%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SWW443-1 : TPTP v9.3.1. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n006.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 03:07:52 PM UTC 2026
% Result : Unsatisfiable 1.80s 0.67s
% Output : CNFRefutation 1.80s
% Verified :
% SZS Type : Refutation
% Derivation depth : 84
% Number of leaves : 7
% Syntax : Number of formulae : 110 ( 96 unt; 0 def)
% Number of atoms : 134 ( 45 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 42 ( 18 ~; 24 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 2 avg)
% Maximal term depth : 15 ( 3 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 17 ( 17 usr; 15 con; 0-2 aty)
% Number of variables : 70 ( 70 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [S,T,Sigma] : sep(S,sep(T,Sigma)) = sep(T,sep(S,Sigma)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [X,Sigma] : sep(lseg(X,X),Sigma) = Sigma,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f7,axiom,
! [X,Y,Z,Sigma] :
( X = Z
| X = Y
| ~ heap(sep(lseg(X,Y),sep(lseg(X,Z),Sigma))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f19,hypothesis,
x2 != x8,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f20,hypothesis,
x2 != x13,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f33,hypothesis,
x5 != x15,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f34,hypothesis,
heap(sep(lseg(x10,x1),sep(lseg(x18,x15),sep(lseg(x1,x14),sep(lseg(x1,x3),sep(lseg(x12,x13),sep(lseg(x2,x5),sep(lseg(x2,x12),sep(lseg(x2,x18),sep(lseg(x2,x8),sep(lseg(x9,x5),sep(lseg(x7,x5),sep(lseg(x11,x9),sep(lseg(x11,x7),emp)))))))))))))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f36,plain,
! [X0,X1,X2] : sep(X0,sep(X1,X2)) = sep(X1,sep(X0,X2)),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f37,plain,
! [X0,X1] : sep(lseg(X0,X0),X1) = X1,
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f44,plain,
! [X,Z] :
( X = Z
| ! [Y] :
( X = Y
| ! [Sigma] : ~ heap(sep(lseg(X,Y),sep(lseg(X,Z),Sigma))) ) ),
inference(miniscoping,[status(thm)],[f7]) ).
fof(f45,plain,
! [X0,X1,X2,X3] :
( X0 = X2
| X0 = X1
| ~ heap(sep(lseg(X0,X1),sep(lseg(X0,X2),X3))) ),
inference(cnf_transformation,[status(thm)],[f44]) ).
fof(f61,plain,
x2 != x8,
inference(cnf_transformation,[status(thm)],[f19]) ).
fof(f62,plain,
x2 != x13,
inference(cnf_transformation,[status(thm)],[f20]) ).
fof(f75,plain,
x5 != x15,
inference(cnf_transformation,[status(thm)],[f33]) ).
fof(f76,plain,
heap(sep(lseg(x10,x1),sep(lseg(x18,x15),sep(lseg(x1,x14),sep(lseg(x1,x3),sep(lseg(x12,x13),sep(lseg(x2,x5),sep(lseg(x2,x12),sep(lseg(x2,x18),sep(lseg(x2,x8),sep(lseg(x9,x5),sep(lseg(x7,x5),sep(lseg(x11,x9),sep(lseg(x11,x7),emp)))))))))))))),
inference(cnf_transformation,[status(thm)],[f34]) ).
fof(f80,plain,
! [X0,X1,X2,X3] : sep(X0,sep(X1,sep(X2,X3))) = sep(X2,sep(X0,sep(X1,X3))),
inference(paramodulation,[status(thm)],[f36,f36]) ).
fof(f90,plain,
! [X0,X1,X2,X3,X4] :
( X0 = X3
| X0 = X1
| ~ heap(sep(lseg(X0,X1),sep(X2,sep(lseg(X0,X3),X4)))) ),
inference(paramodulation,[status(thm)],[f36,f45]) ).
fof(f96,plain,
! [X0,X1,X2,X3,X4] :
( X1 = X3
| X1 = X2
| ~ heap(sep(X0,sep(lseg(X1,X2),sep(lseg(X1,X3),X4)))) ),
inference(paramodulation,[status(thm)],[f36,f90]) ).
fof(f106,plain,
! [X0,X1,X2,X3,X4,X5] :
( X1 = X4
| X1 = X2
| ~ heap(sep(X0,sep(lseg(X1,X2),sep(X3,sep(lseg(X1,X4),X5))))) ),
inference(paramodulation,[status(thm)],[f36,f96]) ).
fof(f177,plain,
! [X0,X1,X2,X3,X4,X5] :
( X2 = X4
| X2 = X3
| ~ heap(sep(X0,sep(X1,sep(lseg(X2,X3),sep(lseg(X2,X4),X5))))) ),
inference(paramodulation,[status(thm)],[f36,f106]) ).
fof(f207,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( X2 = X5
| X2 = X3
| ~ heap(sep(X0,sep(X1,sep(lseg(X2,X3),sep(X4,sep(lseg(X2,X5),X6)))))) ),
inference(paramodulation,[status(thm)],[f36,f177]) ).
fof(f267,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( X3 = X5
| X3 = X4
| ~ heap(sep(X0,sep(X1,sep(X2,sep(lseg(X3,X4),sep(lseg(X3,X5),X6)))))) ),
inference(paramodulation,[status(thm)],[f36,f207]) ).
fof(f308,plain,
heap(sep(lseg(x18,x15),sep(lseg(x10,x1),sep(lseg(x1,x14),sep(lseg(x1,x3),sep(lseg(x12,x13),sep(lseg(x2,x5),sep(lseg(x2,x12),sep(lseg(x2,x18),sep(lseg(x2,x8),sep(lseg(x9,x5),sep(lseg(x7,x5),sep(lseg(x11,x9),sep(lseg(x11,x7),emp)))))))))))))),
inference(forward_demodulation,[status(thm)],[f36,f76]) ).
