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FindProof---0.1.UNS-Prf.s

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%------------------------------------------------------------------------------
% File     : FindProof---0.1
% Problem  : SWW445-1 : TPTP v9.3.1. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300

% Computer : n020.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Fri Sep 25 03:27:07 PM UTC 2026

% Result   : Unsatisfiable 123.56s 16.27s
% Output   : Proof 123.56s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :  117
%            Number of leaves      :   28
% Syntax   : Number of formulae    :  246 ( 242 unt;   0 def)
%            Number of atoms       :  254 ( 238 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   94 (  86   ~;   8   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   1 avg)
%            Maximal term depth    :   16 (   3 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :   30 (  30 usr;  24 con; 0-4 aty)
%            Number of variables   :  178 (  60 sgn  30   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
cnf(f6,axiom,
    ( X = Z
    | X = Y
    | ~ heap(sep(lseg(X,Y),sep(lseg(X,Z),Sigma))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',wellformedness_5) ).

fof(f6_nnf,plain,
    ! [X,Y,Z,Sigma] :
      ( X = Z
      | X = Y
      | ~ heap(sep(lseg(X,Y),sep(lseg(X,Z),Sigma))) ),
    inference(nnf_transformation,[status(thm)],[f6]) ).

fof(f6_sk,plain,
    ! [X,Y,Z,Sigma] :
      ( X = Z
      | X = Y
      | ~ heap(sep(lseg(X,Y),sep(lseg(X,Z),Sigma))) ),
    inference(skolemisation,[status(esa)],[f6_nnf]) ).

cnf(c6,plain,
    ( X0 = X2
    | X0 = X1
    | ~ heap(sep(lseg(X0,X1),sep(lseg(X0,X2),X3))) ),
    inference(cnf_transformation,[status(esa)],[f6_sk]) ).

cnf(t52,plain,
    ifeq(heap(sep(lseg(X1,X2),sep(lseg(X1,X3),X4))),true,or(eq(X1,X2),eq(X1,X3)),true) = true,
    inference(equality_encoding,[status(esa)],[c6]) ).

cnf(t78,plain,
    ifeq(heap(sep(lseg(X1,X2),sep(lseg(X1,X3),X4))),true,or(eq(X1,X2),eq(X1,X3)),true) = true,
    inference(orient,[status(thm)],[t52]) ).

cnf(f0,axiom,
    sep(S,sep(T,Sigma)) = sep(T,sep(S,Sigma)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',associative_commutative) ).

fof(f0_nnf,plain,
    ! [S,T,Sigma] : sep(S,sep(T,Sigma)) = sep(T,sep(S,Sigma)),
    inference(nnf_transformation,[status(thm)],[f0]) ).

fof(f0_sk,plain,
    ! [S,T,Sigma] : sep(S,sep(T,Sigma)) = sep(T,sep(S,Sigma)),
    inference(skolemisation,[status(esa)],[f0_nnf]) ).

cnf(c0,plain,
    sep(X0,sep(X1,X2)) = sep(X1,sep(X0,X2)),
    inference(cnf_transformation,[status(esa)],[f0_sk]) ).

cnf(t45,plain,
    sep(X1,sep(X2,X3)) = sep(X2,sep(X1,X3)),
    inference(equality_encoding,[status(esa)],[c0]) ).

cnf(t113,plain,
    sep(X1,sep(X2,X3)) = sep(X2,sep(X1,X3)),
    inference(orient,[status(thm)],[t45]) ).

cnf(t121,plain,
    true = ifeq(heap(sep(lseg(X1,X2),sep(lseg(X1,X3),X4))),true,or(eq(X1,X3),eq(X1,X2)),true),
    inference(cp,[status(thm)],[t78,t113]) ).

cnf(t1270,plain,
    ifeq(heap(sep(lseg(X1,X2),sep(lseg(X1,X3),X4))),true,or(eq(X1,X3),eq(X1,X2)),true) = true,
    inference(orient,[status(thm)],[t121]) ).

cnf(t1271,plain,
    true = ifeq(heap(sep(lseg(X1,X2),sep(X3,sep(lseg(X1,X4),X5)))),true,or(eq(X1,X4),eq(X1,X2)),true),
    inference(cp,[status(thm)],[t1270,t113]) ).

cnf(t18336,plain,
    true = ifeq(heap(sep(X3,sep(lseg(X1,X2),sep(lseg(X1,X4),X5)))),true,or(eq(X1,X4),eq(X1,X2)),true),
    inference(step,[status(thm)],[t1271,t113]) ).

cnf(t1726,plain,
    ifeq(heap(sep(X1,sep(lseg(X2,X3),sep(lseg(X2,X4),X5)))),true,or(eq(X2,X4),eq(X2,X3)),true) = true,
    inference(orient,[status(thm)],[t18336]) ).

cnf(t1728,plain,
    true = ifeq(heap(sep(X1,sep(lseg(X2,X3),sep(X4,sep(lseg(X2,X5),Y5))))),true,or(eq(X2,X5),eq(X2,X3)),true),
    inference(cp,[status(thm)],[t1726,t113]) ).

cnf(t18502,plain,
    true = ifeq(heap(sep(X1,sep(X4,sep(lseg(X2,X3),sep(lseg(X2,X5),Y5))))),true,or(eq(X2,X5),eq(X2,X3)),true),
    inference(step,[status(thm)],[t1728,t113]) ).

cnf(t2753,plain,
    ifeq(heap(sep(X1,sep(X2,sep(lseg(X3,X4),sep(lseg(X3,X5),Y5))))),true,or(eq(X3,X5),eq(X3,X4)),true) = true,
    inference(orient,[status(thm)],[t18502]) ).

cnf(t2755,plain,
    true = ifeq(heap(sep(X1,sep(X2,sep(lseg(X3,X4),sep(X5,sep(lseg(X3,Y5),Y6)))))),true,or(eq(X3,Y5),eq(X3,X4)),true),
    inference(cp,[status(thm)],[t2753,t113]) ).

cnf(t18554,plain,
    true = ifeq(heap(sep(X1,sep(X2,sep(X5,sep(lseg(X3,X4),sep(lseg(X3,Y5),Y6)))))),true,or(eq(X3,Y5),eq(X3,X4)),true),
    inference(step,[status(thm)],[t2755,t113]) ).

cnf(t3244,plain,
    ifeq(heap(sep(X1,sep(X2,sep(X3,sep(lseg(X4,X5),sep(lseg(X4,Y5),Y6)))))),true,or(eq(X4,Y5),eq(X4,X5)),true) = true,
    inference(orient,[status(thm)],[t18554]) ).

cnf(t3246,plain,
    true = ifeq(heap(sep(X1,sep(X2,sep(X3,sep(lseg(X4,X5),sep(Y5,sep(lseg(X4,Y6),Y7))))))),true,or(eq(X4,Y6),eq(X4,X5)),true),
    inference(cp,[status(thm)],[t3244,t113]) ).

cnf(t18985,plain,
    true = ifeq(heap(sep(X1,sep(X2,sep(X3,sep(Y5,sep(lseg(X4,X5),sep(lseg(X4,Y6),Y7))))))),true,or(eq(X4,Y6),eq(X4,X5)),true),
    inference(step,[status(thm)],[t3246,t113]) ).

cnf(t5408,plain,
    ifeq(heap(sep(X1,sep(X2,sep(X3,sep(X4,sep(lseg(X5,Y5),sep(lseg(X5,Y6),Y7))))))),true,or(eq(X5,Y6),eq(X5,Y5)),true) = true,
    inference(orient,[status(thm)],[t18985]) ).

cnf(f29,hypothesis,
    heap(sep(lseg(x5,x17),sep(lseg(x19,x1),sep(lseg(x4,x12),sep(lseg(x12,x20),sep(lseg(x12,x15),sep(lseg(x12,x11),sep(lseg(x2,x18),sep(lseg(x17,x14),sep(lseg(x7,x16),sep(lseg(x3,x20),sep(lseg(x3,x12),sep(lseg(x11,x12),sep(lseg(x6,x17),sep(lseg(x6,x19),emp))))))))))))))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',premise_19) ).

fof(f29_nnf,plain,
    heap(sep(lseg(x5,x17),sep(lseg(x19,x1),sep(lseg(x4,x12),sep(lseg(x12,x20),sep(lseg(x12,x15),sep(lseg(x12,x11),sep(lseg(x2,x18),sep(lseg(x17,x14),sep(lseg(x7,x16),sep(lseg(x3,x20),sep(lseg(x3,x12),sep(lseg(x11,x12),sep(lseg(x6,x17),sep(lseg(x6,x19),emp))))))))))))))),
    inference(nnf_transformation,[status(thm)],[f29]) ).

cnf(c29,plain,
    heap(sep(lseg(x5,x17),sep(lseg(x19,x1),sep(lseg(x4,x12),sep(lseg(x12,x20),sep(lseg(x12,x15),sep(lseg(x12,x11),sep(lseg(x2,x18),sep(lseg(x17,x14),sep(lseg(x7,x16),sep(lseg(x3,x20),sep(lseg(x3,x12),sep(lseg(x11,x12),sep(lseg(x6,x17),sep(lseg(x6,x19),emp))))))))))))))),
    inference(cnf_transformation,[status(esa)],[f29_nnf]) ).

