%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SWW431-1 : TPTP v9.3.1. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n014.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 03:07:50 PM UTC 2026
% Result : Unsatisfiable 0.10s 0.53s
% Output : CNFRefutation 0.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 49
% Number of leaves : 8
% Syntax : Number of formulae : 81 ( 45 unt; 3 def)
% Number of atoms : 130 ( 40 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 86 ( 37 ~; 46 |; 0 &)
% ( 3 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 3 avg)
% Maximal term depth : 14 ( 3 avg)
% Number of predicates : 6 ( 4 usr; 4 prp; 0-2 aty)
% Number of functors : 15 ( 15 usr; 13 con; 0-2 aty)
% Number of variables : 78 ( 78 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [S,T,Sigma] : sep(S,sep(T,Sigma)) = sep(T,sep(S,Sigma)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [X,Sigma] : sep(lseg(X,X),Sigma) = Sigma,
file('/export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p') ).
fof(f18,hypothesis,
x7 != x11,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f24,hypothesis,
heap(sep(lseg(x5,x3),sep(lseg(x10,x8),sep(lseg(x13,x8),sep(lseg(x1,x11),sep(lseg(x4,x9),sep(lseg(x2,x9),sep(lseg(x12,x7),sep(lseg(x9,x2),sep(lseg(x7,x10),sep(lseg(x11,x12),sep(lseg(x11,x7),sep(lseg(x11,x1),emp))))))))))))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f26,plain,
! [X0,X1,X2] : sep(X0,sep(X1,X2)) = sep(X1,sep(X0,X2)),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f27,plain,
! [X0,X1] : sep(lseg(X0,X0),X1) = X1,
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f34,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(f35,plain,
! [X0,X1,X2,X3] :
( X0 = X2
| X0 = X1
| ~ heap(sep(lseg(X0,X1),sep(lseg(X0,X2),X3))) ),
inference(cnf_transformation,[status(thm)],[f34]) ).
fof(f50,plain,
x7 != x11,
inference(cnf_transformation,[status(thm)],[f18]) ).
fof(f56,plain,
heap(sep(lseg(x5,x3),sep(lseg(x10,x8),sep(lseg(x13,x8),sep(lseg(x1,x11),sep(lseg(x4,x9),sep(lseg(x2,x9),sep(lseg(x12,x7),sep(lseg(x9,x2),sep(lseg(x7,x10),sep(lseg(x11,x12),sep(lseg(x11,x7),sep(lseg(x11,x1),emp))))))))))))),
inference(cnf_transformation,[status(thm)],[f24]) ).
fof(f65,plain,
heap(sep(lseg(x5,x3),sep(lseg(x13,x8),sep(lseg(x10,x8),sep(lseg(x1,x11),sep(lseg(x4,x9),sep(lseg(x2,x9),sep(lseg(x12,x7),sep(lseg(x9,x2),sep(lseg(x7,x10),sep(lseg(x11,x12),sep(lseg(x11,x7),sep(lseg(x11,x1),emp))))))))))))),
inference(forward_demodulation,[status(thm)],[f26,f56]) ).
fof(f66,plain,
heap(sep(lseg(x13,x8),sep(lseg(x5,x3),sep(lseg(x10,x8),sep(lseg(x1,x11),sep(lseg(x4,x9),sep(lseg(x2,x9),sep(lseg(x12,x7),sep(lseg(x9,x2),sep(lseg(x7,x10),sep(lseg(x11,x12),sep(lseg(x11,x7),sep(lseg(x11,x1),emp))))))))))))),
inference(forward_demodulation,[status(thm)],[f26,f65]) ).
fof(f67,plain,
heap(sep(lseg(x13,x8),sep(lseg(x5,x3),sep(lseg(x10,x8),sep(lseg(x1,x11),sep(lseg(x2,x9),sep(lseg(x4,x9),sep(lseg(x12,x7),sep(lseg(x9,x2),sep(lseg(x7,x10),sep(lseg(x11,x12),sep(lseg(x11,x7),sep(lseg(x11,x1),emp))))))))))))),
inference(forward_demodulation,[status(thm)],[f26,f66]) ).
