TSTP Solution File: SWW431-1 by Vampire---4.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.9
% Problem  : SWW431-1 : TPTP v8.2.0. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire %s %d THM

% Computer : n023.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Mon Jun 24 18:32:28 EDT 2024

% Result   : Unsatisfiable 0.19s 0.49s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   67
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   81 (  76 unt;   0 def)
%            Number of atoms       :   88 (  24 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   10 (   3   ~;   7   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   2 avg)
%            Maximal term depth    :   14 (   3 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   :   53 (  53   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1960,plain,
    $false,
    inference(subsumption_resolution,[],[f1959,f18]) ).

fof(f18,axiom,
    x7 != x11,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

fof(f1959,plain,
    x7 = x11,
    inference(duplicate_literal_removal,[],[f1956]) ).

fof(f1956,plain,
    ( x7 = x11
    | x7 = x11 ),
    inference(resolution,[],[f1947,f267]) ).

fof(f267,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ heap(sep(X3,sep(lseg(X0,X1),sep(lseg(X0,X2),X4))))
      | X0 = X1
      | X0 = X2 ),
    inference(superposition,[],[f7,f79]) ).

fof(f79,plain,
    ! [X2,X3,X0,X1] : sep(X0,sep(X3,sep(X1,X2))) = sep(X3,sep(X1,sep(X0,X2))),
    inference(superposition,[],[f1,f1]) ).

fof(f1,axiom,
    ! [X2,X0,X1] : sep(X0,sep(X1,X2)) = sep(X1,sep(X0,X2)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

fof(f7,axiom,
    ! [X2,X3,X4,X5] :
      ( ~ heap(sep(lseg(X3,X4),sep(lseg(X3,X5),X2)))
      | X3 = X4
      | X3 = X5 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

fof(f1947,plain,
    heap(sep(lseg(x7,x10),sep(lseg(x11,x7),sep(lseg(x11,x7),sep(lseg(x2,x9),sep(lseg(x9,x2),sep(lseg(x5,x3),sep(lseg(x10,x8),sep(lseg(x13,x8),sep(lseg(x4,x9),emp)))))))))),
    inference(forward_demodulation,[],[f1946,f2]) ).

fof(f2,axiom,
    ! [X2,X3] : sep(lseg(X3,X3),X2) = X2,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

fof(f1946,plain,
    heap(sep(lseg(x7,x10),sep(lseg(x11,x7),sep(lseg(x11,x7),sep(lseg(x11,x11),sep(lseg(x2,x9),sep(lseg(x9,x2),sep(lseg(x5,x3),sep(lseg(x10,x8),sep(lseg(x13,x8),sep(lseg(x4,x9),emp))))))))))),
    inference(forward_demodulation,[],[f1944,f199]) ).

fof(f199,plain,
    ! [X2,X3,X0,X1,X4,X5] : sep(X4,sep(X5,sep(X1,sep(X2,sep(X0,X3))))) = sep(X0,sep(X4,sep(X5,sep(X1,sep(X2,X3))))),
    inference(superposition,[],[f79,f79]) ).

fof(f1944,plain,
    heap(sep(lseg(x7,x10),sep(lseg(x11,x7),sep(lseg(x11,x11),sep(lseg(x2,x9),sep(lseg(x9,x2),sep(lseg(x11,x7),sep(lseg(x5,x3),sep(lseg(x10,x8),sep(lseg(x13,x8),sep(lseg(x4,x9),emp))))))))))),
    inference(backward_demodulation,[],[f1939,f1943]) ).

fof(f1943,plain,
    x12 = x11,
    inference(subsumption_resolution,[],[f1940,f18]) ).

fof(f1940,plain,
    ( x7 = x11
    | x12 = x11 ),
    inference(resolution,[],[f1939,f267]) ).

fof(f1939,plain,
    heap(sep(lseg(x7,x10),sep(lseg(x11,x7),sep(lseg(x11,x12),sep(lseg(x2,x9),sep(lseg(x9,x2),sep(lseg(x12,x7),sep(lseg(x5,x3),sep(lseg(x10,x8),sep(lseg(x13,x8),sep(lseg(x4,x9),emp))))))))))),
    inference(forward_demodulation,[],[f1938,f1077]) ).

fof(f1077,plain,
    ! [X2,X3,X1,X4,X5] : sep(X4,sep(X5,sep(X1,sep(X2,X3)))) = sep(X4,sep(X5,sep(X2,sep(X1,X3)))),
    inference(forward_demodulation,[],[f828,f2]) ).

fof(f828,plain,
    ! [X2,X3,X0,X1,X4,X5] : sep(X4,sep(X5,sep(X2,sep(X1,X3)))) = sep(X4,sep(lseg(X0,X0),sep(X5,sep(X1,sep(X2,X3))))),
    inference(superposition,[],[f193,f186]) ).

fof(f186,plain,
    ! [X2,X3,X0,X1] : sep(X3,sep(X1,X2)) = sep(lseg(X0,X0),sep(X1,sep(X3,X2))),
    inference(superposition,[],[f79,f2]) ).

fof(f193,plain,
    ! [X2,X3,X0,X1] : sep(X1,sep(X2,sep(X0,X3))) = sep(X1,sep(X0,sep(X2,X3))),
    inference(superposition,[],[f79,f1]) ).