cnf(t56,plain,
    heap(sep(lseg(x5,x17),sep(lseg(x19,x1),sep(lseg(x4,x12),sep(lseg(x12,x20),sep(lseg(x12,x15),sep(lseg(x12,x11),sep(lseg(x2,x18),sep(lseg(x17,x14),sep(lseg(x7,x16),sep(lseg(x3,x20),sep(lseg(x3,x12),sep(lseg(x11,x12),sep(lseg(x6,x17),sep(lseg(x6,x19),emp))))))))))))))) = true,
    inference(equality_encoding,[status(esa)],[c29]) ).

cnf(t109,plain,
    heap(sep(lseg(x5,x17),sep(lseg(x19,x1),sep(lseg(x4,x12),sep(lseg(x12,x20),sep(lseg(x12,x15),sep(lseg(x12,x11),sep(lseg(x2,x18),sep(lseg(x17,x14),sep(lseg(x7,x16),sep(lseg(x3,x20),sep(lseg(x3,x12),sep(lseg(x11,x12),sep(lseg(x6,x17),sep(lseg(x6,x19),emp))))))))))))))) = true,
    inference(orient,[status(thm)],[t56]) ).

cnf(t133,plain,
    heap(sep(lseg(x5,x17),sep(lseg(x19,x1),sep(lseg(x4,x12),sep(lseg(x12,x20),sep(lseg(x12,x15),sep(lseg(x12,x11),sep(lseg(x2,x18),sep(lseg(x17,x14),sep(lseg(x7,x16),sep(lseg(x3,x20),sep(lseg(x3,x12),sep(lseg(x11,x12),sep(lseg(x6,x17),sep(lseg(x6,x19),emp))))))))))))))) = true,
    inference(rw,[status(thm)],[t109]) ).

cnf(t18612,plain,
    heap(sep(lseg(x5,x17),sep(lseg(x4,x12),sep(lseg(x19,x1),sep(lseg(x12,x20),sep(lseg(x12,x15),sep(lseg(x12,x11),sep(lseg(x2,x18),sep(lseg(x17,x14),sep(lseg(x7,x16),sep(lseg(x3,x20),sep(lseg(x3,x12),sep(lseg(x11,x12),sep(lseg(x6,x17),sep(lseg(x6,x19),emp))))))))))))))) = true,
    inference(step,[status(thm)],[t133,t113]) ).

cnf(t18613,plain,
    heap(sep(lseg(x5,x17),sep(lseg(x4,x12),sep(lseg(x19,x1),sep(lseg(x12,x20),sep(lseg(x12,x15),sep(lseg(x2,x18),sep(lseg(x12,x11),sep(lseg(x17,x14),sep(lseg(x7,x16),sep(lseg(x3,x20),sep(lseg(x3,x12),sep(lseg(x11,x12),sep(lseg(x6,x17),sep(lseg(x6,x19),emp))))))))))))))) = true,
    inference(step,[status(thm)],[t18612,t113]) ).

cnf(t18614,plain,
    heap(sep(lseg(x5,x17),sep(lseg(x4,x12),sep(lseg(x19,x1),sep(lseg(x12,x20),sep(lseg(x2,x18),sep(lseg(x12,x15),sep(lseg(x12,x11),sep(lseg(x17,x14),sep(lseg(x7,x16),sep(lseg(x3,x20),sep(lseg(x3,x12),sep(lseg(x11,x12),sep(lseg(x6,x17),sep(lseg(x6,x19),emp))))))))))))))) = true,
    inference(step,[status(thm)],[t18613,t113]) ).

cnf(t18615,plain,
    heap(sep(lseg(x5,x17),sep(lseg(x4,x12),sep(lseg(x19,x1),sep(lseg(x2,x18),sep(lseg(x12,x20),sep(lseg(x12,x15),sep(lseg(x12,x11),sep(lseg(x17,x14),sep(lseg(x7,x16),sep(lseg(x3,x20),sep(lseg(x3,x12),sep(lseg(x11,x12),sep(lseg(x6,x17),sep(lseg(x6,x19),emp))))))))))))))) = true,
    inference(step,[status(thm)],[t18614,t113]) ).

cnf(t18616,plain,
    heap(sep(lseg(x5,x17),sep(lseg(x4,x12),sep(lseg(x2,x18),sep(lseg(x19,x1),sep(lseg(x12,x20),sep(lseg(x12,x15),sep(lseg(x12,x11),sep(lseg(x17,x14),sep(lseg(x7,x16),sep(lseg(x3,x20),sep(lseg(x3,x12),sep(lseg(x11,x12),sep(lseg(x6,x17),sep(lseg(x6,x19),emp))))))))))))))) = true,
    inference(step,[status(thm)],[t18615,t113]) ).

cnf(t18617,plain,
    heap(sep(lseg(x5,x17),sep(lseg(x4,x12),sep(lseg(x2,x18),sep(lseg(x19,x1),sep(lseg(x12,x20),sep(lseg(x12,x15),sep(lseg(x17,x14),sep(lseg(x12,x11),sep(lseg(x7,x16),sep(lseg(x3,x20),sep(lseg(x3,x12),sep(lseg(x11,x12),sep(lseg(x6,x17),sep(lseg(x6,x19),emp))))))))))))))) = true,
    inference(step,[status(thm)],[t18616,t113]) ).

cnf(t18618,plain,
    heap(sep(lseg(x5,x17),sep(lseg(x4,x12),sep(lseg(x2,x18),sep(lseg(x19,x1),sep(lseg(x12,x20),sep(lseg(x17,x14),sep(lseg(x12,x15),sep(lseg(x12,x11),sep(lseg(x7,x16),sep(lseg(x3,x20),sep(lseg(x3,x12),sep(lseg(x11,x12),sep(lseg(x6,x17),sep(lseg(x6,x19),emp))))))))))))))) = true,
    inference(step,[status(thm)],[t18617,t113]) ).

cnf(t18619,plain,
    heap(sep(lseg(x5,x17),sep(lseg(x4,x12),sep(lseg(x2,x18),sep(lseg(x19,x1),sep(lseg(x17,x14),sep(lseg(x12,x20),sep(lseg(x12,x15),sep(lseg(x12,x11),sep(lseg(x7,x16),sep(lseg(x3,x20),sep(lseg(x3,x12),sep(lseg(x11,x12),sep(lseg(x6,x17),sep(lseg(x6,x19),emp))))))))))))))) = true,
    inference(step,[status(thm)],[t18618,t113]) ).

cnf(t18620,plain,
    heap(sep(lseg(x5,x17),sep(lseg(x4,x12),sep(lseg(x2,x18),sep(lseg(x19,x1),sep(lseg(x17,x14),sep(lseg(x12,x20),sep(lseg(x12,x15),sep(lseg(x7,x16),sep(lseg(x12,x11),sep(lseg(x3,x20),sep(lseg(x3,x12),sep(lseg(x11,x12),sep(lseg(x6,x17),sep(lseg(x6,x19),emp))))))))))))))) = true,
    inference(step,[status(thm)],[t18619,t113]) ).

cnf(t18621,plain,
    heap(sep(lseg(x5,x17),sep(lseg(x4,x12),sep(lseg(x2,x18),sep(lseg(x19,x1),sep(lseg(x17,x14),sep(lseg(x12,x20),sep(lseg(x7,x16),sep(lseg(x12,x15),sep(lseg(x12,x11),sep(lseg(x3,x20),sep(lseg(x3,x12),sep(lseg(x11,x12),sep(lseg(x6,x17),sep(lseg(x6,x19),emp))))))))))))))) = true,
    inference(step,[status(thm)],[t18620,t113]) ).

cnf(t18622,plain,
    heap(sep(lseg(x5,x17),sep(lseg(x4,x12),sep(lseg(x2,x18),sep(lseg(x19,x1),sep(lseg(x17,x14),sep(lseg(x7,x16),sep(lseg(x12,x20),sep(lseg(x12,x15),sep(lseg(x12,x11),sep(lseg(x3,x20),sep(lseg(x3,x12),sep(lseg(x11,x12),sep(lseg(x6,x17),sep(lseg(x6,x19),emp))))))))))))))) = true,
    inference(step,[status(thm)],[t18621,t113]) ).

cnf(t18623,plain,
    heap(sep(lseg(x5,x17),sep(lseg(x4,x12),sep(lseg(x2,x18),sep(lseg(x19,x1),sep(lseg(x7,x16),sep(lseg(x17,x14),sep(lseg(x12,x20),sep(lseg(x12,x15),sep(lseg(x12,x11),sep(lseg(x3,x20),sep(lseg(x3,x12),sep(lseg(x11,x12),sep(lseg(x6,x17),sep(lseg(x6,x19),emp))))))))))))))) = true,
    inference(step,[status(thm)],[t18622,t113]) ).

cnf(t18624,plain,
    heap(sep(lseg(x5,x17),sep(lseg(x4,x12),sep(lseg(x2,x18),sep(lseg(x7,x16),sep(lseg(x19,x1),sep(lseg(x17,x14),sep(lseg(x12,x20),sep(lseg(x12,x15),sep(lseg(x12,x11),sep(lseg(x3,x20),sep(lseg(x3,x12),sep(lseg(x11,x12),sep(lseg(x6,x17),sep(lseg(x6,x19),emp))))))))))))))) = true,
    inference(step,[status(thm)],[t18623,t113]) ).

