TSTP Solution File: SWW430-1 by Vampire-SAT---4.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.9
% Problem  : SWW430-1 : TPTP v8.2.0. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire %s %d SAT

% Computer : n010.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Mon Jun 24 18:51:52 EDT 2024

% Result   : Unsatisfiable 1.95s 0.67s
% Output   : Refutation 1.95s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   94
%            Number of leaves      :    6
% Syntax   : Number of formulae    :  101 (  96 unt;   0 def)
%            Number of atoms       :  107 (  18 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :    9 (   3   ~;   6   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   1 avg)
%            Maximal term depth    :   19 (   4 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :   15 (  15 usr;  13 con; 0-2 aty)
%            Number of variables   :   13 (  13   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f165,plain,
    $false,
    inference(global_subsumption,[],[f12,f13,f164]) ).

fof(f164,plain,
    ( x3 = x11
    | x3 = x12 ),
    inference(resolution,[],[f163,f7]) ).

fof(f7,axiom,
    ! [X2,X3,X4,X5] :
      ( ~ heap(sep(lseg(X3,X4),sep(lseg(X3,X5),X2)))
      | X3 = X4
      | X3 = X5 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).

fof(f163,plain,
    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))))))))))))))),
    inference(forward_demodulation,[],[f162,f1]) ).

fof(f1,axiom,
    ! [X2,X0,X1] : sep(X0,sep(X1,X2)) = sep(X1,sep(X0,X2)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).

fof(f162,plain,
    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))))))))))))))),
    inference(forward_demodulation,[],[f161,f1]) ).

fof(f161,plain,
    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))))))))))))))),
    inference(forward_demodulation,[],[f160,f75]) ).

fof(f75,plain,
    ! [X2,X3,X0,X1] : sep(X0,sep(X3,sep(X1,X2))) = sep(X3,sep(X1,sep(X0,X2))),
    inference(superposition,[],[f1,f1]) ).

fof(f160,plain,
    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))))))))))))))),
    inference(forward_demodulation,[],[f159,f75]) ).

fof(f159,plain,
    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))))))))))))))),
    inference(forward_demodulation,[],[f158,f75]) ).

fof(f158,plain,
    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))))))))))))))),
    inference(forward_demodulation,[],[f157,f2]) ).

fof(f2,axiom,
    ! [X2,X3] : sep(lseg(X3,X3),X2) = X2,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).

fof(f157,plain,
    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(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)))))))))))))))),
    inference(forward_demodulation,[],[f154,f1]) ).

fof(f154,plain,
    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(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)))))))))))))))),
    inference(backward_demodulation,[],[f151,f153]) ).

fof(f153,plain,
    x3 = x2,
    inference(global_subsumption,[],[f12,f152]) ).

fof(f152,plain,
    ( x3 = x11
    | x3 = x2 ),
    inference(resolution,[],[f151,f7]) ).

fof(f151,plain,
    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)))))))))))))))),
    inference(forward_demodulation,[],[f150,f1]) ).

fof(f150,plain,
    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)))))))))))))))),
    inference(forward_demodulation,[],[f149,f75]) ).

fof(f149,plain,
    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)))))))))))))))),
    inference(forward_demodulation,[],[f148,f75]) ).

fof(f148,plain,
    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)))))))))))))))),
    inference(forward_demodulation,[],[f147,f75]) ).

fof(f147,plain,
    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)))))))))))))))),
    inference(forward_demodulation,[],[f146,f75]) ).

fof(f146,plain,
    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)))))))))))))))),
    inference(forward_demodulation,[],[f145,f75]) ).

fof(f145,plain,
    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)))))))))))))))),
    inference(forward_demodulation,[],[f144,f75]) ).

fof(f144,plain,
    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)))))))))))))))),
    inference(forward_demodulation,[],[f143,f2]) ).

fof(f143,plain,
    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,x2),sep(lseg(x5,x4),sep(lseg(x4,x9),sep(lseg(x4,x8),sep(lseg(x3,x2),sep(lseg(x9,x10),emp))))))))))))))))),
    inference(forward_demodulation,[],[f142,f1]) ).

