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Drodi-SAT---4.1.1.UNS-Ass.s

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%------------------------------------------------------------------------------
% File     : Drodi-SAT---4.1.1
% Problem  : SWW430-1 : TPTP v9.3.1. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -satmode(on) -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 03:09:07 PM UTC 2026

% Result   : Unsatisfiable 0.23s 0.77s
% Output   : Assurance 0s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05  % Problem  : SWW430-1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.06  % Command  : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.45  % Computer : n015.cluster.edu
% 0.18/0.45  % Model    : x86_64 x86_64
% 0.18/0.45  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.45  % Memory   : 8046.5625MB
% 0.18/0.45  % OS       : Linux 6.8.0-71-generic
% 0.18/0.45  % CPULimit : 300
% 0.18/0.45  % WCLimit  : 300
% 0.18/0.45  % DateTime : Mon Sep 21 09:55:22 UTC 2026
% 0.18/0.46  % CPUTime  : 
% 0.18/0.49  % Drodi V4.1.1
% 0.23/0.77  % Refutation found
% 0.23/0.77  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.23/0.77  % SZS output start CNFRefutation for theBenchmark
% 0.23/0.77  fof(f1,axiom,(
% 0.23/0.77    (![S,T,Sigma]: (sep(S,sep(T,Sigma)) = sep(T,sep(S,Sigma)) ))),
% 0.23/0.77    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.23/0.77  fof(f2,axiom,(
% 0.23/0.77    (![X,Sigma]: (sep(lseg(X,X),Sigma) = Sigma ))),
% 0.23/0.77    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.23/0.77  fof(f7,axiom,(
% 0.23/0.77    (![X,Y,Z,Sigma]: (( ~ heap(sep(lseg(X,Y),sep(lseg(X,Z),Sigma)))| X = Y| X = Z ) ))),
% 0.23/0.77    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.23/0.77  fof(f12,hypothesis,(
% 0.23/0.77    x3 != x11 ),
% 0.23/0.77    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.23/0.77  fof(f13,hypothesis,(
% 0.23/0.77    x3 != x12 ),
% 0.23/0.77    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.23/0.77  fof(f17,hypothesis,(
% 0.23/0.77    heap(sep(lseg(x5,x2),sep(lseg(x5,x7),sep(lseg(x5,x4),sep(lseg(x12,x1),sep(lseg(x12,x6),sep(lseg(x2,x12),sep(lseg(x9,x10),sep(lseg(x3,x11),sep(lseg(x3,x1),sep(lseg(x3,x6),sep(lseg(x4,x9),sep(lseg(x4,x8),sep(lseg(x11,x8),sep(lseg(x11,x6),sep(lseg(x1,x9),sep(lseg(x1,x8),sep(lseg(x6,x2),emp)))))))))))))))))) ),
% 0.23/0.77    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.23/0.77  fof(f19,plain,(
% 0.23/0.77    ![X0,X1,X2]: (sep(X0,sep(X1,X2))=sep(X1,sep(X0,X2)))),
% 0.23/0.77    inference(cnf_transformation,[status(thm)],[f1])).
% 0.23/0.77  fof(f20,plain,(
% 0.23/0.77    ![X0,X1]: (sep(lseg(X0,X0),X1)=X1)),
% 0.23/0.77    inference(cnf_transformation,[status(thm)],[f2])).
% 0.23/0.77  fof(f27,plain,(
% 0.23/0.77    ![X,Z]: ((![Y]: ((![Sigma]: ~heap(sep(lseg(X,Y),sep(lseg(X,Z),Sigma))))|X=Y))|X=Z)),
% 0.23/0.77    inference(miniscoping,[status(thm)],[f7])).
% 0.23/0.77  fof(f28,plain,(
% 0.23/0.77    ![X0,X1,X2,X3]: (~heap(sep(lseg(X0,X1),sep(lseg(X0,X2),X3)))|X0=X1|X0=X2)),
% 0.23/0.77    inference(cnf_transformation,[status(thm)],[f27])).
% 0.23/0.77  fof(f37,plain,(
% 0.23/0.77    ~x3=x11),
% 0.23/0.77    inference(cnf_transformation,[status(thm)],[f12])).
% 0.23/0.77  fof(f38,plain,(
% 0.23/0.77    ~x3=x12),
% 0.23/0.77    inference(cnf_transformation,[status(thm)],[f13])).
% 0.23/0.77  fof(f42,plain,(
% 0.23/0.77    heap(sep(lseg(x5,x2),sep(lseg(x5,x7),sep(lseg(x5,x4),sep(lseg(x12,x1),sep(lseg(x12,x6),sep(lseg(x2,x12),sep(lseg(x9,x10),sep(lseg(x3,x11),sep(lseg(x3,x1),sep(lseg(x3,x6),sep(lseg(x4,x9),sep(lseg(x4,x8),sep(lseg(x11,x8),sep(lseg(x11,x6),sep(lseg(x1,x9),sep(lseg(x1,x8),sep(lseg(x6,x2),emp))))))))))))))))))),
% 0.23/0.77    inference(cnf_transformation,[status(thm)],[f17])).
% 0.23/0.77  fof(f51,plain,(
% 0.23/0.77    heap(sep(lseg(x5,x2),sep(lseg(x5,x7),sep(lseg(x5,x4),sep(lseg(x12,x1),sep(lseg(x12,x6),sep(lseg(x2,x12),sep(lseg(x9,x10),sep(lseg(x3,x11),sep(lseg(x3,x1),sep(lseg(x3,x6),sep(lseg(x4,x9),sep(lseg(x4,x8),sep(lseg(x11,x6),sep(lseg(x11,x8),sep(lseg(x1,x9),sep(lseg(x1,x8),sep(lseg(x6,x2),emp))))))))))))))))))),
% 0.23/0.77    inference(backward_demodulation,[status(thm)],[f19,f42])).
% 0.23/0.77  fof(f60,plain,(
% 0.23/0.77    heap(sep(lseg(x5,x7),sep(lseg(x5,x2),sep(lseg(x5,x4),sep(lseg(x12,x1),sep(lseg(x12,x6),sep(lseg(x2,x12),sep(lseg(x9,x10),sep(lseg(x3,x11),sep(lseg(x3,x1),sep(lseg(x3,x6),sep(lseg(x4,x9),sep(lseg(x4,x8),sep(lseg(x11,x6),sep(lseg(x11,x8),sep(lseg(x1,x9),sep(lseg(x1,x8),sep(lseg(x6,x2),emp))))))))))))))))))),
% 0.23/0.77    inference(forward_demodulation,[status(thm)],[f19,f51])).
% 0.23/0.77  fof(f61,plain,(
% 0.23/0.77    heap(sep(lseg(x5,x7),sep(lseg(x5,x2),sep(lseg(x12,x1),sep(lseg(x5,x4),sep(lseg(x12,x6),sep(lseg(x2,x12),sep(lseg(x9,x10),sep(lseg(x3,x11),sep(lseg(x3,x1),sep(lseg(x3,x6),sep(lseg(x4,x9),sep(lseg(x4,x8),sep(lseg(x11,x6),sep(lseg(x11,x8),sep(lseg(x1,x9),sep(lseg(x1,x8),sep(lseg(x6,x2),emp))))))))))))))))))),
% 0.23/0.77    inference(forward_demodulation,[status(thm)],[f19,f60])).
% 0.23/0.77  fof(f62,plain,(
% 0.23/0.77    heap(sep(lseg(x5,x7),sep(lseg(x12,x1),sep(lseg(x5,x2),sep(lseg(x5,x4),sep(lseg(x12,x6),sep(lseg(x2,x12),sep(lseg(x9,x10),sep(lseg(x3,x11),sep(lseg(x3,x1),sep(lseg(x3,x6),sep(lseg(x4,x9),sep(lseg(x4,x8),sep(lseg(x11,x6),sep(lseg(x11,x8),sep(lseg(x1,x9),sep(lseg(x1,x8),sep(lseg(x6,x2),emp))))))))))))))))))),
% 0.23/0.77    inference(forward_demodulation,[status(thm)],[f19,f61])).
% 0.23/0.77  fof(f63,plain,(
% 0.23/0.77    heap(sep(lseg(x12,x1),sep(lseg(x5,x7),sep(lseg(x5,x2),sep(lseg(x5,x4),sep(lseg(x12,x6),sep(lseg(x2,x12),sep(lseg(x9,x10),sep(lseg(x3,x11),sep(lseg(x3,x1),sep(lseg(x3,x6),sep(lseg(x4,x9),sep(lseg(x4,x8),sep(lseg(x11,x6),sep(lseg(x11,x8),sep(lseg(x1,x9),sep(lseg(x1,x8),sep(lseg(x6,x2),emp))))))))))))))))))),
% 0.23/0.77    inference(forward_demodulation,[status(thm)],[f19,f62])).
% 0.23/0.77  fof(f64,plain,(
% 0.23/0.77    heap(sep(lseg(x12,x1),sep(lseg(x5,x7),sep(lseg(x5,x2),sep(lseg(x12,x6),sep(lseg(x5,x4),sep(lseg(x2,x12),sep(lseg(x9,x10),sep(lseg(x3,x11),sep(lseg(x3,x1),sep(lseg(x3,x6),sep(lseg(x4,x9),sep(lseg(x4,x8),sep(lseg(x11,x6),sep(lseg(x11,x8),sep(lseg(x1,x9),sep(lseg(x1,x8),sep(lseg(x6,x2),emp))))))))))))))))))),
% 0.23/0.77    inference(forward_demodulation,[status(thm)],[f19,f63])).
% 0.23/0.77  fof(f65,plain,(
% 0.23/0.77    heap(sep(lseg(x12,x1),sep(lseg(x5,x7),sep(lseg(x12,x6),sep(lseg(x5,x2),sep(lseg(x5,x4),sep(lseg(x2,x12),sep(lseg(x9,x10),sep(lseg(x3,x11),sep(lseg(x3,x1),sep(lseg(x3,x6),sep(lseg(x4,x9),sep(lseg(x4,x8),sep(lseg(x11,x6),sep(lseg(x11,x8),sep(lseg(x1,x9),sep(lseg(x1,x8),sep(lseg(x6,x2),emp))))))))))))))))))),
% 0.23/0.77    inference(forward_demodulation,[status(thm)],[f19,f64])).
% 0.23/0.77  fof(f66,plain,(
% 0.23/0.77    heap(sep(lseg(x12,x1),sep(lseg(x12,x6),sep(lseg(x5,x7),sep(lseg(x5,x2),sep(lseg(x5,x4),sep(lseg(x2,x12),sep(lseg(x9,x10),sep(lseg(x3,x11),sep(lseg(x3,x1),sep(lseg(x3,x6),sep(lseg(x4,x9),sep(lseg(x4,x8),sep(lseg(x11,x6),sep(lseg(x11,x8),sep(lseg(x1,x9),sep(lseg(x1,x8),sep(lseg(x6,x2),emp))))))))))))))))))),
% 0.23/0.77    inference(forward_demodulation,[status(thm)],[f19,f65])).
% 0.23/0.77  fof(f67,plain,(
% 0.23/0.77    heap(sep(lseg(x12,x1),sep(lseg(x12,x6),sep(lseg(x5,x7),sep(lseg(x5,x2),sep(lseg(x2,x12),sep(lseg(x5,x4),sep(lseg(x9,x10),sep(lseg(x3,x11),sep(lseg(x3,x1),sep(lseg(x3,x6),sep(lseg(x4,x9),sep(lseg(x4,x8),sep(lseg(x11,x6),sep(lseg(x11,x8),sep(lseg(x1,x9),sep(lseg(x1,x8),sep(lseg(x6,x2),emp))))))))))))))))))),
% 0.23/0.77    inference(forward_demodulation,[status(thm)],[f19,f66])).