cnf(t18625,plain,
    heap(sep(lseg(x5,x17),sep(lseg(x4,x12),sep(lseg(x7,x16),sep(lseg(x2,x18),sep(lseg(x19,x1),sep(lseg(x17,x14),sep(lseg(x12,x20),sep(lseg(x12,x15),sep(lseg(x12,x11),sep(lseg(x3,x20),sep(lseg(x3,x12),sep(lseg(x11,x12),sep(lseg(x6,x17),sep(lseg(x6,x19),emp))))))))))))))) = true,
    inference(step,[status(thm)],[t18624,t113]) ).

cnf(t18626,plain,
    heap(sep(lseg(x5,x17),sep(lseg(x7,x16),sep(lseg(x4,x12),sep(lseg(x2,x18),sep(lseg(x19,x1),sep(lseg(x17,x14),sep(lseg(x12,x20),sep(lseg(x12,x15),sep(lseg(x12,x11),sep(lseg(x3,x20),sep(lseg(x3,x12),sep(lseg(x11,x12),sep(lseg(x6,x17),sep(lseg(x6,x19),emp))))))))))))))) = true,
    inference(step,[status(thm)],[t18625,t113]) ).

cnf(t18627,plain,
    heap(sep(lseg(x7,x16),sep(lseg(x5,x17),sep(lseg(x4,x12),sep(lseg(x2,x18),sep(lseg(x19,x1),sep(lseg(x17,x14),sep(lseg(x12,x20),sep(lseg(x12,x15),sep(lseg(x12,x11),sep(lseg(x3,x20),sep(lseg(x3,x12),sep(lseg(x11,x12),sep(lseg(x6,x17),sep(lseg(x6,x19),emp))))))))))))))) = true,
    inference(step,[status(thm)],[t18626,t113]) ).

cnf(t18628,plain,
    heap(sep(lseg(x7,x16),sep(lseg(x5,x17),sep(lseg(x4,x12),sep(lseg(x2,x18),sep(lseg(x19,x1),sep(lseg(x17,x14),sep(lseg(x12,x20),sep(lseg(x12,x15),sep(lseg(x3,x20),sep(lseg(x12,x11),sep(lseg(x3,x12),sep(lseg(x11,x12),sep(lseg(x6,x17),sep(lseg(x6,x19),emp))))))))))))))) = true,
    inference(step,[status(thm)],[t18627,t113]) ).

cnf(t18629,plain,
    heap(sep(lseg(x7,x16),sep(lseg(x5,x17),sep(lseg(x4,x12),sep(lseg(x2,x18),sep(lseg(x19,x1),sep(lseg(x17,x14),sep(lseg(x12,x20),sep(lseg(x3,x20),sep(lseg(x12,x15),sep(lseg(x12,x11),sep(lseg(x3,x12),sep(lseg(x11,x12),sep(lseg(x6,x17),sep(lseg(x6,x19),emp))))))))))))))) = true,
    inference(step,[status(thm)],[t18628,t113]) ).

cnf(t18630,plain,
    heap(sep(lseg(x7,x16),sep(lseg(x5,x17),sep(lseg(x4,x12),sep(lseg(x2,x18),sep(lseg(x19,x1),sep(lseg(x17,x14),sep(lseg(x3,x20),sep(lseg(x12,x20),sep(lseg(x12,x15),sep(lseg(x12,x11),sep(lseg(x3,x12),sep(lseg(x11,x12),sep(lseg(x6,x17),sep(lseg(x6,x19),emp))))))))))))))) = true,
    inference(step,[status(thm)],[t18629,t113]) ).

cnf(t18631,plain,
    heap(sep(lseg(x7,x16),sep(lseg(x5,x17),sep(lseg(x4,x12),sep(lseg(x2,x18),sep(lseg(x19,x1),sep(lseg(x3,x20),sep(lseg(x17,x14),sep(lseg(x12,x20),sep(lseg(x12,x15),sep(lseg(x12,x11),sep(lseg(x3,x12),sep(lseg(x11,x12),sep(lseg(x6,x17),sep(lseg(x6,x19),emp))))))))))))))) = true,
    inference(step,[status(thm)],[t18630,t113]) ).

cnf(t18632,plain,
    heap(sep(lseg(x7,x16),sep(lseg(x5,x17),sep(lseg(x4,x12),sep(lseg(x2,x18),sep(lseg(x3,x20),sep(lseg(x19,x1),sep(lseg(x17,x14),sep(lseg(x12,x20),sep(lseg(x12,x15),sep(lseg(x12,x11),sep(lseg(x3,x12),sep(lseg(x11,x12),sep(lseg(x6,x17),sep(lseg(x6,x19),emp))))))))))))))) = true,
    inference(step,[status(thm)],[t18631,t113]) ).

cnf(t18633,plain,
    heap(sep(lseg(x7,x16),sep(lseg(x5,x17),sep(lseg(x4,x12),sep(lseg(x3,x20),sep(lseg(x2,x18),sep(lseg(x19,x1),sep(lseg(x17,x14),sep(lseg(x12,x20),sep(lseg(x12,x15),sep(lseg(x12,x11),sep(lseg(x3,x12),sep(lseg(x11,x12),sep(lseg(x6,x17),sep(lseg(x6,x19),emp))))))))))))))) = true,
    inference(step,[status(thm)],[t18632,t113]) ).

cnf(t18634,plain,
    heap(sep(lseg(x7,x16),sep(lseg(x5,x17),sep(lseg(x4,x12),sep(lseg(x3,x20),sep(lseg(x2,x18),sep(lseg(x19,x1),sep(lseg(x17,x14),sep(lseg(x12,x20),sep(lseg(x12,x15),sep(lseg(x3,x12),sep(lseg(x12,x11),sep(lseg(x11,x12),sep(lseg(x6,x17),sep(lseg(x6,x19),emp))))))))))))))) = true,
    inference(step,[status(thm)],[t18633,t113]) ).

cnf(t18635,plain,
    heap(sep(lseg(x7,x16),sep(lseg(x5,x17),sep(lseg(x4,x12),sep(lseg(x3,x20),sep(lseg(x2,x18),sep(lseg(x19,x1),sep(lseg(x17,x14),sep(lseg(x12,x20),sep(lseg(x3,x12),sep(lseg(x12,x15),sep(lseg(x12,x11),sep(lseg(x11,x12),sep(lseg(x6,x17),sep(lseg(x6,x19),emp))))))))))))))) = true,
    inference(step,[status(thm)],[t18634,t113]) ).

cnf(t18636,plain,
    heap(sep(lseg(x7,x16),sep(lseg(x5,x17),sep(lseg(x4,x12),sep(lseg(x3,x20),sep(lseg(x2,x18),sep(lseg(x19,x1),sep(lseg(x17,x14),sep(lseg(x3,x12),sep(lseg(x12,x20),sep(lseg(x12,x15),sep(lseg(x12,x11),sep(lseg(x11,x12),sep(lseg(x6,x17),sep(lseg(x6,x19),emp))))))))))))))) = true,
    inference(step,[status(thm)],[t18635,t113]) ).

cnf(t18637,plain,
    heap(sep(lseg(x7,x16),sep(lseg(x5,x17),sep(lseg(x4,x12),sep(lseg(x3,x20),sep(lseg(x2,x18),sep(lseg(x19,x1),sep(lseg(x3,x12),sep(lseg(x17,x14),sep(lseg(x12,x20),sep(lseg(x12,x15),sep(lseg(x12,x11),sep(lseg(x11,x12),sep(lseg(x6,x17),sep(lseg(x6,x19),emp))))))))))))))) = true,
    inference(step,[status(thm)],[t18636,t113]) ).

cnf(t18638,plain,
    heap(sep(lseg(x7,x16),sep(lseg(x5,x17),sep(lseg(x4,x12),sep(lseg(x3,x20),sep(lseg(x2,x18),sep(lseg(x3,x12),sep(lseg(x19,x1),sep(lseg(x17,x14),sep(lseg(x12,x20),sep(lseg(x12,x15),sep(lseg(x12,x11),sep(lseg(x11,x12),sep(lseg(x6,x17),sep(lseg(x6,x19),emp))))))))))))))) = true,
    inference(step,[status(thm)],[t18637,t113]) ).

cnf(t18639,plain,
    heap(sep(lseg(x7,x16),sep(lseg(x5,x17),sep(lseg(x4,x12),sep(lseg(x3,x20),sep(lseg(x3,x12),sep(lseg(x2,x18),sep(lseg(x19,x1),sep(lseg(x17,x14),sep(lseg(x12,x20),sep(lseg(x12,x15),sep(lseg(x12,x11),sep(lseg(x11,x12),sep(lseg(x6,x17),sep(lseg(x6,x19),emp))))))))))))))) = true,
    inference(step,[status(thm)],[t18638,t113]) ).

cnf(t18640,plain,
    heap(sep(lseg(x7,x16),sep(lseg(x5,x17),sep(lseg(x4,x12),sep(lseg(x3,x20),sep(lseg(x3,x12),sep(lseg(x2,x18),sep(lseg(x19,x1),sep(lseg(x17,x14),sep(lseg(x12,x20),sep(lseg(x12,x15),sep(lseg(x12,x11),sep(lseg(x6,x17),sep(lseg(x11,x12),sep(lseg(x6,x19),emp))))))))))))))) = true,
    inference(step,[status(thm)],[t18639,t113]) ).