fof(f142,plain,
    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,x2),sep(lseg(x5,x4),sep(lseg(x4,x9),sep(lseg(x4,x8),sep(lseg(x3,x2),sep(lseg(x9,x10),emp))))))))))))))))),
    inference(backward_demodulation,[],[f139,f141]) ).

fof(f141,plain,
    x3 = x6,
    inference(global_subsumption,[],[f12,f140]) ).

fof(f140,plain,
    ( x3 = x11
    | x3 = x6 ),
    inference(resolution,[],[f139,f7]) ).

fof(f139,plain,
    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))))))))))))))))),
    inference(forward_demodulation,[],[f138,f75]) ).

fof(f138,plain,
    heap(sep(lseg(x3,x11),sep(lseg(x3,x6),sep(lseg(x3,x9),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(x6,x2),sep(lseg(x9,x10),emp))))))))))))))))),
    inference(forward_demodulation,[],[f137,f75]) ).

fof(f137,plain,
    heap(sep(lseg(x3,x11),sep(lseg(x3,x6),sep(lseg(x3,x9),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(x6,x2),sep(lseg(x9,x10),emp))))))))))))))))),
    inference(forward_demodulation,[],[f136,f75]) ).

fof(f136,plain,
    heap(sep(lseg(x3,x11),sep(lseg(x3,x6),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(x3,x8),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))))))))))))))))),
    inference(forward_demodulation,[],[f135,f75]) ).

fof(f135,plain,
    heap(sep(lseg(x3,x11),sep(lseg(x3,x6),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(x3,x8),sep(lseg(x4,x9),sep(lseg(x4,x8),sep(lseg(x6,x2),sep(lseg(x9,x10),emp))))))))))))))))),
    inference(forward_demodulation,[],[f134,f75]) ).

fof(f134,plain,
    heap(sep(lseg(x3,x11),sep(lseg(x3,x6),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(x3,x8),sep(lseg(x6,x2),sep(lseg(x9,x10),emp))))))))))))))))),
    inference(forward_demodulation,[],[f133,f75]) ).

fof(f133,plain,
    heap(sep(lseg(x3,x11),sep(lseg(x3,x6),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(x3,x8),sep(lseg(x6,x2),sep(lseg(x9,x10),emp))))))))))))))))),
    inference(forward_demodulation,[],[f132,f75]) ).

fof(f132,plain,
    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,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(x3,x8),sep(lseg(x6,x2),sep(lseg(x9,x10),emp))))))))))))))))),
    inference(forward_demodulation,[],[f131,f75]) ).

fof(f131,plain,
    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,x9),sep(lseg(x5,x2),sep(lseg(x5,x4),sep(lseg(x4,x9),sep(lseg(x4,x8),sep(lseg(x3,x8),sep(lseg(x6,x2),sep(lseg(x9,x10),emp))))))))))))))))),
    inference(forward_demodulation,[],[f130,f75]) ).

fof(f130,plain,
    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,x9),sep(lseg(x4,x9),sep(lseg(x4,x8),sep(lseg(x3,x8),sep(lseg(x6,x2),sep(lseg(x9,x10),emp))))))))))))))))),
    inference(forward_demodulation,[],[f129,f75]) ).

fof(f129,plain,
    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,x9),sep(lseg(x3,x8),sep(lseg(x6,x2),sep(lseg(x9,x10),emp))))))))))))))))),
    inference(forward_demodulation,[],[f128,f2]) ).

fof(f128,plain,
    heap(sep(lseg(x3,x3),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,x9),sep(lseg(x3,x8),sep(lseg(x6,x2),sep(lseg(x9,x10),emp)))))))))))))))))),
    inference(forward_demodulation,[],[f127,f1]) ).

fof(f127,plain,
    heap(sep(lseg(x3,x11),sep(lseg(x3,x3),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,x9),sep(lseg(x3,x8),sep(lseg(x6,x2),sep(lseg(x9,x10),emp)))))))))))))))))),
    inference(backward_demodulation,[],[f73,f126]) ).