fof(f68,plain,
heap(sep(lseg(x13,x8),sep(lseg(x5,x3),sep(lseg(x10,x8),sep(lseg(x2,x9),sep(lseg(x1,x11),sep(lseg(x4,x9),sep(lseg(x12,x7),sep(lseg(x9,x2),sep(lseg(x7,x10),sep(lseg(x11,x12),sep(lseg(x11,x7),sep(lseg(x11,x1),emp))))))))))))),
inference(forward_demodulation,[status(thm)],[f26,f67]) ).
fof(f69,plain,
heap(sep(lseg(x13,x8),sep(lseg(x5,x3),sep(lseg(x10,x8),sep(lseg(x2,x9),sep(lseg(x1,x11),sep(lseg(x12,x7),sep(lseg(x4,x9),sep(lseg(x9,x2),sep(lseg(x7,x10),sep(lseg(x11,x12),sep(lseg(x11,x7),sep(lseg(x11,x1),emp))))))))))))),
inference(forward_demodulation,[status(thm)],[f26,f68]) ).
fof(f70,plain,
heap(sep(lseg(x13,x8),sep(lseg(x5,x3),sep(lseg(x10,x8),sep(lseg(x2,x9),sep(lseg(x12,x7),sep(lseg(x1,x11),sep(lseg(x4,x9),sep(lseg(x9,x2),sep(lseg(x7,x10),sep(lseg(x11,x12),sep(lseg(x11,x7),sep(lseg(x11,x1),emp))))))))))))),
inference(forward_demodulation,[status(thm)],[f26,f69]) ).
fof(f71,plain,
heap(sep(lseg(x13,x8),sep(lseg(x5,x3),sep(lseg(x10,x8),sep(lseg(x12,x7),sep(lseg(x2,x9),sep(lseg(x1,x11),sep(lseg(x4,x9),sep(lseg(x9,x2),sep(lseg(x7,x10),sep(lseg(x11,x12),sep(lseg(x11,x7),sep(lseg(x11,x1),emp))))))))))))),
inference(forward_demodulation,[status(thm)],[f26,f70]) ).
fof(f72,plain,
heap(sep(lseg(x13,x8),sep(lseg(x5,x3),sep(lseg(x12,x7),sep(lseg(x10,x8),sep(lseg(x2,x9),sep(lseg(x1,x11),sep(lseg(x4,x9),sep(lseg(x9,x2),sep(lseg(x7,x10),sep(lseg(x11,x12),sep(lseg(x11,x7),sep(lseg(x11,x1),emp))))))))))))),
inference(forward_demodulation,[status(thm)],[f26,f71]) ).
fof(f73,plain,
heap(sep(lseg(x13,x8),sep(lseg(x12,x7),sep(lseg(x5,x3),sep(lseg(x10,x8),sep(lseg(x2,x9),sep(lseg(x1,x11),sep(lseg(x4,x9),sep(lseg(x9,x2),sep(lseg(x7,x10),sep(lseg(x11,x12),sep(lseg(x11,x7),sep(lseg(x11,x1),emp))))))))))))),
inference(forward_demodulation,[status(thm)],[f26,f72]) ).
fof(f74,plain,
heap(sep(lseg(x12,x7),sep(lseg(x13,x8),sep(lseg(x5,x3),sep(lseg(x10,x8),sep(lseg(x2,x9),sep(lseg(x1,x11),sep(lseg(x4,x9),sep(lseg(x9,x2),sep(lseg(x7,x10),sep(lseg(x11,x12),sep(lseg(x11,x7),sep(lseg(x11,x1),emp))))))))))))),
inference(forward_demodulation,[status(thm)],[f26,f73]) ).
fof(f75,plain,
heap(sep(lseg(x12,x7),sep(lseg(x13,x8),sep(lseg(x5,x3),sep(lseg(x10,x8),sep(lseg(x2,x9),sep(lseg(x1,x11),sep(lseg(x9,x2),sep(lseg(x4,x9),sep(lseg(x7,x10),sep(lseg(x11,x12),sep(lseg(x11,x7),sep(lseg(x11,x1),emp))))))))))))),
inference(forward_demodulation,[status(thm)],[f26,f74]) ).
