↑ Up

Drodi---4.1.1.UNS-CRf.s

View TPTP
Problem
Process solution in
SystemOnTSTP
Download .tgz
%------------------------------------------------------------------------------
% File     : Drodi---4.1.1
% Problem  : SWW436-1 : TPTP v9.3.1. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p

% Computer : n011.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 03:07:51 PM UTC 2026

% Result   : Unsatisfiable 5.41s 1.24s
% Output   : CNFRefutation 5.41s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   90
%            Number of leaves      :   11
% Syntax   : Number of formulae    :  141 (  77 unt;   5 def)
%            Number of atoms       :  231 (  41 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :  167 (  77   ~;  85   |;   0   &)
%                                         (   5 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   2 avg)
%            Maximal term depth    :   18 (   3 avg)
%            Number of predicates  :    8 (   6 usr;   6 prp; 0-2 aty)
%            Number of functors    :   16 (  16 usr;  14 con; 0-2 aty)
%            Number of variables   :   48 (  48   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,axiom,
    ! [S,T,Sigma] : sep(S,sep(T,Sigma)) = sep(T,sep(S,Sigma)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f2,axiom,
    ! [X,Sigma] : sep(lseg(X,X),Sigma) = Sigma,
    file('/export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p') ).

fof(f15,hypothesis,
    x4 != x6,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f16,hypothesis,
    x4 != x7,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f20,hypothesis,
    heap(sep(lseg(x13,x2),sep(lseg(x4,x9),sep(lseg(x4,x13),sep(lseg(x1,x5),sep(lseg(x1,x6),sep(lseg(x8,x14),sep(lseg(x8,x15),sep(lseg(x8,x1),sep(lseg(x14,x8),sep(lseg(x15,x4),sep(lseg(x2,x15),sep(lseg(x2,x9),sep(lseg(x9,x7),sep(lseg(x9,x6),sep(lseg(x3,x10),sep(lseg(x6,x2),emp))))))))))))))))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f22,plain,
    ! [X0,X1,X2] : sep(X0,sep(X1,X2)) = sep(X1,sep(X0,X2)),
    inference(cnf_transformation,[status(thm)],[f1]) ).

fof(f23,plain,
    ! [X0,X1] : sep(lseg(X0,X0),X1) = X1,
    inference(cnf_transformation,[status(thm)],[f2]) ).

fof(f30,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(f31,plain,
    ! [X0,X1,X2,X3] :
      ( X0 = X2
      | X0 = X1
      | ~ heap(sep(lseg(X0,X1),sep(lseg(X0,X2),X3))) ),
    inference(cnf_transformation,[status(thm)],[f30]) ).

fof(f43,plain,
    x4 != x6,
    inference(cnf_transformation,[status(thm)],[f15]) ).

fof(f44,plain,
    x4 != x7,
    inference(cnf_transformation,[status(thm)],[f16]) ).

fof(f48,plain,
    heap(sep(lseg(x13,x2),sep(lseg(x4,x9),sep(lseg(x4,x13),sep(lseg(x1,x5),sep(lseg(x1,x6),sep(lseg(x8,x14),sep(lseg(x8,x15),sep(lseg(x8,x1),sep(lseg(x14,x8),sep(lseg(x15,x4),sep(lseg(x2,x15),sep(lseg(x2,x9),sep(lseg(x9,x7),sep(lseg(x9,x6),sep(lseg(x3,x10),sep(lseg(x6,x2),emp))))))))))))))))),
    inference(cnf_transformation,[status(thm)],[f20]) ).

fof(f57,plain,
    heap(sep(lseg(x4,x9),sep(lseg(x13,x2),sep(lseg(x4,x13),sep(lseg(x1,x5),sep(lseg(x1,x6),sep(lseg(x8,x14),sep(lseg(x8,x15),sep(lseg(x8,x1),sep(lseg(x14,x8),sep(lseg(x15,x4),sep(lseg(x2,x15),sep(lseg(x2,x9),sep(lseg(x9,x7),sep(lseg(x9,x6),sep(lseg(x3,x10),sep(lseg(x6,x2),emp))))))))))))))))),
    inference(forward_demodulation,[status(thm)],[f22,f48]) ).

fof(f58,plain,
    heap(sep(lseg(x4,x9),sep(lseg(x4,x13),sep(lseg(x13,x2),sep(lseg(x1,x5),sep(lseg(x1,x6),sep(lseg(x8,x14),sep(lseg(x8,x15),sep(lseg(x8,x1),sep(lseg(x14,x8),sep(lseg(x15,x4),sep(lseg(x2,x15),sep(lseg(x2,x9),sep(lseg(x9,x7),sep(lseg(x9,x6),sep(lseg(x3,x10),sep(lseg(x6,x2),emp))))))))))))))))),
    inference(forward_demodulation,[status(thm)],[f22,f57]) ).

fof(f59,plain,
    heap(sep(lseg(x4,x9),sep(lseg(x4,x13),sep(lseg(x1,x5),sep(lseg(x13,x2),sep(lseg(x1,x6),sep(lseg(x8,x14),sep(lseg(x8,x15),sep(lseg(x8,x1),sep(lseg(x14,x8),sep(lseg(x15,x4),sep(lseg(x2,x15),sep(lseg(x2,x9),sep(lseg(x9,x7),sep(lseg(x9,x6),sep(lseg(x3,x10),sep(lseg(x6,x2),emp))))))))))))))))),
    inference(forward_demodulation,[status(thm)],[f22,f58]) ).

fof(f60,plain,
    heap(sep(lseg(x4,x9),sep(lseg(x4,x13),sep(lseg(x1,x5),sep(lseg(x1,x6),sep(lseg(x13,x2),sep(lseg(x8,x14),sep(lseg(x8,x15),sep(lseg(x8,x1),sep(lseg(x14,x8),sep(lseg(x15,x4),sep(lseg(x2,x15),sep(lseg(x2,x9),sep(lseg(x9,x7),sep(lseg(x9,x6),sep(lseg(x3,x10),sep(lseg(x6,x2),emp))))))))))))))))),
    inference(forward_demodulation,[status(thm)],[f22,f59]) ).

fof(f61,plain,
    heap(sep(lseg(x4,x9),sep(lseg(x4,x13),sep(lseg(x1,x6),sep(lseg(x1,x5),sep(lseg(x13,x2),sep(lseg(x8,x14),sep(lseg(x8,x15),sep(lseg(x8,x1),sep(lseg(x14,x8),sep(lseg(x15,x4),sep(lseg(x2,x15),sep(lseg(x2,x9),sep(lseg(x9,x7),sep(lseg(x9,x6),sep(lseg(x3,x10),sep(lseg(x6,x2),emp))))))))))))))))),
    inference(forward_demodulation,[status(thm)],[f22,f60]) ).

fof(f62,plain,
    heap(sep(lseg(x4,x9),sep(lseg(x4,x13),sep(lseg(x1,x6),sep(lseg(x1,x5),sep(lseg(x8,x14),sep(lseg(x13,x2),sep(lseg(x8,x15),sep(lseg(x8,x1),sep(lseg(x14,x8),sep(lseg(x15,x4),sep(lseg(x2,x15),sep(lseg(x2,x9),sep(lseg(x9,x7),sep(lseg(x9,x6),sep(lseg(x3,x10),sep(lseg(x6,x2),emp))))))))))))))))),
    inference(forward_demodulation,[status(thm)],[f22,f61]) ).

fof(f63,plain,
    heap(sep(lseg(x4,x9),sep(lseg(x4,x13),sep(lseg(x1,x6),sep(lseg(x1,x5),sep(lseg(x8,x14),sep(lseg(x8,x15),sep(lseg(x13,x2),sep(lseg(x8,x1),sep(lseg(x14,x8),sep(lseg(x15,x4),sep(lseg(x2,x15),sep(lseg(x2,x9),sep(lseg(x9,x7),sep(lseg(x9,x6),sep(lseg(x3,x10),sep(lseg(x6,x2),emp))))))))))))))))),
    inference(forward_demodulation,[status(thm)],[f22,f62]) ).

fof(f64,plain,
    heap(sep(lseg(x4,x9),sep(lseg(x4,x13),sep(lseg(x1,x6),sep(lseg(x1,x5),sep(lseg(x8,x15),sep(lseg(x8,x14),sep(lseg(x13,x2),sep(lseg(x8,x1),sep(lseg(x14,x8),sep(lseg(x15,x4),sep(lseg(x2,x15),sep(lseg(x2,x9),sep(lseg(x9,x7),sep(lseg(x9,x6),sep(lseg(x3,x10),sep(lseg(x6,x2),emp))))))))))))))))),
    inference(forward_demodulation,[status(thm)],[f22,f63]) ).

fof(f65,plain,
    heap(sep(lseg(x4,x9),sep(lseg(x4,x13),sep(lseg(x1,x6),sep(lseg(x1,x5),sep(lseg(x8,x15),sep(lseg(x8,x14),sep(lseg(x8,x1),sep(lseg(x13,x2),sep(lseg(x14,x8),sep(lseg(x15,x4),sep(lseg(x2,x15),sep(lseg(x2,x9),sep(lseg(x9,x7),sep(lseg(x9,x6),sep(lseg(x3,x10),sep(lseg(x6,x2),emp))))))))))))))))),
    inference(forward_demodulation,[status(thm)],[f22,f64]) ).