fof(f126,plain,
    x3 = x1,
    inference(global_subsumption,[],[f12,f121]) ).

fof(f121,plain,
    ( x3 = x11
    | x3 = x1 ),
    inference(resolution,[],[f7,f73]) ).

fof(f73,plain,
    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)))))))))))))))))),
    inference(forward_demodulation,[],[f72,f1]) ).

fof(f72,plain,
    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)))))))))))))))))),
    inference(forward_demodulation,[],[f71,f1]) ).

fof(f71,plain,
    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)))))))))))))))))),
    inference(forward_demodulation,[],[f70,f1]) ).

fof(f70,plain,
    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)))))))))))))))))),
    inference(forward_demodulation,[],[f69,f1]) ).

fof(f69,plain,
    heap(sep(lseg(x3,x11),sep(lseg(x3,x1),sep(lseg(x3,x6),sep(lseg(x11,x8),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(x1,x9),sep(lseg(x1,x8),sep(lseg(x6,x2),emp)))))))))))))))))),
    inference(forward_demodulation,[],[f68,f1]) ).

fof(f68,plain,
    heap(sep(lseg(x3,x11),sep(lseg(x3,x1),sep(lseg(x3,x6),sep(lseg(x11,x8),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(x1,x9),sep(lseg(x1,x8),sep(lseg(x6,x2),emp)))))))))))))))))),
    inference(forward_demodulation,[],[f67,f1]) ).

fof(f67,plain,
    heap(sep(lseg(x3,x11),sep(lseg(x3,x1),sep(lseg(x3,x6),sep(lseg(x11,x8),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(x1,x9),sep(lseg(x1,x8),sep(lseg(x6,x2),emp)))))))))))))))))),
    inference(forward_demodulation,[],[f66,f1]) ).

fof(f66,plain,
    heap(sep(lseg(x3,x11),sep(lseg(x3,x1),sep(lseg(x3,x6),sep(lseg(x11,x8),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(x1,x9),sep(lseg(x1,x8),sep(lseg(x6,x2),emp)))))))))))))))))),
    inference(forward_demodulation,[],[f65,f1]) ).

fof(f65,plain,
    heap(sep(lseg(x3,x11),sep(lseg(x3,x1),sep(lseg(x3,x6),sep(lseg(x11,x8),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(x1,x9),sep(lseg(x1,x8),sep(lseg(x6,x2),emp)))))))))))))))))),
    inference(forward_demodulation,[],[f64,f1]) ).

fof(f64,plain,
    heap(sep(lseg(x3,x11),sep(lseg(x3,x1),sep(lseg(x3,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(x11,x6),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)))))))))))))))))),
    inference(forward_demodulation,[],[f63,f1]) ).

fof(f63,plain,
    heap(sep(lseg(x3,x11),sep(lseg(x3,x1),sep(lseg(x3,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(x11,x6),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)))))))))))))))))),
    inference(forward_demodulation,[],[f62,f1]) ).

fof(f62,plain,
    heap(sep(lseg(x3,x11),sep(lseg(x3,x1),sep(lseg(x3,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(x11,x6),sep(lseg(x4,x8),sep(lseg(x9,x10),sep(lseg(x1,x9),sep(lseg(x1,x8),sep(lseg(x6,x2),emp)))))))))))))))))),
    inference(forward_demodulation,[],[f61,f1]) ).

fof(f61,plain,
    heap(sep(lseg(x3,x11),sep(lseg(x3,x1),sep(lseg(x3,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(x11,x6),sep(lseg(x9,x10),sep(lseg(x1,x9),sep(lseg(x1,x8),sep(lseg(x6,x2),emp)))))))))))))))))),
    inference(forward_demodulation,[],[f60,f1]) ).

fof(f60,plain,
    heap(sep(lseg(x3,x11),sep(lseg(x3,x1),sep(lseg(x3,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(x11,x6),sep(lseg(x1,x9),sep(lseg(x1,x8),sep(lseg(x6,x2),emp)))))))))))))))))),
    inference(forward_demodulation,[],[f59,f1]) ).