fof(f309,plain,
heap(sep(lseg(x18,x15),sep(lseg(x1,x14),sep(lseg(x10,x1),sep(lseg(x1,x3),sep(lseg(x12,x13),sep(lseg(x2,x5),sep(lseg(x2,x12),sep(lseg(x2,x18),sep(lseg(x2,x8),sep(lseg(x9,x5),sep(lseg(x7,x5),sep(lseg(x11,x9),sep(lseg(x11,x7),emp)))))))))))))),
inference(forward_demodulation,[status(thm)],[f36,f308]) ).
fof(f310,plain,
heap(sep(lseg(x18,x15),sep(lseg(x1,x14),sep(lseg(x1,x3),sep(lseg(x10,x1),sep(lseg(x12,x13),sep(lseg(x2,x5),sep(lseg(x2,x12),sep(lseg(x2,x18),sep(lseg(x2,x8),sep(lseg(x9,x5),sep(lseg(x7,x5),sep(lseg(x11,x9),sep(lseg(x11,x7),emp)))))))))))))),
inference(forward_demodulation,[status(thm)],[f36,f309]) ).
fof(f311,plain,
heap(sep(lseg(x18,x15),sep(lseg(x1,x3),sep(lseg(x1,x14),sep(lseg(x10,x1),sep(lseg(x12,x13),sep(lseg(x2,x5),sep(lseg(x2,x12),sep(lseg(x2,x18),sep(lseg(x2,x8),sep(lseg(x9,x5),sep(lseg(x7,x5),sep(lseg(x11,x9),sep(lseg(x11,x7),emp)))))))))))))),
inference(forward_demodulation,[status(thm)],[f36,f310]) ).
fof(f312,plain,
heap(sep(lseg(x18,x15),sep(lseg(x1,x3),sep(lseg(x1,x14),sep(lseg(x10,x1),sep(lseg(x2,x5),sep(lseg(x12,x13),sep(lseg(x2,x12),sep(lseg(x2,x18),sep(lseg(x2,x8),sep(lseg(x9,x5),sep(lseg(x7,x5),sep(lseg(x11,x9),sep(lseg(x11,x7),emp)))))))))))))),
inference(forward_demodulation,[status(thm)],[f36,f311]) ).
fof(f313,plain,
heap(sep(lseg(x18,x15),sep(lseg(x1,x3),sep(lseg(x1,x14),sep(lseg(x2,x5),sep(lseg(x10,x1),sep(lseg(x12,x13),sep(lseg(x2,x12),sep(lseg(x2,x18),sep(lseg(x2,x8),sep(lseg(x9,x5),sep(lseg(x7,x5),sep(lseg(x11,x9),sep(lseg(x11,x7),emp)))))))))))))),
inference(forward_demodulation,[status(thm)],[f36,f312]) ).
fof(f314,plain,
heap(sep(lseg(x18,x15),sep(lseg(x1,x3),sep(lseg(x2,x5),sep(lseg(x1,x14),sep(lseg(x10,x1),sep(lseg(x12,x13),sep(lseg(x2,x12),sep(lseg(x2,x18),sep(lseg(x2,x8),sep(lseg(x9,x5),sep(lseg(x7,x5),sep(lseg(x11,x9),sep(lseg(x11,x7),emp)))))))))))))),
inference(forward_demodulation,[status(thm)],[f36,f313]) ).
fof(f315,plain,
heap(sep(lseg(x18,x15),sep(lseg(x2,x5),sep(lseg(x1,x3),sep(lseg(x1,x14),sep(lseg(x10,x1),sep(lseg(x12,x13),sep(lseg(x2,x12),sep(lseg(x2,x18),sep(lseg(x2,x8),sep(lseg(x9,x5),sep(lseg(x7,x5),sep(lseg(x11,x9),sep(lseg(x11,x7),emp)))))))))))))),
inference(forward_demodulation,[status(thm)],[f36,f314]) ).
fof(f316,plain,
heap(sep(lseg(x18,x15),sep(lseg(x2,x5),sep(lseg(x1,x3),sep(lseg(x1,x14),sep(lseg(x10,x1),sep(lseg(x2,x12),sep(lseg(x12,x13),sep(lseg(x2,x18),sep(lseg(x2,x8),sep(lseg(x9,x5),sep(lseg(x7,x5),sep(lseg(x11,x9),sep(lseg(x11,x7),emp)))))))))))))),
inference(forward_demodulation,[status(thm)],[f36,f315]) ).
fof(f317,plain,
heap(sep(lseg(x18,x15),sep(lseg(x2,x5),sep(lseg(x1,x3),sep(lseg(x1,x14),sep(lseg(x2,x12),sep(lseg(x10,x1),sep(lseg(x12,x13),sep(lseg(x2,x18),sep(lseg(x2,x8),sep(lseg(x9,x5),sep(lseg(x7,x5),sep(lseg(x11,x9),sep(lseg(x11,x7),emp)))))))))))))),
inference(forward_demodulation,[status(thm)],[f36,f316]) ).
fof(f318,plain,
heap(sep(lseg(x18,x15),sep(lseg(x2,x5),sep(lseg(x1,x3),sep(lseg(x2,x12),sep(lseg(x1,x14),sep(lseg(x10,x1),sep(lseg(x12,x13),sep(lseg(x2,x18),sep(lseg(x2,x8),sep(lseg(x9,x5),sep(lseg(x7,x5),sep(lseg(x11,x9),sep(lseg(x11,x7),emp)))))))))))))),
inference(forward_demodulation,[status(thm)],[f36,f317]) ).
fof(f319,plain,
heap(sep(lseg(x18,x15),sep(lseg(x2,x5),sep(lseg(x2,x12),sep(lseg(x1,x3),sep(lseg(x1,x14),sep(lseg(x10,x1),sep(lseg(x12,x13),sep(lseg(x2,x18),sep(lseg(x2,x8),sep(lseg(x9,x5),sep(lseg(x7,x5),sep(lseg(x11,x9),sep(lseg(x11,x7),emp)))))))))))))),
inference(forward_demodulation,[status(thm)],[f36,f318]) ).
