%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SWW437-1 : TPTP v9.3.1. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n011.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 03:07:51 PM UTC 2026
% Result : Unsatisfiable 0.07s 20.49s
% Output : CNFRefutation 0.07s
% Verified :
% SZS Type : Refutation
% Derivation depth : 49
% Number of leaves : 10
% Syntax : Number of formulae : 83 ( 48 unt; 4 def)
% Number of atoms : 135 ( 38 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 94 ( 42 ~; 48 |; 0 &)
% ( 4 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 13 ( 3 avg)
% Number of predicates : 7 ( 5 usr; 5 prp; 0-2 aty)
% Number of functors : 15 ( 15 usr; 13 con; 0-2 aty)
% Number of variables : 48 ( 48 !; 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(f17,hypothesis,
x3 != x8,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f21,hypothesis,
x7 != x16,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f38,hypothesis,
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') ).
fof(f40,plain,
! [X0,X1,X2] : sep(X0,sep(X1,X2)) = sep(X1,sep(X0,X2)),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f41,plain,
! [X0,X1] : sep(lseg(X0,X0),X1) = X1,
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f48,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(f49,plain,
! [X0,X1,X2,X3] :
( X0 = X2
| X0 = X1
| ~ heap(sep(lseg(X0,X1),sep(lseg(X0,X2),X3))) ),
inference(cnf_transformation,[status(thm)],[f48]) ).
fof(f63,plain,
x3 != x8,
inference(cnf_transformation,[status(thm)],[f17]) ).
fof(f67,plain,
x7 != x16,
inference(cnf_transformation,[status(thm)],[f21]) ).
fof(f84,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(cnf_transformation,[status(thm)],[f38]) ).
fof(f93,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,[status(thm)],[f40,f84]) ).
fof(f94,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,[status(thm)],[f40,f93]) ).
fof(f95,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,[status(thm)],[f40,f94]) ).
fof(f96,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,[status(thm)],[f40,f95]) ).
fof(f97,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,[status(thm)],[f40,f96]) ).
fof(f98,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,[status(thm)],[f40,f97]) ).
fof(f99,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,[status(thm)],[f40,f98]) ).
fof(f100,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,[status(thm)],[f40,f99]) ).
fof(f101,plain,
heap(sep(lseg(x16,x7),sep(lseg(x16,x3),sep(lseg(x12,x8),sep(lseg(x2,x6),sep(lseg(x10,x15),sep(lseg(x5,x1),sep(lseg(x10,x5),sep(lseg(x7,x1),sep(lseg(x3,x12),sep(lseg(x3,x16),sep(lseg(x11,x8),emp)))))))))))),
inference(forward_demodulation,[status(thm)],[f40,f100]) ).
fof(f102,plain,
heap(sep(lseg(x16,x7),sep(lseg(x16,x3),sep(lseg(x12,x8),sep(lseg(x2,x6),sep(lseg(x10,x15),sep(lseg(x10,x5),sep(lseg(x5,x1),sep(lseg(x7,x1),sep(lseg(x3,x12),sep(lseg(x3,x16),sep(lseg(x11,x8),emp)))))))))))),
inference(forward_demodulation,[status(thm)],[f40,f101]) ).
fof(f103,plain,
heap(sep(lseg(x16,x7),sep(lseg(x16,x3),sep(lseg(x12,x8),sep(lseg(x2,x6),sep(lseg(x10,x15),sep(lseg(x10,x5),sep(lseg(x7,x1),sep(lseg(x5,x1),sep(lseg(x3,x12),sep(lseg(x3,x16),sep(lseg(x11,x8),emp)))))))))))),
inference(forward_demodulation,[status(thm)],[f40,f102]) ).
fof(f104,plain,
heap(sep(lseg(x16,x7),sep(lseg(x16,x3),sep(lseg(x12,x8),sep(lseg(x2,x6),sep(lseg(x10,x15),sep(lseg(x7,x1),sep(lseg(x10,x5),sep(lseg(x5,x1),sep(lseg(x3,x12),sep(lseg(x3,x16),sep(lseg(x11,x8),emp)))))))))))),
inference(forward_demodulation,[status(thm)],[f40,f103]) ).
