TSTP Solution File: SWW437-1 by Drodi---3.6.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : SWW437-1 : TPTP v8.1.2. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n032.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Apr 30 20:50:16 EDT 2024
% Result : Unsatisfiable 0.12s 0.34s
% Output : CNFRefutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 49
% Number of leaves : 10
% Syntax : Number of formulae : 83 ( 48 unt; 0 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] :
( ~ heap(sep(lseg(X,Y),sep(lseg(X,Z),Sigma)))
| X = Y
| X = Z ),
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(esa)],[f1]) ).
fof(f41,plain,
! [X0,X1] : sep(lseg(X0,X0),X1) = X1,
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f48,plain,
! [X,Z] :
( ! [Y] :
( ! [Sigma] : ~ heap(sep(lseg(X,Y),sep(lseg(X,Z),Sigma)))
| X = Y )
| X = Z ),
inference(miniscoping,[status(esa)],[f7]) ).
fof(f49,plain,
! [X0,X1,X2,X3] :
( ~ heap(sep(lseg(X0,X1),sep(lseg(X0,X2),X3)))
| X0 = X1
| X0 = X2 ),
inference(cnf_transformation,[status(esa)],[f48]) ).
fof(f63,plain,
x3 != x8,
inference(cnf_transformation,[status(esa)],[f17]) ).
fof(f67,plain,
x7 != x16,
inference(cnf_transformation,[status(esa)],[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(esa)],[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(f128,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(f136,plain,
! [X0,X1,X2,X3,X4] :
( ~ heap(sep(lseg(X0,X1),sep(X2,sep(lseg(X0,X3),X4))))
| X0 = X1
| X0 = X3 ),
inference(paramodulation,[status(thm)],[f40,f49]) ).
fof(f142,plain,
! [X0,X1,X2,X3,X4] :
( ~ heap(sep(X0,sep(lseg(X1,X2),sep(lseg(X1,X3),X4))))
| X1 = X2
| X1 = X3 ),
inference(paramodulation,[status(thm)],[f40,f136]) ).
fof(f152,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ heap(sep(X0,sep(lseg(X1,X2),sep(X3,sep(lseg(X1,X4),X5)))))
| X1 = X2
| X1 = X4 ),
inference(paramodulation,[status(thm)],[f40,f142]) ).
fof(f164,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ heap(sep(X0,sep(X1,sep(lseg(X2,X3),sep(lseg(X2,X4),X5)))))
| X2 = X3
| X2 = X4 ),
inference(paramodulation,[status(thm)],[f40,f152]) ).
fof(f170,plain,
( spl0_2
<=> x16 = x7 ),
introduced(split_symbol_definition) ).
fof(f171,plain,
( x16 = x7
| ~ spl0_2 ),
inference(component_clause,[status(thm)],[f170]) ).
fof(f173,plain,
( spl0_3
<=> x16 = x3 ),
introduced(split_symbol_definition) ).
fof(f174,plain,
( x16 = x3
| ~ spl0_3 ),
inference(component_clause,[status(thm)],[f173]) ).
fof(f176,plain,
( x16 = x7
| x16 = x3 ),
inference(resolution,[status(thm)],[f164,f127]) ).
fof(f177,plain,
( spl0_2
| spl0_3 ),
inference(split_clause,[status(thm)],[f176,f170,f173]) ).
fof(f186,plain,
( $false
| ~ spl0_2 ),
inference(forward_subsumption_resolution,[status(thm)],[f171,f67]) ).
fof(f187,plain,
~ spl0_2,
inference(contradiction_clause,[status(thm)],[f186]) ).
fof(f188,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(x16,x12),sep(lseg(x2,x6),sep(lseg(x10,x15),sep(lseg(x10,x5),sep(lseg(x5,x1),emp))))))))))))
| ~ spl0_3 ),
inference(backward_demodulation,[status(thm)],[f174,f127]) ).
fof(f189,plain,
( 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))))))))))))
| ~ spl0_3 ),
inference(forward_demodulation,[status(thm)],[f174,f188]) ).