fof(f59,plain,
    heap(sep(lseg(x3,x11),sep(lseg(x3,x1),sep(lseg(x3,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(x11,x6),sep(lseg(x1,x9),sep(lseg(x1,x8),sep(lseg(x6,x2),emp)))))))))))))))))),
    inference(forward_demodulation,[],[f58,f1]) ).

fof(f58,plain,
    heap(sep(lseg(x3,x11),sep(lseg(x3,x1),sep(lseg(x3,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(x11,x6),sep(lseg(x1,x9),sep(lseg(x1,x8),sep(lseg(x6,x2),emp)))))))))))))))))),
    inference(forward_demodulation,[],[f57,f1]) ).

fof(f57,plain,
    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,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(x11,x6),sep(lseg(x1,x9),sep(lseg(x1,x8),sep(lseg(x6,x2),emp)))))))))))))))))),
    inference(forward_demodulation,[],[f56,f1]) ).

fof(f56,plain,
    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,x8),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(x1,x9),sep(lseg(x1,x8),sep(lseg(x6,x2),emp)))))))))))))))))),
    inference(forward_demodulation,[],[f55,f1]) ).

fof(f55,plain,
    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,x8),sep(lseg(x5,x4),sep(lseg(x4,x9),sep(lseg(x4,x8),sep(lseg(x9,x10),sep(lseg(x11,x6),sep(lseg(x1,x9),sep(lseg(x1,x8),sep(lseg(x6,x2),emp)))))))))))))))))),
    inference(forward_demodulation,[],[f54,f1]) ).

fof(f54,plain,
    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,x8),sep(lseg(x4,x9),sep(lseg(x4,x8),sep(lseg(x9,x10),sep(lseg(x11,x6),sep(lseg(x1,x9),sep(lseg(x1,x8),sep(lseg(x6,x2),emp)))))))))))))))))),
    inference(forward_demodulation,[],[f53,f1]) ).

fof(f53,plain,
    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,x8),sep(lseg(x4,x8),sep(lseg(x9,x10),sep(lseg(x11,x6),sep(lseg(x1,x9),sep(lseg(x1,x8),sep(lseg(x6,x2),emp)))))))))))))))))),
    inference(forward_demodulation,[],[f52,f1]) ).

fof(f52,plain,
    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,x8),sep(lseg(x9,x10),sep(lseg(x11,x6),sep(lseg(x1,x9),sep(lseg(x1,x8),sep(lseg(x6,x2),emp)))))))))))))))))),
    inference(forward_demodulation,[],[f51,f1]) ).

fof(f51,plain,
    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,x8),sep(lseg(x11,x6),sep(lseg(x1,x9),sep(lseg(x1,x8),sep(lseg(x6,x2),emp)))))))))))))))))),
    inference(forward_demodulation,[],[f50,f1]) ).

fof(f50,plain,
    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,x8),sep(lseg(x11,x6),sep(lseg(x1,x9),sep(lseg(x1,x8),sep(lseg(x6,x2),emp)))))))))))))))))),
    inference(forward_demodulation,[],[f49,f1]) ).

fof(f49,plain,
    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,x8),sep(lseg(x11,x6),sep(lseg(x1,x9),sep(lseg(x1,x8),sep(lseg(x6,x2),emp)))))))))))))))))),
    inference(forward_demodulation,[],[f48,f1]) ).

fof(f48,plain,
    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,x8),sep(lseg(x11,x6),sep(lseg(x1,x9),sep(lseg(x1,x8),sep(lseg(x6,x2),emp)))))))))))))))))),
    inference(forward_demodulation,[],[f47,f1]) ).

fof(f47,plain,
    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,x8),sep(lseg(x11,x6),sep(lseg(x1,x9),sep(lseg(x1,x8),sep(lseg(x6,x2),emp)))))))))))))))))),
    inference(forward_demodulation,[],[f46,f1]) ).

fof(f46,plain,
    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,x8),sep(lseg(x11,x6),sep(lseg(x1,x9),sep(lseg(x1,x8),sep(lseg(x6,x2),emp)))))))))))))))))),
    inference(forward_demodulation,[],[f45,f1]) ).