% 0.23/0.77  fof(f68,plain,(
% 0.23/0.77    heap(sep(lseg(x12,x1),sep(lseg(x12,x6),sep(lseg(x5,x7),sep(lseg(x2,x12),sep(lseg(x5,x2),sep(lseg(x5,x4),sep(lseg(x9,x10),sep(lseg(x3,x11),sep(lseg(x3,x1),sep(lseg(x3,x6),sep(lseg(x4,x9),sep(lseg(x4,x8),sep(lseg(x11,x6),sep(lseg(x11,x8),sep(lseg(x1,x9),sep(lseg(x1,x8),sep(lseg(x6,x2),emp))))))))))))))))))),
% 0.23/0.77    inference(forward_demodulation,[status(thm)],[f19,f67])).
% 0.23/0.77  fof(f69,plain,(
% 0.23/0.77    heap(sep(lseg(x12,x1),sep(lseg(x12,x6),sep(lseg(x2,x12),sep(lseg(x5,x7),sep(lseg(x5,x2),sep(lseg(x5,x4),sep(lseg(x9,x10),sep(lseg(x3,x11),sep(lseg(x3,x1),sep(lseg(x3,x6),sep(lseg(x4,x9),sep(lseg(x4,x8),sep(lseg(x11,x6),sep(lseg(x11,x8),sep(lseg(x1,x9),sep(lseg(x1,x8),sep(lseg(x6,x2),emp))))))))))))))))))),
% 0.23/0.77    inference(forward_demodulation,[status(thm)],[f19,f68])).
% 0.23/0.77  fof(f70,plain,(
% 0.23/0.77    heap(sep(lseg(x12,x1),sep(lseg(x12,x6),sep(lseg(x2,x12),sep(lseg(x5,x7),sep(lseg(x5,x2),sep(lseg(x5,x4),sep(lseg(x3,x11),sep(lseg(x9,x10),sep(lseg(x3,x1),sep(lseg(x3,x6),sep(lseg(x4,x9),sep(lseg(x4,x8),sep(lseg(x11,x6),sep(lseg(x11,x8),sep(lseg(x1,x9),sep(lseg(x1,x8),sep(lseg(x6,x2),emp))))))))))))))))))),
% 0.23/0.77    inference(forward_demodulation,[status(thm)],[f19,f69])).
% 0.23/0.77  fof(f71,plain,(
% 0.23/0.77    heap(sep(lseg(x12,x1),sep(lseg(x12,x6),sep(lseg(x2,x12),sep(lseg(x5,x7),sep(lseg(x5,x2),sep(lseg(x3,x11),sep(lseg(x5,x4),sep(lseg(x9,x10),sep(lseg(x3,x1),sep(lseg(x3,x6),sep(lseg(x4,x9),sep(lseg(x4,x8),sep(lseg(x11,x6),sep(lseg(x11,x8),sep(lseg(x1,x9),sep(lseg(x1,x8),sep(lseg(x6,x2),emp))))))))))))))))))),
% 0.23/0.77    inference(forward_demodulation,[status(thm)],[f19,f70])).
% 0.23/0.77  fof(f72,plain,(
% 0.23/0.77    heap(sep(lseg(x12,x1),sep(lseg(x12,x6),sep(lseg(x2,x12),sep(lseg(x5,x7),sep(lseg(x3,x11),sep(lseg(x5,x2),sep(lseg(x5,x4),sep(lseg(x9,x10),sep(lseg(x3,x1),sep(lseg(x3,x6),sep(lseg(x4,x9),sep(lseg(x4,x8),sep(lseg(x11,x6),sep(lseg(x11,x8),sep(lseg(x1,x9),sep(lseg(x1,x8),sep(lseg(x6,x2),emp))))))))))))))))))),
% 0.23/0.77    inference(forward_demodulation,[status(thm)],[f19,f71])).
% 0.23/0.77  fof(f73,plain,(
% 0.23/0.77    heap(sep(lseg(x12,x1),sep(lseg(x12,x6),sep(lseg(x2,x12),sep(lseg(x3,x11),sep(lseg(x5,x7),sep(lseg(x5,x2),sep(lseg(x5,x4),sep(lseg(x9,x10),sep(lseg(x3,x1),sep(lseg(x3,x6),sep(lseg(x4,x9),sep(lseg(x4,x8),sep(lseg(x11,x6),sep(lseg(x11,x8),sep(lseg(x1,x9),sep(lseg(x1,x8),sep(lseg(x6,x2),emp))))))))))))))))))),
% 0.23/0.77    inference(forward_demodulation,[status(thm)],[f19,f72])).
% 0.23/0.77  fof(f74,plain,(
% 0.23/0.77    heap(sep(lseg(x12,x1),sep(lseg(x12,x6),sep(lseg(x3,x11),sep(lseg(x2,x12),sep(lseg(x5,x7),sep(lseg(x5,x2),sep(lseg(x5,x4),sep(lseg(x9,x10),sep(lseg(x3,x1),sep(lseg(x3,x6),sep(lseg(x4,x9),sep(lseg(x4,x8),sep(lseg(x11,x6),sep(lseg(x11,x8),sep(lseg(x1,x9),sep(lseg(x1,x8),sep(lseg(x6,x2),emp))))))))))))))))))),
% 0.23/0.77    inference(forward_demodulation,[status(thm)],[f19,f73])).
% 0.23/0.77  fof(f75,plain,(
% 0.23/0.77    heap(sep(lseg(x12,x1),sep(lseg(x3,x11),sep(lseg(x12,x6),sep(lseg(x2,x12),sep(lseg(x5,x7),sep(lseg(x5,x2),sep(lseg(x5,x4),sep(lseg(x9,x10),sep(lseg(x3,x1),sep(lseg(x3,x6),sep(lseg(x4,x9),sep(lseg(x4,x8),sep(lseg(x11,x6),sep(lseg(x11,x8),sep(lseg(x1,x9),sep(lseg(x1,x8),sep(lseg(x6,x2),emp))))))))))))))))))),
% 0.23/0.77    inference(forward_demodulation,[status(thm)],[f19,f74])).
% 0.23/0.77  fof(f76,plain,(
% 0.23/0.77    heap(sep(lseg(x3,x11),sep(lseg(x12,x1),sep(lseg(x12,x6),sep(lseg(x2,x12),sep(lseg(x5,x7),sep(lseg(x5,x2),sep(lseg(x5,x4),sep(lseg(x9,x10),sep(lseg(x3,x1),sep(lseg(x3,x6),sep(lseg(x4,x9),sep(lseg(x4,x8),sep(lseg(x11,x6),sep(lseg(x11,x8),sep(lseg(x1,x9),sep(lseg(x1,x8),sep(lseg(x6,x2),emp))))))))))))))))))),
% 0.23/0.77    inference(forward_demodulation,[status(thm)],[f19,f75])).
% 0.23/0.77  fof(f77,plain,(
% 0.23/0.77    heap(sep(lseg(x3,x11),sep(lseg(x12,x1),sep(lseg(x12,x6),sep(lseg(x2,x12),sep(lseg(x5,x7),sep(lseg(x5,x2),sep(lseg(x5,x4),sep(lseg(x3,x1),sep(lseg(x9,x10),sep(lseg(x3,x6),sep(lseg(x4,x9),sep(lseg(x4,x8),sep(lseg(x11,x6),sep(lseg(x11,x8),sep(lseg(x1,x9),sep(lseg(x1,x8),sep(lseg(x6,x2),emp))))))))))))))))))),
% 0.23/0.77    inference(forward_demodulation,[status(thm)],[f19,f76])).
% 0.23/0.77  fof(f78,plain,(
% 0.23/0.77    heap(sep(lseg(x3,x11),sep(lseg(x12,x1),sep(lseg(x12,x6),sep(lseg(x2,x12),sep(lseg(x5,x7),sep(lseg(x5,x2),sep(lseg(x3,x1),sep(lseg(x5,x4),sep(lseg(x9,x10),sep(lseg(x3,x6),sep(lseg(x4,x9),sep(lseg(x4,x8),sep(lseg(x11,x6),sep(lseg(x11,x8),sep(lseg(x1,x9),sep(lseg(x1,x8),sep(lseg(x6,x2),emp))))))))))))))))))),
% 0.23/0.77    inference(forward_demodulation,[status(thm)],[f19,f77])).
% 0.23/0.77  fof(f79,plain,(
% 0.23/0.77    heap(sep(lseg(x3,x11),sep(lseg(x12,x1),sep(lseg(x12,x6),sep(lseg(x2,x12),sep(lseg(x5,x7),sep(lseg(x3,x1),sep(lseg(x5,x2),sep(lseg(x5,x4),sep(lseg(x9,x10),sep(lseg(x3,x6),sep(lseg(x4,x9),sep(lseg(x4,x8),sep(lseg(x11,x6),sep(lseg(x11,x8),sep(lseg(x1,x9),sep(lseg(x1,x8),sep(lseg(x6,x2),emp))))))))))))))))))),
% 0.23/0.77    inference(forward_demodulation,[status(thm)],[f19,f78])).
% 0.23/0.77  fof(f80,plain,(
% 0.23/0.77    heap(sep(lseg(x3,x11),sep(lseg(x12,x1),sep(lseg(x12,x6),sep(lseg(x2,x12),sep(lseg(x3,x1),sep(lseg(x5,x7),sep(lseg(x5,x2),sep(lseg(x5,x4),sep(lseg(x9,x10),sep(lseg(x3,x6),sep(lseg(x4,x9),sep(lseg(x4,x8),sep(lseg(x11,x6),sep(lseg(x11,x8),sep(lseg(x1,x9),sep(lseg(x1,x8),sep(lseg(x6,x2),emp))))))))))))))))))),
% 0.23/0.77    inference(forward_demodulation,[status(thm)],[f19,f79])).
% 0.23/0.77  fof(f81,plain,(
% 0.23/0.77    heap(sep(lseg(x3,x11),sep(lseg(x12,x1),sep(lseg(x12,x6),sep(lseg(x3,x1),sep(lseg(x2,x12),sep(lseg(x5,x7),sep(lseg(x5,x2),sep(lseg(x5,x4),sep(lseg(x9,x10),sep(lseg(x3,x6),sep(lseg(x4,x9),sep(lseg(x4,x8),sep(lseg(x11,x6),sep(lseg(x11,x8),sep(lseg(x1,x9),sep(lseg(x1,x8),sep(lseg(x6,x2),emp))))))))))))))))))),
% 0.23/0.77    inference(forward_demodulation,[status(thm)],[f19,f80])).
% 0.23/0.77  fof(f82,plain,(
% 0.23/0.77    heap(sep(lseg(x3,x11),sep(lseg(x12,x1),sep(lseg(x3,x1),sep(lseg(x12,x6),sep(lseg(x2,x12),sep(lseg(x5,x7),sep(lseg(x5,x2),sep(lseg(x5,x4),sep(lseg(x9,x10),sep(lseg(x3,x6),sep(lseg(x4,x9),sep(lseg(x4,x8),sep(lseg(x11,x6),sep(lseg(x11,x8),sep(lseg(x1,x9),sep(lseg(x1,x8),sep(lseg(x6,x2),emp))))))))))))))))))),
% 0.23/0.77    inference(forward_demodulation,[status(thm)],[f19,f81])).
% 0.23/0.77  fof(f83,plain,(
% 0.23/0.77    heap(sep(lseg(x3,x11),sep(lseg(x3,x1),sep(lseg(x12,x1),sep(lseg(x12,x6),sep(lseg(x2,x12),sep(lseg(x5,x7),sep(lseg(x5,x2),sep(lseg(x5,x4),sep(lseg(x9,x10),sep(lseg(x3,x6),sep(lseg(x4,x9),sep(lseg(x4,x8),sep(lseg(x11,x6),sep(lseg(x11,x8),sep(lseg(x1,x9),sep(lseg(x1,x8),sep(lseg(x6,x2),emp))))))))))))))))))),
% 0.23/0.77    inference(forward_demodulation,[status(thm)],[f19,f82])).