fof(f66,plain,
    heap(sep(lseg(x4,x9),sep(lseg(x4,x13),sep(lseg(x1,x6),sep(lseg(x1,x5),sep(lseg(x8,x15),sep(lseg(x8,x1),sep(lseg(x8,x14),sep(lseg(x13,x2),sep(lseg(x14,x8),sep(lseg(x15,x4),sep(lseg(x2,x15),sep(lseg(x2,x9),sep(lseg(x9,x7),sep(lseg(x9,x6),sep(lseg(x3,x10),sep(lseg(x6,x2),emp))))))))))))))))),
    inference(forward_demodulation,[status(thm)],[f22,f65]) ).

fof(f67,plain,
    heap(sep(lseg(x4,x9),sep(lseg(x4,x13),sep(lseg(x1,x6),sep(lseg(x1,x5),sep(lseg(x8,x1),sep(lseg(x8,x15),sep(lseg(x8,x14),sep(lseg(x13,x2),sep(lseg(x14,x8),sep(lseg(x15,x4),sep(lseg(x2,x15),sep(lseg(x2,x9),sep(lseg(x9,x7),sep(lseg(x9,x6),sep(lseg(x3,x10),sep(lseg(x6,x2),emp))))))))))))))))),
    inference(forward_demodulation,[status(thm)],[f22,f66]) ).

fof(f68,plain,
    heap(sep(lseg(x4,x9),sep(lseg(x4,x13),sep(lseg(x1,x6),sep(lseg(x1,x5),sep(lseg(x8,x1),sep(lseg(x8,x15),sep(lseg(x8,x14),sep(lseg(x14,x8),sep(lseg(x13,x2),sep(lseg(x15,x4),sep(lseg(x2,x15),sep(lseg(x2,x9),sep(lseg(x9,x7),sep(lseg(x9,x6),sep(lseg(x3,x10),sep(lseg(x6,x2),emp))))))))))))))))),
    inference(forward_demodulation,[status(thm)],[f22,f67]) ).

fof(f69,plain,
    heap(sep(lseg(x4,x9),sep(lseg(x4,x13),sep(lseg(x1,x6),sep(lseg(x1,x5),sep(lseg(x8,x1),sep(lseg(x8,x15),sep(lseg(x8,x14),sep(lseg(x14,x8),sep(lseg(x15,x4),sep(lseg(x13,x2),sep(lseg(x2,x15),sep(lseg(x2,x9),sep(lseg(x9,x7),sep(lseg(x9,x6),sep(lseg(x3,x10),sep(lseg(x6,x2),emp))))))))))))))))),
    inference(forward_demodulation,[status(thm)],[f22,f68]) ).

fof(f70,plain,
    heap(sep(lseg(x4,x9),sep(lseg(x4,x13),sep(lseg(x1,x6),sep(lseg(x1,x5),sep(lseg(x8,x1),sep(lseg(x8,x15),sep(lseg(x8,x14),sep(lseg(x15,x4),sep(lseg(x14,x8),sep(lseg(x13,x2),sep(lseg(x2,x15),sep(lseg(x2,x9),sep(lseg(x9,x7),sep(lseg(x9,x6),sep(lseg(x3,x10),sep(lseg(x6,x2),emp))))))))))))))))),
    inference(forward_demodulation,[status(thm)],[f22,f69]) ).

fof(f71,plain,
    heap(sep(lseg(x4,x9),sep(lseg(x4,x13),sep(lseg(x1,x6),sep(lseg(x1,x5),sep(lseg(x8,x1),sep(lseg(x8,x15),sep(lseg(x15,x4),sep(lseg(x8,x14),sep(lseg(x14,x8),sep(lseg(x13,x2),sep(lseg(x2,x15),sep(lseg(x2,x9),sep(lseg(x9,x7),sep(lseg(x9,x6),sep(lseg(x3,x10),sep(lseg(x6,x2),emp))))))))))))))))),
    inference(forward_demodulation,[status(thm)],[f22,f70]) ).

fof(f72,plain,
    heap(sep(lseg(x4,x9),sep(lseg(x4,x13),sep(lseg(x1,x6),sep(lseg(x1,x5),sep(lseg(x8,x1),sep(lseg(x15,x4),sep(lseg(x8,x15),sep(lseg(x8,x14),sep(lseg(x14,x8),sep(lseg(x13,x2),sep(lseg(x2,x15),sep(lseg(x2,x9),sep(lseg(x9,x7),sep(lseg(x9,x6),sep(lseg(x3,x10),sep(lseg(x6,x2),emp))))))))))))))))),
    inference(forward_demodulation,[status(thm)],[f22,f71]) ).

fof(f73,plain,
    heap(sep(lseg(x4,x9),sep(lseg(x4,x13),sep(lseg(x1,x6),sep(lseg(x1,x5),sep(lseg(x15,x4),sep(lseg(x8,x1),sep(lseg(x8,x15),sep(lseg(x8,x14),sep(lseg(x14,x8),sep(lseg(x13,x2),sep(lseg(x2,x15),sep(lseg(x2,x9),sep(lseg(x9,x7),sep(lseg(x9,x6),sep(lseg(x3,x10),sep(lseg(x6,x2),emp))))))))))))))))),
    inference(forward_demodulation,[status(thm)],[f22,f72]) ).

fof(f74,plain,
    heap(sep(lseg(x4,x9),sep(lseg(x4,x13),sep(lseg(x1,x6),sep(lseg(x1,x5),sep(lseg(x15,x4),sep(lseg(x8,x1),sep(lseg(x8,x15),sep(lseg(x8,x14),sep(lseg(x14,x8),sep(lseg(x2,x15),sep(lseg(x13,x2),sep(lseg(x2,x9),sep(lseg(x9,x7),sep(lseg(x9,x6),sep(lseg(x3,x10),sep(lseg(x6,x2),emp))))))))))))))))),
    inference(forward_demodulation,[status(thm)],[f22,f73]) ).

fof(f75,plain,
    heap(sep(lseg(x4,x9),sep(lseg(x4,x13),sep(lseg(x1,x6),sep(lseg(x1,x5),sep(lseg(x15,x4),sep(lseg(x8,x1),sep(lseg(x8,x15),sep(lseg(x8,x14),sep(lseg(x2,x15),sep(lseg(x14,x8),sep(lseg(x13,x2),sep(lseg(x2,x9),sep(lseg(x9,x7),sep(lseg(x9,x6),sep(lseg(x3,x10),sep(lseg(x6,x2),emp))))))))))))))))),
    inference(forward_demodulation,[status(thm)],[f22,f74]) ).

fof(f76,plain,
    heap(sep(lseg(x4,x9),sep(lseg(x4,x13),sep(lseg(x1,x6),sep(lseg(x1,x5),sep(lseg(x15,x4),sep(lseg(x8,x1),sep(lseg(x8,x15),sep(lseg(x2,x15),sep(lseg(x8,x14),sep(lseg(x14,x8),sep(lseg(x13,x2),sep(lseg(x2,x9),sep(lseg(x9,x7),sep(lseg(x9,x6),sep(lseg(x3,x10),sep(lseg(x6,x2),emp))))))))))))))))),
    inference(forward_demodulation,[status(thm)],[f22,f75]) ).

fof(f77,plain,
    heap(sep(lseg(x4,x9),sep(lseg(x4,x13),sep(lseg(x1,x6),sep(lseg(x1,x5),sep(lseg(x15,x4),sep(lseg(x8,x1),sep(lseg(x2,x15),sep(lseg(x8,x15),sep(lseg(x8,x14),sep(lseg(x14,x8),sep(lseg(x13,x2),sep(lseg(x2,x9),sep(lseg(x9,x7),sep(lseg(x9,x6),sep(lseg(x3,x10),sep(lseg(x6,x2),emp))))))))))))))))),
    inference(forward_demodulation,[status(thm)],[f22,f76]) ).

fof(f78,plain,
    heap(sep(lseg(x4,x9),sep(lseg(x4,x13),sep(lseg(x1,x6),sep(lseg(x1,x5),sep(lseg(x15,x4),sep(lseg(x2,x15),sep(lseg(x8,x1),sep(lseg(x8,x15),sep(lseg(x8,x14),sep(lseg(x14,x8),sep(lseg(x13,x2),sep(lseg(x2,x9),sep(lseg(x9,x7),sep(lseg(x9,x6),sep(lseg(x3,x10),sep(lseg(x6,x2),emp))))))))))))))))),
    inference(forward_demodulation,[status(thm)],[f22,f77]) ).

fof(f79,plain,
    heap(sep(lseg(x4,x9),sep(lseg(x4,x13),sep(lseg(x1,x6),sep(lseg(x1,x5),sep(lseg(x15,x4),sep(lseg(x2,x15),sep(lseg(x8,x1),sep(lseg(x8,x15),sep(lseg(x8,x14),sep(lseg(x14,x8),sep(lseg(x2,x9),sep(lseg(x13,x2),sep(lseg(x9,x7),sep(lseg(x9,x6),sep(lseg(x3,x10),sep(lseg(x6,x2),emp))))))))))))))))),
    inference(forward_demodulation,[status(thm)],[f22,f78]) ).

