TSTP Solution File: SWW437-1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SWW437-1 : TPTP v8.1.0. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s

% 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 : Wed Aug 31 19:19:24 EDT 2022

% Result   : Unsatisfiable 2.39s 0.67s
% Output   : Refutation 2.39s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   51
%            Number of leaves      :    9
% Syntax   : Number of formulae    :   68 (  59 unt;   3 typ;   0 def)
%            Number of atoms       :   74 (  25 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   17 (   8   ~;   9   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   2 avg)
%            Maximal term depth    :   13 (   3 avg)
%            Number of types       :    4 (   0 usr;   3 ari)
%            Number of type conns  :    6 (   3   >;   3   *;   0   +;   0  <<)
%            Number of predicates  :    6 (   4 usr;   1 prp; 0-2 aty)
%            Number of functors    :   15 (  15 usr;  13 con; 0-2 aty)
%            Number of variables   :   27 (  27   !;   0   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
tff(pred_def_3,type,
    sQ1_eqProxy: ( $int * $int ) > $o ).

tff(pred_def_4,type,
    sQ2_eqProxy: ( $rat * $rat ) > $o ).

tff(pred_def_5,type,
    sQ3_eqProxy: ( $real * $real ) > $o ).

fof(f545,plain,
    $false,
    inference(subsumption_resolution,[],[f544,f53]) ).

fof(f53,plain,
    x7 != x16,
    inference(literal_reordering,[],[f21]) ).

fof(f21,axiom,
    x7 != x16,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',premise_10) ).

fof(f544,plain,
    x7 = x16,
    inference(subsumption_resolution,[],[f543,f489]) ).

fof(f489,plain,
    x16 != x8,
    inference(backward_demodulation,[],[f47,f474]) ).

fof(f474,plain,
    x16 = x3,
    inference(subsumption_resolution,[],[f458,f53]) ).

fof(f458,plain,
    ( x7 = x16
    | x16 = x3 ),
    inference(resolution,[],[f198,f278]) ).

fof(f278,plain,
    heap(sep(lseg(x16,x7),sep(lseg(x7,x1),sep(lseg(x16,x3),sep(lseg(x3,x16),sep(lseg(x3,x12),sep(lseg(x11,x8),sep(lseg(x12,x8),sep(lseg(x2,x6),sep(lseg(x10,x5),sep(lseg(x5,x1),sep(lseg(x10,x15),emp)))))))))))),
    inference(forward_demodulation,[],[f277,f68]) ).

fof(f68,plain,
    ! [X2,X0,X1] : sep(X0,sep(X1,X2)) = sep(X1,sep(X0,X2)),
    inference(literal_reordering,[],[f1]) ).

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

fof(f277,plain,
    heap(sep(lseg(x16,x7),sep(lseg(x7,x1),sep(lseg(x16,x3),sep(lseg(x3,x16),sep(lseg(x3,x12),sep(lseg(x12,x8),sep(lseg(x11,x8),sep(lseg(x2,x6),sep(lseg(x10,x5),sep(lseg(x5,x1),sep(lseg(x10,x15),emp)))))))))))),
    inference(forward_demodulation,[],[f276,f68]) ).

fof(f276,plain,
    heap(sep(lseg(x16,x7),sep(lseg(x7,x1),sep(lseg(x16,x3),sep(lseg(x3,x16),sep(lseg(x3,x12),sep(lseg(x12,x8),sep(lseg(x2,x6),sep(lseg(x11,x8),sep(lseg(x10,x5),sep(lseg(x5,x1),sep(lseg(x10,x15),emp)))))))))))),
    inference(forward_demodulation,[],[f275,f68]) ).

fof(f275,plain,
    heap(sep(lseg(x16,x7),sep(lseg(x7,x1),sep(lseg(x16,x3),sep(lseg(x3,x16),sep(lseg(x3,x12),sep(lseg(x12,x8),sep(lseg(x2,x6),sep(lseg(x10,x5),sep(lseg(x11,x8),sep(lseg(x5,x1),sep(lseg(x10,x15),emp)))))))))))),
    inference(forward_demodulation,[],[f274,f68]) ).

fof(f274,plain,
    heap(sep(lseg(x16,x7),sep(lseg(x7,x1),sep(lseg(x16,x3),sep(lseg(x3,x16),sep(lseg(x3,x12),sep(lseg(x12,x8),sep(lseg(x2,x6),sep(lseg(x10,x5),sep(lseg(x5,x1),sep(lseg(x11,x8),sep(lseg(x10,x15),emp)))))))))))),
    inference(forward_demodulation,[],[f273,f68]) ).