fof(f1938,plain,
    heap(sep(lseg(x7,x10),sep(lseg(x11,x7),sep(lseg(x11,x12),sep(lseg(x9,x2),sep(lseg(x2,x9),sep(lseg(x12,x7),sep(lseg(x5,x3),sep(lseg(x10,x8),sep(lseg(x13,x8),sep(lseg(x4,x9),emp))))))))))),
    inference(forward_demodulation,[],[f1937,f2]) ).

fof(f1937,plain,
    heap(sep(lseg(x7,x10),sep(lseg(x11,x7),sep(lseg(x11,x11),sep(lseg(x11,x12),sep(lseg(x9,x2),sep(lseg(x2,x9),sep(lseg(x12,x7),sep(lseg(x5,x3),sep(lseg(x10,x8),sep(lseg(x13,x8),sep(lseg(x4,x9),emp)))))))))))),
    inference(forward_demodulation,[],[f1936,f833]) ).

fof(f833,plain,
    ! [X2,X3,X0,X1,X4,X5] : sep(X4,sep(X5,sep(X2,sep(X1,sep(X0,X3))))) = sep(X4,sep(X0,sep(X5,sep(X1,sep(X2,X3))))),
    inference(superposition,[],[f193,f187]) ).

fof(f187,plain,
    ! [X2,X3,X0,X1] : sep(X3,sep(X1,sep(X0,X2))) = sep(X0,sep(X1,sep(X3,X2))),
    inference(superposition,[],[f79,f1]) ).

fof(f1936,plain,
    heap(sep(lseg(x7,x10),sep(lseg(x11,x7),sep(lseg(x11,x12),sep(lseg(x2,x9),sep(lseg(x9,x2),sep(lseg(x11,x11),sep(lseg(x12,x7),sep(lseg(x5,x3),sep(lseg(x10,x8),sep(lseg(x13,x8),sep(lseg(x4,x9),emp)))))))))))),
    inference(forward_demodulation,[],[f1935,f2]) ).

fof(f1935,plain,
    heap(sep(lseg(x7,x10),sep(lseg(x11,x7),sep(lseg(x11,x11),sep(lseg(x11,x12),sep(lseg(x2,x9),sep(lseg(x9,x2),sep(lseg(x11,x11),sep(lseg(x12,x7),sep(lseg(x5,x3),sep(lseg(x10,x8),sep(lseg(x13,x8),sep(lseg(x4,x9),emp))))))))))))),
    inference(backward_demodulation,[],[f77,f1934]) ).

fof(f1934,plain,
    x11 = x1,
    inference(subsumption_resolution,[],[f1907,f18]) ).

fof(f1907,plain,
    ( x7 = x11
    | x11 = x1 ),
    inference(resolution,[],[f267,f77]) ).

fof(f77,plain,
    heap(sep(lseg(x7,x10),sep(lseg(x11,x7),sep(lseg(x11,x1),sep(lseg(x11,x12),sep(lseg(x2,x9),sep(lseg(x9,x2),sep(lseg(x1,x11),sep(lseg(x12,x7),sep(lseg(x5,x3),sep(lseg(x10,x8),sep(lseg(x13,x8),sep(lseg(x4,x9),emp))))))))))))),
    inference(forward_demodulation,[],[f76,f1]) ).

fof(f76,plain,
    heap(sep(lseg(x7,x10),sep(lseg(x11,x7),sep(lseg(x11,x12),sep(lseg(x11,x1),sep(lseg(x2,x9),sep(lseg(x9,x2),sep(lseg(x1,x11),sep(lseg(x12,x7),sep(lseg(x5,x3),sep(lseg(x10,x8),sep(lseg(x13,x8),sep(lseg(x4,x9),emp))))))))))))),
    inference(forward_demodulation,[],[f75,f1]) ).

fof(f75,plain,
    heap(sep(lseg(x7,x10),sep(lseg(x11,x7),sep(lseg(x11,x12),sep(lseg(x2,x9),sep(lseg(x11,x1),sep(lseg(x9,x2),sep(lseg(x1,x11),sep(lseg(x12,x7),sep(lseg(x5,x3),sep(lseg(x10,x8),sep(lseg(x13,x8),sep(lseg(x4,x9),emp))))))))))))),
    inference(forward_demodulation,[],[f74,f1]) ).

fof(f74,plain,
    heap(sep(lseg(x7,x10),sep(lseg(x11,x7),sep(lseg(x11,x12),sep(lseg(x2,x9),sep(lseg(x9,x2),sep(lseg(x11,x1),sep(lseg(x1,x11),sep(lseg(x12,x7),sep(lseg(x5,x3),sep(lseg(x10,x8),sep(lseg(x13,x8),sep(lseg(x4,x9),emp))))))))))))),
    inference(forward_demodulation,[],[f73,f1]) ).

fof(f73,plain,
    heap(sep(lseg(x7,x10),sep(lseg(x11,x7),sep(lseg(x11,x12),sep(lseg(x2,x9),sep(lseg(x9,x2),sep(lseg(x1,x11),sep(lseg(x11,x1),sep(lseg(x12,x7),sep(lseg(x5,x3),sep(lseg(x10,x8),sep(lseg(x13,x8),sep(lseg(x4,x9),emp))))))))))))),
    inference(forward_demodulation,[],[f72,f1]) ).

fof(f72,plain,
    heap(sep(lseg(x7,x10),sep(lseg(x11,x7),sep(lseg(x11,x12),sep(lseg(x2,x9),sep(lseg(x9,x2),sep(lseg(x1,x11),sep(lseg(x12,x7),sep(lseg(x11,x1),sep(lseg(x5,x3),sep(lseg(x10,x8),sep(lseg(x13,x8),sep(lseg(x4,x9),emp))))))))))))),
    inference(forward_demodulation,[],[f71,f1]) ).