% 0.23/0.77  fof(f84,plain,(
% 0.23/0.77    heap(sep(lseg(x3,x11),sep(lseg(x3,x1),sep(lseg(x12,x1),sep(lseg(x12,x6),sep(lseg(x2,x12),sep(lseg(x5,x7),sep(lseg(x5,x2),sep(lseg(x5,x4),sep(lseg(x3,x6),sep(lseg(x9,x10),sep(lseg(x4,x9),sep(lseg(x4,x8),sep(lseg(x11,x6),sep(lseg(x11,x8),sep(lseg(x1,x9),sep(lseg(x1,x8),sep(lseg(x6,x2),emp))))))))))))))))))),
% 0.23/0.77    inference(forward_demodulation,[status(thm)],[f19,f83])).
% 0.23/0.77  fof(f85,plain,(
% 0.23/0.77    heap(sep(lseg(x3,x11),sep(lseg(x3,x1),sep(lseg(x12,x1),sep(lseg(x12,x6),sep(lseg(x2,x12),sep(lseg(x5,x7),sep(lseg(x5,x2),sep(lseg(x3,x6),sep(lseg(x5,x4),sep(lseg(x9,x10),sep(lseg(x4,x9),sep(lseg(x4,x8),sep(lseg(x11,x6),sep(lseg(x11,x8),sep(lseg(x1,x9),sep(lseg(x1,x8),sep(lseg(x6,x2),emp))))))))))))))))))),
% 0.23/0.77    inference(forward_demodulation,[status(thm)],[f19,f84])).
% 0.23/0.77  fof(f86,plain,(
% 0.23/0.77    heap(sep(lseg(x3,x11),sep(lseg(x3,x1),sep(lseg(x12,x1),sep(lseg(x12,x6),sep(lseg(x2,x12),sep(lseg(x5,x7),sep(lseg(x3,x6),sep(lseg(x5,x2),sep(lseg(x5,x4),sep(lseg(x9,x10),sep(lseg(x4,x9),sep(lseg(x4,x8),sep(lseg(x11,x6),sep(lseg(x11,x8),sep(lseg(x1,x9),sep(lseg(x1,x8),sep(lseg(x6,x2),emp))))))))))))))))))),
% 0.23/0.77    inference(forward_demodulation,[status(thm)],[f19,f85])).
% 0.23/0.77  fof(f87,plain,(
% 0.23/0.77    heap(sep(lseg(x3,x11),sep(lseg(x3,x1),sep(lseg(x12,x1),sep(lseg(x12,x6),sep(lseg(x2,x12),sep(lseg(x3,x6),sep(lseg(x5,x7),sep(lseg(x5,x2),sep(lseg(x5,x4),sep(lseg(x9,x10),sep(lseg(x4,x9),sep(lseg(x4,x8),sep(lseg(x11,x6),sep(lseg(x11,x8),sep(lseg(x1,x9),sep(lseg(x1,x8),sep(lseg(x6,x2),emp))))))))))))))))))),
% 0.23/0.77    inference(forward_demodulation,[status(thm)],[f19,f86])).
% 0.23/0.77  fof(f88,plain,(
% 0.23/0.77    heap(sep(lseg(x3,x11),sep(lseg(x3,x1),sep(lseg(x12,x1),sep(lseg(x12,x6),sep(lseg(x3,x6),sep(lseg(x2,x12),sep(lseg(x5,x7),sep(lseg(x5,x2),sep(lseg(x5,x4),sep(lseg(x9,x10),sep(lseg(x4,x9),sep(lseg(x4,x8),sep(lseg(x11,x6),sep(lseg(x11,x8),sep(lseg(x1,x9),sep(lseg(x1,x8),sep(lseg(x6,x2),emp))))))))))))))))))),
% 0.23/0.77    inference(forward_demodulation,[status(thm)],[f19,f87])).
% 0.23/0.77  fof(f89,plain,(
% 0.23/0.77    heap(sep(lseg(x3,x11),sep(lseg(x3,x1),sep(lseg(x12,x1),sep(lseg(x3,x6),sep(lseg(x12,x6),sep(lseg(x2,x12),sep(lseg(x5,x7),sep(lseg(x5,x2),sep(lseg(x5,x4),sep(lseg(x9,x10),sep(lseg(x4,x9),sep(lseg(x4,x8),sep(lseg(x11,x6),sep(lseg(x11,x8),sep(lseg(x1,x9),sep(lseg(x1,x8),sep(lseg(x6,x2),emp))))))))))))))))))),
% 0.23/0.77    inference(forward_demodulation,[status(thm)],[f19,f88])).
% 0.23/0.77  fof(f90,plain,(
% 0.23/0.77    heap(sep(lseg(x3,x11),sep(lseg(x3,x1),sep(lseg(x3,x6),sep(lseg(x12,x1),sep(lseg(x12,x6),sep(lseg(x2,x12),sep(lseg(x5,x7),sep(lseg(x5,x2),sep(lseg(x5,x4),sep(lseg(x9,x10),sep(lseg(x4,x9),sep(lseg(x4,x8),sep(lseg(x11,x6),sep(lseg(x11,x8),sep(lseg(x1,x9),sep(lseg(x1,x8),sep(lseg(x6,x2),emp))))))))))))))))))),
% 0.23/0.77    inference(forward_demodulation,[status(thm)],[f19,f89])).
% 0.23/0.77  fof(f91,plain,(
% 0.23/0.77    heap(sep(lseg(x3,x11),sep(lseg(x3,x1),sep(lseg(x3,x6),sep(lseg(x12,x1),sep(lseg(x12,x6),sep(lseg(x2,x12),sep(lseg(x5,x7),sep(lseg(x5,x2),sep(lseg(x5,x4),sep(lseg(x4,x9),sep(lseg(x9,x10),sep(lseg(x4,x8),sep(lseg(x11,x6),sep(lseg(x11,x8),sep(lseg(x1,x9),sep(lseg(x1,x8),sep(lseg(x6,x2),emp))))))))))))))))))),
% 0.23/0.77    inference(forward_demodulation,[status(thm)],[f19,f90])).
% 0.23/0.77  fof(f92,plain,(
% 0.23/0.77    heap(sep(lseg(x3,x11),sep(lseg(x3,x1),sep(lseg(x3,x6),sep(lseg(x12,x1),sep(lseg(x12,x6),sep(lseg(x2,x12),sep(lseg(x5,x7),sep(lseg(x5,x2),sep(lseg(x5,x4),sep(lseg(x4,x9),sep(lseg(x4,x8),sep(lseg(x9,x10),sep(lseg(x11,x6),sep(lseg(x11,x8),sep(lseg(x1,x9),sep(lseg(x1,x8),sep(lseg(x6,x2),emp))))))))))))))))))),
% 0.23/0.77    inference(forward_demodulation,[status(thm)],[f19,f91])).
% 0.23/0.77  fof(f93,plain,(
% 0.23/0.77    heap(sep(lseg(x3,x11),sep(lseg(x3,x1),sep(lseg(x3,x6),sep(lseg(x12,x1),sep(lseg(x12,x6),sep(lseg(x2,x12),sep(lseg(x5,x7),sep(lseg(x5,x2),sep(lseg(x5,x4),sep(lseg(x4,x9),sep(lseg(x4,x8),sep(lseg(x11,x6),sep(lseg(x9,x10),sep(lseg(x11,x8),sep(lseg(x1,x9),sep(lseg(x1,x8),sep(lseg(x6,x2),emp))))))))))))))))))),
% 0.23/0.77    inference(forward_demodulation,[status(thm)],[f19,f92])).
% 0.23/0.77  fof(f94,plain,(
% 0.23/0.77    heap(sep(lseg(x3,x11),sep(lseg(x3,x1),sep(lseg(x3,x6),sep(lseg(x12,x1),sep(lseg(x12,x6),sep(lseg(x2,x12),sep(lseg(x5,x7),sep(lseg(x5,x2),sep(lseg(x5,x4),sep(lseg(x4,x9),sep(lseg(x11,x6),sep(lseg(x4,x8),sep(lseg(x9,x10),sep(lseg(x11,x8),sep(lseg(x1,x9),sep(lseg(x1,x8),sep(lseg(x6,x2),emp))))))))))))))))))),
% 0.23/0.77    inference(forward_demodulation,[status(thm)],[f19,f93])).
% 0.23/0.77  fof(f95,plain,(
% 0.23/0.77    heap(sep(lseg(x3,x11),sep(lseg(x3,x1),sep(lseg(x3,x6),sep(lseg(x12,x1),sep(lseg(x12,x6),sep(lseg(x2,x12),sep(lseg(x5,x7),sep(lseg(x5,x2),sep(lseg(x5,x4),sep(lseg(x11,x6),sep(lseg(x4,x9),sep(lseg(x4,x8),sep(lseg(x9,x10),sep(lseg(x11,x8),sep(lseg(x1,x9),sep(lseg(x1,x8),sep(lseg(x6,x2),emp))))))))))))))))))),
% 0.23/0.77    inference(forward_demodulation,[status(thm)],[f19,f94])).
% 0.23/0.77  fof(f96,plain,(
% 0.23/0.77    heap(sep(lseg(x3,x11),sep(lseg(x3,x1),sep(lseg(x3,x6),sep(lseg(x12,x1),sep(lseg(x12,x6),sep(lseg(x2,x12),sep(lseg(x5,x7),sep(lseg(x5,x2),sep(lseg(x11,x6),sep(lseg(x5,x4),sep(lseg(x4,x9),sep(lseg(x4,x8),sep(lseg(x9,x10),sep(lseg(x11,x8),sep(lseg(x1,x9),sep(lseg(x1,x8),sep(lseg(x6,x2),emp))))))))))))))))))),
% 0.23/0.77    inference(forward_demodulation,[status(thm)],[f19,f95])).
% 0.23/0.77  fof(f97,plain,(
% 0.23/0.77    heap(sep(lseg(x3,x11),sep(lseg(x3,x1),sep(lseg(x3,x6),sep(lseg(x12,x1),sep(lseg(x12,x6),sep(lseg(x2,x12),sep(lseg(x5,x7),sep(lseg(x11,x6),sep(lseg(x5,x2),sep(lseg(x5,x4),sep(lseg(x4,x9),sep(lseg(x4,x8),sep(lseg(x9,x10),sep(lseg(x11,x8),sep(lseg(x1,x9),sep(lseg(x1,x8),sep(lseg(x6,x2),emp))))))))))))))))))),
% 0.23/0.77    inference(forward_demodulation,[status(thm)],[f19,f96])).
% 0.23/0.77  fof(f98,plain,(
% 0.23/0.77    heap(sep(lseg(x3,x11),sep(lseg(x3,x1),sep(lseg(x3,x6),sep(lseg(x12,x1),sep(lseg(x12,x6),sep(lseg(x2,x12),sep(lseg(x11,x6),sep(lseg(x5,x7),sep(lseg(x5,x2),sep(lseg(x5,x4),sep(lseg(x4,x9),sep(lseg(x4,x8),sep(lseg(x9,x10),sep(lseg(x11,x8),sep(lseg(x1,x9),sep(lseg(x1,x8),sep(lseg(x6,x2),emp))))))))))))))))))),
% 0.23/0.77    inference(forward_demodulation,[status(thm)],[f19,f97])).
% 0.23/0.77  fof(f99,plain,(
% 0.23/0.77    heap(sep(lseg(x3,x11),sep(lseg(x3,x1),sep(lseg(x3,x6),sep(lseg(x12,x1),sep(lseg(x12,x6),sep(lseg(x11,x6),sep(lseg(x2,x12),sep(lseg(x5,x7),sep(lseg(x5,x2),sep(lseg(x5,x4),sep(lseg(x4,x9),sep(lseg(x4,x8),sep(lseg(x9,x10),sep(lseg(x11,x8),sep(lseg(x1,x9),sep(lseg(x1,x8),sep(lseg(x6,x2),emp))))))))))))))))))),
% 0.23/0.77    inference(forward_demodulation,[status(thm)],[f19,f98])).