fof(f273,plain,
    heap(sep(lseg(x16,x7),sep(lseg(x7,x1),sep(lseg(x16,x3),sep(lseg(x3,x16),sep(lseg(x3,x12),sep(lseg(x12,x8),sep(lseg(x2,x6),sep(lseg(x10,x5),sep(lseg(x5,x1),sep(lseg(x10,x15),sep(lseg(x11,x8),emp)))))))))))),
    inference(forward_demodulation,[],[f272,f68]) ).

fof(f272,plain,
    heap(sep(lseg(x16,x7),sep(lseg(x7,x1),sep(lseg(x16,x3),sep(lseg(x3,x12),sep(lseg(x3,x16),sep(lseg(x12,x8),sep(lseg(x2,x6),sep(lseg(x10,x5),sep(lseg(x5,x1),sep(lseg(x10,x15),sep(lseg(x11,x8),emp)))))))))))),
    inference(forward_demodulation,[],[f271,f68]) ).

fof(f271,plain,
    heap(sep(lseg(x16,x7),sep(lseg(x7,x1),sep(lseg(x16,x3),sep(lseg(x3,x12),sep(lseg(x12,x8),sep(lseg(x3,x16),sep(lseg(x2,x6),sep(lseg(x10,x5),sep(lseg(x5,x1),sep(lseg(x10,x15),sep(lseg(x11,x8),emp)))))))))))),
    inference(forward_demodulation,[],[f270,f68]) ).

fof(f270,plain,
    heap(sep(lseg(x16,x7),sep(lseg(x7,x1),sep(lseg(x16,x3),sep(lseg(x3,x12),sep(lseg(x12,x8),sep(lseg(x2,x6),sep(lseg(x3,x16),sep(lseg(x10,x5),sep(lseg(x5,x1),sep(lseg(x10,x15),sep(lseg(x11,x8),emp)))))))))))),
    inference(forward_demodulation,[],[f269,f68]) ).

fof(f269,plain,
    heap(sep(lseg(x16,x7),sep(lseg(x7,x1),sep(lseg(x16,x3),sep(lseg(x3,x12),sep(lseg(x12,x8),sep(lseg(x2,x6),sep(lseg(x10,x5),sep(lseg(x3,x16),sep(lseg(x5,x1),sep(lseg(x10,x15),sep(lseg(x11,x8),emp)))))))))))),
    inference(forward_demodulation,[],[f268,f68]) ).

fof(f268,plain,
    heap(sep(lseg(x16,x7),sep(lseg(x7,x1),sep(lseg(x16,x3),sep(lseg(x3,x12),sep(lseg(x12,x8),sep(lseg(x2,x6),sep(lseg(x10,x5),sep(lseg(x5,x1),sep(lseg(x3,x16),sep(lseg(x10,x15),sep(lseg(x11,x8),emp)))))))))))),
    inference(forward_demodulation,[],[f267,f68]) ).

fof(f267,plain,
    heap(sep(lseg(x16,x7),sep(lseg(x7,x1),sep(lseg(x16,x3),sep(lseg(x3,x12),sep(lseg(x12,x8),sep(lseg(x2,x6),sep(lseg(x10,x5),sep(lseg(x5,x1),sep(lseg(x10,x15),sep(lseg(x3,x16),sep(lseg(x11,x8),emp)))))))))))),
    inference(forward_demodulation,[],[f266,f68]) ).

fof(f266,plain,
    heap(sep(lseg(x16,x7),sep(lseg(x7,x1),sep(lseg(x16,x3),sep(lseg(x12,x8),sep(lseg(x3,x12),sep(lseg(x2,x6),sep(lseg(x10,x5),sep(lseg(x5,x1),sep(lseg(x10,x15),sep(lseg(x3,x16),sep(lseg(x11,x8),emp)))))))))))),
    inference(forward_demodulation,[],[f265,f68]) ).

fof(f265,plain,
    heap(sep(lseg(x16,x7),sep(lseg(x7,x1),sep(lseg(x16,x3),sep(lseg(x12,x8),sep(lseg(x2,x6),sep(lseg(x3,x12),sep(lseg(x10,x5),sep(lseg(x5,x1),sep(lseg(x10,x15),sep(lseg(x3,x16),sep(lseg(x11,x8),emp)))))))))))),
    inference(forward_demodulation,[],[f264,f68]) ).

