TSTP Solution File: SWW427-1 by Drodi---3.6.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : SWW427-1 : TPTP v8.1.2. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n002.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 20:50:14 EDT 2024
% Result : Unsatisfiable 0.13s 0.40s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 45
% Number of leaves : 15
% Syntax : Number of formulae : 100 ( 24 unt; 0 def)
% Number of atoms : 260 ( 60 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 303 ( 143 ~; 152 |; 0 &)
% ( 8 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 11 ( 2 avg)
% Number of predicates : 11 ( 9 usr; 9 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 11 con; 0-2 aty)
% Number of variables : 63 ( 63 !; 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(f13,hypothesis,
x1 != x11,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f19,hypothesis,
x7 != x9,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f20,hypothesis,
x2 != x11,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f21,hypothesis,
heap(sep(lseg(x10,x1),sep(lseg(x9,x2),sep(lseg(x9,x7),sep(lseg(x7,x10),sep(lseg(x11,x9),sep(lseg(x11,x7),sep(lseg(x11,x3),sep(lseg(x11,x6),sep(lseg(x4,x5),emp)))))))))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f23,plain,
! [X0,X1,X2] : sep(X0,sep(X1,X2)) = sep(X1,sep(X0,X2)),
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f24,plain,
! [X0,X1] : sep(lseg(X0,X0),X1) = X1,
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f31,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(f32,plain,
! [X0,X1,X2,X3] :
( ~ heap(sep(lseg(X0,X1),sep(lseg(X0,X2),X3)))
| X0 = X1
| X0 = X2 ),
inference(cnf_transformation,[status(esa)],[f31]) ).
fof(f42,plain,
x1 != x11,
inference(cnf_transformation,[status(esa)],[f13]) ).
fof(f48,plain,
x7 != x9,
inference(cnf_transformation,[status(esa)],[f19]) ).
fof(f49,plain,
x2 != x11,
inference(cnf_transformation,[status(esa)],[f20]) ).
fof(f50,plain,
heap(sep(lseg(x10,x1),sep(lseg(x9,x2),sep(lseg(x9,x7),sep(lseg(x7,x10),sep(lseg(x11,x9),sep(lseg(x11,x7),sep(lseg(x11,x3),sep(lseg(x11,x6),sep(lseg(x4,x5),emp)))))))))),
inference(cnf_transformation,[status(esa)],[f21]) ).
fof(f59,plain,
! [X0,X1,X2,X3] : sep(X0,sep(X1,sep(X2,X3))) = sep(X2,sep(X0,sep(X1,X3))),
inference(paramodulation,[status(thm)],[f23,f23]) ).
fof(f67,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)],[f23,f32]) ).
fof(f73,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)],[f23,f67]) ).
fof(f83,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)],[f23,f73]) ).
fof(f95,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)],[f23,f83]) ).
fof(f192,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ~ heap(sep(X0,sep(X1,sep(lseg(X2,X3),sep(X4,sep(lseg(X2,X5),X6))))))
| X2 = X3
| X2 = X5 ),
inference(paramodulation,[status(thm)],[f23,f95]) ).
fof(f243,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ~ heap(sep(X0,sep(X1,sep(lseg(X2,X3),sep(X4,sep(X5,sep(lseg(X2,X6),X7)))))))
| X2 = X3
| X2 = X6 ),
inference(paramodulation,[status(thm)],[f23,f192]) ).
fof(f898,plain,
heap(sep(lseg(x9,x2),sep(lseg(x9,x7),sep(lseg(x10,x1),sep(lseg(x7,x10),sep(lseg(x11,x9),sep(lseg(x11,x7),sep(lseg(x11,x3),sep(lseg(x11,x6),sep(lseg(x4,x5),emp)))))))))),
inference(forward_demodulation,[status(thm)],[f59,f50]) ).