fof(f105,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,x15),sep(lseg(x10,x5),sep(lseg(x5,x1),sep(lseg(x3,x12),sep(lseg(x3,x16),sep(lseg(x11,x8),emp)))))))))))),
inference(forward_demodulation,[status(thm)],[f40,f104]) ).
fof(f106,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,x15),sep(lseg(x10,x5),sep(lseg(x5,x1),sep(lseg(x3,x12),sep(lseg(x3,x16),sep(lseg(x11,x8),emp)))))))))))),
inference(forward_demodulation,[status(thm)],[f40,f105]) ).
fof(f107,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,x15),sep(lseg(x10,x5),sep(lseg(x5,x1),sep(lseg(x3,x12),sep(lseg(x3,x16),sep(lseg(x11,x8),emp)))))))))))),
inference(forward_demodulation,[status(thm)],[f40,f106]) ).
fof(f108,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,x15),sep(lseg(x10,x5),sep(lseg(x5,x1),sep(lseg(x3,x12),sep(lseg(x3,x16),sep(lseg(x11,x8),emp)))))))))))),
inference(forward_demodulation,[status(thm)],[f40,f107]) ).
fof(f109,plain,
heap(sep(lseg(x7,x1),sep(lseg(x16,x7),sep(lseg(x16,x3),sep(lseg(x12,x8),sep(lseg(x2,x6),sep(lseg(x10,x15),sep(lseg(x10,x5),sep(lseg(x5,x1),sep(lseg(x3,x12),sep(lseg(x3,x16),sep(lseg(x11,x8),emp)))))))))))),
inference(forward_demodulation,[status(thm)],[f40,f108]) ).
fof(f110,plain,
heap(sep(lseg(x7,x1),sep(lseg(x16,x7),sep(lseg(x16,x3),sep(lseg(x12,x8),sep(lseg(x2,x6),sep(lseg(x10,x15),sep(lseg(x10,x5),sep(lseg(x3,x12),sep(lseg(x5,x1),sep(lseg(x3,x16),sep(lseg(x11,x8),emp)))))))))))),
inference(forward_demodulation,[status(thm)],[f40,f109]) ).
fof(f111,plain,
heap(sep(lseg(x7,x1),sep(lseg(x16,x7),sep(lseg(x16,x3),sep(lseg(x12,x8),sep(lseg(x2,x6),sep(lseg(x10,x15),sep(lseg(x3,x12),sep(lseg(x10,x5),sep(lseg(x5,x1),sep(lseg(x3,x16),sep(lseg(x11,x8),emp)))))))))))),
inference(forward_demodulation,[status(thm)],[f40,f110]) ).
fof(f112,plain,
heap(sep(lseg(x7,x1),sep(lseg(x16,x7),sep(lseg(x16,x3),sep(lseg(x12,x8),sep(lseg(x2,x6),sep(lseg(x3,x12),sep(lseg(x10,x15),sep(lseg(x10,x5),sep(lseg(x5,x1),sep(lseg(x3,x16),sep(lseg(x11,x8),emp)))))))))))),
inference(forward_demodulation,[status(thm)],[f40,f111]) ).
fof(f113,plain,
heap(sep(lseg(x7,x1),sep(lseg(x16,x7),sep(lseg(x16,x3),sep(lseg(x12,x8),sep(lseg(x3,x12),sep(lseg(x2,x6),sep(lseg(x10,x15),sep(lseg(x10,x5),sep(lseg(x5,x1),sep(lseg(x3,x16),sep(lseg(x11,x8),emp)))))))))))),
inference(forward_demodulation,[status(thm)],[f40,f112]) ).