fof(f76,plain,
heap(sep(lseg(x12,x7),sep(lseg(x13,x8),sep(lseg(x5,x3),sep(lseg(x10,x8),sep(lseg(x2,x9),sep(lseg(x9,x2),sep(lseg(x1,x11),sep(lseg(x4,x9),sep(lseg(x7,x10),sep(lseg(x11,x12),sep(lseg(x11,x7),sep(lseg(x11,x1),emp))))))))))))),
inference(forward_demodulation,[status(thm)],[f26,f75]) ).
fof(f77,plain,
heap(sep(lseg(x12,x7),sep(lseg(x13,x8),sep(lseg(x5,x3),sep(lseg(x10,x8),sep(lseg(x2,x9),sep(lseg(x9,x2),sep(lseg(x1,x11),sep(lseg(x7,x10),sep(lseg(x4,x9),sep(lseg(x11,x12),sep(lseg(x11,x7),sep(lseg(x11,x1),emp))))))))))))),
inference(forward_demodulation,[status(thm)],[f26,f76]) ).
fof(f78,plain,
heap(sep(lseg(x12,x7),sep(lseg(x13,x8),sep(lseg(x5,x3),sep(lseg(x10,x8),sep(lseg(x2,x9),sep(lseg(x9,x2),sep(lseg(x7,x10),sep(lseg(x1,x11),sep(lseg(x4,x9),sep(lseg(x11,x12),sep(lseg(x11,x7),sep(lseg(x11,x1),emp))))))))))))),
inference(forward_demodulation,[status(thm)],[f26,f77]) ).
fof(f79,plain,
heap(sep(lseg(x12,x7),sep(lseg(x13,x8),sep(lseg(x5,x3),sep(lseg(x10,x8),sep(lseg(x2,x9),sep(lseg(x7,x10),sep(lseg(x9,x2),sep(lseg(x1,x11),sep(lseg(x4,x9),sep(lseg(x11,x12),sep(lseg(x11,x7),sep(lseg(x11,x1),emp))))))))))))),
inference(forward_demodulation,[status(thm)],[f26,f78]) ).
fof(f80,plain,
heap(sep(lseg(x12,x7),sep(lseg(x13,x8),sep(lseg(x5,x3),sep(lseg(x10,x8),sep(lseg(x7,x10),sep(lseg(x2,x9),sep(lseg(x9,x2),sep(lseg(x1,x11),sep(lseg(x4,x9),sep(lseg(x11,x12),sep(lseg(x11,x7),sep(lseg(x11,x1),emp))))))))))))),
inference(forward_demodulation,[status(thm)],[f26,f79]) ).
fof(f81,plain,
heap(sep(lseg(x12,x7),sep(lseg(x13,x8),sep(lseg(x5,x3),sep(lseg(x7,x10),sep(lseg(x10,x8),sep(lseg(x2,x9),sep(lseg(x9,x2),sep(lseg(x1,x11),sep(lseg(x4,x9),sep(lseg(x11,x12),sep(lseg(x11,x7),sep(lseg(x11,x1),emp))))))))))))),
inference(forward_demodulation,[status(thm)],[f26,f80]) ).
fof(f82,plain,
heap(sep(lseg(x12,x7),sep(lseg(x13,x8),sep(lseg(x7,x10),sep(lseg(x5,x3),sep(lseg(x10,x8),sep(lseg(x2,x9),sep(lseg(x9,x2),sep(lseg(x1,x11),sep(lseg(x4,x9),sep(lseg(x11,x12),sep(lseg(x11,x7),sep(lseg(x11,x1),emp))))))))))))),
inference(forward_demodulation,[status(thm)],[f26,f81]) ).
fof(f83,plain,
heap(sep(lseg(x12,x7),sep(lseg(x7,x10),sep(lseg(x13,x8),sep(lseg(x5,x3),sep(lseg(x10,x8),sep(lseg(x2,x9),sep(lseg(x9,x2),sep(lseg(x1,x11),sep(lseg(x4,x9),sep(lseg(x11,x12),sep(lseg(x11,x7),sep(lseg(x11,x1),emp))))))))))))),
inference(forward_demodulation,[status(thm)],[f26,f82]) ).
fof(f84,plain,
heap(sep(lseg(x12,x7),sep(lseg(x7,x10),sep(lseg(x13,x8),sep(lseg(x5,x3),sep(lseg(x10,x8),sep(lseg(x2,x9),sep(lseg(x9,x2),sep(lseg(x1,x11),sep(lseg(x11,x12),sep(lseg(x4,x9),sep(lseg(x11,x7),sep(lseg(x11,x1),emp))))))))))))),
inference(forward_demodulation,[status(thm)],[f26,f83]) ).