% 0.23/0.77  fof(f100,plain,(
% 0.23/0.77    heap(sep(lseg(x3,x11),sep(lseg(x3,x1),sep(lseg(x3,x6),sep(lseg(x12,x1),sep(lseg(x11,x6),sep(lseg(x12,x6),sep(lseg(x2,x12),sep(lseg(x5,x7),sep(lseg(x5,x2),sep(lseg(x5,x4),sep(lseg(x4,x9),sep(lseg(x4,x8),sep(lseg(x9,x10),sep(lseg(x11,x8),sep(lseg(x1,x9),sep(lseg(x1,x8),sep(lseg(x6,x2),emp))))))))))))))))))),
% 0.23/0.77    inference(forward_demodulation,[status(thm)],[f19,f99])).
% 0.23/0.77  fof(f101,plain,(
% 0.23/0.77    heap(sep(lseg(x3,x11),sep(lseg(x3,x1),sep(lseg(x3,x6),sep(lseg(x11,x6),sep(lseg(x12,x1),sep(lseg(x12,x6),sep(lseg(x2,x12),sep(lseg(x5,x7),sep(lseg(x5,x2),sep(lseg(x5,x4),sep(lseg(x4,x9),sep(lseg(x4,x8),sep(lseg(x9,x10),sep(lseg(x11,x8),sep(lseg(x1,x9),sep(lseg(x1,x8),sep(lseg(x6,x2),emp))))))))))))))))))),
% 0.23/0.77    inference(forward_demodulation,[status(thm)],[f19,f100])).
% 0.23/0.77  fof(f102,plain,(
% 0.23/0.77    heap(sep(lseg(x3,x11),sep(lseg(x3,x1),sep(lseg(x3,x6),sep(lseg(x11,x6),sep(lseg(x12,x1),sep(lseg(x12,x6),sep(lseg(x2,x12),sep(lseg(x5,x7),sep(lseg(x5,x2),sep(lseg(x5,x4),sep(lseg(x4,x9),sep(lseg(x4,x8),sep(lseg(x11,x8),sep(lseg(x9,x10),sep(lseg(x1,x9),sep(lseg(x1,x8),sep(lseg(x6,x2),emp))))))))))))))))))),
% 0.23/0.77    inference(forward_demodulation,[status(thm)],[f19,f101])).
% 0.23/0.77  fof(f103,plain,(
% 0.23/0.77    heap(sep(lseg(x3,x11),sep(lseg(x3,x1),sep(lseg(x3,x6),sep(lseg(x11,x6),sep(lseg(x12,x1),sep(lseg(x12,x6),sep(lseg(x2,x12),sep(lseg(x5,x7),sep(lseg(x5,x2),sep(lseg(x5,x4),sep(lseg(x4,x9),sep(lseg(x11,x8),sep(lseg(x4,x8),sep(lseg(x9,x10),sep(lseg(x1,x9),sep(lseg(x1,x8),sep(lseg(x6,x2),emp))))))))))))))))))),
% 0.23/0.77    inference(forward_demodulation,[status(thm)],[f19,f102])).
% 0.23/0.77  fof(f104,plain,(
% 0.23/0.77    heap(sep(lseg(x3,x11),sep(lseg(x3,x1),sep(lseg(x3,x6),sep(lseg(x11,x6),sep(lseg(x12,x1),sep(lseg(x12,x6),sep(lseg(x2,x12),sep(lseg(x5,x7),sep(lseg(x5,x2),sep(lseg(x5,x4),sep(lseg(x11,x8),sep(lseg(x4,x9),sep(lseg(x4,x8),sep(lseg(x9,x10),sep(lseg(x1,x9),sep(lseg(x1,x8),sep(lseg(x6,x2),emp))))))))))))))))))),
% 0.23/0.77    inference(forward_demodulation,[status(thm)],[f19,f103])).
% 0.23/0.77  fof(f105,plain,(
% 0.23/0.77    heap(sep(lseg(x3,x11),sep(lseg(x3,x1),sep(lseg(x3,x6),sep(lseg(x11,x6),sep(lseg(x12,x1),sep(lseg(x12,x6),sep(lseg(x2,x12),sep(lseg(x5,x7),sep(lseg(x5,x2),sep(lseg(x11,x8),sep(lseg(x5,x4),sep(lseg(x4,x9),sep(lseg(x4,x8),sep(lseg(x9,x10),sep(lseg(x1,x9),sep(lseg(x1,x8),sep(lseg(x6,x2),emp))))))))))))))))))),
% 0.23/0.77    inference(forward_demodulation,[status(thm)],[f19,f104])).
% 0.23/0.77  fof(f106,plain,(
% 0.23/0.77    heap(sep(lseg(x3,x11),sep(lseg(x3,x1),sep(lseg(x3,x6),sep(lseg(x11,x6),sep(lseg(x12,x1),sep(lseg(x12,x6),sep(lseg(x2,x12),sep(lseg(x5,x7),sep(lseg(x11,x8),sep(lseg(x5,x2),sep(lseg(x5,x4),sep(lseg(x4,x9),sep(lseg(x4,x8),sep(lseg(x9,x10),sep(lseg(x1,x9),sep(lseg(x1,x8),sep(lseg(x6,x2),emp))))))))))))))))))),
% 0.23/0.77    inference(forward_demodulation,[status(thm)],[f19,f105])).
% 0.23/0.77  fof(f107,plain,(
% 0.23/0.77    heap(sep(lseg(x3,x11),sep(lseg(x3,x1),sep(lseg(x3,x6),sep(lseg(x11,x6),sep(lseg(x12,x1),sep(lseg(x12,x6),sep(lseg(x2,x12),sep(lseg(x11,x8),sep(lseg(x5,x7),sep(lseg(x5,x2),sep(lseg(x5,x4),sep(lseg(x4,x9),sep(lseg(x4,x8),sep(lseg(x9,x10),sep(lseg(x1,x9),sep(lseg(x1,x8),sep(lseg(x6,x2),emp))))))))))))))))))),
% 0.23/0.77    inference(forward_demodulation,[status(thm)],[f19,f106])).
% 0.23/0.77  fof(f108,plain,(
% 0.23/0.77    heap(sep(lseg(x3,x11),sep(lseg(x3,x1),sep(lseg(x3,x6),sep(lseg(x11,x6),sep(lseg(x12,x1),sep(lseg(x12,x6),sep(lseg(x11,x8),sep(lseg(x2,x12),sep(lseg(x5,x7),sep(lseg(x5,x2),sep(lseg(x5,x4),sep(lseg(x4,x9),sep(lseg(x4,x8),sep(lseg(x9,x10),sep(lseg(x1,x9),sep(lseg(x1,x8),sep(lseg(x6,x2),emp))))))))))))))))))),
% 0.23/0.77    inference(forward_demodulation,[status(thm)],[f19,f107])).
% 0.23/0.77  fof(f109,plain,(
% 0.23/0.77    heap(sep(lseg(x3,x11),sep(lseg(x3,x1),sep(lseg(x3,x6),sep(lseg(x11,x6),sep(lseg(x12,x1),sep(lseg(x11,x8),sep(lseg(x12,x6),sep(lseg(x2,x12),sep(lseg(x5,x7),sep(lseg(x5,x2),sep(lseg(x5,x4),sep(lseg(x4,x9),sep(lseg(x4,x8),sep(lseg(x9,x10),sep(lseg(x1,x9),sep(lseg(x1,x8),sep(lseg(x6,x2),emp))))))))))))))))))),
% 0.23/0.77    inference(forward_demodulation,[status(thm)],[f19,f108])).
% 0.23/0.77  fof(f110,plain,(
% 0.23/0.77    heap(sep(lseg(x3,x11),sep(lseg(x3,x1),sep(lseg(x3,x6),sep(lseg(x11,x6),sep(lseg(x11,x8),sep(lseg(x12,x1),sep(lseg(x12,x6),sep(lseg(x2,x12),sep(lseg(x5,x7),sep(lseg(x5,x2),sep(lseg(x5,x4),sep(lseg(x4,x9),sep(lseg(x4,x8),sep(lseg(x9,x10),sep(lseg(x1,x9),sep(lseg(x1,x8),sep(lseg(x6,x2),emp))))))))))))))))))),
% 0.23/0.77    inference(forward_demodulation,[status(thm)],[f19,f109])).
% 0.23/0.77  fof(f111,plain,(
% 0.23/0.77    heap(sep(lseg(x3,x11),sep(lseg(x3,x1),sep(lseg(x3,x6),sep(lseg(x11,x6),sep(lseg(x11,x8),sep(lseg(x12,x1),sep(lseg(x12,x6),sep(lseg(x2,x12),sep(lseg(x5,x7),sep(lseg(x5,x2),sep(lseg(x5,x4),sep(lseg(x4,x9),sep(lseg(x4,x8),sep(lseg(x1,x9),sep(lseg(x9,x10),sep(lseg(x1,x8),sep(lseg(x6,x2),emp))))))))))))))))))),
% 0.23/0.77    inference(forward_demodulation,[status(thm)],[f19,f110])).
% 0.23/0.77  fof(f112,plain,(
% 0.23/0.77    heap(sep(lseg(x3,x11),sep(lseg(x3,x1),sep(lseg(x3,x6),sep(lseg(x11,x6),sep(lseg(x11,x8),sep(lseg(x12,x1),sep(lseg(x12,x6),sep(lseg(x2,x12),sep(lseg(x5,x7),sep(lseg(x5,x2),sep(lseg(x5,x4),sep(lseg(x4,x9),sep(lseg(x4,x8),sep(lseg(x1,x9),sep(lseg(x1,x8),sep(lseg(x9,x10),sep(lseg(x6,x2),emp))))))))))))))))))),
% 0.23/0.77    inference(forward_demodulation,[status(thm)],[f19,f111])).
% 0.23/0.77  fof(f113,plain,(
% 0.23/0.77    heap(sep(lseg(x3,x11),sep(lseg(x3,x1),sep(lseg(x3,x6),sep(lseg(x11,x6),sep(lseg(x11,x8),sep(lseg(x12,x1),sep(lseg(x12,x6),sep(lseg(x2,x12),sep(lseg(x5,x7),sep(lseg(x5,x2),sep(lseg(x5,x4),sep(lseg(x4,x9),sep(lseg(x4,x8),sep(lseg(x1,x9),sep(lseg(x1,x8),sep(lseg(x6,x2),sep(lseg(x9,x10),emp))))))))))))))))))),
% 0.23/0.77    inference(forward_demodulation,[status(thm)],[f19,f112])).
% 0.23/0.77  fof(f167,plain,(
% 0.23/0.77    ![X0,X1,X2,X3,X4]: (~heap(sep(lseg(X0,X1),sep(X2,sep(lseg(X0,X3),X4))))|X0=X1|X0=X3)),
% 0.23/0.77    inference(paramodulation,[status(thm)],[f19,f28])).
% 0.23/0.77  fof(f763,plain,(
% 0.23/0.77    x3=x11|x3=x1),
% 0.23/0.77    inference(resolution,[status(thm)],[f113,f28])).
% 0.23/0.77  fof(f764,plain,(
% 0.23/0.77    x3=x11|x3=x6),
% 0.23/0.77    inference(resolution,[status(thm)],[f113,f167])).
% 0.23/0.77  fof(f767,definition,(
% 0.23/0.77    sQ8_spl <=> (x3=x11)),
% 0.23/0.77    introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition])).