fof(f71,plain,
    heap(sep(lseg(x7,x10),sep(lseg(x11,x7),sep(lseg(x11,x12),sep(lseg(x2,x9),sep(lseg(x9,x2),sep(lseg(x1,x11),sep(lseg(x12,x7),sep(lseg(x5,x3),sep(lseg(x11,x1),sep(lseg(x10,x8),sep(lseg(x13,x8),sep(lseg(x4,x9),emp))))))))))))),
    inference(forward_demodulation,[],[f70,f1]) ).

fof(f70,plain,
    heap(sep(lseg(x7,x10),sep(lseg(x11,x7),sep(lseg(x11,x12),sep(lseg(x2,x9),sep(lseg(x9,x2),sep(lseg(x1,x11),sep(lseg(x12,x7),sep(lseg(x5,x3),sep(lseg(x10,x8),sep(lseg(x11,x1),sep(lseg(x13,x8),sep(lseg(x4,x9),emp))))))))))))),
    inference(forward_demodulation,[],[f69,f1]) ).

fof(f69,plain,
    heap(sep(lseg(x7,x10),sep(lseg(x11,x7),sep(lseg(x11,x12),sep(lseg(x2,x9),sep(lseg(x9,x2),sep(lseg(x1,x11),sep(lseg(x12,x7),sep(lseg(x5,x3),sep(lseg(x10,x8),sep(lseg(x13,x8),sep(lseg(x11,x1),sep(lseg(x4,x9),emp))))))))))))),
    inference(forward_demodulation,[],[f68,f1]) ).

fof(f68,plain,
    heap(sep(lseg(x7,x10),sep(lseg(x11,x7),sep(lseg(x11,x12),sep(lseg(x2,x9),sep(lseg(x9,x2),sep(lseg(x1,x11),sep(lseg(x12,x7),sep(lseg(x5,x3),sep(lseg(x10,x8),sep(lseg(x13,x8),sep(lseg(x4,x9),sep(lseg(x11,x1),emp))))))))))))),
    inference(forward_demodulation,[],[f67,f1]) ).

fof(f67,plain,
    heap(sep(lseg(x7,x10),sep(lseg(x11,x12),sep(lseg(x11,x7),sep(lseg(x2,x9),sep(lseg(x9,x2),sep(lseg(x1,x11),sep(lseg(x12,x7),sep(lseg(x5,x3),sep(lseg(x10,x8),sep(lseg(x13,x8),sep(lseg(x4,x9),sep(lseg(x11,x1),emp))))))))))))),
    inference(forward_demodulation,[],[f66,f1]) ).

fof(f66,plain,
    heap(sep(lseg(x7,x10),sep(lseg(x11,x12),sep(lseg(x2,x9),sep(lseg(x11,x7),sep(lseg(x9,x2),sep(lseg(x1,x11),sep(lseg(x12,x7),sep(lseg(x5,x3),sep(lseg(x10,x8),sep(lseg(x13,x8),sep(lseg(x4,x9),sep(lseg(x11,x1),emp))))))))))))),
    inference(forward_demodulation,[],[f65,f1]) ).

fof(f65,plain,
    heap(sep(lseg(x7,x10),sep(lseg(x11,x12),sep(lseg(x2,x9),sep(lseg(x9,x2),sep(lseg(x11,x7),sep(lseg(x1,x11),sep(lseg(x12,x7),sep(lseg(x5,x3),sep(lseg(x10,x8),sep(lseg(x13,x8),sep(lseg(x4,x9),sep(lseg(x11,x1),emp))))))))))))),
    inference(forward_demodulation,[],[f64,f1]) ).

fof(f64,plain,
    heap(sep(lseg(x7,x10),sep(lseg(x11,x12),sep(lseg(x2,x9),sep(lseg(x9,x2),sep(lseg(x1,x11),sep(lseg(x11,x7),sep(lseg(x12,x7),sep(lseg(x5,x3),sep(lseg(x10,x8),sep(lseg(x13,x8),sep(lseg(x4,x9),sep(lseg(x11,x1),emp))))))))))))),
    inference(forward_demodulation,[],[f63,f1]) ).

fof(f63,plain,
    heap(sep(lseg(x7,x10),sep(lseg(x11,x12),sep(lseg(x2,x9),sep(lseg(x9,x2),sep(lseg(x1,x11),sep(lseg(x12,x7),sep(lseg(x11,x7),sep(lseg(x5,x3),sep(lseg(x10,x8),sep(lseg(x13,x8),sep(lseg(x4,x9),sep(lseg(x11,x1),emp))))))))))))),
    inference(forward_demodulation,[],[f62,f1]) ).

fof(f62,plain,
    heap(sep(lseg(x7,x10),sep(lseg(x11,x12),sep(lseg(x2,x9),sep(lseg(x9,x2),sep(lseg(x1,x11),sep(lseg(x12,x7),sep(lseg(x5,x3),sep(lseg(x11,x7),sep(lseg(x10,x8),sep(lseg(x13,x8),sep(lseg(x4,x9),sep(lseg(x11,x1),emp))))))))))))),
    inference(forward_demodulation,[],[f61,f1]) ).