fof(f45,plain,
    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,x8),sep(lseg(x11,x6),sep(lseg(x1,x9),sep(lseg(x1,x8),sep(lseg(x6,x2),emp)))))))))))))))))),
    inference(forward_demodulation,[],[f44,f1]) ).

fof(f44,plain,
    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,x8),sep(lseg(x11,x6),sep(lseg(x1,x9),sep(lseg(x1,x8),sep(lseg(x6,x2),emp)))))))))))))))))),
    inference(forward_demodulation,[],[f43,f1]) ).

fof(f43,plain,
    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,x8),sep(lseg(x11,x6),sep(lseg(x1,x9),sep(lseg(x1,x8),sep(lseg(x6,x2),emp)))))))))))))))))),
    inference(forward_demodulation,[],[f42,f1]) ).

fof(f42,plain,
    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,x8),sep(lseg(x11,x6),sep(lseg(x1,x9),sep(lseg(x1,x8),sep(lseg(x6,x2),emp)))))))))))))))))),
    inference(forward_demodulation,[],[f41,f1]) ).

fof(f41,plain,
    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,x8),sep(lseg(x11,x6),sep(lseg(x1,x9),sep(lseg(x1,x8),sep(lseg(x6,x2),emp)))))))))))))))))),
    inference(forward_demodulation,[],[f40,f1]) ).

fof(f40,plain,
    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,x8),sep(lseg(x11,x6),sep(lseg(x1,x9),sep(lseg(x1,x8),sep(lseg(x6,x2),emp)))))))))))))))))),
    inference(forward_demodulation,[],[f39,f1]) ).

fof(f39,plain,
    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,x8),sep(lseg(x11,x6),sep(lseg(x1,x9),sep(lseg(x1,x8),sep(lseg(x6,x2),emp)))))))))))))))))),
    inference(forward_demodulation,[],[f38,f1]) ).

fof(f38,plain,
    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,x8),sep(lseg(x11,x6),sep(lseg(x1,x9),sep(lseg(x1,x8),sep(lseg(x6,x2),emp)))))))))))))))))),
    inference(forward_demodulation,[],[f37,f1]) ).

fof(f37,plain,
    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,x8),sep(lseg(x11,x6),sep(lseg(x1,x9),sep(lseg(x1,x8),sep(lseg(x6,x2),emp)))))))))))))))))),
    inference(forward_demodulation,[],[f36,f1]) ).

fof(f36,plain,
    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,x8),sep(lseg(x11,x6),sep(lseg(x1,x9),sep(lseg(x1,x8),sep(lseg(x6,x2),emp)))))))))))))))))),
    inference(forward_demodulation,[],[f35,f1]) ).

fof(f35,plain,
    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,x8),sep(lseg(x11,x6),sep(lseg(x1,x9),sep(lseg(x1,x8),sep(lseg(x6,x2),emp)))))))))))))))))),
    inference(forward_demodulation,[],[f34,f1]) ).

fof(f34,plain,
    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,x8),sep(lseg(x11,x6),sep(lseg(x1,x9),sep(lseg(x1,x8),sep(lseg(x6,x2),emp)))))))))))))))))),
    inference(forward_demodulation,[],[f33,f1]) ).

fof(f33,plain,
    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,x8),sep(lseg(x11,x6),sep(lseg(x1,x9),sep(lseg(x1,x8),sep(lseg(x6,x2),emp)))))))))))))))))),
    inference(forward_demodulation,[],[f32,f1]) ).

fof(f32,plain,
    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,x8),sep(lseg(x11,x6),sep(lseg(x1,x9),sep(lseg(x1,x8),sep(lseg(x6,x2),emp)))))))))))))))))),
    inference(forward_demodulation,[],[f31,f1]) ).

fof(f31,plain,
    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,x8),sep(lseg(x11,x6),sep(lseg(x1,x9),sep(lseg(x1,x8),sep(lseg(x6,x2),emp)))))))))))))))))),
    inference(forward_demodulation,[],[f30,f1]) ).