% 0.23/0.77  fof(f768,plain,(
% 0.23/0.77    x3=x11|~sQ8_spl),
% 0.23/0.77    inference(component_clause,[status(thm)],[f767])).
% 0.23/0.77  fof(f770,definition,(
% 0.23/0.77    sQ9_spl <=> (x3=x1)),
% 0.23/0.77    introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition])).
% 0.23/0.77  fof(f771,plain,(
% 0.23/0.77    x3=x1|~sQ9_spl),
% 0.23/0.77    inference(component_clause,[status(thm)],[f770])).
% 0.23/0.77  fof(f773,plain,(
% 0.23/0.77    sQ8_spl|sQ9_spl),
% 0.23/0.77    inference(split_clause,[status(thm)],[f763,f767,f770])).
% 0.23/0.77  fof(f774,definition,(
% 0.23/0.77    sQ10_spl <=> (x3=x6)),
% 0.23/0.77    introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition])).
% 0.23/0.77  fof(f775,plain,(
% 0.23/0.77    x3=x6|~sQ10_spl),
% 0.23/0.77    inference(component_clause,[status(thm)],[f774])).
% 0.23/0.77  fof(f777,plain,(
% 0.23/0.77    sQ8_spl|sQ10_spl),
% 0.23/0.77    inference(split_clause,[status(thm)],[f764,f767,f774])).
% 0.23/0.77  fof(f783,plain,(
% 0.23/0.77    $false|~sQ8_spl),
% 0.23/0.77    inference(forward_subsumption_resolution,[status(thm)],[f768,f37])).
% 0.23/0.77  fof(f784,plain,(
% 0.23/0.77    ~sQ8_spl),
% 0.23/0.77    inference(contradiction_clause,[status(thm)],[f783])).
% 0.23/0.77  fof(f785,plain,(
% 0.23/0.77    heap(sep(lseg(x3,x11),sep(lseg(x3,x1),sep(lseg(x3,x6),sep(lseg(x11,x6),sep(lseg(x11,x8),sep(lseg(x12,x1),sep(lseg(x12,x6),sep(lseg(x2,x12),sep(lseg(x5,x7),sep(lseg(x5,x2),sep(lseg(x5,x4),sep(lseg(x4,x9),sep(lseg(x4,x8),sep(lseg(x1,x9),sep(lseg(x3,x8),sep(lseg(x6,x2),sep(lseg(x9,x10),emp))))))))))))))))))|~sQ9_spl),
% 0.23/0.77    inference(backward_demodulation,[status(thm)],[f771,f113])).
% 0.23/0.77  fof(f786,plain,(
% 0.23/0.77    heap(sep(lseg(x3,x11),sep(lseg(x3,x3),sep(lseg(x3,x6),sep(lseg(x11,x6),sep(lseg(x11,x8),sep(lseg(x12,x1),sep(lseg(x12,x6),sep(lseg(x2,x12),sep(lseg(x5,x7),sep(lseg(x5,x2),sep(lseg(x5,x4),sep(lseg(x4,x9),sep(lseg(x4,x8),sep(lseg(x1,x9),sep(lseg(x3,x8),sep(lseg(x6,x2),sep(lseg(x9,x10),emp))))))))))))))))))|~sQ9_spl),
% 0.23/0.77    inference(forward_demodulation,[status(thm)],[f771,f785])).
% 0.23/0.77  fof(f787,plain,(
% 0.23/0.77    heap(sep(lseg(x3,x3),sep(lseg(x3,x11),sep(lseg(x3,x6),sep(lseg(x11,x6),sep(lseg(x11,x8),sep(lseg(x12,x1),sep(lseg(x12,x6),sep(lseg(x2,x12),sep(lseg(x5,x7),sep(lseg(x5,x2),sep(lseg(x5,x4),sep(lseg(x4,x9),sep(lseg(x4,x8),sep(lseg(x1,x9),sep(lseg(x3,x8),sep(lseg(x6,x2),sep(lseg(x9,x10),emp))))))))))))))))))|~sQ9_spl),
% 0.23/0.77    inference(forward_demodulation,[status(thm)],[f19,f786])).
% 0.23/0.77  fof(f788,plain,(
% 0.23/0.77    heap(sep(lseg(x3,x11),sep(lseg(x3,x6),sep(lseg(x11,x6),sep(lseg(x11,x8),sep(lseg(x12,x1),sep(lseg(x12,x6),sep(lseg(x2,x12),sep(lseg(x5,x7),sep(lseg(x5,x2),sep(lseg(x5,x4),sep(lseg(x4,x9),sep(lseg(x4,x8),sep(lseg(x1,x9),sep(lseg(x3,x8),sep(lseg(x6,x2),sep(lseg(x9,x10),emp)))))))))))))))))|~sQ9_spl),
% 0.23/0.77    inference(forward_demodulation,[status(thm)],[f20,f787])).
% 0.23/0.77  fof(f789,plain,(
% 0.23/0.77    heap(sep(lseg(x3,x11),sep(lseg(x3,x6),sep(lseg(x11,x6),sep(lseg(x11,x8),sep(lseg(x12,x3),sep(lseg(x12,x6),sep(lseg(x2,x12),sep(lseg(x5,x7),sep(lseg(x5,x2),sep(lseg(x5,x4),sep(lseg(x4,x9),sep(lseg(x4,x8),sep(lseg(x1,x9),sep(lseg(x3,x8),sep(lseg(x6,x2),sep(lseg(x9,x10),emp)))))))))))))))))|~sQ9_spl),
% 0.23/0.77    inference(forward_demodulation,[status(thm)],[f771,f788])).
% 0.23/0.77  fof(f790,plain,(
% 0.23/0.77    heap(sep(lseg(x3,x11),sep(lseg(x3,x6),sep(lseg(x11,x6),sep(lseg(x11,x8),sep(lseg(x12,x3),sep(lseg(x12,x6),sep(lseg(x2,x12),sep(lseg(x5,x7),sep(lseg(x5,x2),sep(lseg(x5,x4),sep(lseg(x4,x9),sep(lseg(x4,x8),sep(lseg(x3,x8),sep(lseg(x1,x9),sep(lseg(x6,x2),sep(lseg(x9,x10),emp)))))))))))))))))|~sQ9_spl),
% 0.23/0.77    inference(forward_demodulation,[status(thm)],[f19,f789])).
% 0.23/0.77  fof(f791,plain,(
% 0.23/0.77    heap(sep(lseg(x3,x11),sep(lseg(x3,x6),sep(lseg(x11,x6),sep(lseg(x11,x8),sep(lseg(x12,x3),sep(lseg(x12,x6),sep(lseg(x2,x12),sep(lseg(x5,x7),sep(lseg(x5,x2),sep(lseg(x5,x4),sep(lseg(x4,x9),sep(lseg(x3,x8),sep(lseg(x4,x8),sep(lseg(x1,x9),sep(lseg(x6,x2),sep(lseg(x9,x10),emp)))))))))))))))))|~sQ9_spl),
% 0.23/0.77    inference(forward_demodulation,[status(thm)],[f19,f790])).
% 0.23/0.77  fof(f792,plain,(
% 0.23/0.77    heap(sep(lseg(x3,x11),sep(lseg(x3,x6),sep(lseg(x11,x6),sep(lseg(x11,x8),sep(lseg(x12,x3),sep(lseg(x12,x6),sep(lseg(x2,x12),sep(lseg(x5,x7),sep(lseg(x5,x2),sep(lseg(x5,x4),sep(lseg(x3,x8),sep(lseg(x4,x9),sep(lseg(x4,x8),sep(lseg(x1,x9),sep(lseg(x6,x2),sep(lseg(x9,x10),emp)))))))))))))))))|~sQ9_spl),
% 0.23/0.77    inference(forward_demodulation,[status(thm)],[f19,f791])).
% 0.23/0.77  fof(f793,plain,(
% 0.23/0.77    heap(sep(lseg(x3,x11),sep(lseg(x3,x6),sep(lseg(x11,x6),sep(lseg(x11,x8),sep(lseg(x12,x3),sep(lseg(x12,x6),sep(lseg(x2,x12),sep(lseg(x5,x7),sep(lseg(x5,x2),sep(lseg(x3,x8),sep(lseg(x5,x4),sep(lseg(x4,x9),sep(lseg(x4,x8),sep(lseg(x1,x9),sep(lseg(x6,x2),sep(lseg(x9,x10),emp)))))))))))))))))|~sQ9_spl),
% 0.23/0.77    inference(forward_demodulation,[status(thm)],[f19,f792])).
% 0.23/0.77  fof(f794,plain,(
% 0.23/0.77    heap(sep(lseg(x3,x11),sep(lseg(x3,x6),sep(lseg(x11,x6),sep(lseg(x11,x8),sep(lseg(x12,x3),sep(lseg(x12,x6),sep(lseg(x2,x12),sep(lseg(x5,x7),sep(lseg(x3,x8),sep(lseg(x5,x2),sep(lseg(x5,x4),sep(lseg(x4,x9),sep(lseg(x4,x8),sep(lseg(x1,x9),sep(lseg(x6,x2),sep(lseg(x9,x10),emp)))))))))))))))))|~sQ9_spl),
% 0.23/0.77    inference(forward_demodulation,[status(thm)],[f19,f793])).
% 0.23/0.77  fof(f795,plain,(
% 0.23/0.77    heap(sep(lseg(x3,x11),sep(lseg(x3,x6),sep(lseg(x11,x6),sep(lseg(x11,x8),sep(lseg(x12,x3),sep(lseg(x12,x6),sep(lseg(x2,x12),sep(lseg(x3,x8),sep(lseg(x5,x7),sep(lseg(x5,x2),sep(lseg(x5,x4),sep(lseg(x4,x9),sep(lseg(x4,x8),sep(lseg(x1,x9),sep(lseg(x6,x2),sep(lseg(x9,x10),emp)))))))))))))))))|~sQ9_spl),
% 0.23/0.77    inference(forward_demodulation,[status(thm)],[f19,f794])).
% 0.23/0.77  fof(f796,plain,(
% 0.23/0.77    heap(sep(lseg(x3,x11),sep(lseg(x3,x6),sep(lseg(x11,x6),sep(lseg(x11,x8),sep(lseg(x12,x3),sep(lseg(x12,x6),sep(lseg(x3,x8),sep(lseg(x2,x12),sep(lseg(x5,x7),sep(lseg(x5,x2),sep(lseg(x5,x4),sep(lseg(x4,x9),sep(lseg(x4,x8),sep(lseg(x1,x9),sep(lseg(x6,x2),sep(lseg(x9,x10),emp)))))))))))))))))|~sQ9_spl),
% 0.23/0.77    inference(forward_demodulation,[status(thm)],[f19,f795])).
% 0.23/0.77  fof(f797,plain,(
% 0.23/0.77    heap(sep(lseg(x3,x11),sep(lseg(x3,x6),sep(lseg(x11,x6),sep(lseg(x11,x8),sep(lseg(x12,x3),sep(lseg(x3,x8),sep(lseg(x12,x6),sep(lseg(x2,x12),sep(lseg(x5,x7),sep(lseg(x5,x2),sep(lseg(x5,x4),sep(lseg(x4,x9),sep(lseg(x4,x8),sep(lseg(x1,x9),sep(lseg(x6,x2),sep(lseg(x9,x10),emp)))))))))))))))))|~sQ9_spl),
% 0.23/0.77    inference(forward_demodulation,[status(thm)],[f19,f796])).
% 0.23/0.77  fof(f798,plain,(
% 0.23/0.77    heap(sep(lseg(x3,x11),sep(lseg(x3,x6),sep(lseg(x11,x6),sep(lseg(x11,x8),sep(lseg(x3,x8),sep(lseg(x12,x3),sep(lseg(x12,x6),sep(lseg(x2,x12),sep(lseg(x5,x7),sep(lseg(x5,x2),sep(lseg(x5,x4),sep(lseg(x4,x9),sep(lseg(x4,x8),sep(lseg(x1,x9),sep(lseg(x6,x2),sep(lseg(x9,x10),emp)))))))))))))))))|~sQ9_spl),
% 0.23/0.77    inference(forward_demodulation,[status(thm)],[f19,f797])).