fof(f80,plain,
    heap(sep(lseg(x4,x9),sep(lseg(x4,x13),sep(lseg(x1,x6),sep(lseg(x1,x5),sep(lseg(x15,x4),sep(lseg(x2,x15),sep(lseg(x8,x1),sep(lseg(x8,x15),sep(lseg(x8,x14),sep(lseg(x2,x9),sep(lseg(x14,x8),sep(lseg(x13,x2),sep(lseg(x9,x7),sep(lseg(x9,x6),sep(lseg(x3,x10),sep(lseg(x6,x2),emp))))))))))))))))),
    inference(forward_demodulation,[status(thm)],[f22,f79]) ).

fof(f81,plain,
    heap(sep(lseg(x4,x9),sep(lseg(x4,x13),sep(lseg(x1,x6),sep(lseg(x1,x5),sep(lseg(x15,x4),sep(lseg(x2,x15),sep(lseg(x8,x1),sep(lseg(x8,x15),sep(lseg(x2,x9),sep(lseg(x8,x14),sep(lseg(x14,x8),sep(lseg(x13,x2),sep(lseg(x9,x7),sep(lseg(x9,x6),sep(lseg(x3,x10),sep(lseg(x6,x2),emp))))))))))))))))),
    inference(forward_demodulation,[status(thm)],[f22,f80]) ).

fof(f82,plain,
    heap(sep(lseg(x4,x9),sep(lseg(x4,x13),sep(lseg(x1,x6),sep(lseg(x1,x5),sep(lseg(x15,x4),sep(lseg(x2,x15),sep(lseg(x8,x1),sep(lseg(x2,x9),sep(lseg(x8,x15),sep(lseg(x8,x14),sep(lseg(x14,x8),sep(lseg(x13,x2),sep(lseg(x9,x7),sep(lseg(x9,x6),sep(lseg(x3,x10),sep(lseg(x6,x2),emp))))))))))))))))),
    inference(forward_demodulation,[status(thm)],[f22,f81]) ).

fof(f83,plain,
    heap(sep(lseg(x4,x9),sep(lseg(x4,x13),sep(lseg(x1,x6),sep(lseg(x1,x5),sep(lseg(x15,x4),sep(lseg(x2,x15),sep(lseg(x2,x9),sep(lseg(x8,x1),sep(lseg(x8,x15),sep(lseg(x8,x14),sep(lseg(x14,x8),sep(lseg(x13,x2),sep(lseg(x9,x7),sep(lseg(x9,x6),sep(lseg(x3,x10),sep(lseg(x6,x2),emp))))))))))))))))),
    inference(forward_demodulation,[status(thm)],[f22,f82]) ).

fof(f84,plain,
    heap(sep(lseg(x4,x9),sep(lseg(x4,x13),sep(lseg(x1,x6),sep(lseg(x1,x5),sep(lseg(x15,x4),sep(lseg(x2,x15),sep(lseg(x2,x9),sep(lseg(x8,x1),sep(lseg(x8,x15),sep(lseg(x8,x14),sep(lseg(x14,x8),sep(lseg(x9,x7),sep(lseg(x13,x2),sep(lseg(x9,x6),sep(lseg(x3,x10),sep(lseg(x6,x2),emp))))))))))))))))),
    inference(forward_demodulation,[status(thm)],[f22,f83]) ).

fof(f85,plain,
    heap(sep(lseg(x4,x9),sep(lseg(x4,x13),sep(lseg(x1,x6),sep(lseg(x1,x5),sep(lseg(x15,x4),sep(lseg(x2,x15),sep(lseg(x2,x9),sep(lseg(x8,x1),sep(lseg(x8,x15),sep(lseg(x8,x14),sep(lseg(x9,x7),sep(lseg(x14,x8),sep(lseg(x13,x2),sep(lseg(x9,x6),sep(lseg(x3,x10),sep(lseg(x6,x2),emp))))))))))))))))),
    inference(forward_demodulation,[status(thm)],[f22,f84]) ).

fof(f86,plain,
    heap(sep(lseg(x4,x9),sep(lseg(x4,x13),sep(lseg(x1,x6),sep(lseg(x1,x5),sep(lseg(x15,x4),sep(lseg(x2,x15),sep(lseg(x2,x9),sep(lseg(x8,x1),sep(lseg(x8,x15),sep(lseg(x9,x7),sep(lseg(x8,x14),sep(lseg(x14,x8),sep(lseg(x13,x2),sep(lseg(x9,x6),sep(lseg(x3,x10),sep(lseg(x6,x2),emp))))))))))))))))),
    inference(forward_demodulation,[status(thm)],[f22,f85]) ).

fof(f87,plain,
    heap(sep(lseg(x4,x9),sep(lseg(x4,x13),sep(lseg(x1,x6),sep(lseg(x1,x5),sep(lseg(x15,x4),sep(lseg(x2,x15),sep(lseg(x2,x9),sep(lseg(x8,x1),sep(lseg(x9,x7),sep(lseg(x8,x15),sep(lseg(x8,x14),sep(lseg(x14,x8),sep(lseg(x13,x2),sep(lseg(x9,x6),sep(lseg(x3,x10),sep(lseg(x6,x2),emp))))))))))))))))),
    inference(forward_demodulation,[status(thm)],[f22,f86]) ).

fof(f88,plain,
    heap(sep(lseg(x4,x9),sep(lseg(x4,x13),sep(lseg(x1,x6),sep(lseg(x1,x5),sep(lseg(x15,x4),sep(lseg(x2,x15),sep(lseg(x2,x9),sep(lseg(x9,x7),sep(lseg(x8,x1),sep(lseg(x8,x15),sep(lseg(x8,x14),sep(lseg(x14,x8),sep(lseg(x13,x2),sep(lseg(x9,x6),sep(lseg(x3,x10),sep(lseg(x6,x2),emp))))))))))))))))),
    inference(forward_demodulation,[status(thm)],[f22,f87]) ).

fof(f89,plain,
    heap(sep(lseg(x4,x9),sep(lseg(x4,x13),sep(lseg(x1,x6),sep(lseg(x1,x5),sep(lseg(x15,x4),sep(lseg(x2,x15),sep(lseg(x2,x9),sep(lseg(x9,x7),sep(lseg(x8,x1),sep(lseg(x8,x15),sep(lseg(x8,x14),sep(lseg(x14,x8),sep(lseg(x9,x6),sep(lseg(x13,x2),sep(lseg(x3,x10),sep(lseg(x6,x2),emp))))))))))))))))),
    inference(forward_demodulation,[status(thm)],[f22,f88]) ).

fof(f90,plain,
    heap(sep(lseg(x4,x9),sep(lseg(x4,x13),sep(lseg(x1,x6),sep(lseg(x1,x5),sep(lseg(x15,x4),sep(lseg(x2,x15),sep(lseg(x2,x9),sep(lseg(x9,x7),sep(lseg(x8,x1),sep(lseg(x8,x15),sep(lseg(x8,x14),sep(lseg(x9,x6),sep(lseg(x14,x8),sep(lseg(x13,x2),sep(lseg(x3,x10),sep(lseg(x6,x2),emp))))))))))))))))),
    inference(forward_demodulation,[status(thm)],[f22,f89]) ).

fof(f91,plain,
    heap(sep(lseg(x4,x9),sep(lseg(x4,x13),sep(lseg(x1,x6),sep(lseg(x1,x5),sep(lseg(x15,x4),sep(lseg(x2,x15),sep(lseg(x2,x9),sep(lseg(x9,x7),sep(lseg(x8,x1),sep(lseg(x8,x15),sep(lseg(x9,x6),sep(lseg(x8,x14),sep(lseg(x14,x8),sep(lseg(x13,x2),sep(lseg(x3,x10),sep(lseg(x6,x2),emp))))))))))))))))),
    inference(forward_demodulation,[status(thm)],[f22,f90]) ).

fof(f92,plain,
    heap(sep(lseg(x4,x9),sep(lseg(x4,x13),sep(lseg(x1,x6),sep(lseg(x1,x5),sep(lseg(x15,x4),sep(lseg(x2,x15),sep(lseg(x2,x9),sep(lseg(x9,x7),sep(lseg(x8,x1),sep(lseg(x9,x6),sep(lseg(x8,x15),sep(lseg(x8,x14),sep(lseg(x14,x8),sep(lseg(x13,x2),sep(lseg(x3,x10),sep(lseg(x6,x2),emp))))))))))))))))),
    inference(forward_demodulation,[status(thm)],[f22,f91]) ).

fof(f93,plain,
    heap(sep(lseg(x4,x9),sep(lseg(x4,x13),sep(lseg(x1,x6),sep(lseg(x1,x5),sep(lseg(x15,x4),sep(lseg(x2,x15),sep(lseg(x2,x9),sep(lseg(x9,x7),sep(lseg(x9,x6),sep(lseg(x8,x1),sep(lseg(x8,x15),sep(lseg(x8,x14),sep(lseg(x14,x8),sep(lseg(x13,x2),sep(lseg(x3,x10),sep(lseg(x6,x2),emp))))))))))))))))),
    inference(forward_demodulation,[status(thm)],[f22,f92]) ).

fof(f94,plain,
    heap(sep(lseg(x4,x9),sep(lseg(x4,x13),sep(lseg(x1,x6),sep(lseg(x1,x5),sep(lseg(x15,x4),sep(lseg(x2,x15),sep(lseg(x2,x9),sep(lseg(x9,x6),sep(lseg(x9,x7),sep(lseg(x8,x1),sep(lseg(x8,x15),sep(lseg(x8,x14),sep(lseg(x14,x8),sep(lseg(x13,x2),sep(lseg(x3,x10),sep(lseg(x6,x2),emp))))))))))))))))),
    inference(forward_demodulation,[status(thm)],[f22,f93]) ).