fof(f61,plain,
    heap(sep(lseg(x7,x10),sep(lseg(x11,x12),sep(lseg(x2,x9),sep(lseg(x9,x2),sep(lseg(x1,x11),sep(lseg(x12,x7),sep(lseg(x5,x3),sep(lseg(x10,x8),sep(lseg(x11,x7),sep(lseg(x13,x8),sep(lseg(x4,x9),sep(lseg(x11,x1),emp))))))))))))),
    inference(forward_demodulation,[],[f60,f1]) ).

fof(f60,plain,
    heap(sep(lseg(x7,x10),sep(lseg(x11,x12),sep(lseg(x2,x9),sep(lseg(x9,x2),sep(lseg(x1,x11),sep(lseg(x12,x7),sep(lseg(x5,x3),sep(lseg(x10,x8),sep(lseg(x13,x8),sep(lseg(x11,x7),sep(lseg(x4,x9),sep(lseg(x11,x1),emp))))))))))))),
    inference(forward_demodulation,[],[f59,f1]) ).

fof(f59,plain,
    heap(sep(lseg(x7,x10),sep(lseg(x11,x12),sep(lseg(x2,x9),sep(lseg(x9,x2),sep(lseg(x1,x11),sep(lseg(x12,x7),sep(lseg(x5,x3),sep(lseg(x10,x8),sep(lseg(x13,x8),sep(lseg(x4,x9),sep(lseg(x11,x7),sep(lseg(x11,x1),emp))))))))))))),
    inference(forward_demodulation,[],[f58,f1]) ).

fof(f58,plain,
    heap(sep(lseg(x7,x10),sep(lseg(x2,x9),sep(lseg(x11,x12),sep(lseg(x9,x2),sep(lseg(x1,x11),sep(lseg(x12,x7),sep(lseg(x5,x3),sep(lseg(x10,x8),sep(lseg(x13,x8),sep(lseg(x4,x9),sep(lseg(x11,x7),sep(lseg(x11,x1),emp))))))))))))),
    inference(forward_demodulation,[],[f57,f1]) ).

fof(f57,plain,
    heap(sep(lseg(x7,x10),sep(lseg(x2,x9),sep(lseg(x9,x2),sep(lseg(x11,x12),sep(lseg(x1,x11),sep(lseg(x12,x7),sep(lseg(x5,x3),sep(lseg(x10,x8),sep(lseg(x13,x8),sep(lseg(x4,x9),sep(lseg(x11,x7),sep(lseg(x11,x1),emp))))))))))))),
    inference(forward_demodulation,[],[f56,f1]) ).

fof(f56,plain,
    heap(sep(lseg(x7,x10),sep(lseg(x2,x9),sep(lseg(x9,x2),sep(lseg(x1,x11),sep(lseg(x11,x12),sep(lseg(x12,x7),sep(lseg(x5,x3),sep(lseg(x10,x8),sep(lseg(x13,x8),sep(lseg(x4,x9),sep(lseg(x11,x7),sep(lseg(x11,x1),emp))))))))))))),
    inference(forward_demodulation,[],[f55,f1]) ).

fof(f55,plain,
    heap(sep(lseg(x7,x10),sep(lseg(x2,x9),sep(lseg(x9,x2),sep(lseg(x1,x11),sep(lseg(x12,x7),sep(lseg(x11,x12),sep(lseg(x5,x3),sep(lseg(x10,x8),sep(lseg(x13,x8),sep(lseg(x4,x9),sep(lseg(x11,x7),sep(lseg(x11,x1),emp))))))))))))),
    inference(forward_demodulation,[],[f54,f1]) ).

fof(f54,plain,
    heap(sep(lseg(x7,x10),sep(lseg(x2,x9),sep(lseg(x9,x2),sep(lseg(x1,x11),sep(lseg(x12,x7),sep(lseg(x5,x3),sep(lseg(x11,x12),sep(lseg(x10,x8),sep(lseg(x13,x8),sep(lseg(x4,x9),sep(lseg(x11,x7),sep(lseg(x11,x1),emp))))))))))))),
    inference(forward_demodulation,[],[f53,f1]) ).

fof(f53,plain,
    heap(sep(lseg(x7,x10),sep(lseg(x2,x9),sep(lseg(x9,x2),sep(lseg(x1,x11),sep(lseg(x12,x7),sep(lseg(x5,x3),sep(lseg(x10,x8),sep(lseg(x11,x12),sep(lseg(x13,x8),sep(lseg(x4,x9),sep(lseg(x11,x7),sep(lseg(x11,x1),emp))))))))))))),
    inference(forward_demodulation,[],[f52,f1]) ).

fof(f52,plain,
    heap(sep(lseg(x7,x10),sep(lseg(x2,x9),sep(lseg(x9,x2),sep(lseg(x1,x11),sep(lseg(x12,x7),sep(lseg(x5,x3),sep(lseg(x10,x8),sep(lseg(x13,x8),sep(lseg(x11,x12),sep(lseg(x4,x9),sep(lseg(x11,x7),sep(lseg(x11,x1),emp))))))))))))),
    inference(forward_demodulation,[],[f51,f1]) ).

fof(f51,plain,
    heap(sep(lseg(x7,x10),sep(lseg(x2,x9),sep(lseg(x9,x2),sep(lseg(x1,x11),sep(lseg(x12,x7),sep(lseg(x5,x3),sep(lseg(x10,x8),sep(lseg(x13,x8),sep(lseg(x4,x9),sep(lseg(x11,x12),sep(lseg(x11,x7),sep(lseg(x11,x1),emp))))))))))))),
    inference(forward_demodulation,[],[f50,f1]) ).