% 0.23/0.77  fof(f799,plain,(
% 0.23/0.77    heap(sep(lseg(x3,x11),sep(lseg(x3,x6),sep(lseg(x11,x6),sep(lseg(x3,x8),sep(lseg(x11,x8),sep(lseg(x12,x3),sep(lseg(x12,x6),sep(lseg(x2,x12),sep(lseg(x5,x7),sep(lseg(x5,x2),sep(lseg(x5,x4),sep(lseg(x4,x9),sep(lseg(x4,x8),sep(lseg(x1,x9),sep(lseg(x6,x2),sep(lseg(x9,x10),emp)))))))))))))))))|~sQ9_spl),
% 0.23/0.77    inference(forward_demodulation,[status(thm)],[f19,f798])).
% 0.23/0.77  fof(f800,plain,(
% 0.23/0.77    heap(sep(lseg(x3,x11),sep(lseg(x3,x6),sep(lseg(x3,x8),sep(lseg(x11,x6),sep(lseg(x11,x8),sep(lseg(x12,x3),sep(lseg(x12,x6),sep(lseg(x2,x12),sep(lseg(x5,x7),sep(lseg(x5,x2),sep(lseg(x5,x4),sep(lseg(x4,x9),sep(lseg(x4,x8),sep(lseg(x1,x9),sep(lseg(x6,x2),sep(lseg(x9,x10),emp)))))))))))))))))|~sQ9_spl),
% 0.23/0.77    inference(forward_demodulation,[status(thm)],[f19,f799])).
% 0.23/0.77  fof(f801,plain,(
% 0.23/0.77    heap(sep(lseg(x3,x11),sep(lseg(x3,x6),sep(lseg(x3,x8),sep(lseg(x11,x6),sep(lseg(x11,x8),sep(lseg(x12,x3),sep(lseg(x12,x6),sep(lseg(x2,x12),sep(lseg(x5,x7),sep(lseg(x5,x2),sep(lseg(x5,x4),sep(lseg(x4,x9),sep(lseg(x4,x8),sep(lseg(x3,x9),sep(lseg(x6,x2),sep(lseg(x9,x10),emp)))))))))))))))))|~sQ9_spl),
% 0.23/0.77    inference(forward_demodulation,[status(thm)],[f771,f800])).
% 0.23/0.77  fof(f802,plain,(
% 0.23/0.77    heap(sep(lseg(x3,x11),sep(lseg(x3,x6),sep(lseg(x3,x8),sep(lseg(x11,x6),sep(lseg(x11,x8),sep(lseg(x12,x3),sep(lseg(x12,x6),sep(lseg(x2,x12),sep(lseg(x5,x7),sep(lseg(x5,x2),sep(lseg(x5,x4),sep(lseg(x4,x9),sep(lseg(x3,x9),sep(lseg(x4,x8),sep(lseg(x6,x2),sep(lseg(x9,x10),emp)))))))))))))))))|~sQ9_spl),
% 0.23/0.77    inference(forward_demodulation,[status(thm)],[f19,f801])).
% 0.23/0.77  fof(f803,plain,(
% 0.23/0.77    heap(sep(lseg(x3,x11),sep(lseg(x3,x6),sep(lseg(x3,x8),sep(lseg(x11,x6),sep(lseg(x11,x8),sep(lseg(x12,x3),sep(lseg(x12,x6),sep(lseg(x2,x12),sep(lseg(x5,x7),sep(lseg(x5,x2),sep(lseg(x5,x4),sep(lseg(x3,x9),sep(lseg(x4,x9),sep(lseg(x4,x8),sep(lseg(x6,x2),sep(lseg(x9,x10),emp)))))))))))))))))|~sQ9_spl),
% 0.23/0.77    inference(forward_demodulation,[status(thm)],[f19,f802])).
% 0.23/0.77  fof(f804,plain,(
% 0.23/0.77    heap(sep(lseg(x3,x11),sep(lseg(x3,x6),sep(lseg(x3,x8),sep(lseg(x11,x6),sep(lseg(x11,x8),sep(lseg(x12,x3),sep(lseg(x12,x6),sep(lseg(x2,x12),sep(lseg(x5,x7),sep(lseg(x5,x2),sep(lseg(x3,x9),sep(lseg(x5,x4),sep(lseg(x4,x9),sep(lseg(x4,x8),sep(lseg(x6,x2),sep(lseg(x9,x10),emp)))))))))))))))))|~sQ9_spl),
% 0.23/0.77    inference(forward_demodulation,[status(thm)],[f19,f803])).
% 0.23/0.77  fof(f805,plain,(
% 0.23/0.77    heap(sep(lseg(x3,x11),sep(lseg(x3,x6),sep(lseg(x3,x8),sep(lseg(x11,x6),sep(lseg(x11,x8),sep(lseg(x12,x3),sep(lseg(x12,x6),sep(lseg(x2,x12),sep(lseg(x5,x7),sep(lseg(x3,x9),sep(lseg(x5,x2),sep(lseg(x5,x4),sep(lseg(x4,x9),sep(lseg(x4,x8),sep(lseg(x6,x2),sep(lseg(x9,x10),emp)))))))))))))))))|~sQ9_spl),
% 0.23/0.77    inference(forward_demodulation,[status(thm)],[f19,f804])).
% 0.23/0.77  fof(f806,plain,(
% 0.23/0.77    heap(sep(lseg(x3,x11),sep(lseg(x3,x6),sep(lseg(x3,x8),sep(lseg(x11,x6),sep(lseg(x11,x8),sep(lseg(x12,x3),sep(lseg(x12,x6),sep(lseg(x2,x12),sep(lseg(x3,x9),sep(lseg(x5,x7),sep(lseg(x5,x2),sep(lseg(x5,x4),sep(lseg(x4,x9),sep(lseg(x4,x8),sep(lseg(x6,x2),sep(lseg(x9,x10),emp)))))))))))))))))|~sQ9_spl),
% 0.23/0.77    inference(forward_demodulation,[status(thm)],[f19,f805])).
% 0.23/0.77  fof(f807,plain,(
% 0.23/0.77    heap(sep(lseg(x3,x11),sep(lseg(x3,x6),sep(lseg(x3,x8),sep(lseg(x11,x6),sep(lseg(x11,x8),sep(lseg(x12,x3),sep(lseg(x12,x6),sep(lseg(x3,x9),sep(lseg(x2,x12),sep(lseg(x5,x7),sep(lseg(x5,x2),sep(lseg(x5,x4),sep(lseg(x4,x9),sep(lseg(x4,x8),sep(lseg(x6,x2),sep(lseg(x9,x10),emp)))))))))))))))))|~sQ9_spl),
% 0.23/0.77    inference(forward_demodulation,[status(thm)],[f19,f806])).
% 0.23/0.77  fof(f808,plain,(
% 0.23/0.77    heap(sep(lseg(x3,x11),sep(lseg(x3,x6),sep(lseg(x3,x8),sep(lseg(x11,x6),sep(lseg(x11,x8),sep(lseg(x12,x3),sep(lseg(x3,x9),sep(lseg(x12,x6),sep(lseg(x2,x12),sep(lseg(x5,x7),sep(lseg(x5,x2),sep(lseg(x5,x4),sep(lseg(x4,x9),sep(lseg(x4,x8),sep(lseg(x6,x2),sep(lseg(x9,x10),emp)))))))))))))))))|~sQ9_spl),
% 0.23/0.77    inference(forward_demodulation,[status(thm)],[f19,f807])).
% 0.23/0.77  fof(f809,plain,(
% 0.23/0.77    heap(sep(lseg(x3,x11),sep(lseg(x3,x6),sep(lseg(x3,x8),sep(lseg(x11,x6),sep(lseg(x11,x8),sep(lseg(x3,x9),sep(lseg(x12,x3),sep(lseg(x12,x6),sep(lseg(x2,x12),sep(lseg(x5,x7),sep(lseg(x5,x2),sep(lseg(x5,x4),sep(lseg(x4,x9),sep(lseg(x4,x8),sep(lseg(x6,x2),sep(lseg(x9,x10),emp)))))))))))))))))|~sQ9_spl),
% 0.23/0.77    inference(forward_demodulation,[status(thm)],[f19,f808])).
% 0.23/0.77  fof(f810,plain,(
% 0.23/0.77    heap(sep(lseg(x3,x11),sep(lseg(x3,x6),sep(lseg(x3,x8),sep(lseg(x11,x6),sep(lseg(x3,x9),sep(lseg(x11,x8),sep(lseg(x12,x3),sep(lseg(x12,x6),sep(lseg(x2,x12),sep(lseg(x5,x7),sep(lseg(x5,x2),sep(lseg(x5,x4),sep(lseg(x4,x9),sep(lseg(x4,x8),sep(lseg(x6,x2),sep(lseg(x9,x10),emp)))))))))))))))))|~sQ9_spl),
% 0.23/0.77    inference(forward_demodulation,[status(thm)],[f19,f809])).
% 0.23/0.77  fof(f811,plain,(
% 0.23/0.77    heap(sep(lseg(x3,x11),sep(lseg(x3,x6),sep(lseg(x3,x8),sep(lseg(x3,x9),sep(lseg(x11,x6),sep(lseg(x11,x8),sep(lseg(x12,x3),sep(lseg(x12,x6),sep(lseg(x2,x12),sep(lseg(x5,x7),sep(lseg(x5,x2),sep(lseg(x5,x4),sep(lseg(x4,x9),sep(lseg(x4,x8),sep(lseg(x6,x2),sep(lseg(x9,x10),emp)))))))))))))))))|~sQ9_spl),
% 0.23/0.77    inference(forward_demodulation,[status(thm)],[f19,f810])).
% 0.23/0.77  fof(f812,plain,(
% 0.23/0.77    heap(sep(lseg(x3,x11),sep(lseg(x3,x6),sep(lseg(x3,x9),sep(lseg(x3,x8),sep(lseg(x11,x6),sep(lseg(x11,x8),sep(lseg(x12,x3),sep(lseg(x12,x6),sep(lseg(x2,x12),sep(lseg(x5,x7),sep(lseg(x5,x2),sep(lseg(x5,x4),sep(lseg(x4,x9),sep(lseg(x4,x8),sep(lseg(x6,x2),sep(lseg(x9,x10),emp)))))))))))))))))|~sQ9_spl),
% 0.23/0.77    inference(forward_demodulation,[status(thm)],[f19,f811])).
% 0.23/0.77  fof(f830,plain,(
% 0.23/0.77    heap(sep(lseg(x3,x11),sep(lseg(x3,x3),sep(lseg(x3,x9),sep(lseg(x3,x8),sep(lseg(x11,x6),sep(lseg(x11,x8),sep(lseg(x12,x3),sep(lseg(x12,x6),sep(lseg(x2,x12),sep(lseg(x5,x7),sep(lseg(x5,x2),sep(lseg(x5,x4),sep(lseg(x4,x9),sep(lseg(x4,x8),sep(lseg(x6,x2),sep(lseg(x9,x10),emp)))))))))))))))))|~sQ10_spl|~sQ9_spl),
% 0.23/0.77    inference(forward_demodulation,[status(thm)],[f775,f812])).