fof(f95,plain,
    heap(sep(lseg(x4,x9),sep(lseg(x4,x13),sep(lseg(x1,x6),sep(lseg(x1,x5),sep(lseg(x15,x4),sep(lseg(x2,x15),sep(lseg(x2,x9),sep(lseg(x9,x6),sep(lseg(x9,x7),sep(lseg(x8,x1),sep(lseg(x8,x15),sep(lseg(x8,x14),sep(lseg(x14,x8),sep(lseg(x3,x10),sep(lseg(x13,x2),sep(lseg(x6,x2),emp))))))))))))))))),
    inference(forward_demodulation,[status(thm)],[f22,f94]) ).

fof(f96,plain,
    heap(sep(lseg(x4,x9),sep(lseg(x4,x13),sep(lseg(x1,x6),sep(lseg(x1,x5),sep(lseg(x15,x4),sep(lseg(x2,x15),sep(lseg(x2,x9),sep(lseg(x9,x6),sep(lseg(x9,x7),sep(lseg(x8,x1),sep(lseg(x8,x15),sep(lseg(x8,x14),sep(lseg(x3,x10),sep(lseg(x14,x8),sep(lseg(x13,x2),sep(lseg(x6,x2),emp))))))))))))))))),
    inference(forward_demodulation,[status(thm)],[f22,f95]) ).

fof(f97,plain,
    heap(sep(lseg(x4,x9),sep(lseg(x4,x13),sep(lseg(x1,x6),sep(lseg(x1,x5),sep(lseg(x15,x4),sep(lseg(x2,x15),sep(lseg(x2,x9),sep(lseg(x9,x6),sep(lseg(x9,x7),sep(lseg(x8,x1),sep(lseg(x8,x15),sep(lseg(x3,x10),sep(lseg(x8,x14),sep(lseg(x14,x8),sep(lseg(x13,x2),sep(lseg(x6,x2),emp))))))))))))))))),
    inference(forward_demodulation,[status(thm)],[f22,f96]) ).

fof(f98,plain,
    heap(sep(lseg(x4,x9),sep(lseg(x4,x13),sep(lseg(x1,x6),sep(lseg(x1,x5),sep(lseg(x15,x4),sep(lseg(x2,x15),sep(lseg(x2,x9),sep(lseg(x9,x6),sep(lseg(x9,x7),sep(lseg(x8,x1),sep(lseg(x3,x10),sep(lseg(x8,x15),sep(lseg(x8,x14),sep(lseg(x14,x8),sep(lseg(x13,x2),sep(lseg(x6,x2),emp))))))))))))))))),
    inference(forward_demodulation,[status(thm)],[f22,f97]) ).

fof(f99,plain,
    heap(sep(lseg(x4,x9),sep(lseg(x4,x13),sep(lseg(x1,x6),sep(lseg(x1,x5),sep(lseg(x15,x4),sep(lseg(x2,x15),sep(lseg(x2,x9),sep(lseg(x9,x6),sep(lseg(x9,x7),sep(lseg(x3,x10),sep(lseg(x8,x1),sep(lseg(x8,x15),sep(lseg(x8,x14),sep(lseg(x14,x8),sep(lseg(x13,x2),sep(lseg(x6,x2),emp))))))))))))))))),
    inference(forward_demodulation,[status(thm)],[f22,f98]) ).

fof(f100,plain,
    heap(sep(lseg(x4,x9),sep(lseg(x4,x13),sep(lseg(x1,x6),sep(lseg(x1,x5),sep(lseg(x15,x4),sep(lseg(x2,x15),sep(lseg(x2,x9),sep(lseg(x9,x6),sep(lseg(x3,x10),sep(lseg(x9,x7),sep(lseg(x8,x1),sep(lseg(x8,x15),sep(lseg(x8,x14),sep(lseg(x14,x8),sep(lseg(x13,x2),sep(lseg(x6,x2),emp))))))))))))))))),
    inference(forward_demodulation,[status(thm)],[f22,f99]) ).

fof(f101,plain,
    heap(sep(lseg(x4,x9),sep(lseg(x4,x13),sep(lseg(x1,x6),sep(lseg(x1,x5),sep(lseg(x15,x4),sep(lseg(x2,x15),sep(lseg(x2,x9),sep(lseg(x3,x10),sep(lseg(x9,x6),sep(lseg(x9,x7),sep(lseg(x8,x1),sep(lseg(x8,x15),sep(lseg(x8,x14),sep(lseg(x14,x8),sep(lseg(x13,x2),sep(lseg(x6,x2),emp))))))))))))))))),
    inference(forward_demodulation,[status(thm)],[f22,f100]) ).

fof(f102,plain,
    heap(sep(lseg(x4,x9),sep(lseg(x4,x13),sep(lseg(x1,x6),sep(lseg(x1,x5),sep(lseg(x15,x4),sep(lseg(x2,x15),sep(lseg(x3,x10),sep(lseg(x2,x9),sep(lseg(x9,x6),sep(lseg(x9,x7),sep(lseg(x8,x1),sep(lseg(x8,x15),sep(lseg(x8,x14),sep(lseg(x14,x8),sep(lseg(x13,x2),sep(lseg(x6,x2),emp))))))))))))))))),
    inference(forward_demodulation,[status(thm)],[f22,f101]) ).

fof(f103,plain,
    heap(sep(lseg(x4,x9),sep(lseg(x4,x13),sep(lseg(x1,x6),sep(lseg(x1,x5),sep(lseg(x15,x4),sep(lseg(x3,x10),sep(lseg(x2,x15),sep(lseg(x2,x9),sep(lseg(x9,x6),sep(lseg(x9,x7),sep(lseg(x8,x1),sep(lseg(x8,x15),sep(lseg(x8,x14),sep(lseg(x14,x8),sep(lseg(x13,x2),sep(lseg(x6,x2),emp))))))))))))))))),
    inference(forward_demodulation,[status(thm)],[f22,f102]) ).

fof(f104,plain,
    heap(sep(lseg(x4,x9),sep(lseg(x4,x13),sep(lseg(x1,x6),sep(lseg(x1,x5),sep(lseg(x3,x10),sep(lseg(x15,x4),sep(lseg(x2,x15),sep(lseg(x2,x9),sep(lseg(x9,x6),sep(lseg(x9,x7),sep(lseg(x8,x1),sep(lseg(x8,x15),sep(lseg(x8,x14),sep(lseg(x14,x8),sep(lseg(x13,x2),sep(lseg(x6,x2),emp))))))))))))))))),
    inference(forward_demodulation,[status(thm)],[f22,f103]) ).

fof(f105,plain,
    heap(sep(lseg(x4,x9),sep(lseg(x4,x13),sep(lseg(x1,x6),sep(lseg(x1,x5),sep(lseg(x3,x10),sep(lseg(x15,x4),sep(lseg(x2,x15),sep(lseg(x2,x9),sep(lseg(x9,x6),sep(lseg(x9,x7),sep(lseg(x8,x1),sep(lseg(x8,x15),sep(lseg(x8,x14),sep(lseg(x14,x8),sep(lseg(x6,x2),sep(lseg(x13,x2),emp))))))))))))))))),
    inference(forward_demodulation,[status(thm)],[f22,f104]) ).

fof(f106,plain,
    heap(sep(lseg(x4,x9),sep(lseg(x4,x13),sep(lseg(x1,x6),sep(lseg(x1,x5),sep(lseg(x3,x10),sep(lseg(x15,x4),sep(lseg(x2,x15),sep(lseg(x2,x9),sep(lseg(x9,x6),sep(lseg(x9,x7),sep(lseg(x8,x1),sep(lseg(x8,x15),sep(lseg(x8,x14),sep(lseg(x6,x2),sep(lseg(x14,x8),sep(lseg(x13,x2),emp))))))))))))))))),
    inference(forward_demodulation,[status(thm)],[f22,f105]) ).

fof(f107,plain,
    heap(sep(lseg(x4,x9),sep(lseg(x4,x13),sep(lseg(x1,x6),sep(lseg(x1,x5),sep(lseg(x3,x10),sep(lseg(x15,x4),sep(lseg(x2,x15),sep(lseg(x2,x9),sep(lseg(x9,x6),sep(lseg(x9,x7),sep(lseg(x8,x1),sep(lseg(x8,x15),sep(lseg(x6,x2),sep(lseg(x8,x14),sep(lseg(x14,x8),sep(lseg(x13,x2),emp))))))))))))))))),
    inference(forward_demodulation,[status(thm)],[f22,f106]) ).

fof(f108,plain,
    heap(sep(lseg(x4,x9),sep(lseg(x4,x13),sep(lseg(x1,x6),sep(lseg(x1,x5),sep(lseg(x3,x10),sep(lseg(x15,x4),sep(lseg(x2,x15),sep(lseg(x2,x9),sep(lseg(x9,x6),sep(lseg(x9,x7),sep(lseg(x8,x1),sep(lseg(x6,x2),sep(lseg(x8,x15),sep(lseg(x8,x14),sep(lseg(x14,x8),sep(lseg(x13,x2),emp))))))))))))))))),
    inference(forward_demodulation,[status(thm)],[f22,f107]) ).