fof(f50,plain,
    heap(sep(lseg(x2,x9),sep(lseg(x7,x10),sep(lseg(x9,x2),sep(lseg(x1,x11),sep(lseg(x12,x7),sep(lseg(x5,x3),sep(lseg(x10,x8),sep(lseg(x13,x8),sep(lseg(x4,x9),sep(lseg(x11,x12),sep(lseg(x11,x7),sep(lseg(x11,x1),emp))))))))))))),
    inference(forward_demodulation,[],[f49,f1]) ).

fof(f49,plain,
    heap(sep(lseg(x2,x9),sep(lseg(x9,x2),sep(lseg(x7,x10),sep(lseg(x1,x11),sep(lseg(x12,x7),sep(lseg(x5,x3),sep(lseg(x10,x8),sep(lseg(x13,x8),sep(lseg(x4,x9),sep(lseg(x11,x12),sep(lseg(x11,x7),sep(lseg(x11,x1),emp))))))))))))),
    inference(forward_demodulation,[],[f48,f1]) ).

fof(f48,plain,
    heap(sep(lseg(x2,x9),sep(lseg(x9,x2),sep(lseg(x1,x11),sep(lseg(x7,x10),sep(lseg(x12,x7),sep(lseg(x5,x3),sep(lseg(x10,x8),sep(lseg(x13,x8),sep(lseg(x4,x9),sep(lseg(x11,x12),sep(lseg(x11,x7),sep(lseg(x11,x1),emp))))))))))))),
    inference(forward_demodulation,[],[f47,f1]) ).

fof(f47,plain,
    heap(sep(lseg(x2,x9),sep(lseg(x9,x2),sep(lseg(x1,x11),sep(lseg(x12,x7),sep(lseg(x7,x10),sep(lseg(x5,x3),sep(lseg(x10,x8),sep(lseg(x13,x8),sep(lseg(x4,x9),sep(lseg(x11,x12),sep(lseg(x11,x7),sep(lseg(x11,x1),emp))))))))))))),
    inference(forward_demodulation,[],[f46,f1]) ).

fof(f46,plain,
    heap(sep(lseg(x2,x9),sep(lseg(x9,x2),sep(lseg(x1,x11),sep(lseg(x12,x7),sep(lseg(x5,x3),sep(lseg(x7,x10),sep(lseg(x10,x8),sep(lseg(x13,x8),sep(lseg(x4,x9),sep(lseg(x11,x12),sep(lseg(x11,x7),sep(lseg(x11,x1),emp))))))))))))),
    inference(forward_demodulation,[],[f45,f1]) ).

fof(f45,plain,
    heap(sep(lseg(x2,x9),sep(lseg(x9,x2),sep(lseg(x1,x11),sep(lseg(x12,x7),sep(lseg(x5,x3),sep(lseg(x10,x8),sep(lseg(x7,x10),sep(lseg(x13,x8),sep(lseg(x4,x9),sep(lseg(x11,x12),sep(lseg(x11,x7),sep(lseg(x11,x1),emp))))))))))))),
    inference(forward_demodulation,[],[f44,f1]) ).

fof(f44,plain,
    heap(sep(lseg(x2,x9),sep(lseg(x9,x2),sep(lseg(x1,x11),sep(lseg(x12,x7),sep(lseg(x5,x3),sep(lseg(x10,x8),sep(lseg(x13,x8),sep(lseg(x7,x10),sep(lseg(x4,x9),sep(lseg(x11,x12),sep(lseg(x11,x7),sep(lseg(x11,x1),emp))))))))))))),
    inference(forward_demodulation,[],[f43,f1]) ).

fof(f43,plain,
    heap(sep(lseg(x2,x9),sep(lseg(x9,x2),sep(lseg(x1,x11),sep(lseg(x12,x7),sep(lseg(x5,x3),sep(lseg(x10,x8),sep(lseg(x13,x8),sep(lseg(x4,x9),sep(lseg(x7,x10),sep(lseg(x11,x12),sep(lseg(x11,x7),sep(lseg(x11,x1),emp))))))))))))),
    inference(forward_demodulation,[],[f42,f1]) ).

fof(f42,plain,
    heap(sep(lseg(x2,x9),sep(lseg(x1,x11),sep(lseg(x9,x2),sep(lseg(x12,x7),sep(lseg(x5,x3),sep(lseg(x10,x8),sep(lseg(x13,x8),sep(lseg(x4,x9),sep(lseg(x7,x10),sep(lseg(x11,x12),sep(lseg(x11,x7),sep(lseg(x11,x1),emp))))))))))))),
    inference(forward_demodulation,[],[f41,f1]) ).

fof(f41,plain,
    heap(sep(lseg(x2,x9),sep(lseg(x1,x11),sep(lseg(x12,x7),sep(lseg(x9,x2),sep(lseg(x5,x3),sep(lseg(x10,x8),sep(lseg(x13,x8),sep(lseg(x4,x9),sep(lseg(x7,x10),sep(lseg(x11,x12),sep(lseg(x11,x7),sep(lseg(x11,x1),emp))))))))))))),
    inference(forward_demodulation,[],[f40,f1]) ).

fof(f40,plain,
    heap(sep(lseg(x2,x9),sep(lseg(x1,x11),sep(lseg(x12,x7),sep(lseg(x5,x3),sep(lseg(x9,x2),sep(lseg(x10,x8),sep(lseg(x13,x8),sep(lseg(x4,x9),sep(lseg(x7,x10),sep(lseg(x11,x12),sep(lseg(x11,x7),sep(lseg(x11,x1),emp))))))))))))),
    inference(forward_demodulation,[],[f39,f1]) ).