fof(f85,plain,
heap(sep(lseg(x12,x7),sep(lseg(x7,x10),sep(lseg(x13,x8),sep(lseg(x5,x3),sep(lseg(x10,x8),sep(lseg(x2,x9),sep(lseg(x9,x2),sep(lseg(x11,x12),sep(lseg(x1,x11),sep(lseg(x4,x9),sep(lseg(x11,x7),sep(lseg(x11,x1),emp))))))))))))),
inference(forward_demodulation,[status(thm)],[f26,f84]) ).
fof(f86,plain,
heap(sep(lseg(x12,x7),sep(lseg(x7,x10),sep(lseg(x13,x8),sep(lseg(x5,x3),sep(lseg(x10,x8),sep(lseg(x2,x9),sep(lseg(x11,x12),sep(lseg(x9,x2),sep(lseg(x1,x11),sep(lseg(x4,x9),sep(lseg(x11,x7),sep(lseg(x11,x1),emp))))))))))))),
inference(forward_demodulation,[status(thm)],[f26,f85]) ).
fof(f87,plain,
heap(sep(lseg(x12,x7),sep(lseg(x7,x10),sep(lseg(x13,x8),sep(lseg(x5,x3),sep(lseg(x10,x8),sep(lseg(x11,x12),sep(lseg(x2,x9),sep(lseg(x9,x2),sep(lseg(x1,x11),sep(lseg(x4,x9),sep(lseg(x11,x7),sep(lseg(x11,x1),emp))))))))))))),
inference(forward_demodulation,[status(thm)],[f26,f86]) ).
fof(f88,plain,
heap(sep(lseg(x12,x7),sep(lseg(x7,x10),sep(lseg(x13,x8),sep(lseg(x5,x3),sep(lseg(x11,x12),sep(lseg(x10,x8),sep(lseg(x2,x9),sep(lseg(x9,x2),sep(lseg(x1,x11),sep(lseg(x4,x9),sep(lseg(x11,x7),sep(lseg(x11,x1),emp))))))))))))),
inference(forward_demodulation,[status(thm)],[f26,f87]) ).
fof(f89,plain,
heap(sep(lseg(x12,x7),sep(lseg(x7,x10),sep(lseg(x13,x8),sep(lseg(x5,x3),sep(lseg(x11,x12),sep(lseg(x10,x8),sep(lseg(x2,x9),sep(lseg(x9,x2),sep(lseg(x1,x11),sep(lseg(x11,x7),sep(lseg(x4,x9),sep(lseg(x11,x1),emp))))))))))))),
inference(forward_demodulation,[status(thm)],[f26,f88]) ).
fof(f90,plain,
heap(sep(lseg(x12,x7),sep(lseg(x7,x10),sep(lseg(x13,x8),sep(lseg(x5,x3),sep(lseg(x11,x12),sep(lseg(x10,x8),sep(lseg(x2,x9),sep(lseg(x9,x2),sep(lseg(x11,x7),sep(lseg(x1,x11),sep(lseg(x4,x9),sep(lseg(x11,x1),emp))))))))))))),
inference(forward_demodulation,[status(thm)],[f26,f89]) ).
fof(f91,plain,
heap(sep(lseg(x12,x7),sep(lseg(x7,x10),sep(lseg(x13,x8),sep(lseg(x5,x3),sep(lseg(x11,x12),sep(lseg(x10,x8),sep(lseg(x2,x9),sep(lseg(x11,x7),sep(lseg(x9,x2),sep(lseg(x1,x11),sep(lseg(x4,x9),sep(lseg(x11,x1),emp))))))))))))),
inference(forward_demodulation,[status(thm)],[f26,f90]) ).
fof(f92,plain,
heap(sep(lseg(x12,x7),sep(lseg(x7,x10),sep(lseg(x13,x8),sep(lseg(x5,x3),sep(lseg(x11,x12),sep(lseg(x10,x8),sep(lseg(x11,x7),sep(lseg(x2,x9),sep(lseg(x9,x2),sep(lseg(x1,x11),sep(lseg(x4,x9),sep(lseg(x11,x1),emp))))))))))))),
inference(forward_demodulation,[status(thm)],[f26,f91]) ).