cnf(t18641,plain,
    heap(sep(lseg(x7,x16),sep(lseg(x5,x17),sep(lseg(x4,x12),sep(lseg(x3,x20),sep(lseg(x3,x12),sep(lseg(x2,x18),sep(lseg(x19,x1),sep(lseg(x17,x14),sep(lseg(x12,x20),sep(lseg(x12,x15),sep(lseg(x6,x17),sep(lseg(x12,x11),sep(lseg(x11,x12),sep(lseg(x6,x19),emp))))))))))))))) = true,
    inference(step,[status(thm)],[t18640,t113]) ).

cnf(t18642,plain,
    heap(sep(lseg(x7,x16),sep(lseg(x5,x17),sep(lseg(x4,x12),sep(lseg(x3,x20),sep(lseg(x3,x12),sep(lseg(x2,x18),sep(lseg(x19,x1),sep(lseg(x17,x14),sep(lseg(x12,x20),sep(lseg(x6,x17),sep(lseg(x12,x15),sep(lseg(x12,x11),sep(lseg(x11,x12),sep(lseg(x6,x19),emp))))))))))))))) = true,
    inference(step,[status(thm)],[t18641,t113]) ).

cnf(t18643,plain,
    heap(sep(lseg(x7,x16),sep(lseg(x5,x17),sep(lseg(x4,x12),sep(lseg(x3,x20),sep(lseg(x3,x12),sep(lseg(x2,x18),sep(lseg(x19,x1),sep(lseg(x17,x14),sep(lseg(x6,x17),sep(lseg(x12,x20),sep(lseg(x12,x15),sep(lseg(x12,x11),sep(lseg(x11,x12),sep(lseg(x6,x19),emp))))))))))))))) = true,
    inference(step,[status(thm)],[t18642,t113]) ).

cnf(t18644,plain,
    heap(sep(lseg(x7,x16),sep(lseg(x5,x17),sep(lseg(x4,x12),sep(lseg(x3,x20),sep(lseg(x3,x12),sep(lseg(x2,x18),sep(lseg(x19,x1),sep(lseg(x6,x17),sep(lseg(x17,x14),sep(lseg(x12,x20),sep(lseg(x12,x15),sep(lseg(x12,x11),sep(lseg(x11,x12),sep(lseg(x6,x19),emp))))))))))))))) = true,
    inference(step,[status(thm)],[t18643,t113]) ).

cnf(t18645,plain,
    heap(sep(lseg(x7,x16),sep(lseg(x5,x17),sep(lseg(x4,x12),sep(lseg(x3,x20),sep(lseg(x3,x12),sep(lseg(x2,x18),sep(lseg(x6,x17),sep(lseg(x19,x1),sep(lseg(x17,x14),sep(lseg(x12,x20),sep(lseg(x12,x15),sep(lseg(x12,x11),sep(lseg(x11,x12),sep(lseg(x6,x19),emp))))))))))))))) = true,
    inference(step,[status(thm)],[t18644,t113]) ).

cnf(t18646,plain,
    heap(sep(lseg(x7,x16),sep(lseg(x5,x17),sep(lseg(x4,x12),sep(lseg(x3,x20),sep(lseg(x3,x12),sep(lseg(x6,x17),sep(lseg(x2,x18),sep(lseg(x19,x1),sep(lseg(x17,x14),sep(lseg(x12,x20),sep(lseg(x12,x15),sep(lseg(x12,x11),sep(lseg(x11,x12),sep(lseg(x6,x19),emp))))))))))))))) = true,
    inference(step,[status(thm)],[t18645,t113]) ).

cnf(t18647,plain,
    heap(sep(lseg(x7,x16),sep(lseg(x5,x17),sep(lseg(x4,x12),sep(lseg(x3,x20),sep(lseg(x6,x17),sep(lseg(x3,x12),sep(lseg(x2,x18),sep(lseg(x19,x1),sep(lseg(x17,x14),sep(lseg(x12,x20),sep(lseg(x12,x15),sep(lseg(x12,x11),sep(lseg(x11,x12),sep(lseg(x6,x19),emp))))))))))))))) = true,
    inference(step,[status(thm)],[t18646,t113]) ).

cnf(t18648,plain,
    heap(sep(lseg(x7,x16),sep(lseg(x5,x17),sep(lseg(x4,x12),sep(lseg(x6,x17),sep(lseg(x3,x20),sep(lseg(x3,x12),sep(lseg(x2,x18),sep(lseg(x19,x1),sep(lseg(x17,x14),sep(lseg(x12,x20),sep(lseg(x12,x15),sep(lseg(x12,x11),sep(lseg(x11,x12),sep(lseg(x6,x19),emp))))))))))))))) = true,
    inference(step,[status(thm)],[t18647,t113]) ).

cnf(t18649,plain,
    heap(sep(lseg(x7,x16),sep(lseg(x5,x17),sep(lseg(x6,x17),sep(lseg(x4,x12),sep(lseg(x3,x20),sep(lseg(x3,x12),sep(lseg(x2,x18),sep(lseg(x19,x1),sep(lseg(x17,x14),sep(lseg(x12,x20),sep(lseg(x12,x15),sep(lseg(x12,x11),sep(lseg(x11,x12),sep(lseg(x6,x19),emp))))))))))))))) = true,
    inference(step,[status(thm)],[t18648,t113]) ).

cnf(t18650,plain,
    heap(sep(lseg(x7,x16),sep(lseg(x6,x17),sep(lseg(x5,x17),sep(lseg(x4,x12),sep(lseg(x3,x20),sep(lseg(x3,x12),sep(lseg(x2,x18),sep(lseg(x19,x1),sep(lseg(x17,x14),sep(lseg(x12,x20),sep(lseg(x12,x15),sep(lseg(x12,x11),sep(lseg(x11,x12),sep(lseg(x6,x19),emp))))))))))))))) = true,
    inference(step,[status(thm)],[t18649,t113]) ).

cnf(t18651,plain,
    heap(sep(lseg(x7,x16),sep(lseg(x6,x17),sep(lseg(x5,x17),sep(lseg(x4,x12),sep(lseg(x3,x20),sep(lseg(x3,x12),sep(lseg(x2,x18),sep(lseg(x19,x1),sep(lseg(x17,x14),sep(lseg(x12,x20),sep(lseg(x12,x15),sep(lseg(x12,x11),sep(lseg(x6,x19),sep(lseg(x11,x12),emp))))))))))))))) = true,
    inference(step,[status(thm)],[t18650,t113]) ).

cnf(t18652,plain,
    heap(sep(lseg(x7,x16),sep(lseg(x6,x17),sep(lseg(x5,x17),sep(lseg(x4,x12),sep(lseg(x3,x20),sep(lseg(x3,x12),sep(lseg(x2,x18),sep(lseg(x19,x1),sep(lseg(x17,x14),sep(lseg(x12,x20),sep(lseg(x12,x15),sep(lseg(x6,x19),sep(lseg(x12,x11),sep(lseg(x11,x12),emp))))))))))))))) = true,
    inference(step,[status(thm)],[t18651,t113]) ).

cnf(t18653,plain,
    heap(sep(lseg(x7,x16),sep(lseg(x6,x17),sep(lseg(x5,x17),sep(lseg(x4,x12),sep(lseg(x3,x20),sep(lseg(x3,x12),sep(lseg(x2,x18),sep(lseg(x19,x1),sep(lseg(x17,x14),sep(lseg(x12,x20),sep(lseg(x6,x19),sep(lseg(x12,x15),sep(lseg(x12,x11),sep(lseg(x11,x12),emp))))))))))))))) = true,
    inference(step,[status(thm)],[t18652,t113]) ).

cnf(t18654,plain,
    heap(sep(lseg(x7,x16),sep(lseg(x6,x17),sep(lseg(x5,x17),sep(lseg(x4,x12),sep(lseg(x3,x20),sep(lseg(x3,x12),sep(lseg(x2,x18),sep(lseg(x19,x1),sep(lseg(x17,x14),sep(lseg(x6,x19),sep(lseg(x12,x20),sep(lseg(x12,x15),sep(lseg(x12,x11),sep(lseg(x11,x12),emp))))))))))))))) = true,
    inference(step,[status(thm)],[t18653,t113]) ).

cnf(t18655,plain,
    heap(sep(lseg(x7,x16),sep(lseg(x6,x17),sep(lseg(x5,x17),sep(lseg(x4,x12),sep(lseg(x3,x20),sep(lseg(x3,x12),sep(lseg(x2,x18),sep(lseg(x19,x1),sep(lseg(x6,x19),sep(lseg(x17,x14),sep(lseg(x12,x20),sep(lseg(x12,x15),sep(lseg(x12,x11),sep(lseg(x11,x12),emp))))))))))))))) = true,
    inference(step,[status(thm)],[t18654,t113]) ).

cnf(t18656,plain,
    heap(sep(lseg(x7,x16),sep(lseg(x6,x17),sep(lseg(x5,x17),sep(lseg(x4,x12),sep(lseg(x3,x20),sep(lseg(x3,x12),sep(lseg(x2,x18),sep(lseg(x6,x19),sep(lseg(x19,x1),sep(lseg(x17,x14),sep(lseg(x12,x20),sep(lseg(x12,x15),sep(lseg(x12,x11),sep(lseg(x11,x12),emp))))))))))))))) = true,
    inference(step,[status(thm)],[t18655,t113]) ).