fof(f109,plain,
    heap(sep(lseg(x4,x9),sep(lseg(x4,x13),sep(lseg(x1,x6),sep(lseg(x1,x5),sep(lseg(x3,x10),sep(lseg(x15,x4),sep(lseg(x2,x15),sep(lseg(x2,x9),sep(lseg(x9,x6),sep(lseg(x9,x7),sep(lseg(x6,x2),sep(lseg(x8,x1),sep(lseg(x8,x15),sep(lseg(x8,x14),sep(lseg(x14,x8),sep(lseg(x13,x2),emp))))))))))))))))),
    inference(forward_demodulation,[status(thm)],[f22,f108]) ).

fof(f110,plain,
    heap(sep(lseg(x4,x9),sep(lseg(x4,x13),sep(lseg(x1,x6),sep(lseg(x1,x5),sep(lseg(x3,x10),sep(lseg(x15,x4),sep(lseg(x2,x15),sep(lseg(x2,x9),sep(lseg(x9,x6),sep(lseg(x6,x2),sep(lseg(x9,x7),sep(lseg(x8,x1),sep(lseg(x8,x15),sep(lseg(x8,x14),sep(lseg(x14,x8),sep(lseg(x13,x2),emp))))))))))))))))),
    inference(forward_demodulation,[status(thm)],[f22,f109]) ).

fof(f111,plain,
    heap(sep(lseg(x4,x9),sep(lseg(x4,x13),sep(lseg(x1,x6),sep(lseg(x1,x5),sep(lseg(x3,x10),sep(lseg(x15,x4),sep(lseg(x2,x15),sep(lseg(x2,x9),sep(lseg(x6,x2),sep(lseg(x9,x6),sep(lseg(x9,x7),sep(lseg(x8,x1),sep(lseg(x8,x15),sep(lseg(x8,x14),sep(lseg(x14,x8),sep(lseg(x13,x2),emp))))))))))))))))),
    inference(forward_demodulation,[status(thm)],[f22,f110]) ).

fof(f112,plain,
    heap(sep(lseg(x4,x9),sep(lseg(x4,x13),sep(lseg(x1,x6),sep(lseg(x1,x5),sep(lseg(x3,x10),sep(lseg(x15,x4),sep(lseg(x2,x15),sep(lseg(x6,x2),sep(lseg(x2,x9),sep(lseg(x9,x6),sep(lseg(x9,x7),sep(lseg(x8,x1),sep(lseg(x8,x15),sep(lseg(x8,x14),sep(lseg(x14,x8),sep(lseg(x13,x2),emp))))))))))))))))),
    inference(forward_demodulation,[status(thm)],[f22,f111]) ).

fof(f113,plain,
    heap(sep(lseg(x4,x9),sep(lseg(x4,x13),sep(lseg(x1,x6),sep(lseg(x1,x5),sep(lseg(x3,x10),sep(lseg(x15,x4),sep(lseg(x6,x2),sep(lseg(x2,x15),sep(lseg(x2,x9),sep(lseg(x9,x6),sep(lseg(x9,x7),sep(lseg(x8,x1),sep(lseg(x8,x15),sep(lseg(x8,x14),sep(lseg(x14,x8),sep(lseg(x13,x2),emp))))))))))))))))),
    inference(forward_demodulation,[status(thm)],[f22,f112]) ).

fof(f114,plain,
    heap(sep(lseg(x4,x9),sep(lseg(x4,x13),sep(lseg(x1,x6),sep(lseg(x1,x5),sep(lseg(x3,x10),sep(lseg(x6,x2),sep(lseg(x15,x4),sep(lseg(x2,x15),sep(lseg(x2,x9),sep(lseg(x9,x6),sep(lseg(x9,x7),sep(lseg(x8,x1),sep(lseg(x8,x15),sep(lseg(x8,x14),sep(lseg(x14,x8),sep(lseg(x13,x2),emp))))))))))))))))),
    inference(forward_demodulation,[status(thm)],[f22,f113]) ).

fof(f115,plain,
    heap(sep(lseg(x4,x9),sep(lseg(x4,x13),sep(lseg(x1,x6),sep(lseg(x1,x5),sep(lseg(x6,x2),sep(lseg(x3,x10),sep(lseg(x15,x4),sep(lseg(x2,x15),sep(lseg(x2,x9),sep(lseg(x9,x6),sep(lseg(x9,x7),sep(lseg(x8,x1),sep(lseg(x8,x15),sep(lseg(x8,x14),sep(lseg(x14,x8),sep(lseg(x13,x2),emp))))))))))))))))),
    inference(forward_demodulation,[status(thm)],[f22,f114]) ).

fof(f116,plain,
    heap(sep(lseg(x4,x9),sep(lseg(x4,x13),sep(lseg(x1,x6),sep(lseg(x6,x2),sep(lseg(x1,x5),sep(lseg(x3,x10),sep(lseg(x15,x4),sep(lseg(x2,x15),sep(lseg(x2,x9),sep(lseg(x9,x6),sep(lseg(x9,x7),sep(lseg(x8,x1),sep(lseg(x8,x15),sep(lseg(x8,x14),sep(lseg(x14,x8),sep(lseg(x13,x2),emp))))))))))))))))),
    inference(forward_demodulation,[status(thm)],[f22,f115]) ).

fof(f117,plain,
    heap(sep(lseg(x4,x9),sep(lseg(x4,x13),sep(lseg(x6,x2),sep(lseg(x1,x6),sep(lseg(x1,x5),sep(lseg(x3,x10),sep(lseg(x15,x4),sep(lseg(x2,x15),sep(lseg(x2,x9),sep(lseg(x9,x6),sep(lseg(x9,x7),sep(lseg(x8,x1),sep(lseg(x8,x15),sep(lseg(x8,x14),sep(lseg(x14,x8),sep(lseg(x13,x2),emp))))))))))))))))),
    inference(forward_demodulation,[status(thm)],[f22,f116]) ).

fof(f118,plain,
    heap(sep(lseg(x4,x9),sep(lseg(x6,x2),sep(lseg(x4,x13),sep(lseg(x1,x6),sep(lseg(x1,x5),sep(lseg(x3,x10),sep(lseg(x15,x4),sep(lseg(x2,x15),sep(lseg(x2,x9),sep(lseg(x9,x6),sep(lseg(x9,x7),sep(lseg(x8,x1),sep(lseg(x8,x15),sep(lseg(x8,x14),sep(lseg(x14,x8),sep(lseg(x13,x2),emp))))))))))))))))),
    inference(forward_demodulation,[status(thm)],[f22,f117]) ).

fof(f119,plain,
    heap(sep(lseg(x6,x2),sep(lseg(x4,x9),sep(lseg(x4,x13),sep(lseg(x1,x6),sep(lseg(x1,x5),sep(lseg(x3,x10),sep(lseg(x15,x4),sep(lseg(x2,x15),sep(lseg(x2,x9),sep(lseg(x9,x6),sep(lseg(x9,x7),sep(lseg(x8,x1),sep(lseg(x8,x15),sep(lseg(x8,x14),sep(lseg(x14,x8),sep(lseg(x13,x2),emp))))))))))))))))),
    inference(forward_demodulation,[status(thm)],[f22,f118]) ).

fof(f123,plain,
    ! [X0,X1,X2,X3] : sep(X0,sep(X1,sep(X2,X3))) = sep(X2,sep(X0,sep(X1,X3))),
    inference(paramodulation,[status(thm)],[f22,f22]) ).

fof(f132,plain,
    ! [X0,X1,X2,X3,X4] :
      ( X0 = X3
      | X0 = X1
      | ~ heap(sep(lseg(X0,X1),sep(X2,sep(lseg(X0,X3),X4)))) ),
    inference(paramodulation,[status(thm)],[f22,f31]) ).

fof(f138,plain,
    ! [X0,X1,X2,X3,X4] :
      ( X1 = X3
      | X1 = X2
      | ~ heap(sep(X0,sep(lseg(X1,X2),sep(lseg(X1,X3),X4)))) ),
    inference(paramodulation,[status(thm)],[f22,f132]) ).

fof(f149,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( X1 = X4
      | X1 = X2
      | ~ heap(sep(X0,sep(lseg(X1,X2),sep(X3,sep(lseg(X1,X4),X5))))) ),
    inference(paramodulation,[status(thm)],[f22,f138]) ).

fof(f468,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( X2 = X4
      | X2 = X3
      | ~ heap(sep(X0,sep(X1,sep(lseg(X2,X3),sep(lseg(X2,X4),X5))))) ),
    inference(paramodulation,[status(thm)],[f22,f149]) ).

fof(f657,plain,
    ( x4 = x13
    | x4 = x9 ),
    inference(resolution,[status(thm)],[f119,f138]) ).

fof(f658,definition,
    ( sQ9_spl
  <=> x4 = x9 ),
    introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition]) ).

fof(f659,plain,
    ( ~ sQ9_spl
    | x4 = x9 ),
    inference(component_clause,[status(thm)],[f658]) ).

fof(f661,definition,
    ( sQ10_spl
  <=> x4 = x13 ),
    introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition]) ).

fof(f662,plain,
    ( ~ sQ10_spl
    | x4 = x13 ),
    inference(component_clause,[status(thm)],[f661]) ).

fof(f664,plain,
    ( sQ10_spl
    | sQ9_spl ),
    inference(split_clause,[status(thm)],[f657,f658,f661]) ).