fof(f114,plain,
heap(sep(lseg(x7,x1),sep(lseg(x16,x7),sep(lseg(x16,x3),sep(lseg(x12,x8),sep(lseg(x3,x12),sep(lseg(x2,x6),sep(lseg(x10,x15),sep(lseg(x10,x5),sep(lseg(x3,x16),sep(lseg(x5,x1),sep(lseg(x11,x8),emp)))))))))))),
inference(forward_demodulation,[status(thm)],[f40,f113]) ).
fof(f115,plain,
heap(sep(lseg(x7,x1),sep(lseg(x16,x7),sep(lseg(x16,x3),sep(lseg(x12,x8),sep(lseg(x3,x12),sep(lseg(x2,x6),sep(lseg(x10,x15),sep(lseg(x3,x16),sep(lseg(x10,x5),sep(lseg(x5,x1),sep(lseg(x11,x8),emp)))))))))))),
inference(forward_demodulation,[status(thm)],[f40,f114]) ).
fof(f116,plain,
heap(sep(lseg(x7,x1),sep(lseg(x16,x7),sep(lseg(x16,x3),sep(lseg(x12,x8),sep(lseg(x3,x12),sep(lseg(x2,x6),sep(lseg(x3,x16),sep(lseg(x10,x15),sep(lseg(x10,x5),sep(lseg(x5,x1),sep(lseg(x11,x8),emp)))))))))))),
inference(forward_demodulation,[status(thm)],[f40,f115]) ).
fof(f117,plain,
heap(sep(lseg(x7,x1),sep(lseg(x16,x7),sep(lseg(x16,x3),sep(lseg(x12,x8),sep(lseg(x3,x12),sep(lseg(x3,x16),sep(lseg(x2,x6),sep(lseg(x10,x15),sep(lseg(x10,x5),sep(lseg(x5,x1),sep(lseg(x11,x8),emp)))))))))))),
inference(forward_demodulation,[status(thm)],[f40,f116]) ).
fof(f118,plain,
heap(sep(lseg(x7,x1),sep(lseg(x16,x7),sep(lseg(x16,x3),sep(lseg(x12,x8),sep(lseg(x3,x16),sep(lseg(x3,x12),sep(lseg(x2,x6),sep(lseg(x10,x15),sep(lseg(x10,x5),sep(lseg(x5,x1),sep(lseg(x11,x8),emp)))))))))))),
inference(forward_demodulation,[status(thm)],[f40,f117]) ).
fof(f119,plain,
heap(sep(lseg(x7,x1),sep(lseg(x16,x7),sep(lseg(x16,x3),sep(lseg(x12,x8),sep(lseg(x3,x16),sep(lseg(x3,x12),sep(lseg(x2,x6),sep(lseg(x10,x15),sep(lseg(x10,x5),sep(lseg(x11,x8),sep(lseg(x5,x1),emp)))))))))))),
inference(forward_demodulation,[status(thm)],[f40,f118]) ).
fof(f120,plain,
heap(sep(lseg(x7,x1),sep(lseg(x16,x7),sep(lseg(x16,x3),sep(lseg(x12,x8),sep(lseg(x3,x16),sep(lseg(x3,x12),sep(lseg(x2,x6),sep(lseg(x10,x15),sep(lseg(x11,x8),sep(lseg(x10,x5),sep(lseg(x5,x1),emp)))))))))))),
inference(forward_demodulation,[status(thm)],[f40,f119]) ).
fof(f121,plain,
heap(sep(lseg(x7,x1),sep(lseg(x16,x7),sep(lseg(x16,x3),sep(lseg(x12,x8),sep(lseg(x3,x16),sep(lseg(x3,x12),sep(lseg(x2,x6),sep(lseg(x11,x8),sep(lseg(x10,x15),sep(lseg(x10,x5),sep(lseg(x5,x1),emp)))))))))))),
inference(forward_demodulation,[status(thm)],[f40,f120]) ).