fof(f264,plain,
    heap(sep(lseg(x16,x7),sep(lseg(x7,x1),sep(lseg(x16,x3),sep(lseg(x12,x8),sep(lseg(x2,x6),sep(lseg(x10,x5),sep(lseg(x3,x12),sep(lseg(x5,x1),sep(lseg(x10,x15),sep(lseg(x3,x16),sep(lseg(x11,x8),emp)))))))))))),
    inference(forward_demodulation,[],[f263,f68]) ).

fof(f263,plain,
    heap(sep(lseg(x16,x7),sep(lseg(x7,x1),sep(lseg(x16,x3),sep(lseg(x12,x8),sep(lseg(x2,x6),sep(lseg(x10,x5),sep(lseg(x5,x1),sep(lseg(x3,x12),sep(lseg(x10,x15),sep(lseg(x3,x16),sep(lseg(x11,x8),emp)))))))))))),
    inference(forward_demodulation,[],[f262,f68]) ).

fof(f262,plain,
    heap(sep(lseg(x16,x7),sep(lseg(x7,x1),sep(lseg(x16,x3),sep(lseg(x12,x8),sep(lseg(x2,x6),sep(lseg(x10,x5),sep(lseg(x5,x1),sep(lseg(x10,x15),sep(lseg(x3,x12),sep(lseg(x3,x16),sep(lseg(x11,x8),emp)))))))))))),
    inference(forward_demodulation,[],[f261,f68]) ).

fof(f261,plain,
    heap(sep(lseg(x16,x7),sep(lseg(x16,x3),sep(lseg(x7,x1),sep(lseg(x12,x8),sep(lseg(x2,x6),sep(lseg(x10,x5),sep(lseg(x5,x1),sep(lseg(x10,x15),sep(lseg(x3,x12),sep(lseg(x3,x16),sep(lseg(x11,x8),emp)))))))))))),
    inference(forward_demodulation,[],[f260,f68]) ).

fof(f260,plain,
    heap(sep(lseg(x16,x7),sep(lseg(x16,x3),sep(lseg(x12,x8),sep(lseg(x7,x1),sep(lseg(x2,x6),sep(lseg(x10,x5),sep(lseg(x5,x1),sep(lseg(x10,x15),sep(lseg(x3,x12),sep(lseg(x3,x16),sep(lseg(x11,x8),emp)))))))))))),
    inference(forward_demodulation,[],[f259,f68]) ).

fof(f259,plain,
    heap(sep(lseg(x16,x7),sep(lseg(x16,x3),sep(lseg(x12,x8),sep(lseg(x2,x6),sep(lseg(x7,x1),sep(lseg(x10,x5),sep(lseg(x5,x1),sep(lseg(x10,x15),sep(lseg(x3,x12),sep(lseg(x3,x16),sep(lseg(x11,x8),emp)))))))))))),
    inference(forward_demodulation,[],[f258,f68]) ).

fof(f258,plain,
    heap(sep(lseg(x16,x7),sep(lseg(x16,x3),sep(lseg(x12,x8),sep(lseg(x2,x6),sep(lseg(x10,x5),sep(lseg(x7,x1),sep(lseg(x5,x1),sep(lseg(x10,x15),sep(lseg(x3,x12),sep(lseg(x3,x16),sep(lseg(x11,x8),emp)))))))))))),
    inference(forward_demodulation,[],[f257,f68]) ).

fof(f257,plain,
    heap(sep(lseg(x16,x7),sep(lseg(x16,x3),sep(lseg(x12,x8),sep(lseg(x2,x6),sep(lseg(x10,x5),sep(lseg(x5,x1),sep(lseg(x7,x1),sep(lseg(x10,x15),sep(lseg(x3,x12),sep(lseg(x3,x16),sep(lseg(x11,x8),emp)))))))))))),
    inference(forward_demodulation,[],[f256,f68]) ).

fof(f256,plain,
    heap(sep(lseg(x16,x7),sep(lseg(x16,x3),sep(lseg(x12,x8),sep(lseg(x2,x6),sep(lseg(x10,x5),sep(lseg(x5,x1),sep(lseg(x10,x15),sep(lseg(x7,x1),sep(lseg(x3,x12),sep(lseg(x3,x16),sep(lseg(x11,x8),emp)))))))))))),
    inference(forward_demodulation,[],[f255,f68]) ).