fof(f665,plain,
    ( ~ sQ9_spl
    | heap(sep(lseg(x6,x2),sep(lseg(x4,x9),sep(lseg(x4,x13),sep(lseg(x1,x6),sep(lseg(x1,x5),sep(lseg(x3,x10),sep(lseg(x15,x4),sep(lseg(x2,x15),sep(lseg(x2,x9),sep(lseg(x9,x6),sep(lseg(x4,x7),sep(lseg(x8,x1),sep(lseg(x8,x15),sep(lseg(x8,x14),sep(lseg(x14,x8),sep(lseg(x13,x2),emp))))))))))))))))) ),
    inference(backward_demodulation,[status(thm)],[f659,f119]) ).

fof(f666,plain,
    ( ~ sQ9_spl
    | heap(sep(lseg(x6,x2),sep(lseg(x4,x4),sep(lseg(x4,x13),sep(lseg(x1,x6),sep(lseg(x1,x5),sep(lseg(x3,x10),sep(lseg(x15,x4),sep(lseg(x2,x15),sep(lseg(x2,x9),sep(lseg(x9,x6),sep(lseg(x4,x7),sep(lseg(x8,x1),sep(lseg(x8,x15),sep(lseg(x8,x14),sep(lseg(x14,x8),sep(lseg(x13,x2),emp))))))))))))))))) ),
    inference(forward_demodulation,[status(thm)],[f659,f665]) ).

fof(f667,plain,
    ( ~ sQ9_spl
    | heap(sep(lseg(x6,x2),sep(lseg(x4,x13),sep(lseg(x1,x6),sep(lseg(x1,x5),sep(lseg(x3,x10),sep(lseg(x15,x4),sep(lseg(x2,x15),sep(lseg(x2,x9),sep(lseg(x9,x6),sep(lseg(x4,x7),sep(lseg(x8,x1),sep(lseg(x8,x15),sep(lseg(x8,x14),sep(lseg(x14,x8),sep(lseg(x13,x2),emp)))))))))))))))) ),
    inference(forward_demodulation,[status(thm)],[f23,f666]) ).

fof(f668,plain,
    ( ~ sQ9_spl
    | heap(sep(lseg(x6,x2),sep(lseg(x4,x13),sep(lseg(x1,x6),sep(lseg(x1,x5),sep(lseg(x3,x10),sep(lseg(x15,x4),sep(lseg(x2,x15),sep(lseg(x4,x7),sep(lseg(x2,x9),sep(lseg(x9,x6),sep(lseg(x8,x1),sep(lseg(x8,x15),sep(lseg(x8,x14),sep(lseg(x14,x8),sep(lseg(x13,x2),emp)))))))))))))))) ),
    inference(forward_demodulation,[status(thm)],[f123,f667]) ).

fof(f669,plain,
    ( ~ sQ9_spl
    | heap(sep(lseg(x6,x2),sep(lseg(x4,x13),sep(lseg(x1,x6),sep(lseg(x1,x5),sep(lseg(x3,x10),sep(lseg(x4,x7),sep(lseg(x15,x4),sep(lseg(x2,x15),sep(lseg(x2,x9),sep(lseg(x9,x6),sep(lseg(x8,x1),sep(lseg(x8,x15),sep(lseg(x8,x14),sep(lseg(x14,x8),sep(lseg(x13,x2),emp)))))))))))))))) ),
    inference(forward_demodulation,[status(thm)],[f123,f668]) ).

fof(f670,plain,
    ( ~ sQ9_spl
    | heap(sep(lseg(x6,x2),sep(lseg(x4,x13),sep(lseg(x1,x6),sep(lseg(x4,x7),sep(lseg(x1,x5),sep(lseg(x3,x10),sep(lseg(x15,x4),sep(lseg(x2,x15),sep(lseg(x2,x9),sep(lseg(x9,x6),sep(lseg(x8,x1),sep(lseg(x8,x15),sep(lseg(x8,x14),sep(lseg(x14,x8),sep(lseg(x13,x2),emp)))))))))))))))) ),
    inference(forward_demodulation,[status(thm)],[f123,f669]) ).

fof(f671,plain,
    ( ~ sQ9_spl
    | heap(sep(lseg(x6,x2),sep(lseg(x4,x13),sep(lseg(x4,x7),sep(lseg(x1,x6),sep(lseg(x1,x5),sep(lseg(x3,x10),sep(lseg(x15,x4),sep(lseg(x2,x15),sep(lseg(x2,x9),sep(lseg(x9,x6),sep(lseg(x8,x1),sep(lseg(x8,x15),sep(lseg(x8,x14),sep(lseg(x14,x8),sep(lseg(x13,x2),emp)))))))))))))))) ),
    inference(forward_demodulation,[status(thm)],[f22,f670]) ).

fof(f672,plain,
    ( ~ sQ9_spl
    | heap(sep(lseg(x6,x2),sep(lseg(x4,x13),sep(lseg(x4,x7),sep(lseg(x1,x6),sep(lseg(x1,x5),sep(lseg(x3,x10),sep(lseg(x15,x4),sep(lseg(x2,x15),sep(lseg(x2,x4),sep(lseg(x9,x6),sep(lseg(x8,x1),sep(lseg(x8,x15),sep(lseg(x8,x14),sep(lseg(x14,x8),sep(lseg(x13,x2),emp)))))))))))))))) ),
    inference(forward_demodulation,[status(thm)],[f659,f671]) ).

fof(f673,plain,
    ( ~ sQ9_spl
    | heap(sep(lseg(x6,x2),sep(lseg(x4,x13),sep(lseg(x4,x7),sep(lseg(x1,x6),sep(lseg(x1,x5),sep(lseg(x3,x10),sep(lseg(x15,x4),sep(lseg(x2,x4),sep(lseg(x2,x15),sep(lseg(x9,x6),sep(lseg(x8,x1),sep(lseg(x8,x15),sep(lseg(x8,x14),sep(lseg(x14,x8),sep(lseg(x13,x2),emp)))))))))))))))) ),
    inference(forward_demodulation,[status(thm)],[f22,f672]) ).

fof(f674,plain,
    ( ~ sQ9_spl
    | heap(sep(lseg(x6,x2),sep(lseg(x4,x13),sep(lseg(x4,x7),sep(lseg(x1,x6),sep(lseg(x1,x5),sep(lseg(x3,x10),sep(lseg(x15,x4),sep(lseg(x2,x4),sep(lseg(x2,x15),sep(lseg(x4,x6),sep(lseg(x8,x1),sep(lseg(x8,x15),sep(lseg(x8,x14),sep(lseg(x14,x8),sep(lseg(x13,x2),emp)))))))))))))))) ),
    inference(forward_demodulation,[status(thm)],[f659,f673]) ).

fof(f675,plain,
    ( ~ sQ9_spl
    | heap(sep(lseg(x6,x2),sep(lseg(x4,x13),sep(lseg(x4,x7),sep(lseg(x1,x6),sep(lseg(x1,x5),sep(lseg(x3,x10),sep(lseg(x15,x4),sep(lseg(x4,x6),sep(lseg(x2,x4),sep(lseg(x2,x15),sep(lseg(x8,x1),sep(lseg(x8,x15),sep(lseg(x8,x14),sep(lseg(x14,x8),sep(lseg(x13,x2),emp)))))))))))))))) ),
    inference(forward_demodulation,[status(thm)],[f123,f674]) ).

fof(f676,plain,
    ( ~ sQ9_spl
    | heap(sep(lseg(x6,x2),sep(lseg(x4,x13),sep(lseg(x4,x7),sep(lseg(x1,x6),sep(lseg(x1,x5),sep(lseg(x4,x6),sep(lseg(x3,x10),sep(lseg(x15,x4),sep(lseg(x2,x4),sep(lseg(x2,x15),sep(lseg(x8,x1),sep(lseg(x8,x15),sep(lseg(x8,x14),sep(lseg(x14,x8),sep(lseg(x13,x2),emp)))))))))))))))) ),
    inference(forward_demodulation,[status(thm)],[f123,f675]) ).

fof(f677,plain,
    ( ~ sQ9_spl
    | heap(sep(lseg(x6,x2),sep(lseg(x4,x13),sep(lseg(x4,x7),sep(lseg(x4,x6),sep(lseg(x1,x6),sep(lseg(x1,x5),sep(lseg(x3,x10),sep(lseg(x15,x4),sep(lseg(x2,x4),sep(lseg(x2,x15),sep(lseg(x8,x1),sep(lseg(x8,x15),sep(lseg(x8,x14),sep(lseg(x14,x8),sep(lseg(x13,x2),emp)))))))))))))))) ),
    inference(forward_demodulation,[status(thm)],[f123,f676]) ).

fof(f678,plain,
    ( ~ sQ9_spl
    | heap(sep(lseg(x6,x2),sep(lseg(x4,x6),sep(lseg(x4,x13),sep(lseg(x4,x7),sep(lseg(x1,x6),sep(lseg(x1,x5),sep(lseg(x3,x10),sep(lseg(x15,x4),sep(lseg(x2,x4),sep(lseg(x2,x15),sep(lseg(x8,x1),sep(lseg(x8,x15),sep(lseg(x8,x14),sep(lseg(x14,x8),sep(lseg(x13,x2),emp)))))))))))))))) ),
    inference(forward_demodulation,[status(thm)],[f123,f677]) ).

fof(f680,plain,
    ( ~ sQ9_spl
    | x4 = x7
    | x4 = x6 ),
    inference(resolution,[status(thm)],[f678,f149]) ).