fof(f122,plain,
heap(sep(lseg(x7,x1),sep(lseg(x16,x7),sep(lseg(x16,x3),sep(lseg(x12,x8),sep(lseg(x3,x16),sep(lseg(x3,x12),sep(lseg(x11,x8),sep(lseg(x2,x6),sep(lseg(x10,x15),sep(lseg(x10,x5),sep(lseg(x5,x1),emp)))))))))))),
inference(forward_demodulation,[status(thm)],[f40,f121]) ).
fof(f123,plain,
heap(sep(lseg(x7,x1),sep(lseg(x16,x7),sep(lseg(x16,x3),sep(lseg(x12,x8),sep(lseg(x3,x16),sep(lseg(x11,x8),sep(lseg(x3,x12),sep(lseg(x2,x6),sep(lseg(x10,x15),sep(lseg(x10,x5),sep(lseg(x5,x1),emp)))))))))))),
inference(forward_demodulation,[status(thm)],[f40,f122]) ).
fof(f124,plain,
heap(sep(lseg(x7,x1),sep(lseg(x16,x7),sep(lseg(x16,x3),sep(lseg(x12,x8),sep(lseg(x11,x8),sep(lseg(x3,x16),sep(lseg(x3,x12),sep(lseg(x2,x6),sep(lseg(x10,x15),sep(lseg(x10,x5),sep(lseg(x5,x1),emp)))))))))))),
inference(forward_demodulation,[status(thm)],[f40,f123]) ).
fof(f125,plain,
heap(sep(lseg(x7,x1),sep(lseg(x16,x7),sep(lseg(x16,x3),sep(lseg(x11,x8),sep(lseg(x12,x8),sep(lseg(x3,x16),sep(lseg(x3,x12),sep(lseg(x2,x6),sep(lseg(x10,x15),sep(lseg(x10,x5),sep(lseg(x5,x1),emp)))))))))))),
inference(forward_demodulation,[status(thm)],[f40,f124]) ).
fof(f126,plain,
heap(sep(lseg(x7,x1),sep(lseg(x16,x7),sep(lseg(x11,x8),sep(lseg(x16,x3),sep(lseg(x12,x8),sep(lseg(x3,x16),sep(lseg(x3,x12),sep(lseg(x2,x6),sep(lseg(x10,x15),sep(lseg(x10,x5),sep(lseg(x5,x1),emp)))))))))))),
inference(forward_demodulation,[status(thm)],[f40,f125]) ).
fof(f127,plain,
heap(sep(lseg(x7,x1),sep(lseg(x11,x8),sep(lseg(x16,x7),sep(lseg(x16,x3),sep(lseg(x12,x8),sep(lseg(x3,x16),sep(lseg(x3,x12),sep(lseg(x2,x6),sep(lseg(x10,x15),sep(lseg(x10,x5),sep(lseg(x5,x1),emp)))))))))))),
inference(forward_demodulation,[status(thm)],[f40,f126]) ).
fof(f130,plain,
! [X0,X1,X2,X3] : sep(X0,sep(X1,sep(X2,X3))) = sep(X2,sep(X0,sep(X1,X3))),
inference(paramodulation,[status(thm)],[f40,f40]) ).
fof(f140,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)],[f40,f49]) ).
fof(f187,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)],[f40,f140]) ).
fof(f211,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)],[f40,f187]) ).
fof(f229,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)],[f40,f211]) ).
fof(f249,plain,
( x16 = x3
| x16 = x7 ),
inference(resolution,[status(thm)],[f127,f229]) ).
fof(f250,definition,
( sQ4_spl
<=> x16 = x7 ),
introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).
fof(f251,plain,
( ~ sQ4_spl
| x16 = x7 ),
inference(component_clause,[status(thm)],[f250]) ).
fof(f253,definition,
( sQ5_spl
<=> x16 = x3 ),
introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).
fof(f254,plain,
( ~ sQ5_spl
| x16 = x3 ),
inference(component_clause,[status(thm)],[f253]) ).
fof(f256,plain,
( sQ5_spl
| sQ4_spl ),
inference(split_clause,[status(thm)],[f249,f250,f253]) ).