fof(f255,plain,
    heap(sep(lseg(x16,x7),sep(lseg(x16,x3),sep(lseg(x12,x8),sep(lseg(x2,x6),sep(lseg(x5,x1),sep(lseg(x10,x5),sep(lseg(x10,x15),sep(lseg(x7,x1),sep(lseg(x3,x12),sep(lseg(x3,x16),sep(lseg(x11,x8),emp)))))))))))),
    inference(forward_demodulation,[],[f254,f68]) ).

fof(f254,plain,
    heap(sep(lseg(x16,x7),sep(lseg(x16,x3),sep(lseg(x12,x8),sep(lseg(x2,x6),sep(lseg(x5,x1),sep(lseg(x10,x15),sep(lseg(x10,x5),sep(lseg(x7,x1),sep(lseg(x3,x12),sep(lseg(x3,x16),sep(lseg(x11,x8),emp)))))))))))),
    inference(forward_demodulation,[],[f253,f68]) ).

fof(f253,plain,
    heap(sep(lseg(x16,x7),sep(lseg(x12,x8),sep(lseg(x16,x3),sep(lseg(x2,x6),sep(lseg(x5,x1),sep(lseg(x10,x15),sep(lseg(x10,x5),sep(lseg(x7,x1),sep(lseg(x3,x12),sep(lseg(x3,x16),sep(lseg(x11,x8),emp)))))))))))),
    inference(forward_demodulation,[],[f252,f68]) ).

fof(f252,plain,
    heap(sep(lseg(x16,x7),sep(lseg(x12,x8),sep(lseg(x2,x6),sep(lseg(x16,x3),sep(lseg(x5,x1),sep(lseg(x10,x15),sep(lseg(x10,x5),sep(lseg(x7,x1),sep(lseg(x3,x12),sep(lseg(x3,x16),sep(lseg(x11,x8),emp)))))))))))),
    inference(forward_demodulation,[],[f251,f68]) ).

fof(f251,plain,
    heap(sep(lseg(x16,x7),sep(lseg(x12,x8),sep(lseg(x2,x6),sep(lseg(x5,x1),sep(lseg(x16,x3),sep(lseg(x10,x15),sep(lseg(x10,x5),sep(lseg(x7,x1),sep(lseg(x3,x12),sep(lseg(x3,x16),sep(lseg(x11,x8),emp)))))))))))),
    inference(forward_demodulation,[],[f250,f68]) ).

fof(f250,plain,
    heap(sep(lseg(x12,x8),sep(lseg(x16,x7),sep(lseg(x2,x6),sep(lseg(x5,x1),sep(lseg(x16,x3),sep(lseg(x10,x15),sep(lseg(x10,x5),sep(lseg(x7,x1),sep(lseg(x3,x12),sep(lseg(x3,x16),sep(lseg(x11,x8),emp)))))))))))),
    inference(forward_demodulation,[],[f249,f68]) ).

fof(f249,plain,
    heap(sep(lseg(x12,x8),sep(lseg(x2,x6),sep(lseg(x16,x7),sep(lseg(x5,x1),sep(lseg(x16,x3),sep(lseg(x10,x15),sep(lseg(x10,x5),sep(lseg(x7,x1),sep(lseg(x3,x12),sep(lseg(x3,x16),sep(lseg(x11,x8),emp)))))))))))),
    inference(forward_demodulation,[],[f248,f68]) ).

fof(f248,plain,
    heap(sep(lseg(x12,x8),sep(lseg(x2,x6),sep(lseg(x5,x1),sep(lseg(x16,x7),sep(lseg(x16,x3),sep(lseg(x10,x15),sep(lseg(x10,x5),sep(lseg(x7,x1),sep(lseg(x3,x12),sep(lseg(x3,x16),sep(lseg(x11,x8),emp)))))))))))),
    inference(forward_demodulation,[],[f247,f68]) ).

fof(f247,plain,
    heap(sep(lseg(x12,x8),sep(lseg(x5,x1),sep(lseg(x2,x6),sep(lseg(x16,x7),sep(lseg(x16,x3),sep(lseg(x10,x15),sep(lseg(x10,x5),sep(lseg(x7,x1),sep(lseg(x3,x12),sep(lseg(x3,x16),sep(lseg(x11,x8),emp)))))))))))),
    inference(forward_demodulation,[],[f48,f68]) ).