cnf(t18657,plain,
    heap(sep(lseg(x7,x16),sep(lseg(x6,x17),sep(lseg(x5,x17),sep(lseg(x4,x12),sep(lseg(x3,x20),sep(lseg(x3,x12),sep(lseg(x6,x19),sep(lseg(x2,x18),sep(lseg(x19,x1),sep(lseg(x17,x14),sep(lseg(x12,x20),sep(lseg(x12,x15),sep(lseg(x12,x11),sep(lseg(x11,x12),emp))))))))))))))) = true,
    inference(step,[status(thm)],[t18656,t113]) ).

cnf(t18658,plain,
    heap(sep(lseg(x7,x16),sep(lseg(x6,x17),sep(lseg(x5,x17),sep(lseg(x4,x12),sep(lseg(x3,x20),sep(lseg(x6,x19),sep(lseg(x3,x12),sep(lseg(x2,x18),sep(lseg(x19,x1),sep(lseg(x17,x14),sep(lseg(x12,x20),sep(lseg(x12,x15),sep(lseg(x12,x11),sep(lseg(x11,x12),emp))))))))))))))) = true,
    inference(step,[status(thm)],[t18657,t113]) ).

cnf(t18659,plain,
    heap(sep(lseg(x7,x16),sep(lseg(x6,x17),sep(lseg(x5,x17),sep(lseg(x4,x12),sep(lseg(x6,x19),sep(lseg(x3,x20),sep(lseg(x3,x12),sep(lseg(x2,x18),sep(lseg(x19,x1),sep(lseg(x17,x14),sep(lseg(x12,x20),sep(lseg(x12,x15),sep(lseg(x12,x11),sep(lseg(x11,x12),emp))))))))))))))) = true,
    inference(step,[status(thm)],[t18658,t113]) ).

cnf(t18660,plain,
    heap(sep(lseg(x7,x16),sep(lseg(x6,x17),sep(lseg(x5,x17),sep(lseg(x6,x19),sep(lseg(x4,x12),sep(lseg(x3,x20),sep(lseg(x3,x12),sep(lseg(x2,x18),sep(lseg(x19,x1),sep(lseg(x17,x14),sep(lseg(x12,x20),sep(lseg(x12,x15),sep(lseg(x12,x11),sep(lseg(x11,x12),emp))))))))))))))) = true,
    inference(step,[status(thm)],[t18659,t113]) ).

cnf(t18661,plain,
    heap(sep(lseg(x7,x16),sep(lseg(x6,x17),sep(lseg(x6,x19),sep(lseg(x5,x17),sep(lseg(x4,x12),sep(lseg(x3,x20),sep(lseg(x3,x12),sep(lseg(x2,x18),sep(lseg(x19,x1),sep(lseg(x17,x14),sep(lseg(x12,x20),sep(lseg(x12,x15),sep(lseg(x12,x11),sep(lseg(x11,x12),emp))))))))))))))) = true,
    inference(step,[status(thm)],[t18660,t113]) ).

cnf(t18662,plain,
    heap(sep(lseg(x7,x16),sep(lseg(x6,x19),sep(lseg(x6,x17),sep(lseg(x5,x17),sep(lseg(x4,x12),sep(lseg(x3,x20),sep(lseg(x3,x12),sep(lseg(x2,x18),sep(lseg(x19,x1),sep(lseg(x17,x14),sep(lseg(x12,x20),sep(lseg(x12,x15),sep(lseg(x12,x11),sep(lseg(x11,x12),emp))))))))))))))) = true,
    inference(step,[status(thm)],[t18661,t113]) ).

cnf(t3777,plain,
    heap(sep(lseg(x7,x16),sep(lseg(x6,x19),sep(lseg(x6,x17),sep(lseg(x5,x17),sep(lseg(x4,x12),sep(lseg(x3,x20),sep(lseg(x3,x12),sep(lseg(x2,x18),sep(lseg(x19,x1),sep(lseg(x17,x14),sep(lseg(x12,x20),sep(lseg(x12,x15),sep(lseg(x12,x11),sep(lseg(x11,x12),emp))))))))))))))) = true,
    inference(orient,[status(thm)],[t18662]) ).

cnf(t3919,plain,
    heap(sep(lseg(x7,x16),sep(lseg(x6,x19),sep(lseg(x6,x17),sep(lseg(x5,x17),sep(lseg(x4,x12),sep(lseg(x3,x20),sep(lseg(x3,x12),sep(lseg(x2,x18),sep(lseg(x19,x1),sep(lseg(x17,x14),sep(lseg(x12,x20),sep(lseg(x12,x15),sep(lseg(x12,x11),sep(lseg(x11,x12),emp))))))))))))))) = true,
    inference(rw,[status(thm)],[t3777]) ).

cnf(t44,plain,
    ifeq(eq(X1,X2),true,X1,X2) = X2,
    introduced(definition) ).

cnf(t59,plain,
    ifeq(eq(X1,X2),true,X1,X2) = X2,
    inference(orient,[status(thm)],[t44]) ).

cnf(t3811,plain,
    true = ifeq(true,true,or(eq(x6,x17),eq(x6,x19)),true),
    inference(cp,[status(thm)],[t1726,t3777]) ).

cnf(t23,plain,
    ifeq(X1,X1,X2,X3) = X2,
    introduced(definition) ).

cnf(t58,plain,
    ifeq(X1,X1,X2,X3) = X2,
    inference(orient,[status(thm)],[t23]) ).

cnf(t18663,plain,
    true = or(eq(x6,x17),eq(x6,x19)),
    inference(step,[status(thm)],[t3811,t58]) ).

cnf(f11,hypothesis,
    x6 != x19,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',premise_1) ).

fof(f11_nnf,plain,
    x6 != x19,
    inference(nnf_transformation,[status(thm)],[f11]) ).

fof(f11_sk,plain,
    x6 != x19,
    inference(skolemisation,[status(esa)],[f11_nnf]) ).

cnf(c11,plain,
    x6 != x19,
    inference(cnf_transformation,[status(esa)],[f11_sk]) ).

cnf(t14,plain,
    eq(x6,x19) = false,
    inference(equality_encoding,[status(esa)],[c11]) ).

cnf(t200,plain,
    eq(x6,x19) = false,
    inference(orient,[status(thm)],[t14]) ).

cnf(t18664,plain,
    true = or(eq(x6,x17),false),
    inference(step,[status(thm)],[t18663,t200]) ).

cnf(t19,plain,
    or(X1,false) = X1,
    introduced(definition) ).

cnf(t62,plain,
    or(X1,false) = X1,
    inference(orient,[status(thm)],[t19]) ).

cnf(t18665,plain,
    true = eq(x6,x17),
    inference(step,[status(thm)],[t18664,t62]) ).

cnf(t3853,plain,
    eq(x6,x17) = true,
    inference(orient,[status(thm)],[t18665]) ).

cnf(t3854,plain,
    x17 = ifeq(true,true,x6,x17),
    inference(cp,[status(thm)],[t59,t3853]) ).

cnf(t18666,plain,
    x17 = x6,
    inference(step,[status(thm)],[t3854,t58]) ).

cnf(t3855,plain,
    x17 = x6,
    inference(orient,[status(thm)],[t18666]) ).

cnf(t19267,plain,
    heap(sep(lseg(x7,x16),sep(lseg(x6,x19),sep(lseg(x6,x6),sep(lseg(x5,x17),sep(lseg(x4,x12),sep(lseg(x3,x20),sep(lseg(x3,x12),sep(lseg(x2,x18),sep(lseg(x19,x1),sep(lseg(x17,x14),sep(lseg(x12,x20),sep(lseg(x12,x15),sep(lseg(x12,x11),sep(lseg(x11,x12),emp))))))))))))))) = true,
    inference(step,[status(thm)],[t3919,t3855]) ).

cnf(f1,axiom,
    sep(lseg(X,X),Sigma) = Sigma,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',normalization) ).

fof(f1_nnf,plain,
    ! [X,Sigma] : sep(lseg(X,X),Sigma) = Sigma,
    inference(nnf_transformation,[status(thm)],[f1]) ).

fof(f1_sk,plain,
    ! [X,Sigma] : sep(lseg(X,X),Sigma) = Sigma,
    inference(skolemisation,[status(esa)],[f1_nnf]) ).

cnf(c1,plain,
    sep(lseg(X0,X0),X1) = X1,
    inference(cnf_transformation,[status(esa)],[f1_sk]) ).

cnf(t42,plain,
    sep(lseg(X1,X1),X2) = X2,
    inference(equality_encoding,[status(esa)],[c1]) ).

cnf(t57,plain,
    sep(lseg(X1,X1),X2) = X2,
    inference(orient,[status(thm)],[t42]) ).

cnf(t19268,plain,
    heap(sep(lseg(x7,x16),sep(lseg(x6,x19),sep(lseg(x5,x17),sep(lseg(x4,x12),sep(lseg(x3,x20),sep(lseg(x3,x12),sep(lseg(x2,x18),sep(lseg(x19,x1),sep(lseg(x17,x14),sep(lseg(x12,x20),sep(lseg(x12,x15),sep(lseg(x12,x11),sep(lseg(x11,x12),emp)))))))))))))) = true,
    inference(step,[status(thm)],[t19267,t57]) ).