fof(f257,plain,
( ~ sQ4_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f251,f67]) ).
fof(f258,plain,
~ sQ4_spl,
inference(contradiction_clause,[status(thm)],[f257]) ).
fof(f259,plain,
( ~ sQ5_spl
| heap(sep(lseg(x7,x1),sep(lseg(x11,x8),sep(lseg(x16,x7),sep(lseg(x16,x3),sep(lseg(x12,x8),sep(lseg(x3,x16),sep(lseg(x16,x12),sep(lseg(x2,x6),sep(lseg(x10,x15),sep(lseg(x10,x5),sep(lseg(x5,x1),emp)))))))))))) ),
inference(backward_demodulation,[status(thm)],[f254,f127]) ).
fof(f262,plain,
( ~ sQ5_spl
| x16 != x8 ),
inference(backward_demodulation,[status(thm)],[f254,f63]) ).
fof(f264,plain,
( ~ sQ5_spl
| heap(sep(lseg(x7,x1),sep(lseg(x11,x8),sep(lseg(x16,x7),sep(lseg(x16,x16),sep(lseg(x12,x8),sep(lseg(x3,x16),sep(lseg(x16,x12),sep(lseg(x2,x6),sep(lseg(x10,x15),sep(lseg(x10,x5),sep(lseg(x5,x1),emp)))))))))))) ),
inference(forward_demodulation,[status(thm)],[f254,f259]) ).
fof(f265,plain,
( ~ sQ5_spl
| heap(sep(lseg(x7,x1),sep(lseg(x11,x8),sep(lseg(x16,x7),sep(lseg(x12,x8),sep(lseg(x3,x16),sep(lseg(x16,x12),sep(lseg(x2,x6),sep(lseg(x10,x15),sep(lseg(x10,x5),sep(lseg(x5,x1),emp))))))))))) ),
inference(forward_demodulation,[status(thm)],[f41,f264]) ).
fof(f266,plain,
( ~ sQ5_spl
| heap(sep(lseg(x7,x1),sep(lseg(x11,x8),sep(lseg(x16,x7),sep(lseg(x16,x12),sep(lseg(x12,x8),sep(lseg(x3,x16),sep(lseg(x2,x6),sep(lseg(x10,x15),sep(lseg(x10,x5),sep(lseg(x5,x1),emp))))))))))) ),
inference(forward_demodulation,[status(thm)],[f130,f265]) ).
fof(f267,plain,
( ~ sQ5_spl
| heap(sep(lseg(x7,x1),sep(lseg(x11,x8),sep(lseg(x16,x7),sep(lseg(x16,x12),sep(lseg(x12,x8),sep(lseg(x16,x16),sep(lseg(x2,x6),sep(lseg(x10,x15),sep(lseg(x10,x5),sep(lseg(x5,x1),emp))))))))))) ),
inference(forward_demodulation,[status(thm)],[f254,f266]) ).
fof(f268,plain,
( ~ sQ5_spl
| heap(sep(lseg(x7,x1),sep(lseg(x11,x8),sep(lseg(x16,x7),sep(lseg(x16,x16),sep(lseg(x16,x12),sep(lseg(x12,x8),sep(lseg(x2,x6),sep(lseg(x10,x15),sep(lseg(x10,x5),sep(lseg(x5,x1),emp))))))))))) ),
inference(forward_demodulation,[status(thm)],[f130,f267]) ).
fof(f269,plain,
( ~ sQ5_spl
| heap(sep(lseg(x7,x1),sep(lseg(x11,x8),sep(lseg(x16,x7),sep(lseg(x16,x12),sep(lseg(x12,x8),sep(lseg(x2,x6),sep(lseg(x10,x15),sep(lseg(x10,x5),sep(lseg(x5,x1),emp)))))))))) ),
inference(forward_demodulation,[status(thm)],[f41,f268]) ).