fof(f320,plain,
heap(sep(lseg(x18,x15),sep(lseg(x2,x5),sep(lseg(x2,x12),sep(lseg(x1,x3),sep(lseg(x1,x14),sep(lseg(x10,x1),sep(lseg(x2,x18),sep(lseg(x12,x13),sep(lseg(x2,x8),sep(lseg(x9,x5),sep(lseg(x7,x5),sep(lseg(x11,x9),sep(lseg(x11,x7),emp)))))))))))))),
inference(forward_demodulation,[status(thm)],[f36,f319]) ).
fof(f321,plain,
heap(sep(lseg(x18,x15),sep(lseg(x2,x5),sep(lseg(x2,x12),sep(lseg(x1,x3),sep(lseg(x1,x14),sep(lseg(x2,x18),sep(lseg(x10,x1),sep(lseg(x12,x13),sep(lseg(x2,x8),sep(lseg(x9,x5),sep(lseg(x7,x5),sep(lseg(x11,x9),sep(lseg(x11,x7),emp)))))))))))))),
inference(forward_demodulation,[status(thm)],[f36,f320]) ).
fof(f322,plain,
heap(sep(lseg(x18,x15),sep(lseg(x2,x5),sep(lseg(x2,x12),sep(lseg(x1,x3),sep(lseg(x2,x18),sep(lseg(x1,x14),sep(lseg(x10,x1),sep(lseg(x12,x13),sep(lseg(x2,x8),sep(lseg(x9,x5),sep(lseg(x7,x5),sep(lseg(x11,x9),sep(lseg(x11,x7),emp)))))))))))))),
inference(forward_demodulation,[status(thm)],[f36,f321]) ).
fof(f323,plain,
heap(sep(lseg(x18,x15),sep(lseg(x2,x5),sep(lseg(x2,x12),sep(lseg(x2,x18),sep(lseg(x1,x3),sep(lseg(x1,x14),sep(lseg(x10,x1),sep(lseg(x12,x13),sep(lseg(x2,x8),sep(lseg(x9,x5),sep(lseg(x7,x5),sep(lseg(x11,x9),sep(lseg(x11,x7),emp)))))))))))))),
inference(forward_demodulation,[status(thm)],[f36,f322]) ).
fof(f324,plain,
heap(sep(lseg(x18,x15),sep(lseg(x2,x5),sep(lseg(x2,x18),sep(lseg(x2,x12),sep(lseg(x1,x3),sep(lseg(x1,x14),sep(lseg(x10,x1),sep(lseg(x12,x13),sep(lseg(x2,x8),sep(lseg(x9,x5),sep(lseg(x7,x5),sep(lseg(x11,x9),sep(lseg(x11,x7),emp)))))))))))))),
inference(forward_demodulation,[status(thm)],[f36,f323]) ).
fof(f325,plain,
heap(sep(lseg(x18,x15),sep(lseg(x2,x5),sep(lseg(x2,x18),sep(lseg(x2,x12),sep(lseg(x1,x3),sep(lseg(x1,x14),sep(lseg(x10,x1),sep(lseg(x2,x8),sep(lseg(x12,x13),sep(lseg(x9,x5),sep(lseg(x7,x5),sep(lseg(x11,x9),sep(lseg(x11,x7),emp)))))))))))))),
inference(forward_demodulation,[status(thm)],[f36,f324]) ).
fof(f326,plain,
heap(sep(lseg(x18,x15),sep(lseg(x2,x5),sep(lseg(x2,x18),sep(lseg(x2,x12),sep(lseg(x1,x3),sep(lseg(x1,x14),sep(lseg(x2,x8),sep(lseg(x10,x1),sep(lseg(x12,x13),sep(lseg(x9,x5),sep(lseg(x7,x5),sep(lseg(x11,x9),sep(lseg(x11,x7),emp)))))))))))))),
inference(forward_demodulation,[status(thm)],[f36,f325]) ).
fof(f327,plain,
heap(sep(lseg(x18,x15),sep(lseg(x2,x5),sep(lseg(x2,x18),sep(lseg(x2,x12),sep(lseg(x1,x3),sep(lseg(x2,x8),sep(lseg(x1,x14),sep(lseg(x10,x1),sep(lseg(x12,x13),sep(lseg(x9,x5),sep(lseg(x7,x5),sep(lseg(x11,x9),sep(lseg(x11,x7),emp)))))))))))))),
inference(forward_demodulation,[status(thm)],[f36,f326]) ).
fof(f328,plain,
heap(sep(lseg(x18,x15),sep(lseg(x2,x5),sep(lseg(x2,x18),sep(lseg(x2,x12),sep(lseg(x2,x8),sep(lseg(x1,x3),sep(lseg(x1,x14),sep(lseg(x10,x1),sep(lseg(x12,x13),sep(lseg(x9,x5),sep(lseg(x7,x5),sep(lseg(x11,x9),sep(lseg(x11,x7),emp)))))))))))))),
inference(forward_demodulation,[status(thm)],[f36,f327]) ).
fof(f329,plain,
heap(sep(lseg(x18,x15),sep(lseg(x2,x5),sep(lseg(x2,x18),sep(lseg(x2,x8),sep(lseg(x2,x12),sep(lseg(x1,x3),sep(lseg(x1,x14),sep(lseg(x10,x1),sep(lseg(x12,x13),sep(lseg(x9,x5),sep(lseg(x7,x5),sep(lseg(x11,x9),sep(lseg(x11,x7),emp)))))))))))))),
inference(forward_demodulation,[status(thm)],[f36,f328]) ).
fof(f330,plain,
heap(sep(lseg(x18,x15),sep(lseg(x2,x5),sep(lseg(x2,x18),sep(lseg(x2,x8),sep(lseg(x2,x12),sep(lseg(x1,x3),sep(lseg(x1,x14),sep(lseg(x10,x1),sep(lseg(x9,x5),sep(lseg(x12,x13),sep(lseg(x7,x5),sep(lseg(x11,x9),sep(lseg(x11,x7),emp)))))))))))))),
inference(forward_demodulation,[status(thm)],[f36,f329]) ).