fof(f30,plain,
    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,x8),sep(lseg(x11,x6),sep(lseg(x1,x9),sep(lseg(x1,x8),sep(lseg(x6,x2),emp)))))))))))))))))),
    inference(forward_demodulation,[],[f29,f1]) ).

fof(f29,plain,
    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,x8),sep(lseg(x11,x6),sep(lseg(x1,x9),sep(lseg(x1,x8),sep(lseg(x6,x2),emp)))))))))))))))))),
    inference(forward_demodulation,[],[f28,f1]) ).

fof(f28,plain,
    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,x8),sep(lseg(x11,x6),sep(lseg(x1,x9),sep(lseg(x1,x8),sep(lseg(x6,x2),emp)))))))))))))))))),
    inference(forward_demodulation,[],[f27,f1]) ).

fof(f27,plain,
    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,x8),sep(lseg(x11,x6),sep(lseg(x1,x9),sep(lseg(x1,x8),sep(lseg(x6,x2),emp)))))))))))))))))),
    inference(forward_demodulation,[],[f26,f1]) ).

fof(f26,plain,
    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,x8),sep(lseg(x11,x6),sep(lseg(x1,x9),sep(lseg(x1,x8),sep(lseg(x6,x2),emp)))))))))))))))))),
    inference(forward_demodulation,[],[f25,f1]) ).

fof(f25,plain,
    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,x8),sep(lseg(x11,x6),sep(lseg(x1,x9),sep(lseg(x1,x8),sep(lseg(x6,x2),emp)))))))))))))))))),
    inference(forward_demodulation,[],[f24,f1]) ).

fof(f24,plain,
    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,x8),sep(lseg(x11,x6),sep(lseg(x1,x9),sep(lseg(x1,x8),sep(lseg(x6,x2),emp)))))))))))))))))),
    inference(forward_demodulation,[],[f23,f1]) ).

fof(f23,plain,
    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,x8),sep(lseg(x11,x6),sep(lseg(x1,x9),sep(lseg(x1,x8),sep(lseg(x6,x2),emp)))))))))))))))))),
    inference(forward_demodulation,[],[f22,f1]) ).

fof(f22,plain,
    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,x8),sep(lseg(x11,x6),sep(lseg(x1,x9),sep(lseg(x1,x8),sep(lseg(x6,x2),emp)))))))))))))))))),
    inference(forward_demodulation,[],[f21,f1]) ).

fof(f21,plain,
    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,x8),sep(lseg(x11,x6),sep(lseg(x1,x9),sep(lseg(x1,x8),sep(lseg(x6,x2),emp)))))))))))))))))),
    inference(forward_demodulation,[],[f20,f1]) ).

fof(f20,plain,
    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,x8),sep(lseg(x11,x6),sep(lseg(x1,x9),sep(lseg(x1,x8),sep(lseg(x6,x2),emp)))))))))))))))))),
    inference(forward_demodulation,[],[f19,f1]) ).

fof(f19,plain,
    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,x8),sep(lseg(x11,x6),sep(lseg(x1,x9),sep(lseg(x1,x8),sep(lseg(x6,x2),emp)))))))))))))))))),
    inference(backward_demodulation,[],[f17,f1]) ).

fof(f17,axiom,
    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)))))))))))))))))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).

fof(f13,axiom,
    x3 != x12,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).