fof(f682,definition,
    ( sQ11_spl
  <=> x4 = x6 ),
    introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition]) ).

fof(f683,plain,
    ( ~ sQ11_spl
    | x4 = x6 ),
    inference(component_clause,[status(thm)],[f682]) ).

fof(f686,definition,
    ( sQ12_spl
  <=> x4 = x7 ),
    introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition]) ).

fof(f687,plain,
    ( ~ sQ12_spl
    | x4 = x7 ),
    inference(component_clause,[status(thm)],[f686]) ).

fof(f689,plain,
    ( ~ sQ9_spl
    | sQ12_spl
    | sQ11_spl ),
    inference(split_clause,[status(thm)],[f680,f682,f686,f658]) ).

fof(f692,plain,
    ( ~ sQ12_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f687,f44]) ).

fof(f693,plain,
    ~ sQ12_spl,
    inference(contradiction_clause,[status(thm)],[f692]) ).

fof(f694,plain,
    ( ~ sQ10_spl
    | heap(sep(lseg(x6,x2),sep(lseg(x4,x9),sep(lseg(x4,x4),sep(lseg(x1,x6),sep(lseg(x1,x5),sep(lseg(x3,x10),sep(lseg(x15,x4),sep(lseg(x2,x15),sep(lseg(x2,x9),sep(lseg(x9,x6),sep(lseg(x9,x7),sep(lseg(x8,x1),sep(lseg(x8,x15),sep(lseg(x8,x14),sep(lseg(x14,x8),sep(lseg(x13,x2),emp))))))))))))))))) ),
    inference(forward_demodulation,[status(thm)],[f662,f119]) ).

fof(f695,plain,
    ( ~ sQ10_spl
    | heap(sep(lseg(x6,x2),sep(lseg(x4,x4),sep(lseg(x4,x9),sep(lseg(x1,x6),sep(lseg(x1,x5),sep(lseg(x3,x10),sep(lseg(x15,x4),sep(lseg(x2,x15),sep(lseg(x2,x9),sep(lseg(x9,x6),sep(lseg(x9,x7),sep(lseg(x8,x1),sep(lseg(x8,x15),sep(lseg(x8,x14),sep(lseg(x14,x8),sep(lseg(x13,x2),emp))))))))))))))))) ),
    inference(forward_demodulation,[status(thm)],[f22,f694]) ).

fof(f696,plain,
    ( ~ sQ10_spl
    | heap(sep(lseg(x6,x2),sep(lseg(x4,x9),sep(lseg(x1,x6),sep(lseg(x1,x5),sep(lseg(x3,x10),sep(lseg(x15,x4),sep(lseg(x2,x15),sep(lseg(x2,x9),sep(lseg(x9,x6),sep(lseg(x9,x7),sep(lseg(x8,x1),sep(lseg(x8,x15),sep(lseg(x8,x14),sep(lseg(x14,x8),sep(lseg(x13,x2),emp)))))))))))))))) ),
    inference(forward_demodulation,[status(thm)],[f23,f695]) ).

fof(f697,plain,
    ( ~ sQ10_spl
    | heap(sep(lseg(x6,x2),sep(lseg(x4,x9),sep(lseg(x1,x6),sep(lseg(x1,x5),sep(lseg(x3,x10),sep(lseg(x15,x4),sep(lseg(x2,x15),sep(lseg(x2,x9),sep(lseg(x9,x6),sep(lseg(x9,x7),sep(lseg(x8,x1),sep(lseg(x8,x15),sep(lseg(x8,x14),sep(lseg(x14,x8),sep(lseg(x4,x2),emp)))))))))))))))) ),
    inference(forward_demodulation,[status(thm)],[f662,f696]) ).

fof(f698,plain,
    ( ~ sQ10_spl
    | heap(sep(lseg(x6,x2),sep(lseg(x4,x9),sep(lseg(x1,x6),sep(lseg(x1,x5),sep(lseg(x3,x10),sep(lseg(x15,x4),sep(lseg(x2,x15),sep(lseg(x2,x9),sep(lseg(x9,x6),sep(lseg(x9,x7),sep(lseg(x8,x1),sep(lseg(x8,x15),sep(lseg(x4,x2),sep(lseg(x8,x14),sep(lseg(x14,x8),emp)))))))))))))))) ),
    inference(forward_demodulation,[status(thm)],[f123,f697]) ).

fof(f699,plain,
    ( ~ sQ10_spl
    | heap(sep(lseg(x6,x2),sep(lseg(x4,x9),sep(lseg(x1,x6),sep(lseg(x1,x5),sep(lseg(x3,x10),sep(lseg(x15,x4),sep(lseg(x2,x15),sep(lseg(x2,x9),sep(lseg(x9,x6),sep(lseg(x9,x7),sep(lseg(x4,x2),sep(lseg(x8,x1),sep(lseg(x8,x15),sep(lseg(x8,x14),sep(lseg(x14,x8),emp)))))))))))))))) ),
    inference(forward_demodulation,[status(thm)],[f123,f698]) ).

fof(f700,plain,
    ( ~ sQ10_spl
    | heap(sep(lseg(x6,x2),sep(lseg(x4,x9),sep(lseg(x1,x6),sep(lseg(x1,x5),sep(lseg(x3,x10),sep(lseg(x15,x4),sep(lseg(x2,x15),sep(lseg(x2,x9),sep(lseg(x4,x2),sep(lseg(x9,x6),sep(lseg(x9,x7),sep(lseg(x8,x1),sep(lseg(x8,x15),sep(lseg(x8,x14),sep(lseg(x14,x8),emp)))))))))))))))) ),
    inference(forward_demodulation,[status(thm)],[f123,f699]) ).

fof(f701,plain,
    ( ~ sQ10_spl
    | heap(sep(lseg(x6,x2),sep(lseg(x4,x9),sep(lseg(x1,x6),sep(lseg(x1,x5),sep(lseg(x3,x10),sep(lseg(x15,x4),sep(lseg(x4,x2),sep(lseg(x2,x15),sep(lseg(x2,x9),sep(lseg(x9,x6),sep(lseg(x9,x7),sep(lseg(x8,x1),sep(lseg(x8,x15),sep(lseg(x8,x14),sep(lseg(x14,x8),emp)))))))))))))))) ),
    inference(forward_demodulation,[status(thm)],[f123,f700]) ).

fof(f702,plain,
    ( ~ sQ10_spl
    | heap(sep(lseg(x6,x2),sep(lseg(x4,x9),sep(lseg(x1,x6),sep(lseg(x1,x5),sep(lseg(x4,x2),sep(lseg(x3,x10),sep(lseg(x15,x4),sep(lseg(x2,x15),sep(lseg(x2,x9),sep(lseg(x9,x6),sep(lseg(x9,x7),sep(lseg(x8,x1),sep(lseg(x8,x15),sep(lseg(x8,x14),sep(lseg(x14,x8),emp)))))))))))))))) ),
    inference(forward_demodulation,[status(thm)],[f123,f701]) ).

fof(f703,plain,
    ( ~ sQ10_spl
    | heap(sep(lseg(x6,x2),sep(lseg(x4,x9),sep(lseg(x4,x2),sep(lseg(x1,x6),sep(lseg(x1,x5),sep(lseg(x3,x10),sep(lseg(x15,x4),sep(lseg(x2,x15),sep(lseg(x2,x9),sep(lseg(x9,x6),sep(lseg(x9,x7),sep(lseg(x8,x1),sep(lseg(x8,x15),sep(lseg(x8,x14),sep(lseg(x14,x8),emp)))))))))))))))) ),
    inference(forward_demodulation,[status(thm)],[f123,f702]) ).

fof(f704,plain,
    ( ~ sQ10_spl
    | heap(sep(lseg(x6,x2),sep(lseg(x4,x2),sep(lseg(x4,x9),sep(lseg(x1,x6),sep(lseg(x1,x5),sep(lseg(x3,x10),sep(lseg(x15,x4),sep(lseg(x2,x15),sep(lseg(x2,x9),sep(lseg(x9,x6),sep(lseg(x9,x7),sep(lseg(x8,x1),sep(lseg(x8,x15),sep(lseg(x8,x14),sep(lseg(x14,x8),emp)))))))))))))))) ),
    inference(forward_demodulation,[status(thm)],[f22,f703]) ).

fof(f705,plain,
    ( ~ sQ11_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f683,f43]) ).

fof(f706,plain,
    ~ sQ11_spl,
    inference(contradiction_clause,[status(thm)],[f705]) ).

fof(f707,plain,
    ( ~ sQ10_spl
    | x4 = x9
    | x4 = x2 ),
    inference(resolution,[status(thm)],[f704,f138]) ).

fof(f708,definition,
    ( sQ13_spl
  <=> x4 = x2 ),
    introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition]) ).

fof(f709,plain,
    ( ~ sQ13_spl
    | x4 = x2 ),
    inference(component_clause,[status(thm)],[f708]) ).

fof(f711,plain,
    ( ~ sQ10_spl
    | sQ9_spl
    | sQ13_spl ),
    inference(split_clause,[status(thm)],[f707,f708,f658,f661]) ).