fof(f93,plain,
heap(sep(lseg(x12,x7),sep(lseg(x7,x10),sep(lseg(x13,x8),sep(lseg(x5,x3),sep(lseg(x11,x12),sep(lseg(x11,x7),sep(lseg(x10,x8),sep(lseg(x2,x9),sep(lseg(x9,x2),sep(lseg(x1,x11),sep(lseg(x4,x9),sep(lseg(x11,x1),emp))))))))))))),
inference(forward_demodulation,[status(thm)],[f26,f92]) ).
fof(f94,plain,
heap(sep(lseg(x12,x7),sep(lseg(x7,x10),sep(lseg(x13,x8),sep(lseg(x5,x3),sep(lseg(x11,x12),sep(lseg(x11,x7),sep(lseg(x10,x8),sep(lseg(x2,x9),sep(lseg(x9,x2),sep(lseg(x1,x11),sep(lseg(x11,x1),sep(lseg(x4,x9),emp))))))))))))),
inference(forward_demodulation,[status(thm)],[f26,f93]) ).
fof(f95,plain,
heap(sep(lseg(x12,x7),sep(lseg(x7,x10),sep(lseg(x13,x8),sep(lseg(x5,x3),sep(lseg(x11,x12),sep(lseg(x11,x7),sep(lseg(x10,x8),sep(lseg(x2,x9),sep(lseg(x9,x2),sep(lseg(x11,x1),sep(lseg(x1,x11),sep(lseg(x4,x9),emp))))))))))))),
inference(forward_demodulation,[status(thm)],[f26,f94]) ).
fof(f96,plain,
heap(sep(lseg(x12,x7),sep(lseg(x7,x10),sep(lseg(x13,x8),sep(lseg(x5,x3),sep(lseg(x11,x12),sep(lseg(x11,x7),sep(lseg(x10,x8),sep(lseg(x2,x9),sep(lseg(x11,x1),sep(lseg(x9,x2),sep(lseg(x1,x11),sep(lseg(x4,x9),emp))))))))))))),
inference(forward_demodulation,[status(thm)],[f26,f95]) ).
fof(f97,plain,
heap(sep(lseg(x12,x7),sep(lseg(x7,x10),sep(lseg(x13,x8),sep(lseg(x5,x3),sep(lseg(x11,x12),sep(lseg(x11,x7),sep(lseg(x10,x8),sep(lseg(x11,x1),sep(lseg(x2,x9),sep(lseg(x9,x2),sep(lseg(x1,x11),sep(lseg(x4,x9),emp))))))))))))),
inference(forward_demodulation,[status(thm)],[f26,f96]) ).
fof(f98,plain,
heap(sep(lseg(x12,x7),sep(lseg(x7,x10),sep(lseg(x13,x8),sep(lseg(x5,x3),sep(lseg(x11,x12),sep(lseg(x11,x7),sep(lseg(x11,x1),sep(lseg(x10,x8),sep(lseg(x2,x9),sep(lseg(x9,x2),sep(lseg(x1,x11),sep(lseg(x4,x9),emp))))))))))))),
inference(forward_demodulation,[status(thm)],[f26,f97]) ).
fof(f101,plain,
! [X0,X1,X2,X3] : sep(X0,sep(X1,sep(X2,X3))) = sep(X2,sep(X0,sep(X1,X3))),
inference(paramodulation,[status(thm)],[f26,f26]) ).
fof(f111,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)],[f26,f35]) ).
fof(f117,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)],[f26,f111]) ).
fof(f127,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)],[f26,f117]) ).
fof(f139,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)],[f26,f127]) ).
fof(f269,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)],[f26,f139]) ).
fof(f351,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)],[f26,f269]) ).
fof(f372,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( X3 = X6
| X3 = X4
| ~ heap(sep(X0,sep(X1,sep(X2,sep(lseg(X3,X4),sep(X5,sep(lseg(X3,X6),X7))))))) ),
inference(paramodulation,[status(thm)],[f26,f351]) ).
fof(f506,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( X4 = X6
| X4 = X5
| ~ heap(sep(X0,sep(X1,sep(X2,sep(X3,sep(lseg(X4,X5),sep(lseg(X4,X6),X7))))))) ),
inference(paramodulation,[status(thm)],[f26,f372]) ).