fof(f12,axiom,
    x3 != x11,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13  % Problem    : SWW430-1 : TPTP v8.2.0. Released v5.2.0.
% 0.12/0.13  % Command    : run_vampire %s %d SAT
% 0.13/0.34  % Computer : n010.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit   : 300
% 0.13/0.34  % WCLimit    : 300
% 0.13/0.34  % DateTime   : Wed Jun 19 05:43:24 EDT 2024
% 0.13/0.34  % CPUTime    : 
% 0.13/0.36  This is a CNF_UNS_RFO_SEQ_NHN problem
% 0.13/0.36  Running first-order model finding
% 0.13/0.36  Running /export/starexec/sandbox/solver/bin/vampire --mode casc_sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.22/0.43  % (26319)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.43  % (26325)ott+11_8:59_sil=16000:sp=occurrence:lsd=20:abs=on:i=146:aac=none:nm=16:fdi=10:rawr=on:nicw=on_0 on theBenchmark for (3000ds/146Mi)
% 0.22/0.43  % (26319)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.43  % (26326)ott-4_1:1_sil=4000:sp=reverse_arity:lcm=predicate:newcnf=on:i=115:bce=on:fd=off:fs=off:fsr=off_0 on theBenchmark for (3000ds/115Mi)
% 0.22/0.43  % (26319)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.43  % (26323)fmb+10_1:1_sil=256000:fmbss=23:fmbes=contour:newcnf=on:fmbsr=1.14:i=152523:nm=2:gsp=on:rp=on_0 on theBenchmark for (3000ds/152523Mi)
% 0.22/0.43  % (26319)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.43  % (26322)fmb+10_1:1_sil=256000:fmbes=contour:i=214858:bce=on_0 on theBenchmark for (3000ds/214858Mi)
% 0.22/0.43  % (26319)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.43  % (26324)ott+21_1:1_sil=4000:i=104:fsd=on:fd=off:newcnf=on_0 on theBenchmark for (3000ds/104Mi)
% 0.22/0.43  % (26319)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.43  % (26320)fmb+10_1:1_sil=256000:i=98885:tgt=full:fmbsr=1.3:fmbss=10_0 on theBenchmark for (3000ds/98885Mi)
% 0.22/0.43  % (26319)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.43  % (26321)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency:i=99418_0 on theBenchmark for (3000ds/99418Mi)
% 0.22/0.43  TRYING [1]
% 0.22/0.43  TRYING [2]
% 0.22/0.44  TRYING [3]
% 0.22/0.48  % (26324)Instruction limit reached!
% 0.22/0.48  % (26324)------------------------------
% 0.22/0.48  % (26324)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.22/0.48  % (26324)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.22/0.48  % (26324)Termination reason: Time limit
% 0.22/0.48  % (26324)Termination phase: Saturation
% 0.22/0.48  
% 0.22/0.48  % (26324)Memory used [KB]: 1564
% 0.22/0.48  % (26324)Time elapsed: 0.054 s
% 0.22/0.48  % (26324)Instructions burned: 104 (million)
% 0.22/0.48  % (26326)Instruction limit reached!
% 0.22/0.48  % (26326)------------------------------
% 0.22/0.48  % (26326)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.22/0.48  % (26326)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.22/0.48  % (26326)Termination reason: Time limit
% 0.22/0.48  % (26326)Termination phase: Saturation
% 0.22/0.48  
% 0.22/0.48  % (26326)Memory used [KB]: 1375
% 0.22/0.48  % (26326)Time elapsed: 0.056 s
% 0.22/0.48  % (26326)Instructions burned: 116 (million)
% 0.22/0.48  TRYING [10]
% 0.22/0.49  TRYING [4]
% 0.22/0.50  % (26325)Instruction limit reached!
% 0.22/0.50  % (26325)------------------------------
% 0.22/0.50  % (26325)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.22/0.50  % (26325)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.22/0.50  % (26325)Termination reason: Time limit
% 0.22/0.50  % (26325)Termination phase: Saturation
% 0.22/0.50  
% 0.22/0.50  % (26325)Memory used [KB]: 2327
% 0.22/0.50  % (26325)Time elapsed: 0.076 s
% 0.22/0.50  % (26325)Instructions burned: 149 (million)