fof(f331,plain,
heap(sep(lseg(x18,x15),sep(lseg(x2,x5),sep(lseg(x2,x18),sep(lseg(x2,x8),sep(lseg(x2,x12),sep(lseg(x1,x3),sep(lseg(x1,x14),sep(lseg(x9,x5),sep(lseg(x10,x1),sep(lseg(x12,x13),sep(lseg(x7,x5),sep(lseg(x11,x9),sep(lseg(x11,x7),emp)))))))))))))),
inference(forward_demodulation,[status(thm)],[f36,f330]) ).
fof(f332,plain,
heap(sep(lseg(x18,x15),sep(lseg(x2,x5),sep(lseg(x2,x18),sep(lseg(x2,x8),sep(lseg(x2,x12),sep(lseg(x1,x3),sep(lseg(x9,x5),sep(lseg(x1,x14),sep(lseg(x10,x1),sep(lseg(x12,x13),sep(lseg(x7,x5),sep(lseg(x11,x9),sep(lseg(x11,x7),emp)))))))))))))),
inference(forward_demodulation,[status(thm)],[f36,f331]) ).
fof(f333,plain,
heap(sep(lseg(x18,x15),sep(lseg(x2,x5),sep(lseg(x2,x18),sep(lseg(x2,x8),sep(lseg(x2,x12),sep(lseg(x9,x5),sep(lseg(x1,x3),sep(lseg(x1,x14),sep(lseg(x10,x1),sep(lseg(x12,x13),sep(lseg(x7,x5),sep(lseg(x11,x9),sep(lseg(x11,x7),emp)))))))))))))),
inference(forward_demodulation,[status(thm)],[f36,f332]) ).
fof(f334,plain,
heap(sep(lseg(x18,x15),sep(lseg(x2,x5),sep(lseg(x2,x18),sep(lseg(x2,x8),sep(lseg(x2,x12),sep(lseg(x9,x5),sep(lseg(x1,x3),sep(lseg(x1,x14),sep(lseg(x10,x1),sep(lseg(x12,x13),sep(lseg(x11,x9),sep(lseg(x7,x5),sep(lseg(x11,x7),emp)))))))))))))),
inference(forward_demodulation,[status(thm)],[f36,f333]) ).
fof(f335,plain,
heap(sep(lseg(x18,x15),sep(lseg(x2,x5),sep(lseg(x2,x18),sep(lseg(x2,x8),sep(lseg(x2,x12),sep(lseg(x9,x5),sep(lseg(x1,x3),sep(lseg(x1,x14),sep(lseg(x10,x1),sep(lseg(x11,x9),sep(lseg(x12,x13),sep(lseg(x7,x5),sep(lseg(x11,x7),emp)))))))))))))),
inference(forward_demodulation,[status(thm)],[f36,f334]) ).
fof(f336,plain,
heap(sep(lseg(x18,x15),sep(lseg(x2,x5),sep(lseg(x2,x18),sep(lseg(x2,x8),sep(lseg(x2,x12),sep(lseg(x9,x5),sep(lseg(x1,x3),sep(lseg(x1,x14),sep(lseg(x11,x9),sep(lseg(x10,x1),sep(lseg(x12,x13),sep(lseg(x7,x5),sep(lseg(x11,x7),emp)))))))))))))),
inference(forward_demodulation,[status(thm)],[f36,f335]) ).
fof(f337,plain,
heap(sep(lseg(x18,x15),sep(lseg(x2,x5),sep(lseg(x2,x18),sep(lseg(x2,x8),sep(lseg(x2,x12),sep(lseg(x9,x5),sep(lseg(x1,x3),sep(lseg(x11,x9),sep(lseg(x1,x14),sep(lseg(x10,x1),sep(lseg(x12,x13),sep(lseg(x7,x5),sep(lseg(x11,x7),emp)))))))))))))),
inference(forward_demodulation,[status(thm)],[f36,f336]) ).
fof(f338,plain,
heap(sep(lseg(x18,x15),sep(lseg(x2,x5),sep(lseg(x2,x18),sep(lseg(x2,x8),sep(lseg(x2,x12),sep(lseg(x9,x5),sep(lseg(x11,x9),sep(lseg(x1,x3),sep(lseg(x1,x14),sep(lseg(x10,x1),sep(lseg(x12,x13),sep(lseg(x7,x5),sep(lseg(x11,x7),emp)))))))))))))),
inference(forward_demodulation,[status(thm)],[f36,f337]) ).
fof(f339,plain,
heap(sep(lseg(x18,x15),sep(lseg(x2,x5),sep(lseg(x2,x18),sep(lseg(x2,x8),sep(lseg(x2,x12),sep(lseg(x11,x9),sep(lseg(x9,x5),sep(lseg(x1,x3),sep(lseg(x1,x14),sep(lseg(x10,x1),sep(lseg(x12,x13),sep(lseg(x7,x5),sep(lseg(x11,x7),emp)))))))))))))),
inference(forward_demodulation,[status(thm)],[f36,f338]) ).
fof(f340,plain,
heap(sep(lseg(x18,x15),sep(lseg(x2,x5),sep(lseg(x2,x18),sep(lseg(x2,x8),sep(lseg(x11,x9),sep(lseg(x2,x12),sep(lseg(x9,x5),sep(lseg(x1,x3),sep(lseg(x1,x14),sep(lseg(x10,x1),sep(lseg(x12,x13),sep(lseg(x7,x5),sep(lseg(x11,x7),emp)))))))))))))),
inference(forward_demodulation,[status(thm)],[f36,f339]) ).
fof(f341,plain,
heap(sep(lseg(x18,x15),sep(lseg(x2,x5),sep(lseg(x2,x18),sep(lseg(x11,x9),sep(lseg(x2,x8),sep(lseg(x2,x12),sep(lseg(x9,x5),sep(lseg(x1,x3),sep(lseg(x1,x14),sep(lseg(x10,x1),sep(lseg(x12,x13),sep(lseg(x7,x5),sep(lseg(x11,x7),emp)))))))))))))),
inference(forward_demodulation,[status(thm)],[f36,f340]) ).