fof(f190,plain,
( 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)))))))))))
| ~ spl0_3 ),
inference(forward_demodulation,[status(thm)],[f41,f189]) ).
fof(f191,plain,
( 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)))))))))))
| ~ spl0_3 ),
inference(forward_demodulation,[status(thm)],[f128,f190]) ).
fof(f192,plain,
( 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)))))))))))
| ~ spl0_3 ),
inference(forward_demodulation,[status(thm)],[f174,f191]) ).
fof(f193,plain,
( 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)))))))))))
| ~ spl0_3 ),
inference(forward_demodulation,[status(thm)],[f128,f192]) ).
fof(f194,plain,
( 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))))))))))
| ~ spl0_3 ),
inference(forward_demodulation,[status(thm)],[f41,f193]) ).
fof(f196,plain,
( x16 != x8
| ~ spl0_3 ),
inference(backward_demodulation,[status(thm)],[f174,f63]) ).
fof(f217,plain,
( spl0_4
<=> x16 = x12 ),
introduced(split_symbol_definition) ).
fof(f218,plain,
( x16 = x12
| ~ spl0_4 ),
inference(component_clause,[status(thm)],[f217]) ).
fof(f220,plain,
( x16 = x7
| x16 = x12
| ~ spl0_3 ),
inference(resolution,[status(thm)],[f194,f164]) ).
fof(f221,plain,
( spl0_2
| spl0_4
| ~ spl0_3 ),
inference(split_clause,[status(thm)],[f220,f170,f217,f173]) ).
fof(f222,plain,
( 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))))))))))
| ~ spl0_4
| ~ spl0_3 ),
inference(backward_demodulation,[status(thm)],[f218,f194]) ).
fof(f223,plain,
( 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))))))))))
| ~ spl0_4
| ~ spl0_3 ),
inference(forward_demodulation,[status(thm)],[f218,f222]) ).
fof(f224,plain,
( 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)))))))))
| ~ spl0_4
| ~ spl0_3 ),
inference(forward_demodulation,[status(thm)],[f41,f223]) ).
fof(f227,plain,
( spl0_5
<=> x16 = x8 ),
introduced(split_symbol_definition) ).
fof(f228,plain,
( x16 = x8
| ~ spl0_5 ),
inference(component_clause,[status(thm)],[f227]) ).
fof(f230,plain,
( x16 = x7
| x16 = x8
| ~ spl0_4
| ~ spl0_3 ),
inference(resolution,[status(thm)],[f224,f164]) ).
fof(f231,plain,
( spl0_2
| spl0_5
| ~ spl0_4
| ~ spl0_3 ),
inference(split_clause,[status(thm)],[f230,f170,f227,f217,f173]) ).
fof(f232,plain,
( $false
| ~ spl0_3
| ~ spl0_5 ),
inference(forward_subsumption_resolution,[status(thm)],[f228,f196]) ).
fof(f233,plain,
( ~ spl0_3
| ~ spl0_5 ),
inference(contradiction_clause,[status(thm)],[f232]) ).
fof(f234,plain,
$false,
inference(sat_refutation,[status(thm)],[f177,f187,f221,f231,f233]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : SWW437-1 : TPTP v8.1.2. Released v5.2.0.
% 0.03/0.12 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.12/0.32 % Computer : n032.cluster.edu
% 0.12/0.32 % Model : x86_64 x86_64
% 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32 % Memory : 8042.1875MB
% 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32 % CPULimit : 300
% 0.12/0.32 % WCLimit : 300
% 0.12/0.32 % DateTime : Mon Apr 29 23:12:20 EDT 2024
% 0.12/0.32 % CPUTime :
% 0.12/0.33 % Drodi V3.6.0
% 0.12/0.34 % Refutation found
% 0.12/0.34 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.12/0.34 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.12/0.35 % Elapsed time: 0.026275 seconds
% 0.12/0.35 % CPU time: 0.093162 seconds
% 0.12/0.35 % Total memory used: 21.768 MB
% 0.12/0.35 % Net memory used: 21.640 MB
%------------------------------------------------------------------------------