fof(f712,plain,
    ( ~ sQ10_spl
    | ~ sQ13_spl
    | heap(sep(lseg(x6,x2),sep(lseg(x4,x2),sep(lseg(x4,x9),sep(lseg(x1,x6),sep(lseg(x1,x5),sep(lseg(x3,x10),sep(lseg(x15,x4),sep(lseg(x2,x15),sep(lseg(x4,x9),sep(lseg(x9,x6),sep(lseg(x9,x7),sep(lseg(x8,x1),sep(lseg(x8,x15),sep(lseg(x8,x14),sep(lseg(x14,x8),emp)))))))))))))))) ),
    inference(backward_demodulation,[status(thm)],[f709,f704]) ).

fof(f713,plain,
    ( ~ sQ10_spl
    | ~ sQ13_spl
    | heap(sep(lseg(x6,x4),sep(lseg(x4,x2),sep(lseg(x4,x9),sep(lseg(x1,x6),sep(lseg(x1,x5),sep(lseg(x3,x10),sep(lseg(x15,x4),sep(lseg(x2,x15),sep(lseg(x4,x9),sep(lseg(x9,x6),sep(lseg(x9,x7),sep(lseg(x8,x1),sep(lseg(x8,x15),sep(lseg(x8,x14),sep(lseg(x14,x8),emp)))))))))))))))) ),
    inference(forward_demodulation,[status(thm)],[f709,f712]) ).

fof(f714,plain,
    ( ~ sQ10_spl
    | ~ sQ13_spl
    | heap(sep(lseg(x6,x4),sep(lseg(x4,x4),sep(lseg(x4,x9),sep(lseg(x1,x6),sep(lseg(x1,x5),sep(lseg(x3,x10),sep(lseg(x15,x4),sep(lseg(x2,x15),sep(lseg(x4,x9),sep(lseg(x9,x6),sep(lseg(x9,x7),sep(lseg(x8,x1),sep(lseg(x8,x15),sep(lseg(x8,x14),sep(lseg(x14,x8),emp)))))))))))))))) ),
    inference(forward_demodulation,[status(thm)],[f709,f713]) ).

fof(f715,plain,
    ( ~ sQ10_spl
    | ~ sQ13_spl
    | heap(sep(lseg(x6,x4),sep(lseg(x4,x9),sep(lseg(x1,x6),sep(lseg(x1,x5),sep(lseg(x3,x10),sep(lseg(x15,x4),sep(lseg(x2,x15),sep(lseg(x4,x9),sep(lseg(x9,x6),sep(lseg(x9,x7),sep(lseg(x8,x1),sep(lseg(x8,x15),sep(lseg(x8,x14),sep(lseg(x14,x8),emp))))))))))))))) ),
    inference(forward_demodulation,[status(thm)],[f23,f714]) ).

fof(f716,plain,
    ( ~ sQ10_spl
    | ~ sQ13_spl
    | heap(sep(lseg(x6,x4),sep(lseg(x4,x9),sep(lseg(x1,x6),sep(lseg(x1,x5),sep(lseg(x3,x10),sep(lseg(x4,x9),sep(lseg(x15,x4),sep(lseg(x2,x15),sep(lseg(x9,x6),sep(lseg(x9,x7),sep(lseg(x8,x1),sep(lseg(x8,x15),sep(lseg(x8,x14),sep(lseg(x14,x8),emp))))))))))))))) ),
    inference(forward_demodulation,[status(thm)],[f123,f715]) ).

fof(f717,plain,
    ( ~ sQ10_spl
    | ~ sQ13_spl
    | heap(sep(lseg(x6,x4),sep(lseg(x4,x9),sep(lseg(x1,x6),sep(lseg(x4,x9),sep(lseg(x1,x5),sep(lseg(x3,x10),sep(lseg(x15,x4),sep(lseg(x2,x15),sep(lseg(x9,x6),sep(lseg(x9,x7),sep(lseg(x8,x1),sep(lseg(x8,x15),sep(lseg(x8,x14),sep(lseg(x14,x8),emp))))))))))))))) ),
    inference(forward_demodulation,[status(thm)],[f123,f716]) ).

fof(f718,plain,
    ( ~ sQ10_spl
    | ~ sQ13_spl
    | heap(sep(lseg(x6,x4),sep(lseg(x4,x9),sep(lseg(x4,x9),sep(lseg(x1,x6),sep(lseg(x1,x5),sep(lseg(x3,x10),sep(lseg(x15,x4),sep(lseg(x2,x15),sep(lseg(x9,x6),sep(lseg(x9,x7),sep(lseg(x8,x1),sep(lseg(x8,x15),sep(lseg(x8,x14),sep(lseg(x14,x8),emp))))))))))))))) ),
    inference(forward_demodulation,[status(thm)],[f123,f717]) ).

fof(f719,plain,
    ( ~ sQ10_spl
    | ~ sQ13_spl
    | heap(sep(lseg(x6,x4),sep(lseg(x4,x9),sep(lseg(x4,x9),sep(lseg(x1,x6),sep(lseg(x1,x5),sep(lseg(x3,x10),sep(lseg(x15,x4),sep(lseg(x4,x15),sep(lseg(x9,x6),sep(lseg(x9,x7),sep(lseg(x8,x1),sep(lseg(x8,x15),sep(lseg(x8,x14),sep(lseg(x14,x8),emp))))))))))))))) ),
    inference(forward_demodulation,[status(thm)],[f709,f718]) ).

fof(f720,plain,
    ( ~ sQ10_spl
    | ~ sQ13_spl
    | heap(sep(lseg(x6,x4),sep(lseg(x4,x9),sep(lseg(x4,x9),sep(lseg(x1,x6),sep(lseg(x1,x5),sep(lseg(x4,x15),sep(lseg(x3,x10),sep(lseg(x15,x4),sep(lseg(x9,x6),sep(lseg(x9,x7),sep(lseg(x8,x1),sep(lseg(x8,x15),sep(lseg(x8,x14),sep(lseg(x14,x8),emp))))))))))))))) ),
    inference(forward_demodulation,[status(thm)],[f123,f719]) ).

fof(f721,plain,
    ( ~ sQ10_spl
    | ~ sQ13_spl
    | heap(sep(lseg(x6,x4),sep(lseg(x4,x9),sep(lseg(x4,x9),sep(lseg(x4,x15),sep(lseg(x1,x6),sep(lseg(x1,x5),sep(lseg(x3,x10),sep(lseg(x15,x4),sep(lseg(x9,x6),sep(lseg(x9,x7),sep(lseg(x8,x1),sep(lseg(x8,x15),sep(lseg(x8,x14),sep(lseg(x14,x8),emp))))))))))))))) ),
    inference(forward_demodulation,[status(thm)],[f123,f720]) ).

fof(f722,plain,
    ( ~ sQ10_spl
    | ~ sQ13_spl
    | heap(sep(lseg(x6,x4),sep(lseg(x4,x9),sep(lseg(x4,x15),sep(lseg(x4,x9),sep(lseg(x1,x6),sep(lseg(x1,x5),sep(lseg(x3,x10),sep(lseg(x15,x4),sep(lseg(x9,x6),sep(lseg(x9,x7),sep(lseg(x8,x1),sep(lseg(x8,x15),sep(lseg(x8,x14),sep(lseg(x14,x8),emp))))))))))))))) ),
    inference(forward_demodulation,[status(thm)],[f123,f721]) ).

fof(f723,plain,
    ( ~ sQ10_spl
    | ~ sQ13_spl
    | heap(sep(lseg(x6,x4),sep(lseg(x4,x15),sep(lseg(x4,x9),sep(lseg(x4,x9),sep(lseg(x1,x6),sep(lseg(x1,x5),sep(lseg(x3,x10),sep(lseg(x15,x4),sep(lseg(x9,x6),sep(lseg(x9,x7),sep(lseg(x8,x1),sep(lseg(x8,x15),sep(lseg(x8,x14),sep(lseg(x14,x8),emp))))))))))))))) ),
    inference(forward_demodulation,[status(thm)],[f22,f722]) ).

fof(f726,plain,
    ( ~ sQ10_spl
    | ~ sQ13_spl
    | x4 = x9
    | x4 = x9 ),
    inference(resolution,[status(thm)],[f723,f468]) ).

fof(f732,plain,
    ( ~ sQ10_spl
    | ~ sQ13_spl
    | sQ9_spl ),
    inference(split_clause,[status(thm)],[f726,f658,f708,f661]) ).

fof(f733,plain,
    $false,
    inference(sat_refutation,[status(thm)],[f664,f689,f693,f706,f711,f732]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05  % Problem  : SWW436-1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.06  % Command  : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.16/0.42  % Computer : n011.cluster.edu
% 0.16/0.42  % Model    : x86_64 x86_64
% 0.16/0.42  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.42  % Memory   : 8046.5625MB
% 0.16/0.42  % OS       : Linux 6.8.0-71-generic
% 0.16/0.42  % CPULimit : 300
% 0.16/0.42  % WCLimit  : 300
% 0.16/0.42  % DateTime : Mon Sep 21 09:52:56 UTC 2026
% 0.16/0.43  % CPUTime  : 
% 0.16/0.44  % Drodi V4.1.1
% 5.41/1.24  % Refutation found
% 5.41/1.24  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 5.41/1.24  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 5.41/1.26  % Elapsed time: 0.815640 seconds
% 5.41/1.26  % CPU time: 6.004190 seconds
% 5.41/1.26  % Total memory used: 142.219 MB
% 5.41/1.26  % Net memory used: 139.870 MB
%------------------------------------------------------------------------------