fof(f342,plain,
heap(sep(lseg(x18,x15),sep(lseg(x2,x5),sep(lseg(x11,x9),sep(lseg(x2,x18),sep(lseg(x2,x8),sep(lseg(x2,x12),sep(lseg(x9,x5),sep(lseg(x1,x3),sep(lseg(x1,x14),sep(lseg(x10,x1),sep(lseg(x12,x13),sep(lseg(x7,x5),sep(lseg(x11,x7),emp)))))))))))))),
inference(forward_demodulation,[status(thm)],[f36,f341]) ).
fof(f343,plain,
heap(sep(lseg(x18,x15),sep(lseg(x11,x9),sep(lseg(x2,x5),sep(lseg(x2,x18),sep(lseg(x2,x8),sep(lseg(x2,x12),sep(lseg(x9,x5),sep(lseg(x1,x3),sep(lseg(x1,x14),sep(lseg(x10,x1),sep(lseg(x12,x13),sep(lseg(x7,x5),sep(lseg(x11,x7),emp)))))))))))))),
inference(forward_demodulation,[status(thm)],[f36,f342]) ).
fof(f344,plain,
heap(sep(lseg(x11,x9),sep(lseg(x18,x15),sep(lseg(x2,x5),sep(lseg(x2,x18),sep(lseg(x2,x8),sep(lseg(x2,x12),sep(lseg(x9,x5),sep(lseg(x1,x3),sep(lseg(x1,x14),sep(lseg(x10,x1),sep(lseg(x12,x13),sep(lseg(x7,x5),sep(lseg(x11,x7),emp)))))))))))))),
inference(forward_demodulation,[status(thm)],[f36,f343]) ).
fof(f345,plain,
heap(sep(lseg(x11,x9),sep(lseg(x18,x15),sep(lseg(x2,x5),sep(lseg(x2,x18),sep(lseg(x2,x8),sep(lseg(x2,x12),sep(lseg(x9,x5),sep(lseg(x1,x3),sep(lseg(x1,x14),sep(lseg(x10,x1),sep(lseg(x12,x13),sep(lseg(x11,x7),sep(lseg(x7,x5),emp)))))))))))))),
inference(forward_demodulation,[status(thm)],[f36,f344]) ).
fof(f346,plain,
heap(sep(lseg(x11,x9),sep(lseg(x18,x15),sep(lseg(x2,x5),sep(lseg(x2,x18),sep(lseg(x2,x8),sep(lseg(x2,x12),sep(lseg(x9,x5),sep(lseg(x1,x3),sep(lseg(x1,x14),sep(lseg(x10,x1),sep(lseg(x11,x7),sep(lseg(x12,x13),sep(lseg(x7,x5),emp)))))))))))))),
inference(forward_demodulation,[status(thm)],[f36,f345]) ).
fof(f347,plain,
heap(sep(lseg(x11,x9),sep(lseg(x18,x15),sep(lseg(x2,x5),sep(lseg(x2,x18),sep(lseg(x2,x8),sep(lseg(x2,x12),sep(lseg(x9,x5),sep(lseg(x1,x3),sep(lseg(x1,x14),sep(lseg(x11,x7),sep(lseg(x10,x1),sep(lseg(x12,x13),sep(lseg(x7,x5),emp)))))))))))))),
inference(forward_demodulation,[status(thm)],[f36,f346]) ).
fof(f348,plain,
heap(sep(lseg(x11,x9),sep(lseg(x18,x15),sep(lseg(x2,x5),sep(lseg(x2,x18),sep(lseg(x2,x8),sep(lseg(x2,x12),sep(lseg(x9,x5),sep(lseg(x1,x3),sep(lseg(x11,x7),sep(lseg(x1,x14),sep(lseg(x10,x1),sep(lseg(x12,x13),sep(lseg(x7,x5),emp)))))))))))))),
inference(forward_demodulation,[status(thm)],[f36,f347]) ).
fof(f349,plain,
heap(sep(lseg(x11,x9),sep(lseg(x18,x15),sep(lseg(x2,x5),sep(lseg(x2,x18),sep(lseg(x2,x8),sep(lseg(x2,x12),sep(lseg(x9,x5),sep(lseg(x11,x7),sep(lseg(x1,x3),sep(lseg(x1,x14),sep(lseg(x10,x1),sep(lseg(x12,x13),sep(lseg(x7,x5),emp)))))))))))))),
inference(forward_demodulation,[status(thm)],[f36,f348]) ).
fof(f350,plain,
heap(sep(lseg(x11,x9),sep(lseg(x18,x15),sep(lseg(x2,x5),sep(lseg(x2,x18),sep(lseg(x2,x8),sep(lseg(x2,x12),sep(lseg(x11,x7),sep(lseg(x9,x5),sep(lseg(x1,x3),sep(lseg(x1,x14),sep(lseg(x10,x1),sep(lseg(x12,x13),sep(lseg(x7,x5),emp)))))))))))))),
inference(forward_demodulation,[status(thm)],[f36,f349]) ).
fof(f351,plain,
heap(sep(lseg(x11,x9),sep(lseg(x18,x15),sep(lseg(x2,x5),sep(lseg(x2,x18),sep(lseg(x2,x8),sep(lseg(x11,x7),sep(lseg(x2,x12),sep(lseg(x9,x5),sep(lseg(x1,x3),sep(lseg(x1,x14),sep(lseg(x10,x1),sep(lseg(x12,x13),sep(lseg(x7,x5),emp)))))))))))))),
inference(forward_demodulation,[status(thm)],[f36,f350]) ).