cnf(t19269,plain,
    heap(sep(lseg(x7,x16),sep(lseg(x6,x19),sep(lseg(x5,x6),sep(lseg(x4,x12),sep(lseg(x3,x20),sep(lseg(x3,x12),sep(lseg(x2,x18),sep(lseg(x19,x1),sep(lseg(x17,x14),sep(lseg(x12,x20),sep(lseg(x12,x15),sep(lseg(x12,x11),sep(lseg(x11,x12),emp)))))))))))))) = true,
    inference(step,[status(thm)],[t19268,t3855]) ).

cnf(t19270,plain,
    heap(sep(lseg(x7,x16),sep(lseg(x6,x19),sep(lseg(x5,x6),sep(lseg(x4,x12),sep(lseg(x3,x20),sep(lseg(x3,x12),sep(lseg(x2,x18),sep(lseg(x19,x1),sep(lseg(x6,x14),sep(lseg(x12,x20),sep(lseg(x12,x15),sep(lseg(x12,x11),sep(lseg(x11,x12),emp)))))))))))))) = true,
    inference(step,[status(thm)],[t19269,t3855]) ).

cnf(t19271,plain,
    heap(sep(lseg(x7,x16),sep(lseg(x6,x19),sep(lseg(x5,x6),sep(lseg(x4,x12),sep(lseg(x3,x20),sep(lseg(x3,x12),sep(lseg(x2,x18),sep(lseg(x6,x14),sep(lseg(x19,x1),sep(lseg(x12,x20),sep(lseg(x12,x15),sep(lseg(x12,x11),sep(lseg(x11,x12),emp)))))))))))))) = true,
    inference(step,[status(thm)],[t19270,t113]) ).

cnf(t19272,plain,
    heap(sep(lseg(x7,x16),sep(lseg(x6,x19),sep(lseg(x5,x6),sep(lseg(x4,x12),sep(lseg(x3,x20),sep(lseg(x3,x12),sep(lseg(x6,x14),sep(lseg(x2,x18),sep(lseg(x19,x1),sep(lseg(x12,x20),sep(lseg(x12,x15),sep(lseg(x12,x11),sep(lseg(x11,x12),emp)))))))))))))) = true,
    inference(step,[status(thm)],[t19271,t113]) ).

cnf(t19273,plain,
    heap(sep(lseg(x7,x16),sep(lseg(x6,x19),sep(lseg(x5,x6),sep(lseg(x4,x12),sep(lseg(x3,x20),sep(lseg(x6,x14),sep(lseg(x3,x12),sep(lseg(x2,x18),sep(lseg(x19,x1),sep(lseg(x12,x20),sep(lseg(x12,x15),sep(lseg(x12,x11),sep(lseg(x11,x12),emp)))))))))))))) = true,
    inference(step,[status(thm)],[t19272,t113]) ).

cnf(t19274,plain,
    heap(sep(lseg(x7,x16),sep(lseg(x6,x19),sep(lseg(x5,x6),sep(lseg(x4,x12),sep(lseg(x6,x14),sep(lseg(x3,x20),sep(lseg(x3,x12),sep(lseg(x2,x18),sep(lseg(x19,x1),sep(lseg(x12,x20),sep(lseg(x12,x15),sep(lseg(x12,x11),sep(lseg(x11,x12),emp)))))))))))))) = true,
    inference(step,[status(thm)],[t19273,t113]) ).

cnf(t19275,plain,
    heap(sep(lseg(x7,x16),sep(lseg(x6,x19),sep(lseg(x5,x6),sep(lseg(x6,x14),sep(lseg(x4,x12),sep(lseg(x3,x20),sep(lseg(x3,x12),sep(lseg(x2,x18),sep(lseg(x19,x1),sep(lseg(x12,x20),sep(lseg(x12,x15),sep(lseg(x12,x11),sep(lseg(x11,x12),emp)))))))))))))) = true,
    inference(step,[status(thm)],[t19274,t113]) ).

cnf(t19276,plain,
    heap(sep(lseg(x7,x16),sep(lseg(x6,x19),sep(lseg(x6,x14),sep(lseg(x5,x6),sep(lseg(x4,x12),sep(lseg(x3,x20),sep(lseg(x3,x12),sep(lseg(x2,x18),sep(lseg(x19,x1),sep(lseg(x12,x20),sep(lseg(x12,x15),sep(lseg(x12,x11),sep(lseg(x11,x12),emp)))))))))))))) = true,
    inference(step,[status(thm)],[t19275,t113]) ).

cnf(t7642,plain,
    heap(sep(lseg(x7,x16),sep(lseg(x6,x19),sep(lseg(x6,x14),sep(lseg(x5,x6),sep(lseg(x4,x12),sep(lseg(x3,x20),sep(lseg(x3,x12),sep(lseg(x2,x18),sep(lseg(x19,x1),sep(lseg(x12,x20),sep(lseg(x12,x15),sep(lseg(x12,x11),sep(lseg(x11,x12),emp)))))))))))))) = true,
    inference(orient,[status(thm)],[t19276]) ).

cnf(t7757,plain,
    heap(sep(lseg(x7,x16),sep(lseg(x6,x19),sep(lseg(x6,x14),sep(lseg(x5,x6),sep(lseg(x4,x12),sep(lseg(x3,x20),sep(lseg(x3,x12),sep(lseg(x2,x18),sep(lseg(x19,x1),sep(lseg(x12,x20),sep(lseg(x12,x15),sep(lseg(x12,x11),sep(lseg(x11,x12),emp)))))))))))))) = true,
    inference(rw,[status(thm)],[t7642]) ).

cnf(t7680,plain,
    true = ifeq(true,true,or(eq(x6,x14),eq(x6,x19)),true),
    inference(cp,[status(thm)],[t1726,t7642]) ).

cnf(t19277,plain,
    true = or(eq(x6,x14),eq(x6,x19)),
    inference(step,[status(thm)],[t7680,t58]) ).

cnf(t19278,plain,
    true = or(eq(x6,x14),false),
    inference(step,[status(thm)],[t19277,t200]) ).

cnf(t19279,plain,
    true = eq(x6,x14),
    inference(step,[status(thm)],[t19278,t62]) ).

cnf(t7754,plain,
    eq(x6,x14) = true,
    inference(orient,[status(thm)],[t19279]) ).

cnf(t7755,plain,
    x14 = ifeq(true,true,x6,x14),
    inference(cp,[status(thm)],[t59,t7754]) ).

cnf(t19280,plain,
    x14 = x6,
    inference(step,[status(thm)],[t7755,t58]) ).

cnf(t7756,plain,
    x14 = x6,
    inference(orient,[status(thm)],[t19280]) ).

cnf(t19782,plain,
    heap(sep(lseg(x7,x16),sep(lseg(x6,x19),sep(lseg(x6,x6),sep(lseg(x5,x6),sep(lseg(x4,x12),sep(lseg(x3,x20),sep(lseg(x3,x12),sep(lseg(x2,x18),sep(lseg(x19,x1),sep(lseg(x12,x20),sep(lseg(x12,x15),sep(lseg(x12,x11),sep(lseg(x11,x12),emp)))))))))))))) = true,
    inference(step,[status(thm)],[t7757,t7756]) ).

cnf(t19783,plain,
    heap(sep(lseg(x7,x16),sep(lseg(x6,x19),sep(lseg(x5,x6),sep(lseg(x4,x12),sep(lseg(x3,x20),sep(lseg(x3,x12),sep(lseg(x2,x18),sep(lseg(x19,x1),sep(lseg(x12,x20),sep(lseg(x12,x15),sep(lseg(x12,x11),sep(lseg(x11,x12),emp))))))))))))) = true,
    inference(step,[status(thm)],[t19782,t57]) ).

cnf(t12914,plain,
    heap(sep(lseg(x7,x16),sep(lseg(x6,x19),sep(lseg(x5,x6),sep(lseg(x4,x12),sep(lseg(x3,x20),sep(lseg(x3,x12),sep(lseg(x2,x18),sep(lseg(x19,x1),sep(lseg(x12,x20),sep(lseg(x12,x15),sep(lseg(x12,x11),sep(lseg(x11,x12),emp))))))))))))) = true,
    inference(orient,[status(thm)],[t19783]) ).

cnf(t13084,plain,
    heap(sep(lseg(x7,x16),sep(lseg(x6,x19),sep(lseg(x5,x6),sep(lseg(x4,x12),sep(lseg(x3,x20),sep(lseg(x3,x12),sep(lseg(x2,x18),sep(lseg(x19,x1),sep(lseg(x12,x20),sep(lseg(x12,x15),sep(lseg(x12,x11),sep(lseg(x11,x12),emp))))))))))))) = true,
    inference(rw,[status(thm)],[t12914]) ).

cnf(t13058,plain,
    true = ifeq(true,true,or(eq(x3,x12),eq(x3,x20)),true),
    inference(cp,[status(thm)],[t5408,t12914]) ).

cnf(t19784,plain,
    true = or(eq(x3,x12),eq(x3,x20)),
    inference(step,[status(thm)],[t13058,t58]) ).

cnf(f13,hypothesis,
    x3 != x20,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',premise_3) ).

fof(f13_nnf,plain,
    x3 != x20,
    inference(nnf_transformation,[status(thm)],[f13]) ).

fof(f13_sk,plain,
    x3 != x20,
    inference(skolemisation,[status(esa)],[f13_nnf]) ).

cnf(c13,plain,
    x3 != x20,
    inference(cnf_transformation,[status(esa)],[f13_sk]) ).