% 0.23/0.77  fof(f831,plain,(
% 0.23/0.77    heap(sep(lseg(x3,x3),sep(lseg(x3,x11),sep(lseg(x3,x9),sep(lseg(x3,x8),sep(lseg(x11,x6),sep(lseg(x11,x8),sep(lseg(x12,x3),sep(lseg(x12,x6),sep(lseg(x2,x12),sep(lseg(x5,x7),sep(lseg(x5,x2),sep(lseg(x5,x4),sep(lseg(x4,x9),sep(lseg(x4,x8),sep(lseg(x6,x2),sep(lseg(x9,x10),emp)))))))))))))))))|~sQ10_spl|~sQ9_spl),
% 0.23/0.77    inference(forward_demodulation,[status(thm)],[f19,f830])).
% 0.23/0.77  fof(f832,plain,(
% 0.23/0.77    heap(sep(lseg(x3,x11),sep(lseg(x3,x9),sep(lseg(x3,x8),sep(lseg(x11,x6),sep(lseg(x11,x8),sep(lseg(x12,x3),sep(lseg(x12,x6),sep(lseg(x2,x12),sep(lseg(x5,x7),sep(lseg(x5,x2),sep(lseg(x5,x4),sep(lseg(x4,x9),sep(lseg(x4,x8),sep(lseg(x6,x2),sep(lseg(x9,x10),emp))))))))))))))))|~sQ10_spl|~sQ9_spl),
% 0.23/0.77    inference(forward_demodulation,[status(thm)],[f20,f831])).
% 0.23/0.77  fof(f833,plain,(
% 0.23/0.77    heap(sep(lseg(x3,x11),sep(lseg(x3,x9),sep(lseg(x3,x8),sep(lseg(x11,x3),sep(lseg(x11,x8),sep(lseg(x12,x3),sep(lseg(x12,x6),sep(lseg(x2,x12),sep(lseg(x5,x7),sep(lseg(x5,x2),sep(lseg(x5,x4),sep(lseg(x4,x9),sep(lseg(x4,x8),sep(lseg(x6,x2),sep(lseg(x9,x10),emp))))))))))))))))|~sQ10_spl|~sQ9_spl),
% 0.23/0.77    inference(forward_demodulation,[status(thm)],[f775,f832])).
% 0.23/0.77  fof(f834,plain,(
% 0.23/0.77    heap(sep(lseg(x3,x11),sep(lseg(x3,x9),sep(lseg(x3,x8),sep(lseg(x11,x3),sep(lseg(x11,x8),sep(lseg(x12,x3),sep(lseg(x12,x3),sep(lseg(x2,x12),sep(lseg(x5,x7),sep(lseg(x5,x2),sep(lseg(x5,x4),sep(lseg(x4,x9),sep(lseg(x4,x8),sep(lseg(x6,x2),sep(lseg(x9,x10),emp))))))))))))))))|~sQ10_spl|~sQ9_spl),
% 0.23/0.77    inference(forward_demodulation,[status(thm)],[f775,f833])).
% 0.23/0.77  fof(f835,plain,(
% 0.23/0.77    heap(sep(lseg(x3,x11),sep(lseg(x3,x9),sep(lseg(x3,x8),sep(lseg(x11,x3),sep(lseg(x11,x8),sep(lseg(x12,x3),sep(lseg(x12,x3),sep(lseg(x2,x12),sep(lseg(x5,x7),sep(lseg(x5,x2),sep(lseg(x5,x4),sep(lseg(x4,x9),sep(lseg(x4,x8),sep(lseg(x3,x2),sep(lseg(x9,x10),emp))))))))))))))))|~sQ10_spl|~sQ9_spl),
% 0.23/0.77    inference(forward_demodulation,[status(thm)],[f775,f834])).
% 0.23/0.77  fof(f836,plain,(
% 0.23/0.77    heap(sep(lseg(x3,x11),sep(lseg(x3,x9),sep(lseg(x3,x8),sep(lseg(x11,x3),sep(lseg(x11,x8),sep(lseg(x12,x3),sep(lseg(x12,x3),sep(lseg(x2,x12),sep(lseg(x5,x7),sep(lseg(x5,x2),sep(lseg(x5,x4),sep(lseg(x4,x9),sep(lseg(x3,x2),sep(lseg(x4,x8),sep(lseg(x9,x10),emp))))))))))))))))|~sQ10_spl|~sQ9_spl),
% 0.23/0.77    inference(forward_demodulation,[status(thm)],[f19,f835])).
% 0.23/0.77  fof(f837,plain,(
% 0.23/0.77    heap(sep(lseg(x3,x11),sep(lseg(x3,x9),sep(lseg(x3,x8),sep(lseg(x11,x3),sep(lseg(x11,x8),sep(lseg(x12,x3),sep(lseg(x12,x3),sep(lseg(x2,x12),sep(lseg(x5,x7),sep(lseg(x5,x2),sep(lseg(x5,x4),sep(lseg(x3,x2),sep(lseg(x4,x9),sep(lseg(x4,x8),sep(lseg(x9,x10),emp))))))))))))))))|~sQ10_spl|~sQ9_spl),
% 0.23/0.77    inference(forward_demodulation,[status(thm)],[f19,f836])).
% 0.23/0.77  fof(f838,plain,(
% 0.23/0.77    heap(sep(lseg(x3,x11),sep(lseg(x3,x9),sep(lseg(x3,x8),sep(lseg(x11,x3),sep(lseg(x11,x8),sep(lseg(x12,x3),sep(lseg(x12,x3),sep(lseg(x2,x12),sep(lseg(x5,x7),sep(lseg(x5,x2),sep(lseg(x3,x2),sep(lseg(x5,x4),sep(lseg(x4,x9),sep(lseg(x4,x8),sep(lseg(x9,x10),emp))))))))))))))))|~sQ10_spl|~sQ9_spl),
% 0.23/0.77    inference(forward_demodulation,[status(thm)],[f19,f837])).
% 0.23/0.77  fof(f839,plain,(
% 0.23/0.77    heap(sep(lseg(x3,x11),sep(lseg(x3,x9),sep(lseg(x3,x8),sep(lseg(x11,x3),sep(lseg(x11,x8),sep(lseg(x12,x3),sep(lseg(x12,x3),sep(lseg(x2,x12),sep(lseg(x5,x7),sep(lseg(x3,x2),sep(lseg(x5,x2),sep(lseg(x5,x4),sep(lseg(x4,x9),sep(lseg(x4,x8),sep(lseg(x9,x10),emp))))))))))))))))|~sQ10_spl|~sQ9_spl),
% 0.23/0.77    inference(forward_demodulation,[status(thm)],[f19,f838])).
% 0.23/0.77  fof(f840,plain,(
% 0.23/0.77    heap(sep(lseg(x3,x11),sep(lseg(x3,x9),sep(lseg(x3,x8),sep(lseg(x11,x3),sep(lseg(x11,x8),sep(lseg(x12,x3),sep(lseg(x12,x3),sep(lseg(x2,x12),sep(lseg(x3,x2),sep(lseg(x5,x7),sep(lseg(x5,x2),sep(lseg(x5,x4),sep(lseg(x4,x9),sep(lseg(x4,x8),sep(lseg(x9,x10),emp))))))))))))))))|~sQ10_spl|~sQ9_spl),
% 0.23/0.77    inference(forward_demodulation,[status(thm)],[f19,f839])).
% 0.23/0.77  fof(f841,plain,(
% 0.23/0.77    heap(sep(lseg(x3,x11),sep(lseg(x3,x9),sep(lseg(x3,x8),sep(lseg(x11,x3),sep(lseg(x11,x8),sep(lseg(x12,x3),sep(lseg(x12,x3),sep(lseg(x3,x2),sep(lseg(x2,x12),sep(lseg(x5,x7),sep(lseg(x5,x2),sep(lseg(x5,x4),sep(lseg(x4,x9),sep(lseg(x4,x8),sep(lseg(x9,x10),emp))))))))))))))))|~sQ10_spl|~sQ9_spl),
% 0.23/0.77    inference(forward_demodulation,[status(thm)],[f19,f840])).
% 0.23/0.77  fof(f842,plain,(
% 0.23/0.77    heap(sep(lseg(x3,x11),sep(lseg(x3,x9),sep(lseg(x3,x8),sep(lseg(x11,x3),sep(lseg(x11,x8),sep(lseg(x12,x3),sep(lseg(x3,x2),sep(lseg(x12,x3),sep(lseg(x2,x12),sep(lseg(x5,x7),sep(lseg(x5,x2),sep(lseg(x5,x4),sep(lseg(x4,x9),sep(lseg(x4,x8),sep(lseg(x9,x10),emp))))))))))))))))|~sQ10_spl|~sQ9_spl),
% 0.23/0.77    inference(forward_demodulation,[status(thm)],[f19,f841])).
% 0.23/0.77  fof(f843,plain,(
% 0.23/0.77    heap(sep(lseg(x3,x11),sep(lseg(x3,x9),sep(lseg(x3,x8),sep(lseg(x11,x3),sep(lseg(x11,x8),sep(lseg(x3,x2),sep(lseg(x12,x3),sep(lseg(x12,x3),sep(lseg(x2,x12),sep(lseg(x5,x7),sep(lseg(x5,x2),sep(lseg(x5,x4),sep(lseg(x4,x9),sep(lseg(x4,x8),sep(lseg(x9,x10),emp))))))))))))))))|~sQ10_spl|~sQ9_spl),
% 0.23/0.77    inference(forward_demodulation,[status(thm)],[f19,f842])).
% 0.23/0.77  fof(f844,plain,(
% 0.23/0.77    heap(sep(lseg(x3,x11),sep(lseg(x3,x9),sep(lseg(x3,x8),sep(lseg(x11,x3),sep(lseg(x3,x2),sep(lseg(x11,x8),sep(lseg(x12,x3),sep(lseg(x12,x3),sep(lseg(x2,x12),sep(lseg(x5,x7),sep(lseg(x5,x2),sep(lseg(x5,x4),sep(lseg(x4,x9),sep(lseg(x4,x8),sep(lseg(x9,x10),emp))))))))))))))))|~sQ10_spl|~sQ9_spl),
% 0.23/0.77    inference(forward_demodulation,[status(thm)],[f19,f843])).
% 0.23/0.77  fof(f845,plain,(
% 0.23/0.77    heap(sep(lseg(x3,x11),sep(lseg(x3,x9),sep(lseg(x3,x8),sep(lseg(x3,x2),sep(lseg(x11,x3),sep(lseg(x11,x8),sep(lseg(x12,x3),sep(lseg(x12,x3),sep(lseg(x2,x12),sep(lseg(x5,x7),sep(lseg(x5,x2),sep(lseg(x5,x4),sep(lseg(x4,x9),sep(lseg(x4,x8),sep(lseg(x9,x10),emp))))))))))))))))|~sQ10_spl|~sQ9_spl),
% 0.23/0.77    inference(forward_demodulation,[status(thm)],[f19,f844])).
% 0.23/0.77  fof(f846,plain,(
% 0.23/0.77    heap(sep(lseg(x3,x11),sep(lseg(x3,x9),sep(lseg(x3,x2),sep(lseg(x3,x8),sep(lseg(x11,x3),sep(lseg(x11,x8),sep(lseg(x12,x3),sep(lseg(x12,x3),sep(lseg(x2,x12),sep(lseg(x5,x7),sep(lseg(x5,x2),sep(lseg(x5,x4),sep(lseg(x4,x9),sep(lseg(x4,x8),sep(lseg(x9,x10),emp))))))))))))))))|~sQ10_spl|~sQ9_spl),
% 0.23/0.77    inference(forward_demodulation,[status(thm)],[f19,f845])).
% 0.23/0.77  fof(f847,plain,(
% 0.23/0.77    heap(sep(lseg(x3,x11),sep(lseg(x3,x2),sep(lseg(x3,x9),sep(lseg(x3,x8),sep(lseg(x11,x3),sep(lseg(x11,x8),sep(lseg(x12,x3),sep(lseg(x12,x3),sep(lseg(x2,x12),sep(lseg(x5,x7),sep(lseg(x5,x2),sep(lseg(x5,x4),sep(lseg(x4,x9),sep(lseg(x4,x8),sep(lseg(x9,x10),emp))))))))))))))))|~sQ10_spl|~sQ9_spl),
% 0.23/0.77    inference(forward_demodulation,[status(thm)],[f19,f846])).