fof(f352,plain,
heap(sep(lseg(x11,x9),sep(lseg(x18,x15),sep(lseg(x2,x5),sep(lseg(x2,x18),sep(lseg(x11,x7),sep(lseg(x2,x8),sep(lseg(x2,x12),sep(lseg(x9,x5),sep(lseg(x1,x3),sep(lseg(x1,x14),sep(lseg(x10,x1),sep(lseg(x12,x13),sep(lseg(x7,x5),emp)))))))))))))),
inference(forward_demodulation,[status(thm)],[f36,f351]) ).
fof(f353,plain,
heap(sep(lseg(x11,x9),sep(lseg(x18,x15),sep(lseg(x2,x5),sep(lseg(x11,x7),sep(lseg(x2,x18),sep(lseg(x2,x8),sep(lseg(x2,x12),sep(lseg(x9,x5),sep(lseg(x1,x3),sep(lseg(x1,x14),sep(lseg(x10,x1),sep(lseg(x12,x13),sep(lseg(x7,x5),emp)))))))))))))),
inference(forward_demodulation,[status(thm)],[f36,f352]) ).
fof(f354,plain,
heap(sep(lseg(x11,x9),sep(lseg(x18,x15),sep(lseg(x11,x7),sep(lseg(x2,x5),sep(lseg(x2,x18),sep(lseg(x2,x8),sep(lseg(x2,x12),sep(lseg(x9,x5),sep(lseg(x1,x3),sep(lseg(x1,x14),sep(lseg(x10,x1),sep(lseg(x12,x13),sep(lseg(x7,x5),emp)))))))))))))),
inference(forward_demodulation,[status(thm)],[f36,f353]) ).
fof(f355,plain,
heap(sep(lseg(x11,x9),sep(lseg(x11,x7),sep(lseg(x18,x15),sep(lseg(x2,x5),sep(lseg(x2,x18),sep(lseg(x2,x8),sep(lseg(x2,x12),sep(lseg(x9,x5),sep(lseg(x1,x3),sep(lseg(x1,x14),sep(lseg(x10,x1),sep(lseg(x12,x13),sep(lseg(x7,x5),emp)))))))))))))),
inference(forward_demodulation,[status(thm)],[f36,f354]) ).
fof(f587,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( X3 = X4
| X3 = X6
| ~ heap(sep(X0,sep(X1,sep(X2,sep(lseg(X3,X4),sep(X5,sep(lseg(X3,X6),X7))))))) ),
inference(paramodulation,[status(thm)],[f80,f267]) ).
fof(f921,plain,
( x2 = x5
| x2 = x8 ),
inference(resolution,[status(thm)],[f587,f355]) ).
fof(f952,plain,
x2 = x5,
inference(forward_subsumption_resolution,[status(thm)],[f921,f61]) ).
fof(f983,plain,
heap(sep(lseg(x11,x9),sep(lseg(x11,x7),sep(lseg(x18,x15),sep(lseg(x2,x5),sep(lseg(x2,x18),sep(lseg(x2,x8),sep(lseg(x5,x12),sep(lseg(x9,x5),sep(lseg(x1,x3),sep(lseg(x1,x14),sep(lseg(x10,x1),sep(lseg(x12,x13),sep(lseg(x7,x5),emp)))))))))))))),
inference(backward_demodulation,[status(thm)],[f952,f355]) ).
fof(f985,plain,
x5 != x13,
inference(backward_demodulation,[status(thm)],[f952,f62]) ).
fof(f986,plain,
x5 != x8,
inference(backward_demodulation,[status(thm)],[f952,f61]) ).
fof(f987,plain,
heap(sep(lseg(x11,x9),sep(lseg(x11,x7),sep(lseg(x18,x15),sep(lseg(x5,x5),sep(lseg(x2,x18),sep(lseg(x2,x8),sep(lseg(x5,x12),sep(lseg(x9,x5),sep(lseg(x1,x3),sep(lseg(x1,x14),sep(lseg(x10,x1),sep(lseg(x12,x13),sep(lseg(x7,x5),emp)))))))))))))),
inference(forward_demodulation,[status(thm)],[f952,f983]) ).
fof(f988,plain,
heap(sep(lseg(x11,x9),sep(lseg(x11,x7),sep(lseg(x5,x5),sep(lseg(x2,x18),sep(lseg(x18,x15),sep(lseg(x2,x8),sep(lseg(x5,x12),sep(lseg(x9,x5),sep(lseg(x1,x3),sep(lseg(x1,x14),sep(lseg(x10,x1),sep(lseg(x12,x13),sep(lseg(x7,x5),emp)))))))))))))),
inference(forward_demodulation,[status(thm)],[f80,f987]) ).
fof(f989,plain,
heap(sep(lseg(x11,x9),sep(lseg(x11,x7),sep(lseg(x2,x18),sep(lseg(x18,x15),sep(lseg(x2,x8),sep(lseg(x5,x12),sep(lseg(x9,x5),sep(lseg(x1,x3),sep(lseg(x1,x14),sep(lseg(x10,x1),sep(lseg(x12,x13),sep(lseg(x7,x5),emp))))))))))))),
inference(forward_demodulation,[status(thm)],[f37,f988]) ).
fof(f990,plain,
heap(sep(lseg(x11,x9),sep(lseg(x11,x7),sep(lseg(x18,x15),sep(lseg(x2,x8),sep(lseg(x2,x18),sep(lseg(x5,x12),sep(lseg(x9,x5),sep(lseg(x1,x3),sep(lseg(x1,x14),sep(lseg(x10,x1),sep(lseg(x12,x13),sep(lseg(x7,x5),emp))))))))))))),
inference(forward_demodulation,[status(thm)],[f80,f989]) ).
fof(f991,plain,
heap(sep(lseg(x11,x9),sep(lseg(x11,x7),sep(lseg(x18,x15),sep(lseg(x2,x18),sep(lseg(x5,x12),sep(lseg(x2,x8),sep(lseg(x9,x5),sep(lseg(x1,x3),sep(lseg(x1,x14),sep(lseg(x10,x1),sep(lseg(x12,x13),sep(lseg(x7,x5),emp))))))))))))),
inference(forward_demodulation,[status(thm)],[f80,f990]) ).