fof(f39,plain,
    heap(sep(lseg(x2,x9),sep(lseg(x1,x11),sep(lseg(x12,x7),sep(lseg(x5,x3),sep(lseg(x10,x8),sep(lseg(x9,x2),sep(lseg(x13,x8),sep(lseg(x4,x9),sep(lseg(x7,x10),sep(lseg(x11,x12),sep(lseg(x11,x7),sep(lseg(x11,x1),emp))))))))))))),
    inference(forward_demodulation,[],[f38,f1]) ).

fof(f38,plain,
    heap(sep(lseg(x2,x9),sep(lseg(x1,x11),sep(lseg(x12,x7),sep(lseg(x5,x3),sep(lseg(x10,x8),sep(lseg(x13,x8),sep(lseg(x9,x2),sep(lseg(x4,x9),sep(lseg(x7,x10),sep(lseg(x11,x12),sep(lseg(x11,x7),sep(lseg(x11,x1),emp))))))))))))),
    inference(forward_demodulation,[],[f37,f1]) ).

fof(f37,plain,
    heap(sep(lseg(x2,x9),sep(lseg(x1,x11),sep(lseg(x12,x7),sep(lseg(x5,x3),sep(lseg(x10,x8),sep(lseg(x13,x8),sep(lseg(x4,x9),sep(lseg(x9,x2),sep(lseg(x7,x10),sep(lseg(x11,x12),sep(lseg(x11,x7),sep(lseg(x11,x1),emp))))))))))))),
    inference(forward_demodulation,[],[f36,f1]) ).

fof(f36,plain,
    heap(sep(lseg(x2,x9),sep(lseg(x1,x11),sep(lseg(x5,x3),sep(lseg(x12,x7),sep(lseg(x10,x8),sep(lseg(x13,x8),sep(lseg(x4,x9),sep(lseg(x9,x2),sep(lseg(x7,x10),sep(lseg(x11,x12),sep(lseg(x11,x7),sep(lseg(x11,x1),emp))))))))))))),
    inference(forward_demodulation,[],[f35,f1]) ).

fof(f35,plain,
    heap(sep(lseg(x2,x9),sep(lseg(x1,x11),sep(lseg(x5,x3),sep(lseg(x10,x8),sep(lseg(x12,x7),sep(lseg(x13,x8),sep(lseg(x4,x9),sep(lseg(x9,x2),sep(lseg(x7,x10),sep(lseg(x11,x12),sep(lseg(x11,x7),sep(lseg(x11,x1),emp))))))))))))),
    inference(forward_demodulation,[],[f34,f1]) ).

fof(f34,plain,
    heap(sep(lseg(x2,x9),sep(lseg(x1,x11),sep(lseg(x5,x3),sep(lseg(x10,x8),sep(lseg(x13,x8),sep(lseg(x12,x7),sep(lseg(x4,x9),sep(lseg(x9,x2),sep(lseg(x7,x10),sep(lseg(x11,x12),sep(lseg(x11,x7),sep(lseg(x11,x1),emp))))))))))))),
    inference(forward_demodulation,[],[f33,f1]) ).

fof(f33,plain,
    heap(sep(lseg(x2,x9),sep(lseg(x1,x11),sep(lseg(x5,x3),sep(lseg(x10,x8),sep(lseg(x13,x8),sep(lseg(x4,x9),sep(lseg(x12,x7),sep(lseg(x9,x2),sep(lseg(x7,x10),sep(lseg(x11,x12),sep(lseg(x11,x7),sep(lseg(x11,x1),emp))))))))))))),
    inference(forward_demodulation,[],[f32,f1]) ).

fof(f32,plain,
    heap(sep(lseg(x1,x11),sep(lseg(x2,x9),sep(lseg(x5,x3),sep(lseg(x10,x8),sep(lseg(x13,x8),sep(lseg(x4,x9),sep(lseg(x12,x7),sep(lseg(x9,x2),sep(lseg(x7,x10),sep(lseg(x11,x12),sep(lseg(x11,x7),sep(lseg(x11,x1),emp))))))))))))),
    inference(forward_demodulation,[],[f31,f1]) ).

fof(f31,plain,
    heap(sep(lseg(x1,x11),sep(lseg(x5,x3),sep(lseg(x2,x9),sep(lseg(x10,x8),sep(lseg(x13,x8),sep(lseg(x4,x9),sep(lseg(x12,x7),sep(lseg(x9,x2),sep(lseg(x7,x10),sep(lseg(x11,x12),sep(lseg(x11,x7),sep(lseg(x11,x1),emp))))))))))))),
    inference(forward_demodulation,[],[f30,f1]) ).

fof(f30,plain,
    heap(sep(lseg(x1,x11),sep(lseg(x5,x3),sep(lseg(x10,x8),sep(lseg(x2,x9),sep(lseg(x13,x8),sep(lseg(x4,x9),sep(lseg(x12,x7),sep(lseg(x9,x2),sep(lseg(x7,x10),sep(lseg(x11,x12),sep(lseg(x11,x7),sep(lseg(x11,x1),emp))))))))))))),
    inference(forward_demodulation,[],[f29,f1]) ).

fof(f29,plain,
    heap(sep(lseg(x1,x11),sep(lseg(x5,x3),sep(lseg(x10,x8),sep(lseg(x13,x8),sep(lseg(x2,x9),sep(lseg(x4,x9),sep(lseg(x12,x7),sep(lseg(x9,x2),sep(lseg(x7,x10),sep(lseg(x11,x12),sep(lseg(x11,x7),sep(lseg(x11,x1),emp))))))))))))),
    inference(forward_demodulation,[],[f28,f1]) ).