fof(f270,plain,
( ~ sQ5_spl
| x16 = x12
| x16 = x7 ),
inference(resolution,[status(thm)],[f269,f229]) ).
fof(f271,definition,
( sQ6_spl
<=> x16 = x12 ),
introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition]) ).
fof(f272,plain,
( ~ sQ6_spl
| x16 = x12 ),
inference(component_clause,[status(thm)],[f271]) ).
fof(f274,plain,
( ~ sQ5_spl
| sQ6_spl
| sQ4_spl ),
inference(split_clause,[status(thm)],[f270,f250,f271,f253]) ).
fof(f275,plain,
( ~ sQ5_spl
| ~ sQ6_spl
| heap(sep(lseg(x7,x1),sep(lseg(x11,x8),sep(lseg(x16,x7),sep(lseg(x16,x12),sep(lseg(x16,x8),sep(lseg(x2,x6),sep(lseg(x10,x15),sep(lseg(x10,x5),sep(lseg(x5,x1),emp)))))))))) ),
inference(backward_demodulation,[status(thm)],[f272,f269]) ).
fof(f279,plain,
( ~ sQ5_spl
| ~ sQ6_spl
| heap(sep(lseg(x7,x1),sep(lseg(x11,x8),sep(lseg(x16,x7),sep(lseg(x16,x16),sep(lseg(x16,x8),sep(lseg(x2,x6),sep(lseg(x10,x15),sep(lseg(x10,x5),sep(lseg(x5,x1),emp)))))))))) ),
inference(forward_demodulation,[status(thm)],[f272,f275]) ).
fof(f280,plain,
( ~ sQ5_spl
| ~ sQ6_spl
| heap(sep(lseg(x7,x1),sep(lseg(x11,x8),sep(lseg(x16,x7),sep(lseg(x16,x8),sep(lseg(x2,x6),sep(lseg(x10,x15),sep(lseg(x10,x5),sep(lseg(x5,x1),emp))))))))) ),
inference(forward_demodulation,[status(thm)],[f41,f279]) ).
fof(f296,plain,
( ~ sQ5_spl
| ~ sQ6_spl
| x16 = x8
| x16 = x7 ),
inference(resolution,[status(thm)],[f280,f229]) ).
fof(f297,definition,
( sQ7_spl
<=> x16 = x8 ),
introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition]) ).
fof(f298,plain,
( ~ sQ7_spl
| x16 = x8 ),
inference(component_clause,[status(thm)],[f297]) ).
fof(f300,plain,
( ~ sQ5_spl
| ~ sQ6_spl
| sQ7_spl
| sQ4_spl ),
inference(split_clause,[status(thm)],[f296,f250,f297,f271,f253]) ).
fof(f301,plain,
( ~ sQ7_spl
| ~ sQ5_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f298,f262]) ).
fof(f302,plain,
( ~ sQ7_spl
| ~ sQ5_spl ),
inference(contradiction_clause,[status(thm)],[f301]) ).
fof(f303,plain,
$false,
inference(sat_refutation,[status(thm)],[f256,f258,f274,f300,f302]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWW437-1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.03 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.34 % Computer : n011.cluster.edu
% 0.08/0.34 % Model : x86_64 x86_64
% 0.08/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.34 % Memory : 8046.5625MB
% 0.08/0.34 % OS : Linux 6.8.0-71-generic
% 0.07/20.44 % CPULimit : 300
% 0.07/20.44 % WCLimit : 300
% 0.07/20.44 % DateTime : Mon Sep 21 09:53:20 UTC 2026
% 0.07/20.44 % CPUTime :
% 0.07/20.45 % Drodi V4.1.1
% 0.07/20.49 % Refutation found
% 0.07/20.49 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.07/20.49 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.33/20.51 % Elapsed time: 0.067699 seconds
% 0.33/20.51 % CPU time: 0.290212 seconds
% 0.33/20.51 % Total memory used: 107.932 MB
% 0.33/20.51 % Net memory used: 107.274 MB
%------------------------------------------------------------------------------