fof(f992,plain,
heap(sep(lseg(x11,x9),sep(lseg(x11,x7),sep(lseg(x5,x12),sep(lseg(x18,x15),sep(lseg(x2,x18),sep(lseg(x2,x8),sep(lseg(x9,x5),sep(lseg(x1,x3),sep(lseg(x1,x14),sep(lseg(x10,x1),sep(lseg(x12,x13),sep(lseg(x7,x5),emp))))))))))))),
inference(forward_demodulation,[status(thm)],[f80,f991]) ).
fof(f993,plain,
heap(sep(lseg(x11,x9),sep(lseg(x11,x7),sep(lseg(x5,x12),sep(lseg(x18,x15),sep(lseg(x5,x18),sep(lseg(x2,x8),sep(lseg(x9,x5),sep(lseg(x1,x3),sep(lseg(x1,x14),sep(lseg(x10,x1),sep(lseg(x12,x13),sep(lseg(x7,x5),emp))))))))))))),
inference(forward_demodulation,[status(thm)],[f952,f992]) ).
fof(f994,plain,
heap(sep(lseg(x11,x9),sep(lseg(x11,x7),sep(lseg(x5,x18),sep(lseg(x5,x12),sep(lseg(x18,x15),sep(lseg(x2,x8),sep(lseg(x9,x5),sep(lseg(x1,x3),sep(lseg(x1,x14),sep(lseg(x10,x1),sep(lseg(x12,x13),sep(lseg(x7,x5),emp))))))))))))),
inference(forward_demodulation,[status(thm)],[f80,f993]) ).
fof(f995,plain,
heap(sep(lseg(x11,x9),sep(lseg(x11,x7),sep(lseg(x5,x18),sep(lseg(x5,x12),sep(lseg(x18,x15),sep(lseg(x5,x8),sep(lseg(x9,x5),sep(lseg(x1,x3),sep(lseg(x1,x14),sep(lseg(x10,x1),sep(lseg(x12,x13),sep(lseg(x7,x5),emp))))))))))))),
inference(forward_demodulation,[status(thm)],[f952,f994]) ).
fof(f996,plain,
heap(sep(lseg(x11,x9),sep(lseg(x11,x7),sep(lseg(x5,x18),sep(lseg(x5,x8),sep(lseg(x5,x12),sep(lseg(x18,x15),sep(lseg(x9,x5),sep(lseg(x1,x3),sep(lseg(x1,x14),sep(lseg(x10,x1),sep(lseg(x12,x13),sep(lseg(x7,x5),emp))))))))))))),
inference(forward_demodulation,[status(thm)],[f80,f995]) ).
fof(f999,plain,
( x5 = x8
| x5 = x18 ),
inference(resolution,[status(thm)],[f996,f177]) ).
fof(f1001,plain,
( x5 = x12
| x5 = x8 ),
inference(resolution,[status(thm)],[f996,f267]) ).
fof(f1015,plain,
x5 = x18,
inference(forward_subsumption_resolution,[status(thm)],[f999,f986]) ).
fof(f1016,plain,
x5 = x12,
inference(forward_subsumption_resolution,[status(thm)],[f1001,f986]) ).
fof(f1061,plain,
heap(sep(lseg(x11,x9),sep(lseg(x11,x7),sep(lseg(x5,x18),sep(lseg(x5,x8),sep(lseg(x5,x12),sep(lseg(x5,x15),sep(lseg(x9,x5),sep(lseg(x1,x3),sep(lseg(x1,x14),sep(lseg(x10,x1),sep(lseg(x12,x13),sep(lseg(x7,x5),emp))))))))))))),
inference(backward_demodulation,[status(thm)],[f1015,f996]) ).
fof(f1065,plain,
heap(sep(lseg(x11,x9),sep(lseg(x11,x7),sep(lseg(x5,x5),sep(lseg(x5,x8),sep(lseg(x5,x12),sep(lseg(x5,x15),sep(lseg(x9,x5),sep(lseg(x1,x3),sep(lseg(x1,x14),sep(lseg(x10,x1),sep(lseg(x12,x13),sep(lseg(x7,x5),emp))))))))))))),
inference(forward_demodulation,[status(thm)],[f1015,f1061]) ).
fof(f1066,plain,
heap(sep(lseg(x11,x9),sep(lseg(x11,x7),sep(lseg(x5,x8),sep(lseg(x5,x12),sep(lseg(x5,x15),sep(lseg(x9,x5),sep(lseg(x1,x3),sep(lseg(x1,x14),sep(lseg(x10,x1),sep(lseg(x12,x13),sep(lseg(x7,x5),emp)))))))))))),
inference(forward_demodulation,[status(thm)],[f37,f1065]) ).
fof(f1067,plain,
heap(sep(lseg(x11,x9),sep(lseg(x11,x7),sep(lseg(x5,x15),sep(lseg(x5,x8),sep(lseg(x5,x12),sep(lseg(x9,x5),sep(lseg(x1,x3),sep(lseg(x1,x14),sep(lseg(x10,x1),sep(lseg(x12,x13),sep(lseg(x7,x5),emp)))))))))))),
inference(forward_demodulation,[status(thm)],[f80,f1066]) ).
fof(f1068,plain,
heap(sep(lseg(x11,x9),sep(lseg(x11,x7),sep(lseg(x5,x15),sep(lseg(x5,x8),sep(lseg(x5,x5),sep(lseg(x9,x5),sep(lseg(x1,x3),sep(lseg(x1,x14),sep(lseg(x10,x1),sep(lseg(x12,x13),sep(lseg(x7,x5),emp)))))))))))),
inference(forward_demodulation,[status(thm)],[f1016,f1067]) ).
fof(f1069,plain,
heap(sep(lseg(x11,x9),sep(lseg(x11,x7),sep(lseg(x5,x15),sep(lseg(x5,x5),sep(lseg(x9,x5),sep(lseg(x5,x8),sep(lseg(x1,x3),sep(lseg(x1,x14),sep(lseg(x10,x1),sep(lseg(x12,x13),sep(lseg(x7,x5),emp)))))))))))),
inference(forward_demodulation,[status(thm)],[f80,f1068]) ).