% 0.22/0.52  % (26319)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.52  % (26327)dis+11_1:3_bsr=unit_only:sil=2000:rp=on:newcnf=on:i=404:kws=precedence:lsd=100_0 on theBenchmark for (2998ds/404Mi)
% 0.22/0.52  % (26319)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.52  % (26328)ott-21_1:1_sil=4000:sp=const_frequency:i=175:fsr=off:fs=off:av=off_0 on theBenchmark for (2998ds/175Mi)
% 0.22/0.54  % (26319)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.54  % (26329)ott+33_1:1_to=lpo:sil=8000:sp=weighted_frequency:rp=on:i=270:nm=3:fsr=off:sac=on_0 on theBenchmark for (2998ds/270Mi)
% 0.22/0.56  % (26328)Instruction limit reached!
% 0.22/0.56  % (26328)------------------------------
% 0.22/0.56  % (26328)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.22/0.56  % (26328)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.22/0.56  % (26328)Termination reason: Time limit
% 0.22/0.56  % (26328)Termination phase: Saturation
% 0.22/0.56  
% 0.22/0.56  % (26328)Memory used [KB]: 1358
% 0.22/0.56  % (26328)Time elapsed: 0.048 s
% 0.22/0.56  % (26328)Instructions burned: 176 (million)
% 1.67/0.60  % (26319)Running in auto input_syntax mode. Trying TPTP
% 1.67/0.60  % (26330)ott+4_1:1_sil=2000:i=900:bd=off:fsr=off_0 on theBenchmark for (2998ds/900Mi)
% 1.67/0.62  % (26329)Instruction limit reached!
% 1.67/0.62  % (26329)------------------------------
% 1.67/0.62  % (26329)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.67/0.62  % (26329)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.67/0.62  % (26329)Termination reason: Time limit
% 1.67/0.62  % (26329)Termination phase: Saturation
% 1.67/0.62  
% 1.67/0.62  % (26329)Memory used [KB]: 1987
% 1.67/0.62  % (26329)Time elapsed: 0.081 s
% 1.67/0.62  % (26329)Instructions burned: 270 (million)
% 1.67/0.62  % (26327)Instruction limit reached!
% 1.67/0.62  % (26327)------------------------------
% 1.67/0.62  % (26327)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.67/0.62  % (26327)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.67/0.62  % (26327)Termination reason: Time limit
% 1.67/0.62  % (26327)Termination phase: Saturation
% 1.67/0.62  
% 1.67/0.62  % (26327)Memory used [KB]: 2616
% 1.67/0.62  % (26327)Time elapsed: 0.108 s
% 1.67/0.62  % (26327)Instructions burned: 407 (million)
% 1.95/0.65  % (26319)Running in auto input_syntax mode. Trying TPTP
% 1.95/0.65  % (26331)fmb+10_1:1_sil=8000:fde=unused:fmbes=contour:i=7859:nm=2:fmbswr=0_0 on theBenchmark for (2997ds/7859Mi)
% 1.95/0.65  TRYING [1]
% 1.95/0.66  TRYING [2]
% 1.95/0.66  % (26319)Running in auto input_syntax mode. Trying TPTP
% 1.95/0.66  % (26332)ott+11_1:2_anc=none:sil=2000:sp=const_max:spb=units:s2a=on:i=2145:s2at=5.0:awrs=converge:awrsf=170:rawr=on:gs=on:fsr=off_0 on theBenchmark for (2997ds/2145Mi)
% 1.95/0.66  TRYING [3]
% 1.95/0.67  % (26332)First to succeed.
% 1.95/0.67  % (26332)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-26319"
% 1.95/0.67  % (26319)Running in auto input_syntax mode. Trying TPTP
% 1.95/0.67  % (26332)Refutation found. Thanks to Tanya!
% 1.95/0.67  % SZS status Unsatisfiable for theBenchmark
% 1.95/0.67  % SZS output start Proof for theBenchmark
% See solution above
% 1.95/0.67  % (26332)------------------------------
% 1.95/0.67  % (26332)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.95/0.67  % (26332)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.95/0.67  % (26332)Termination reason: Refutation
% 1.95/0.67  
% 1.95/0.67  % (26332)Memory used [KB]: 955
% 1.95/0.67  % (26332)Time elapsed: 0.010 s
% 1.95/0.67  % (26332)Instructions burned: 29 (million)
% 1.95/0.67  % (26332)------------------------------
% 1.95/0.67  % (26332)------------------------------
% 1.95/0.67  % (26319)Success in time 0.296 s
%------------------------------------------------------------------------------