% 0.23/0.77  fof(f848,plain,(
% 0.23/0.77    x3=x11|x3=x2|~sQ10_spl|~sQ9_spl),
% 0.23/0.77    inference(resolution,[status(thm)],[f847,f28])).
% 0.23/0.77  fof(f855,definition,(
% 0.23/0.77    sQ13_spl <=> (x3=x2)),
% 0.23/0.77    introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition])).
% 0.23/0.77  fof(f856,plain,(
% 0.23/0.77    x3=x2|~sQ13_spl),
% 0.23/0.77    inference(component_clause,[status(thm)],[f855])).
% 0.23/0.77  fof(f858,plain,(
% 0.23/0.77    sQ8_spl|sQ13_spl|~sQ10_spl|~sQ9_spl),
% 0.23/0.77    inference(split_clause,[status(thm)],[f848,f767,f855,f774,f770])).
% 0.23/0.77  fof(f874,plain,(
% 0.23/0.77    heap(sep(lseg(x3,x11),sep(lseg(x3,x2),sep(lseg(x3,x9),sep(lseg(x3,x8),sep(lseg(x11,x3),sep(lseg(x11,x8),sep(lseg(x12,x3),sep(lseg(x12,x3),sep(lseg(x2,x12),sep(lseg(x5,x7),sep(lseg(x5,x3),sep(lseg(x5,x4),sep(lseg(x4,x9),sep(lseg(x4,x8),sep(lseg(x9,x10),emp))))))))))))))))|~sQ13_spl|~sQ10_spl|~sQ9_spl),
% 0.23/0.77    inference(backward_demodulation,[status(thm)],[f856,f847])).
% 0.23/0.77  fof(f877,plain,(
% 0.23/0.77    heap(sep(lseg(x3,x11),sep(lseg(x3,x3),sep(lseg(x3,x9),sep(lseg(x3,x8),sep(lseg(x11,x3),sep(lseg(x11,x8),sep(lseg(x12,x3),sep(lseg(x12,x3),sep(lseg(x2,x12),sep(lseg(x5,x7),sep(lseg(x5,x3),sep(lseg(x5,x4),sep(lseg(x4,x9),sep(lseg(x4,x8),sep(lseg(x9,x10),emp))))))))))))))))|~sQ13_spl|~sQ10_spl|~sQ9_spl),
% 0.23/0.77    inference(forward_demodulation,[status(thm)],[f856,f874])).
% 0.23/0.77  fof(f878,plain,(
% 0.23/0.77    heap(sep(lseg(x3,x3),sep(lseg(x3,x11),sep(lseg(x3,x9),sep(lseg(x3,x8),sep(lseg(x11,x3),sep(lseg(x11,x8),sep(lseg(x12,x3),sep(lseg(x12,x3),sep(lseg(x2,x12),sep(lseg(x5,x7),sep(lseg(x5,x3),sep(lseg(x5,x4),sep(lseg(x4,x9),sep(lseg(x4,x8),sep(lseg(x9,x10),emp))))))))))))))))|~sQ13_spl|~sQ10_spl|~sQ9_spl),
% 0.23/0.77    inference(forward_demodulation,[status(thm)],[f19,f877])).
% 0.23/0.77  fof(f879,plain,(
% 0.23/0.77    heap(sep(lseg(x3,x11),sep(lseg(x3,x9),sep(lseg(x3,x8),sep(lseg(x11,x3),sep(lseg(x11,x8),sep(lseg(x12,x3),sep(lseg(x12,x3),sep(lseg(x2,x12),sep(lseg(x5,x7),sep(lseg(x5,x3),sep(lseg(x5,x4),sep(lseg(x4,x9),sep(lseg(x4,x8),sep(lseg(x9,x10),emp)))))))))))))))|~sQ13_spl|~sQ10_spl|~sQ9_spl),
% 0.23/0.77    inference(forward_demodulation,[status(thm)],[f20,f878])).
% 0.23/0.77  fof(f880,plain,(
% 0.23/0.77    heap(sep(lseg(x3,x11),sep(lseg(x3,x9),sep(lseg(x3,x8),sep(lseg(x11,x3),sep(lseg(x11,x8),sep(lseg(x12,x3),sep(lseg(x12,x3),sep(lseg(x3,x12),sep(lseg(x5,x7),sep(lseg(x5,x3),sep(lseg(x5,x4),sep(lseg(x4,x9),sep(lseg(x4,x8),sep(lseg(x9,x10),emp)))))))))))))))|~sQ13_spl|~sQ10_spl|~sQ9_spl),
% 0.23/0.77    inference(forward_demodulation,[status(thm)],[f856,f879])).
% 0.23/0.77  fof(f881,plain,(
% 0.23/0.77    heap(sep(lseg(x3,x11),sep(lseg(x3,x9),sep(lseg(x3,x8),sep(lseg(x11,x3),sep(lseg(x11,x8),sep(lseg(x12,x3),sep(lseg(x3,x12),sep(lseg(x12,x3),sep(lseg(x5,x7),sep(lseg(x5,x3),sep(lseg(x5,x4),sep(lseg(x4,x9),sep(lseg(x4,x8),sep(lseg(x9,x10),emp)))))))))))))))|~sQ13_spl|~sQ10_spl|~sQ9_spl),
% 0.23/0.77    inference(forward_demodulation,[status(thm)],[f19,f880])).
% 0.23/0.77  fof(f882,plain,(
% 0.23/0.79    heap(sep(lseg(x3,x11),sep(lseg(x3,x9),sep(lseg(x3,x8),sep(lseg(x11,x3),sep(lseg(x11,x8),sep(lseg(x3,x12),sep(lseg(x12,x3),sep(lseg(x12,x3),sep(lseg(x5,x7),sep(lseg(x5,x3),sep(lseg(x5,x4),sep(lseg(x4,x9),sep(lseg(x4,x8),sep(lseg(x9,x10),emp)))))))))))))))|~sQ13_spl|~sQ10_spl|~sQ9_spl),
% 0.23/0.79    inference(forward_demodulation,[status(thm)],[f19,f881])).
% 0.23/0.79  fof(f883,plain,(
% 0.23/0.79    heap(sep(lseg(x3,x11),sep(lseg(x3,x9),sep(lseg(x3,x8),sep(lseg(x11,x3),sep(lseg(x3,x12),sep(lseg(x11,x8),sep(lseg(x12,x3),sep(lseg(x12,x3),sep(lseg(x5,x7),sep(lseg(x5,x3),sep(lseg(x5,x4),sep(lseg(x4,x9),sep(lseg(x4,x8),sep(lseg(x9,x10),emp)))))))))))))))|~sQ13_spl|~sQ10_spl|~sQ9_spl),
% 0.23/0.79    inference(forward_demodulation,[status(thm)],[f19,f882])).
% 0.23/0.79  fof(f884,plain,(
% 0.23/0.79    heap(sep(lseg(x3,x11),sep(lseg(x3,x9),sep(lseg(x3,x8),sep(lseg(x3,x12),sep(lseg(x11,x3),sep(lseg(x11,x8),sep(lseg(x12,x3),sep(lseg(x12,x3),sep(lseg(x5,x7),sep(lseg(x5,x3),sep(lseg(x5,x4),sep(lseg(x4,x9),sep(lseg(x4,x8),sep(lseg(x9,x10),emp)))))))))))))))|~sQ13_spl|~sQ10_spl|~sQ9_spl),
% 0.23/0.79    inference(forward_demodulation,[status(thm)],[f19,f883])).
% 0.23/0.79  fof(f885,plain,(
% 0.23/0.79    heap(sep(lseg(x3,x11),sep(lseg(x3,x9),sep(lseg(x3,x12),sep(lseg(x3,x8),sep(lseg(x11,x3),sep(lseg(x11,x8),sep(lseg(x12,x3),sep(lseg(x12,x3),sep(lseg(x5,x7),sep(lseg(x5,x3),sep(lseg(x5,x4),sep(lseg(x4,x9),sep(lseg(x4,x8),sep(lseg(x9,x10),emp)))))))))))))))|~sQ13_spl|~sQ10_spl|~sQ9_spl),
% 0.23/0.79    inference(forward_demodulation,[status(thm)],[f19,f884])).
% 0.23/0.79  fof(f886,plain,(
% 0.23/0.79    heap(sep(lseg(x3,x11),sep(lseg(x3,x12),sep(lseg(x3,x9),sep(lseg(x3,x8),sep(lseg(x11,x3),sep(lseg(x11,x8),sep(lseg(x12,x3),sep(lseg(x12,x3),sep(lseg(x5,x7),sep(lseg(x5,x3),sep(lseg(x5,x4),sep(lseg(x4,x9),sep(lseg(x4,x8),sep(lseg(x9,x10),emp)))))))))))))))|~sQ13_spl|~sQ10_spl|~sQ9_spl),
% 0.23/0.79    inference(forward_demodulation,[status(thm)],[f19,f885])).
% 0.23/0.79  fof(f887,plain,(
% 0.23/0.79    heap(sep(lseg(x3,x11),sep(lseg(x3,x12),sep(lseg(x3,x9),sep(lseg(x3,x8),sep(lseg(x11,x3),sep(lseg(x11,x8),sep(lseg(x12,x3),sep(lseg(x12,x3),sep(lseg(x5,x3),sep(lseg(x5,x7),sep(lseg(x5,x4),sep(lseg(x4,x9),sep(lseg(x4,x8),sep(lseg(x9,x10),emp)))))))))))))))|~sQ13_spl|~sQ10_spl|~sQ9_spl),
% 0.23/0.79    inference(forward_demodulation,[status(thm)],[f19,f886])).
% 0.23/0.79  fof(f888,plain,(
% 0.23/0.79    x3=x11|x3=x12|~sQ13_spl|~sQ10_spl|~sQ9_spl),
% 0.23/0.79    inference(resolution,[status(thm)],[f887,f28])).
% 0.23/0.79  fof(f895,definition,(
% 0.23/0.79    sQ17_spl <=> (x3=x12)),
% 0.23/0.79    introduced(definition,[new_symbols(definition,[sQ17_spl])],[split_symbol_definition])).
% 0.23/0.79  fof(f896,plain,(
% 0.23/0.79    x3=x12|~sQ17_spl),
% 0.23/0.79    inference(component_clause,[status(thm)],[f895])).
% 0.23/0.79  fof(f898,plain,(
% 0.23/0.79    sQ8_spl|sQ17_spl|~sQ13_spl|~sQ10_spl|~sQ9_spl),
% 0.23/0.79    inference(split_clause,[status(thm)],[f888,f767,f895,f855,f774,f770])).
% 0.23/0.79  fof(f908,plain,(
% 0.23/0.79    $false|~sQ17_spl),
% 0.23/0.79    inference(forward_subsumption_resolution,[status(thm)],[f896,f38])).
% 0.23/0.79  fof(f909,plain,(
% 0.23/0.79    ~sQ17_spl),
% 0.23/0.79    inference(contradiction_clause,[status(thm)],[f908])).
% 0.23/0.79  fof(f910,plain,(
% 0.23/0.79    $false),
% 0.23/0.79    inference(sat_refutation,[status(thm)],[f773,f777,f784,f858,f898,f909])).
% 0.23/0.79  % SZS output end CNFRefutation for theBenchmark.p
% 0.23/0.81  % Elapsed time: 0.328981 seconds
% 0.23/0.81  % CPU time: 2.173881 seconds
% 0.23/0.81  % Total memory used: 131.626 MB
% 0.23/0.81  % Net memory used: 130.575 MB
%------------------------------------------------------------------------------