fof(f28,plain,
    heap(sep(lseg(x1,x11),sep(lseg(x5,x3),sep(lseg(x10,x8),sep(lseg(x13,x8),sep(lseg(x4,x9),sep(lseg(x2,x9),sep(lseg(x12,x7),sep(lseg(x9,x2),sep(lseg(x7,x10),sep(lseg(x11,x12),sep(lseg(x11,x7),sep(lseg(x11,x1),emp))))))))))))),
    inference(forward_demodulation,[],[f27,f1]) ).

fof(f27,plain,
    heap(sep(lseg(x5,x3),sep(lseg(x1,x11),sep(lseg(x10,x8),sep(lseg(x13,x8),sep(lseg(x4,x9),sep(lseg(x2,x9),sep(lseg(x12,x7),sep(lseg(x9,x2),sep(lseg(x7,x10),sep(lseg(x11,x12),sep(lseg(x11,x7),sep(lseg(x11,x1),emp))))))))))))),
    inference(forward_demodulation,[],[f26,f1]) ).

fof(f26,plain,
    heap(sep(lseg(x5,x3),sep(lseg(x10,x8),sep(lseg(x1,x11),sep(lseg(x13,x8),sep(lseg(x4,x9),sep(lseg(x2,x9),sep(lseg(x12,x7),sep(lseg(x9,x2),sep(lseg(x7,x10),sep(lseg(x11,x12),sep(lseg(x11,x7),sep(lseg(x11,x1),emp))))))))))))),
    inference(backward_demodulation,[],[f24,f1]) ).