fof(f527,plain,
( x11 = x7
| x11 = x12 ),
inference(resolution,[status(thm)],[f506,f98]) ).
fof(f546,definition,
( sQ5_spl
<=> x11 = x12 ),
introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).
fof(f547,plain,
( ~ sQ5_spl
| x11 = x12 ),
inference(component_clause,[status(thm)],[f546]) ).
fof(f549,definition,
( sQ6_spl
<=> x11 = x7 ),
introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition]) ).
fof(f550,plain,
( ~ sQ6_spl
| x11 = x7 ),
inference(component_clause,[status(thm)],[f549]) ).
fof(f552,plain,
( sQ6_spl
| sQ5_spl ),
inference(split_clause,[status(thm)],[f527,f546,f549]) ).
fof(f553,plain,
( ~ sQ5_spl
| heap(sep(lseg(x12,x7),sep(lseg(x7,x10),sep(lseg(x13,x8),sep(lseg(x5,x3),sep(lseg(x11,x12),sep(lseg(x11,x7),sep(lseg(x11,x1),sep(lseg(x10,x8),sep(lseg(x2,x9),sep(lseg(x9,x2),sep(lseg(x1,x12),sep(lseg(x4,x9),emp))))))))))))) ),
inference(backward_demodulation,[status(thm)],[f547,f98]) ).
fof(f556,plain,
( ~ sQ5_spl
| heap(sep(lseg(x12,x7),sep(lseg(x7,x10),sep(lseg(x13,x8),sep(lseg(x5,x3),sep(lseg(x12,x12),sep(lseg(x11,x7),sep(lseg(x11,x1),sep(lseg(x10,x8),sep(lseg(x2,x9),sep(lseg(x9,x2),sep(lseg(x1,x12),sep(lseg(x4,x9),emp))))))))))))) ),
inference(forward_demodulation,[status(thm)],[f547,f553]) ).
fof(f557,plain,
( ~ sQ5_spl
| heap(sep(lseg(x12,x7),sep(lseg(x7,x10),sep(lseg(x12,x12),sep(lseg(x13,x8),sep(lseg(x5,x3),sep(lseg(x11,x7),sep(lseg(x11,x1),sep(lseg(x10,x8),sep(lseg(x2,x9),sep(lseg(x9,x2),sep(lseg(x1,x12),sep(lseg(x4,x9),emp))))))))))))) ),
inference(forward_demodulation,[status(thm)],[f101,f556]) ).
fof(f558,plain,
( ~ sQ5_spl
| heap(sep(lseg(x12,x12),sep(lseg(x12,x7),sep(lseg(x7,x10),sep(lseg(x13,x8),sep(lseg(x5,x3),sep(lseg(x11,x7),sep(lseg(x11,x1),sep(lseg(x10,x8),sep(lseg(x2,x9),sep(lseg(x9,x2),sep(lseg(x1,x12),sep(lseg(x4,x9),emp))))))))))))) ),
inference(forward_demodulation,[status(thm)],[f101,f557]) ).
fof(f559,plain,
( ~ sQ5_spl
| heap(sep(lseg(x12,x7),sep(lseg(x7,x10),sep(lseg(x13,x8),sep(lseg(x5,x3),sep(lseg(x11,x7),sep(lseg(x11,x1),sep(lseg(x10,x8),sep(lseg(x2,x9),sep(lseg(x9,x2),sep(lseg(x1,x12),sep(lseg(x4,x9),emp)))))))))))) ),
inference(forward_demodulation,[status(thm)],[f27,f558]) ).
fof(f560,plain,
( ~ sQ5_spl
| heap(sep(lseg(x12,x7),sep(lseg(x7,x10),sep(lseg(x13,x8),sep(lseg(x5,x3),sep(lseg(x12,x7),sep(lseg(x11,x1),sep(lseg(x10,x8),sep(lseg(x2,x9),sep(lseg(x9,x2),sep(lseg(x1,x12),sep(lseg(x4,x9),emp)))))))))))) ),
inference(forward_demodulation,[status(thm)],[f547,f559]) ).