fof(f48,plain,
    heap(sep(lseg(x5,x1),sep(lseg(x12,x8),sep(lseg(x2,x6),sep(lseg(x16,x7),sep(lseg(x16,x3),sep(lseg(x10,x15),sep(lseg(x10,x5),sep(lseg(x7,x1),sep(lseg(x3,x12),sep(lseg(x3,x16),sep(lseg(x11,x8),emp)))))))))))),
    inference(literal_reordering,[],[f38]) ).

fof(f38,axiom,
    heap(sep(lseg(x5,x1),sep(lseg(x12,x8),sep(lseg(x2,x6),sep(lseg(x16,x7),sep(lseg(x16,x3),sep(lseg(x10,x15),sep(lseg(x10,x5),sep(lseg(x7,x1),sep(lseg(x3,x12),sep(lseg(x3,x16),sep(lseg(x11,x8),emp)))))))))))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',premise_27) ).

fof(f198,plain,
    ! [X3,X6,X7,X4,X5] :
      ( ~ heap(sep(lseg(X3,X7),sep(X5,sep(lseg(X3,X4),X6))))
      | X3 = X7
      | X3 = X4 ),
    inference(superposition,[],[f72,f68]) ).

fof(f72,plain,
    ! [X2,X3,X4,X5] :
      ( ~ heap(sep(lseg(X3,X4),sep(lseg(X3,X5),X2)))
      | X3 = X5
      | X3 = X4 ),
    inference(literal_reordering,[],[f7]) ).

fof(f7,axiom,
    ! [X2,X3,X4,X5] :
      ( X3 = X4
      | X3 = X5
      | ~ heap(sep(lseg(X3,X4),sep(lseg(X3,X5),X2))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',wellformedness_5) ).

fof(f47,plain,
    x3 != x8,
    inference(literal_reordering,[],[f17]) ).

fof(f17,axiom,
    x3 != x8,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',premise_6) ).

fof(f543,plain,
    ( x16 = x8
    | x7 = x16 ),
    inference(resolution,[],[f541,f198]) ).

fof(f541,plain,
    heap(sep(lseg(x16,x7),sep(lseg(x7,x1),sep(lseg(x16,x8),sep(lseg(x11,x8),sep(lseg(x2,x6),sep(lseg(x10,x5),sep(lseg(x5,x1),sep(lseg(x10,x15),emp))))))))),
    inference(forward_demodulation,[],[f540,f68]) ).

fof(f540,plain,
    heap(sep(lseg(x7,x1),sep(lseg(x16,x7),sep(lseg(x16,x8),sep(lseg(x11,x8),sep(lseg(x2,x6),sep(lseg(x10,x5),sep(lseg(x5,x1),sep(lseg(x10,x15),emp))))))))),
    inference(forward_demodulation,[],[f539,f167]) ).

fof(f167,plain,
    ! [X3,X6,X4,X5] : sep(X6,sep(X4,sep(X3,X5))) = sep(X3,sep(X6,sep(X4,X5))),
    inference(superposition,[],[f68,f68]) ).

fof(f539,plain,
    heap(sep(lseg(x16,x7),sep(lseg(x16,x8),sep(lseg(x7,x1),sep(lseg(x11,x8),sep(lseg(x2,x6),sep(lseg(x10,x5),sep(lseg(x5,x1),sep(lseg(x10,x15),emp))))))))),
    inference(forward_demodulation,[],[f538,f167]) ).

fof(f538,plain,
    heap(sep(lseg(x16,x7),sep(lseg(x7,x1),sep(lseg(x11,x8),sep(lseg(x16,x8),sep(lseg(x2,x6),sep(lseg(x10,x5),sep(lseg(x5,x1),sep(lseg(x10,x15),emp))))))))),
    inference(forward_demodulation,[],[f537,f54]) ).

fof(f54,plain,
    ! [X2,X3] : sep(lseg(X3,X3),X2) = X2,
    inference(literal_reordering,[],[f2]) ).