fof(f1070,plain,
heap(sep(lseg(x11,x9),sep(lseg(x11,x7),sep(lseg(x5,x15),sep(lseg(x9,x5),sep(lseg(x5,x8),sep(lseg(x1,x3),sep(lseg(x1,x14),sep(lseg(x10,x1),sep(lseg(x12,x13),sep(lseg(x7,x5),emp))))))))))),
inference(forward_demodulation,[status(thm)],[f37,f1069]) ).
fof(f1071,plain,
heap(sep(lseg(x11,x9),sep(lseg(x11,x7),sep(lseg(x5,x15),sep(lseg(x5,x8),sep(lseg(x1,x3),sep(lseg(x9,x5),sep(lseg(x1,x14),sep(lseg(x10,x1),sep(lseg(x12,x13),sep(lseg(x7,x5),emp))))))))))),
inference(forward_demodulation,[status(thm)],[f80,f1070]) ).
fof(f1072,plain,
heap(sep(lseg(x11,x9),sep(lseg(x11,x7),sep(lseg(x5,x15),sep(lseg(x5,x8),sep(lseg(x9,x5),sep(lseg(x1,x14),sep(lseg(x1,x3),sep(lseg(x10,x1),sep(lseg(x12,x13),sep(lseg(x7,x5),emp))))))))))),
inference(forward_demodulation,[status(thm)],[f80,f1071]) ).
fof(f1073,plain,
heap(sep(lseg(x11,x9),sep(lseg(x11,x7),sep(lseg(x5,x15),sep(lseg(x5,x8),sep(lseg(x9,x5),sep(lseg(x1,x3),sep(lseg(x10,x1),sep(lseg(x1,x14),sep(lseg(x12,x13),sep(lseg(x7,x5),emp))))))))))),
inference(forward_demodulation,[status(thm)],[f80,f1072]) ).
fof(f1074,plain,
heap(sep(lseg(x11,x9),sep(lseg(x11,x7),sep(lseg(x5,x15),sep(lseg(x5,x8),sep(lseg(x9,x5),sep(lseg(x1,x3),sep(lseg(x1,x14),sep(lseg(x12,x13),sep(lseg(x10,x1),sep(lseg(x7,x5),emp))))))))))),
inference(forward_demodulation,[status(thm)],[f80,f1073]) ).
fof(f1075,plain,
heap(sep(lseg(x11,x9),sep(lseg(x11,x7),sep(lseg(x5,x15),sep(lseg(x5,x8),sep(lseg(x9,x5),sep(lseg(x1,x3),sep(lseg(x1,x14),sep(lseg(x10,x1),sep(lseg(x7,x5),sep(lseg(x12,x13),emp))))))))))),
inference(forward_demodulation,[status(thm)],[f80,f1074]) ).
fof(f1076,plain,
heap(sep(lseg(x11,x9),sep(lseg(x11,x7),sep(lseg(x5,x15),sep(lseg(x5,x8),sep(lseg(x9,x5),sep(lseg(x1,x3),sep(lseg(x1,x14),sep(lseg(x10,x1),sep(lseg(x12,x13),sep(lseg(x7,x5),emp))))))))))),
inference(forward_demodulation,[status(thm)],[f36,f1075]) ).
fof(f1077,plain,
heap(sep(lseg(x11,x9),sep(lseg(x11,x7),sep(lseg(x5,x15),sep(lseg(x5,x8),sep(lseg(x9,x5),sep(lseg(x1,x3),sep(lseg(x1,x14),sep(lseg(x10,x1),sep(lseg(x5,x13),sep(lseg(x7,x5),emp))))))))))),
inference(forward_demodulation,[status(thm)],[f1016,f1076]) ).
fof(f1078,plain,
heap(sep(lseg(x11,x9),sep(lseg(x11,x7),sep(lseg(x5,x15),sep(lseg(x5,x8),sep(lseg(x9,x5),sep(lseg(x1,x3),sep(lseg(x5,x13),sep(lseg(x1,x14),sep(lseg(x10,x1),sep(lseg(x7,x5),emp))))))))))),
inference(forward_demodulation,[status(thm)],[f80,f1077]) ).
fof(f1079,plain,
heap(sep(lseg(x11,x9),sep(lseg(x11,x7),sep(lseg(x5,x15),sep(lseg(x5,x8),sep(lseg(x5,x13),sep(lseg(x9,x5),sep(lseg(x1,x3),sep(lseg(x1,x14),sep(lseg(x10,x1),sep(lseg(x7,x5),emp))))))))))),
inference(forward_demodulation,[status(thm)],[f80,f1078]) ).
fof(f1080,plain,
heap(sep(lseg(x11,x9),sep(lseg(x11,x7),sep(lseg(x5,x13),sep(lseg(x5,x15),sep(lseg(x5,x8),sep(lseg(x9,x5),sep(lseg(x1,x3),sep(lseg(x1,x14),sep(lseg(x10,x1),sep(lseg(x7,x5),emp))))))))))),
inference(forward_demodulation,[status(thm)],[f80,f1079]) ).
fof(f1083,plain,
( x5 = x15
| x5 = x13 ),
inference(resolution,[status(thm)],[f1080,f177]) ).
fof(f1097,plain,
x5 = x15,
inference(forward_subsumption_resolution,[status(thm)],[f1083,f985]) ).
fof(f1123,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f1097,f75]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWW443-1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n006.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Mon Sep 21 09:53:27 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.37 % Drodi V4.1.1
% 1.80/0.67 % Refutation found
% 1.80/0.67 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 1.80/0.67 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 1.80/0.70 % Elapsed time: 0.327329 seconds
% 1.80/0.70 % CPU time: 2.212121 seconds
% 1.80/0.70 % Total memory used: 123.802 MB
% 1.80/0.70 % Net memory used: 122.539 MB
%------------------------------------------------------------------------------