fof(f561,plain,
( ~ sQ5_spl
| heap(sep(lseg(x12,x7),sep(lseg(x7,x10),sep(lseg(x12,x7),sep(lseg(x13,x8),sep(lseg(x5,x3),sep(lseg(x11,x1),sep(lseg(x10,x8),sep(lseg(x2,x9),sep(lseg(x9,x2),sep(lseg(x1,x12),sep(lseg(x4,x9),emp)))))))))))) ),
inference(forward_demodulation,[status(thm)],[f101,f560]) ).
fof(f562,plain,
( ~ sQ5_spl
| heap(sep(lseg(x12,x7),sep(lseg(x12,x7),sep(lseg(x7,x10),sep(lseg(x13,x8),sep(lseg(x5,x3),sep(lseg(x11,x1),sep(lseg(x10,x8),sep(lseg(x2,x9),sep(lseg(x9,x2),sep(lseg(x1,x12),sep(lseg(x4,x9),emp)))))))))))) ),
inference(forward_demodulation,[status(thm)],[f101,f561]) ).
fof(f563,plain,
( ~ sQ5_spl
| heap(sep(lseg(x12,x7),sep(lseg(x12,x7),sep(lseg(x7,x10),sep(lseg(x13,x8),sep(lseg(x5,x3),sep(lseg(x12,x1),sep(lseg(x10,x8),sep(lseg(x2,x9),sep(lseg(x9,x2),sep(lseg(x1,x12),sep(lseg(x4,x9),emp)))))))))))) ),
inference(forward_demodulation,[status(thm)],[f547,f562]) ).
fof(f564,plain,
( ~ sQ5_spl
| heap(sep(lseg(x12,x7),sep(lseg(x12,x7),sep(lseg(x7,x10),sep(lseg(x12,x1),sep(lseg(x13,x8),sep(lseg(x5,x3),sep(lseg(x10,x8),sep(lseg(x2,x9),sep(lseg(x9,x2),sep(lseg(x1,x12),sep(lseg(x4,x9),emp)))))))))))) ),
inference(forward_demodulation,[status(thm)],[f101,f563]) ).
fof(f565,plain,
( ~ sQ5_spl
| heap(sep(lseg(x12,x7),sep(lseg(x12,x7),sep(lseg(x12,x1),sep(lseg(x7,x10),sep(lseg(x13,x8),sep(lseg(x5,x3),sep(lseg(x10,x8),sep(lseg(x2,x9),sep(lseg(x9,x2),sep(lseg(x1,x12),sep(lseg(x4,x9),emp)))))))))))) ),
inference(forward_demodulation,[status(thm)],[f26,f564]) ).
fof(f566,plain,
( ~ sQ5_spl
| x12 = x7
| x12 = x7 ),
inference(resolution,[status(thm)],[f565,f35]) ).
fof(f569,definition,
( sQ7_spl
<=> x12 = x7 ),
introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition]) ).
fof(f570,plain,
( ~ sQ7_spl
| x12 = x7 ),
inference(component_clause,[status(thm)],[f569]) ).
fof(f572,plain,
( ~ sQ5_spl
| sQ7_spl ),
inference(split_clause,[status(thm)],[f566,f569,f546]) ).
fof(f598,plain,
( ~ sQ7_spl
| x12 != x11 ),
inference(forward_demodulation,[status(thm)],[f570,f50]) ).
fof(f604,plain,
( ~ sQ5_spl
| ~ sQ7_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f547,f598]) ).
fof(f605,plain,
( ~ sQ5_spl
| ~ sQ7_spl ),
inference(contradiction_clause,[status(thm)],[f604]) ).
fof(f606,plain,
( ~ sQ6_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f550,f50]) ).
fof(f607,plain,
~ sQ6_spl,
inference(contradiction_clause,[status(thm)],[f606]) ).
fof(f608,plain,
$false,
inference(sat_refutation,[status(thm)],[f552,f572,f605,f607]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWW431-1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.37 % Computer : n014.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Mon Sep 21 09:53:09 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.39 % Drodi V4.1.1
% 0.10/0.53 % Refutation found
% 0.10/0.53 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.10/0.53 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.10/0.55 % Elapsed time: 0.168313 seconds
% 0.10/0.55 % CPU time: 1.050416 seconds
% 0.10/0.55 % Total memory used: 118.893 MB
% 0.10/0.55 % Net memory used: 117.494 MB
%------------------------------------------------------------------------------