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

fof(f537,plain,
    heap(sep(lseg(x16,x16),sep(lseg(x16,x7),sep(lseg(x7,x1),sep(lseg(x11,x8),sep(lseg(x16,x8),sep(lseg(x2,x6),sep(lseg(x10,x5),sep(lseg(x5,x1),sep(lseg(x10,x15),emp)))))))))),
    inference(forward_demodulation,[],[f532,f167]) ).

fof(f532,plain,
    heap(sep(lseg(x16,x7),sep(lseg(x7,x1),sep(lseg(x16,x16),sep(lseg(x11,x8),sep(lseg(x16,x8),sep(lseg(x2,x6),sep(lseg(x10,x5),sep(lseg(x5,x1),sep(lseg(x10,x15),emp)))))))))),
    inference(backward_demodulation,[],[f494,f499]) ).

fof(f499,plain,
    x16 = x12,
    inference(subsumption_resolution,[],[f498,f53]) ).

fof(f498,plain,
    ( x16 = x12
    | x7 = x16 ),
    inference(resolution,[],[f494,f198]) ).

fof(f494,plain,
    heap(sep(lseg(x16,x7),sep(lseg(x7,x1),sep(lseg(x16,x12),sep(lseg(x11,x8),sep(lseg(x12,x8),sep(lseg(x2,x6),sep(lseg(x10,x5),sep(lseg(x5,x1),sep(lseg(x10,x15),emp)))))))))),
    inference(forward_demodulation,[],[f493,f54]) ).

fof(f493,plain,
    heap(sep(lseg(x16,x16),sep(lseg(x16,x7),sep(lseg(x7,x1),sep(lseg(x16,x12),sep(lseg(x11,x8),sep(lseg(x12,x8),sep(lseg(x2,x6),sep(lseg(x10,x5),sep(lseg(x5,x1),sep(lseg(x10,x15),emp))))))))))),
    inference(forward_demodulation,[],[f492,f167]) ).

fof(f492,plain,
    heap(sep(lseg(x16,x7),sep(lseg(x7,x1),sep(lseg(x16,x16),sep(lseg(x16,x12),sep(lseg(x11,x8),sep(lseg(x12,x8),sep(lseg(x2,x6),sep(lseg(x10,x5),sep(lseg(x5,x1),sep(lseg(x10,x15),emp))))))))))),
    inference(forward_demodulation,[],[f491,f54]) ).

fof(f491,plain,
    heap(sep(lseg(x16,x16),sep(lseg(x16,x7),sep(lseg(x7,x1),sep(lseg(x16,x16),sep(lseg(x16,x12),sep(lseg(x11,x8),sep(lseg(x12,x8),sep(lseg(x2,x6),sep(lseg(x10,x5),sep(lseg(x5,x1),sep(lseg(x10,x15),emp)))))))))))),
    inference(forward_demodulation,[],[f485,f167]) ).