cnf(t9,plain,
    eq(x3,x20) = false,
    inference(equality_encoding,[status(esa)],[c13]) ).

cnf(t164,plain,
    eq(x3,x20) = false,
    inference(orient,[status(thm)],[t9]) ).

cnf(t19785,plain,
    true = or(eq(x3,x12),false),
    inference(step,[status(thm)],[t19784,t164]) ).

cnf(t19786,plain,
    true = eq(x3,x12),
    inference(step,[status(thm)],[t19785,t62]) ).

cnf(t13081,plain,
    eq(x3,x12) = true,
    inference(orient,[status(thm)],[t19786]) ).

cnf(t13082,plain,
    x12 = ifeq(true,true,x3,x12),
    inference(cp,[status(thm)],[t59,t13081]) ).

cnf(t19787,plain,
    x12 = x3,
    inference(step,[status(thm)],[t13082,t58]) ).

cnf(t13083,plain,
    x12 = x3,
    inference(orient,[status(thm)],[t19787]) ).

cnf(t20225,plain,
    heap(sep(lseg(x7,x16),sep(lseg(x6,x19),sep(lseg(x5,x6),sep(lseg(x4,x3),sep(lseg(x3,x20),sep(lseg(x3,x12),sep(lseg(x2,x18),sep(lseg(x19,x1),sep(lseg(x12,x20),sep(lseg(x12,x15),sep(lseg(x12,x11),sep(lseg(x11,x12),emp))))))))))))) = true,
    inference(step,[status(thm)],[t13084,t13083]) ).

cnf(t20226,plain,
    heap(sep(lseg(x7,x16),sep(lseg(x6,x19),sep(lseg(x5,x6),sep(lseg(x4,x3),sep(lseg(x3,x20),sep(lseg(x3,x3),sep(lseg(x2,x18),sep(lseg(x19,x1),sep(lseg(x12,x20),sep(lseg(x12,x15),sep(lseg(x12,x11),sep(lseg(x11,x12),emp))))))))))))) = true,
    inference(step,[status(thm)],[t20225,t13083]) ).

cnf(t20227,plain,
    heap(sep(lseg(x7,x16),sep(lseg(x6,x19),sep(lseg(x5,x6),sep(lseg(x4,x3),sep(lseg(x3,x20),sep(lseg(x2,x18),sep(lseg(x19,x1),sep(lseg(x12,x20),sep(lseg(x12,x15),sep(lseg(x12,x11),sep(lseg(x11,x12),emp)))))))))))) = true,
    inference(step,[status(thm)],[t20226,t57]) ).

cnf(t20228,plain,
    heap(sep(lseg(x7,x16),sep(lseg(x6,x19),sep(lseg(x5,x6),sep(lseg(x4,x3),sep(lseg(x3,x20),sep(lseg(x2,x18),sep(lseg(x19,x1),sep(lseg(x3,x20),sep(lseg(x12,x15),sep(lseg(x12,x11),sep(lseg(x11,x12),emp)))))))))))) = true,
    inference(step,[status(thm)],[t20227,t13083]) ).

cnf(t20229,plain,
    heap(sep(lseg(x7,x16),sep(lseg(x6,x19),sep(lseg(x5,x6),sep(lseg(x4,x3),sep(lseg(x3,x20),sep(lseg(x2,x18),sep(lseg(x3,x20),sep(lseg(x19,x1),sep(lseg(x12,x15),sep(lseg(x12,x11),sep(lseg(x11,x12),emp)))))))))))) = true,
    inference(step,[status(thm)],[t20228,t113]) ).

cnf(t20230,plain,
    heap(sep(lseg(x7,x16),sep(lseg(x6,x19),sep(lseg(x5,x6),sep(lseg(x4,x3),sep(lseg(x3,x20),sep(lseg(x3,x20),sep(lseg(x2,x18),sep(lseg(x19,x1),sep(lseg(x12,x15),sep(lseg(x12,x11),sep(lseg(x11,x12),emp)))))))))))) = true,
    inference(step,[status(thm)],[t20229,t113]) ).

cnf(t20231,plain,
    heap(sep(lseg(x7,x16),sep(lseg(x6,x19),sep(lseg(x5,x6),sep(lseg(x4,x3),sep(lseg(x3,x20),sep(lseg(x3,x20),sep(lseg(x2,x18),sep(lseg(x19,x1),sep(lseg(x3,x15),sep(lseg(x12,x11),sep(lseg(x11,x12),emp)))))))))))) = true,
    inference(step,[status(thm)],[t20230,t13083]) ).

cnf(t20232,plain,
    heap(sep(lseg(x7,x16),sep(lseg(x6,x19),sep(lseg(x5,x6),sep(lseg(x4,x3),sep(lseg(x3,x20),sep(lseg(x3,x20),sep(lseg(x2,x18),sep(lseg(x3,x15),sep(lseg(x19,x1),sep(lseg(x12,x11),sep(lseg(x11,x12),emp)))))))))))) = true,
    inference(step,[status(thm)],[t20231,t113]) ).

cnf(t20233,plain,
    heap(sep(lseg(x7,x16),sep(lseg(x6,x19),sep(lseg(x5,x6),sep(lseg(x4,x3),sep(lseg(x3,x20),sep(lseg(x3,x20),sep(lseg(x3,x15),sep(lseg(x2,x18),sep(lseg(x19,x1),sep(lseg(x12,x11),sep(lseg(x11,x12),emp)))))))))))) = true,
    inference(step,[status(thm)],[t20232,t113]) ).

cnf(t20234,plain,
    heap(sep(lseg(x7,x16),sep(lseg(x6,x19),sep(lseg(x5,x6),sep(lseg(x4,x3),sep(lseg(x3,x20),sep(lseg(x3,x20),sep(lseg(x3,x15),sep(lseg(x2,x18),sep(lseg(x19,x1),sep(lseg(x3,x11),sep(lseg(x11,x12),emp)))))))))))) = true,
    inference(step,[status(thm)],[t20233,t13083]) ).

cnf(t20235,plain,
    heap(sep(lseg(x7,x16),sep(lseg(x6,x19),sep(lseg(x5,x6),sep(lseg(x4,x3),sep(lseg(x3,x20),sep(lseg(x3,x20),sep(lseg(x3,x15),sep(lseg(x2,x18),sep(lseg(x3,x11),sep(lseg(x19,x1),sep(lseg(x11,x12),emp)))))))))))) = true,
    inference(step,[status(thm)],[t20234,t113]) ).

cnf(t20236,plain,
    heap(sep(lseg(x7,x16),sep(lseg(x6,x19),sep(lseg(x5,x6),sep(lseg(x4,x3),sep(lseg(x3,x20),sep(lseg(x3,x20),sep(lseg(x3,x15),sep(lseg(x3,x11),sep(lseg(x2,x18),sep(lseg(x19,x1),sep(lseg(x11,x12),emp)))))))))))) = true,
    inference(step,[status(thm)],[t20235,t113]) ).

cnf(t20237,plain,
    heap(sep(lseg(x7,x16),sep(lseg(x6,x19),sep(lseg(x5,x6),sep(lseg(x4,x3),sep(lseg(x3,x20),sep(lseg(x3,x20),sep(lseg(x3,x15),sep(lseg(x3,x11),sep(lseg(x2,x18),sep(lseg(x19,x1),sep(lseg(x11,x3),emp)))))))))))) = true,
    inference(step,[status(thm)],[t20236,t13083]) ).

cnf(t17740,plain,
    heap(sep(lseg(x7,x16),sep(lseg(x6,x19),sep(lseg(x5,x6),sep(lseg(x4,x3),sep(lseg(x3,x20),sep(lseg(x3,x20),sep(lseg(x3,x15),sep(lseg(x3,x11),sep(lseg(x2,x18),sep(lseg(x19,x1),sep(lseg(x11,x3),emp)))))))))))) = true,
    inference(orient,[status(thm)],[t20237]) ).

cnf(t17892,plain,
    true = ifeq(true,true,or(eq(x3,x20),eq(x3,x20)),true),
    inference(cp,[status(thm)],[t5408,t17740]) ).

cnf(t20238,plain,
    true = or(eq(x3,x20),eq(x3,x20)),
    inference(step,[status(thm)],[t17892,t58]) ).

cnf(t20239,plain,
    true = or(false,eq(x3,x20)),
    inference(step,[status(thm)],[t20238,t164]) ).

cnf(t21,plain,
    or(false,X1) = X1,
    introduced(definition) ).

cnf(t63,plain,
    or(false,X1) = X1,
    inference(orient,[status(thm)],[t21]) ).

cnf(t20240,plain,
    true = eq(x3,x20),
    inference(step,[status(thm)],[t20239,t63]) ).

cnf(t20241,plain,
    true = false,
    inference(step,[status(thm)],[t20240,t164]) ).

cnf(t17945,plain,
    false = true,
    inference(orient,[status(thm)],[t20241]) ).

cnf(f2,axiom,
    ~ heap(sep(next(nil,Y),Sigma)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',wellformedness_1) ).

fof(f2_nnf,plain,
    ! [Y,Sigma] : ~ heap(sep(next(nil,Y),Sigma)),
    inference(nnf_transformation,[status(thm)],[f2]) ).

fof(f2_sk,plain,
    ! [Y,Sigma] : ~ heap(sep(next(nil,Y),Sigma)),
    inference(skolemisation,[status(esa)],[f2_nnf]) ).