fof(f24,axiom,
    heap(sep(lseg(x5,x3),sep(lseg(x10,x8),sep(lseg(x13,x8),sep(lseg(x1,x11),sep(lseg(x4,x9),sep(lseg(x2,x9),sep(lseg(x12,x7),sep(lseg(x9,x2),sep(lseg(x7,x10),sep(lseg(x11,x12),sep(lseg(x11,x7),sep(lseg(x11,x1),emp))))))))))))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : SWW431-1 : TPTP v8.2.0. Released v5.2.0.
% 0.03/0.12  % Command    : run_vampire %s %d THM
% 0.11/0.32  % Computer : n023.cluster.edu
% 0.11/0.32  % Model    : x86_64 x86_64
% 0.11/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32  % Memory   : 8042.1875MB
% 0.11/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32  % CPULimit   : 300
% 0.11/0.32  % WCLimit    : 300
% 0.11/0.32  % DateTime   : Wed Jun 19 06:33:54 EDT 2024
% 0.11/0.32  % CPUTime    : 
% 0.11/0.34  This is a CNF_UNS_RFO_SEQ_NHN problem
% 0.11/0.34  Running first-order theorem proving
% 0.11/0.34  Running /export/starexec/sandbox2/solver/bin/vampire --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.41  % (21781)Running in auto input_syntax mode. Trying TPTP
% 0.19/0.41  % (21788)lrs+1010_1:1_to=lpo:sil=2000:sos=on:fd=off:i=117:bd=off_0 on theBenchmark for (2999ds/117Mi)
% 0.19/0.41  % (21781)Running in auto input_syntax mode. Trying TPTP
% 0.19/0.41  % (21782)ott+4_40_av=off:bce=on:fsd=off:fde=unused:nm=4:nwc=1.1:sos=all:sp=frequency:i=69040_0 on theBenchmark for (2999ds/69040Mi)
% 0.19/0.41  % (21781)Running in auto input_syntax mode. Trying TPTP
% 0.19/0.41  % (21783)lrs+1011_8:1_sil=128000:tgt=ground:fde=unused:sp=frequency:nwc=5.0:lwlo=on:i=105338:awrs=converge:awrsf=1385:av=off_0 on theBenchmark for (2999ds/105338Mi)
% 0.19/0.41  % (21781)Running in auto input_syntax mode. Trying TPTP
% 0.19/0.41  % (21786)lrs-1011_37821:262144_bsr=unit_only:sil=2000:fde=none:plsq=on:plsqr=43543,131072:bce=on:rnwc=on:plsql=on:rp=on:nwc=10.0:newcnf=on:i=109:awrs=decay:awrsf=10:ep=R:mep=off:amm=sco_0 on theBenchmark for (2999ds/109Mi)
% 0.19/0.41  % (21781)Running in auto input_syntax mode. Trying TPTP
% 0.19/0.41  % (21787)ott-1011_16:1_sil=2000:sp=const_max:urr=on:lsd=20:st=3.0:i=117:ss=axioms:gsp=on:rp=on:sos=on:fd=off:aac=none_0 on theBenchmark for (2999ds/117Mi)
% 0.19/0.41  % (21781)Running in auto input_syntax mode. Trying TPTP
% 0.19/0.41  % (21784)dis+1011_1:99_anc=none:fde=unused:plsqc=2:bsd=on:plsq=on:plsqr=109,504:sp=reverse_frequency:spb=intro:rp=on:alpa=random:s2a=on:i=257151:s2at=-1.0:aac=none:nm=16:rawr=on:sil=256000:acc=model_0 on theBenchmark for (2999ds/257151Mi)
% 0.19/0.41  % (21781)Running in auto input_syntax mode. Trying TPTP
% 0.19/0.41  % (21785)lrs+21_2461:262144_anc=none:drc=off:sil=2000:sp=occurrence:nwc=6.0:updr=off:st=3.0:i=109:sd=2:afp=4000:erml=3:nm=14:afq=2.0:uhcvi=on:ss=included:er=filter:abs=on:nicw=on:ile=on:sims=off:s2a=on:s2agt=50:s2at=-1.0:plsq=on:plsql=on:plsqc=2:plsqr=1,32:newcnf=on:bd=off:to=lpo_0 on theBenchmark for (2999ds/109Mi)
% 0.19/0.41  % (21786)Refutation not found, incomplete strategy% (21786)------------------------------
% 0.19/0.41  % (21786)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.19/0.41  % (21786)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.19/0.41  % (21786)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.41  
% 0.19/0.41  % (21786)Memory used [KB]: 1148
% 0.19/0.41  % (21786)Time elapsed: 0.003 s
% 0.19/0.41  % (21786)Instructions burned: 3 (million)
% 0.19/0.41  % (21786)------------------------------
% 0.19/0.41  % (21786)------------------------------
% 0.19/0.41  % (21782)Refutation not found, incomplete strategy% (21782)------------------------------
% 0.19/0.41  % (21782)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.19/0.41  % (21782)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.19/0.41  % (21782)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.41  
% 0.19/0.41  % (21782)Memory used [KB]: 1168
% 0.19/0.41  % (21782)Time elapsed: 0.007 s
% 0.19/0.41  % (21782)Instructions burned: 8 (million)
% 0.19/0.41  % (21782)------------------------------
% 0.19/0.41  % (21782)------------------------------
% 0.19/0.46  % (21788)Instruction limit reached!
% 0.19/0.46  % (21788)------------------------------
% 0.19/0.46  % (21788)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.19/0.46  % (21788)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.19/0.46  % (21788)Termination reason: Time limit
% 0.19/0.46  % (21788)Termination phase: Saturation
% 0.19/0.46  
% 0.19/0.46  % (21788)Memory used [KB]: 2083
% 0.19/0.46  % (21788)Time elapsed: 0.054 s
% 0.19/0.46  % (21788)Instructions burned: 119 (million)
% 0.19/0.47  % (21785)Instruction limit reached!
% 0.19/0.47  % (21785)------------------------------
% 0.19/0.47  % (21785)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.19/0.47  % (21785)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.19/0.47  % (21785)Termination reason: Time limit
% 0.19/0.47  % (21785)Termination phase: Saturation
% 0.19/0.47  
% 0.19/0.47  % (21785)Memory used [KB]: 2126
% 0.19/0.47  % (21785)Time elapsed: 0.059 s
% 0.19/0.47  % (21785)Instructions burned: 109 (million)
% 0.19/0.47  % (21781)Running in auto input_syntax mode. Trying TPTP
% 0.19/0.47  % (21789)lrs+21_1:64_drc=encompass:sil=32000:bsd=on:lma=on:spb=goal:nwc=10.0:i=123:add=large:ss=axioms:sgt=16:irw=on_0 on theBenchmark for (2999ds/123Mi)
% 0.19/0.47  % (21787)Instruction limit reached!
% 0.19/0.47  % (21787)------------------------------
% 0.19/0.47  % (21787)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.19/0.47  % (21787)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.19/0.47  % (21787)Termination reason: Time limit
% 0.19/0.47  % (21787)Termination phase: Saturation
% 0.19/0.47  
% 0.19/0.47  % (21787)Memory used [KB]: 2878
% 0.19/0.47  % (21787)Time elapsed: 0.061 s
% 0.19/0.47  % (21787)Instructions burned: 117 (million)
% 0.19/0.47  % (21781)Running in auto input_syntax mode. Trying TPTP
% 0.19/0.47  % (21790)lrs+2_1:1_sil=16000:fde=none:sos=all:nwc=5.0:i=117:ep=RS:s2pl=on:lma=on:afp=100000_0 on theBenchmark for (2999ds/117Mi)
% 0.19/0.47  % (21790)Refutation not found, incomplete strategy% (21790)------------------------------
% 0.19/0.47  % (21790)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.19/0.47  % (21790)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.19/0.47  % (21790)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.47  
% 0.19/0.47  % (21790)Memory used [KB]: 1178
% 0.19/0.47  % (21790)Time elapsed: 0.003 s
% 0.19/0.47  % (21790)Instructions burned: 7 (million)
% 0.19/0.47  % (21790)------------------------------
% 0.19/0.47  % (21790)------------------------------
% 0.19/0.49  % (21783)First to succeed.
% 0.19/0.49  % (21783)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-21781"
% 0.19/0.49  % (21781)Running in auto input_syntax mode. Trying TPTP
% 0.19/0.49  % (21783)Refutation found. Thanks to Tanya!
% 0.19/0.49  % SZS status Unsatisfiable for theBenchmark
% 0.19/0.49  % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.49  % (21783)------------------------------
% 0.19/0.49  % (21783)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.19/0.49  % (21783)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.19/0.49  % (21783)Termination reason: Refutation
% 0.19/0.49  
% 0.19/0.49  % (21783)Memory used [KB]: 2169
% 0.19/0.49  % (21783)Time elapsed: 0.082 s
% 0.19/0.49  % (21783)Instructions burned: 183 (million)
% 0.19/0.49  % (21783)------------------------------
% 0.19/0.49  % (21783)------------------------------
% 0.19/0.49  % (21781)Success in time 0.14 s
%------------------------------------------------------------------------------