fof(f485,plain,
    heap(sep(lseg(x16,x7),sep(lseg(x7,x1),sep(lseg(x16,x16),sep(lseg(x16,x16),sep(lseg(x16,x12),sep(lseg(x11,x8),sep(lseg(x12,x8),sep(lseg(x2,x6),sep(lseg(x10,x5),sep(lseg(x5,x1),sep(lseg(x10,x15),emp)))))))))))),
    inference(backward_demodulation,[],[f278,f474]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : SWW437-1 : TPTP v8.1.0. Released v5.2.0.
% 0.07/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 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   : Tue Aug 30 20:29:59 EDT 2022
% 0.13/0.34  % CPUTime    : 
% 0.21/0.54  % (29649)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.21/0.55  % (29647)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 1.37/0.55  % (29670)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 1.69/0.57  % (29655)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.69/0.57  % (29651)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.69/0.57  % (29645)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 1.69/0.58  % (29665)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 1.69/0.58  % (29657)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 1.69/0.58  % (29648)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.69/0.58  % (29659)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 1.69/0.58  % (29646)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.69/0.59  % (29656)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.69/0.59  TRYING [1]
% 1.69/0.59  TRYING [2]
% 1.69/0.59  % (29653)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 1.69/0.60  % (29653)Instruction limit reached!
% 1.69/0.60  % (29653)------------------------------
% 1.69/0.60  % (29653)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.69/0.60  % (29653)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.69/0.60  % (29653)Termination reason: Unknown
% 1.69/0.60  % (29653)Termination phase: Property scanning
% 1.69/0.60  
% 1.69/0.60  % (29653)Memory used [KB]: 895
% 1.69/0.60  % (29653)Time elapsed: 0.002 s
% 1.69/0.60  % (29653)Instructions burned: 2 (million)
% 1.69/0.60  % (29653)------------------------------
% 1.69/0.60  % (29653)------------------------------
% 1.69/0.60  % (29668)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 1.69/0.60  TRYING [1]
% 1.69/0.60  TRYING [2]
% 1.69/0.60  % (29669)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 1.69/0.60  % (29660)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 1.69/0.60  % (29674)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 1.69/0.61  % (29672)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 1.69/0.61  % (29664)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.69/0.61  % (29647)Instruction limit reached!
% 1.69/0.61  % (29647)------------------------------
% 1.69/0.61  % (29647)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.69/0.61  % (29650)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 1.69/0.61  % (29654)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.69/0.61  % (29673)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 1.69/0.61  % (29661)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.69/0.61  % (29647)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.69/0.61  % (29647)Termination reason: Unknown
% 1.69/0.61  % (29647)Termination phase: Saturation
% 1.69/0.61  
% 1.69/0.61  % (29647)Memory used [KB]: 1535
% 1.69/0.61  % (29647)Time elapsed: 0.172 s
% 1.69/0.61  % (29647)Instructions burned: 38 (million)
% 1.69/0.61  % (29647)------------------------------
% 1.69/0.61  % (29647)------------------------------
% 1.69/0.62  % (29658)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.69/0.62  % (29666)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 1.69/0.62  % (29652)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.69/0.62  TRYING [3]
% 1.69/0.62  % (29671)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 1.69/0.63  % (29662)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 1.69/0.63  TRYING [3]
% 1.69/0.63  TRYING [1]
% 1.69/0.63  TRYING [2]
% 1.69/0.63  % (29663)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.69/0.63  % (29667)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 1.69/0.64  % (29649)Instruction limit reached!
% 1.69/0.64  % (29649)------------------------------
% 1.69/0.64  % (29649)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.69/0.64  % (29649)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.69/0.64  % (29649)Termination reason: Unknown
% 1.69/0.64  % (29649)Termination phase: Saturation
% 1.69/0.64  
% 1.69/0.64  % (29649)Memory used [KB]: 6524
% 1.69/0.64  % (29649)Time elapsed: 0.205 s
% 1.69/0.64  % (29649)Instructions burned: 52 (million)
% 1.69/0.64  % (29649)------------------------------
% 1.69/0.64  % (29649)------------------------------
% 1.69/0.65  % (29652)Instruction limit reached!
% 1.69/0.65  % (29652)------------------------------
% 1.69/0.65  % (29652)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.69/0.65  % (29652)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.69/0.65  % (29652)Termination reason: Unknown
% 1.69/0.65  % (29652)Termination phase: Saturation
% 1.69/0.65  
% 1.69/0.65  % (29652)Memory used [KB]: 5500
% 1.69/0.65  % (29652)Time elapsed: 0.151 s
% 1.69/0.65  % (29652)Instructions burned: 8 (million)
% 1.69/0.65  % (29652)------------------------------
% 1.69/0.65  % (29652)------------------------------
% 1.69/0.65  % (29655)Instruction limit reached!
% 1.69/0.65  % (29655)------------------------------
% 1.69/0.65  % (29655)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.69/0.65  % (29655)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.69/0.65  % (29655)Termination reason: Unknown
% 1.69/0.65  % (29655)Termination phase: Saturation
% 1.69/0.65  
% 1.69/0.65  % (29655)Memory used [KB]: 6524
% 1.69/0.65  % (29655)Time elapsed: 0.222 s
% 1.69/0.65  % (29655)Instructions burned: 51 (million)
% 1.69/0.65  % (29655)------------------------------
% 1.69/0.65  % (29655)------------------------------
% 2.39/0.66  TRYING [3]
% 2.39/0.67  % (29659)First to succeed.
% 2.39/0.67  % (29659)Refutation found. Thanks to Tanya!
% 2.39/0.67  % SZS status Unsatisfiable for theBenchmark
% 2.39/0.67  % SZS output start Proof for theBenchmark
% See solution above
% 2.39/0.67  % (29659)------------------------------
% 2.39/0.67  % (29659)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.39/0.67  % (29659)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.39/0.67  % (29659)Termination reason: Refutation
% 2.39/0.67  
% 2.39/0.67  % (29659)Memory used [KB]: 6524
% 2.39/0.67  % (29659)Time elapsed: 0.030 s
% 2.39/0.67  % (29659)Instructions burned: 34 (million)
% 2.39/0.67  % (29659)------------------------------
% 2.39/0.67  % (29659)------------------------------
% 2.39/0.67  % (29644)Success in time 0.319 s
%------------------------------------------------------------------------------