cnf(c2,plain,
    ~ heap(sep(next(nil,X0),X1)),
    inference(cnf_transformation,[status(esa)],[f2_sk]) ).

cnf(f4,axiom,
    ~ heap(sep(next(X,Y),sep(next(X,Z),Sigma))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',wellformedness_3) ).

fof(f4_nnf,plain,
    ! [X,Y,Z,Sigma] : ~ heap(sep(next(X,Y),sep(next(X,Z),Sigma))),
    inference(nnf_transformation,[status(thm)],[f4]) ).

fof(f4_sk,plain,
    ! [X,Y,Z,Sigma] : ~ heap(sep(next(X,Y),sep(next(X,Z),Sigma))),
    inference(skolemisation,[status(esa)],[f4_nnf]) ).

cnf(c4,plain,
    ~ heap(sep(next(X0,X1),sep(next(X0,X2),X3))),
    inference(cnf_transformation,[status(esa)],[f4_sk]) ).

cnf(f12,hypothesis,
    x3 != x7,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',premise_2) ).

fof(f12_nnf,plain,
    x3 != x7,
    inference(nnf_transformation,[status(thm)],[f12]) ).

fof(f12_sk,plain,
    x3 != x7,
    inference(skolemisation,[status(esa)],[f12_nnf]) ).

cnf(c12,plain,
    x3 != x7,
    inference(cnf_transformation,[status(esa)],[f12_sk]) ).

cnf(f14,hypothesis,
    x7 != x20,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',premise_4) ).

fof(f14_nnf,plain,
    x7 != x20,
    inference(nnf_transformation,[status(thm)],[f14]) ).

fof(f14_sk,plain,
    x7 != x20,
    inference(skolemisation,[status(esa)],[f14_nnf]) ).

cnf(c14,plain,
    x7 != x20,
    inference(cnf_transformation,[status(esa)],[f14_sk]) ).

cnf(f15,hypothesis,
    x9 != x19,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',premise_5) ).

fof(f15_nnf,plain,
    x9 != x19,
    inference(nnf_transformation,[status(thm)],[f15]) ).

fof(f15_sk,plain,
    x9 != x19,
    inference(skolemisation,[status(esa)],[f15_nnf]) ).

cnf(c15,plain,
    x9 != x19,
    inference(cnf_transformation,[status(esa)],[f15_sk]) ).

cnf(f16,hypothesis,
    x2 != x20,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',premise_6) ).

fof(f16_nnf,plain,
    x2 != x20,
    inference(nnf_transformation,[status(thm)],[f16]) ).

fof(f16_sk,plain,
    x2 != x20,
    inference(skolemisation,[status(esa)],[f16_nnf]) ).

cnf(c16,plain,
    x2 != x20,
    inference(cnf_transformation,[status(esa)],[f16_sk]) ).

cnf(f17,hypothesis,
    x8 != x19,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',premise_7) ).

fof(f17_nnf,plain,
    x8 != x19,
    inference(nnf_transformation,[status(thm)],[f17]) ).

fof(f17_sk,plain,
    x8 != x19,
    inference(skolemisation,[status(esa)],[f17_nnf]) ).

cnf(c17,plain,
    x8 != x19,
    inference(cnf_transformation,[status(esa)],[f17_sk]) ).

cnf(f18,hypothesis,
    x8 != x17,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',premise_8) ).

fof(f18_nnf,plain,
    x8 != x17,
    inference(nnf_transformation,[status(thm)],[f18]) ).

fof(f18_sk,plain,
    x8 != x17,
    inference(skolemisation,[status(esa)],[f18_nnf]) ).

cnf(c18,plain,
    x8 != x17,
    inference(cnf_transformation,[status(esa)],[f18_sk]) ).

cnf(f19,hypothesis,
    x4 != x11,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',premise_9) ).

fof(f19_nnf,plain,
    x4 != x11,
    inference(nnf_transformation,[status(thm)],[f19]) ).

fof(f19_sk,plain,
    x4 != x11,
    inference(skolemisation,[status(esa)],[f19_nnf]) ).

cnf(c19,plain,
    x4 != x11,
    inference(cnf_transformation,[status(esa)],[f19_sk]) ).

cnf(f20,hypothesis,
    x4 != x13,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',premise_10) ).

fof(f20_nnf,plain,
    x4 != x13,
    inference(nnf_transformation,[status(thm)],[f20]) ).

fof(f20_sk,plain,
    x4 != x13,
    inference(skolemisation,[status(esa)],[f20_nnf]) ).

cnf(c20,plain,
    x4 != x13,
    inference(cnf_transformation,[status(esa)],[f20_sk]) ).

cnf(f21,hypothesis,
    x4 != x19,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',premise_11) ).

fof(f21_nnf,plain,
    x4 != x19,
    inference(nnf_transformation,[status(thm)],[f21]) ).

fof(f21_sk,plain,
    x4 != x19,
    inference(skolemisation,[status(esa)],[f21_nnf]) ).

cnf(c21,plain,
    x4 != x19,
    inference(cnf_transformation,[status(esa)],[f21_sk]) ).

cnf(f22,hypothesis,
    x1 != x16,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',premise_12) ).

fof(f22_nnf,plain,
    x1 != x16,
    inference(nnf_transformation,[status(thm)],[f22]) ).

fof(f22_sk,plain,
    x1 != x16,
    inference(skolemisation,[status(esa)],[f22_nnf]) ).

cnf(c22,plain,
    x1 != x16,
    inference(cnf_transformation,[status(esa)],[f22_sk]) ).

cnf(f23,hypothesis,
    x1 != x20,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',premise_13) ).

fof(f23_nnf,plain,
    x1 != x20,
    inference(nnf_transformation,[status(thm)],[f23]) ).

fof(f23_sk,plain,
    x1 != x20,
    inference(skolemisation,[status(esa)],[f23_nnf]) ).

cnf(c23,plain,
    x1 != x20,
    inference(cnf_transformation,[status(esa)],[f23_sk]) ).

cnf(f24,hypothesis,
    x13 != x18,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',premise_14) ).

fof(f24_nnf,plain,
    x13 != x18,
    inference(nnf_transformation,[status(thm)],[f24]) ).

fof(f24_sk,plain,
    x13 != x18,
    inference(skolemisation,[status(esa)],[f24_nnf]) ).

cnf(c24,plain,
    x13 != x18,
    inference(cnf_transformation,[status(esa)],[f24_sk]) ).

cnf(f25,hypothesis,
    x13 != x17,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',premise_15) ).

fof(f25_nnf,plain,
    x13 != x17,
    inference(nnf_transformation,[status(thm)],[f25]) ).

fof(f25_sk,plain,
    x13 != x17,
    inference(skolemisation,[status(esa)],[f25_nnf]) ).

cnf(c25,plain,
    x13 != x17,
    inference(cnf_transformation,[status(esa)],[f25_sk]) ).

cnf(f26,hypothesis,
    x10 != x19,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',premise_16) ).

fof(f26_nnf,plain,
    x10 != x19,
    inference(nnf_transformation,[status(thm)],[f26]) ).

fof(f26_sk,plain,
    x10 != x19,
    inference(skolemisation,[status(esa)],[f26_nnf]) ).

cnf(c26,plain,
    x10 != x19,
    inference(cnf_transformation,[status(esa)],[f26_sk]) ).

cnf(f27,hypothesis,
    x10 != x20,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',premise_17) ).

fof(f27_nnf,plain,
    x10 != x20,
    inference(nnf_transformation,[status(thm)],[f27]) ).

fof(f27_sk,plain,
    x10 != x20,
    inference(skolemisation,[status(esa)],[f27_nnf]) ).

cnf(c27,plain,
    x10 != x20,
    inference(cnf_transformation,[status(esa)],[f27_sk]) ).

cnf(f28,hypothesis,
    x16 != x19,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',premise_18) ).

fof(f28_nnf,plain,
    x16 != x19,
    inference(nnf_transformation,[status(thm)],[f28]) ).

fof(f28_sk,plain,
    x16 != x19,
    inference(skolemisation,[status(esa)],[f28_nnf]) ).

cnf(c28,plain,
    x16 != x19,
    inference(cnf_transformation,[status(esa)],[f28_sk]) ).

cnf(goal_0,negated_conjecture,
    true != false,
    inference(equality_encoding,[status(esa)],[c2,c4,c11,c12,c13,c14,c15,c16,c17,c18,c19,c20,c21,c22,c23,c24,c25,c26,c27,c28]) ).

cnf(g0_0,plain,
    true != true,
    inference(rw,[status(thm)],[goal_0,t17945]) ).

cnf(contradiction_0,plain,
    $false,
    inference(trivial_inequality_removal,[status(thm)],[g0_0]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SWW445-1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.04  % Command  : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.08/0.56  % Computer : n020.cluster.edu
% 0.08/0.56  % Model    : x86_64 x86_64
% 0.08/0.56  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.56  % Memory   : 8046.5625MB
% 0.08/0.56  % OS       : Linux 6.8.0-71-generic
% 0.08/0.57  % CPULimit : 300
% 0.08/0.57  % WCLimit  : 300
% 0.08/0.57  % DateTime : Thu Sep 24 22:25:04 UTC 2026
% 0.08/0.57  % CPUTime  : 
% 0.08/0.57  Running run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 123.56/16.27  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 123.56/16.27  % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------