fof(f899,plain,
heap(sep(lseg(x9,x7),sep(lseg(x10,x1),sep(lseg(x9,x2),sep(lseg(x7,x10),sep(lseg(x11,x9),sep(lseg(x11,x7),sep(lseg(x11,x3),sep(lseg(x11,x6),sep(lseg(x4,x5),emp)))))))))),
inference(forward_demodulation,[status(thm)],[f59,f898]) ).
fof(f900,plain,
heap(sep(lseg(x9,x7),sep(lseg(x9,x2),sep(lseg(x7,x10),sep(lseg(x10,x1),sep(lseg(x11,x9),sep(lseg(x11,x7),sep(lseg(x11,x3),sep(lseg(x11,x6),sep(lseg(x4,x5),emp)))))))))),
inference(forward_demodulation,[status(thm)],[f59,f899]) ).
fof(f901,plain,
heap(sep(lseg(x9,x7),sep(lseg(x9,x2),sep(lseg(x11,x9),sep(lseg(x7,x10),sep(lseg(x10,x1),sep(lseg(x11,x7),sep(lseg(x11,x3),sep(lseg(x11,x6),sep(lseg(x4,x5),emp)))))))))),
inference(forward_demodulation,[status(thm)],[f59,f900]) ).
fof(f902,plain,
heap(sep(lseg(x9,x7),sep(lseg(x9,x2),sep(lseg(x11,x9),sep(lseg(x11,x7),sep(lseg(x7,x10),sep(lseg(x10,x1),sep(lseg(x11,x3),sep(lseg(x11,x6),sep(lseg(x4,x5),emp)))))))))),
inference(forward_demodulation,[status(thm)],[f59,f901]) ).
fof(f903,plain,
heap(sep(lseg(x9,x7),sep(lseg(x9,x2),sep(lseg(x11,x9),sep(lseg(x11,x7),sep(lseg(x11,x3),sep(lseg(x7,x10),sep(lseg(x10,x1),sep(lseg(x11,x6),sep(lseg(x4,x5),emp)))))))))),
inference(forward_demodulation,[status(thm)],[f59,f902]) ).
fof(f904,plain,
heap(sep(lseg(x9,x7),sep(lseg(x9,x2),sep(lseg(x11,x9),sep(lseg(x11,x7),sep(lseg(x11,x3),sep(lseg(x11,x6),sep(lseg(x7,x10),sep(lseg(x10,x1),sep(lseg(x4,x5),emp)))))))))),
inference(forward_demodulation,[status(thm)],[f59,f903]) ).
fof(f905,plain,
heap(sep(lseg(x9,x7),sep(lseg(x9,x2),sep(lseg(x11,x9),sep(lseg(x11,x7),sep(lseg(x11,x3),sep(lseg(x11,x6),sep(lseg(x4,x5),sep(lseg(x7,x10),sep(lseg(x10,x1),emp)))))))))),
inference(forward_demodulation,[status(thm)],[f59,f904]) ).
fof(f906,plain,
( spl0_6
<=> x9 = x7 ),
introduced(split_symbol_definition) ).
fof(f907,plain,
( x9 = x7
| ~ spl0_6 ),
inference(component_clause,[status(thm)],[f906]) ).
fof(f909,plain,
( spl0_7
<=> x9 = x2 ),
introduced(split_symbol_definition) ).
fof(f910,plain,
( x9 = x2
| ~ spl0_7 ),
inference(component_clause,[status(thm)],[f909]) ).
fof(f912,plain,
( x9 = x7
| x9 = x2 ),
inference(resolution,[status(thm)],[f905,f32]) ).
fof(f913,plain,
( spl0_6
| spl0_7 ),
inference(split_clause,[status(thm)],[f912,f906,f909]) ).
fof(f914,plain,
( spl0_8
<=> x11 = x9 ),
introduced(split_symbol_definition) ).
fof(f915,plain,
( x11 = x9
| ~ spl0_8 ),
inference(component_clause,[status(thm)],[f914]) ).
fof(f917,plain,
( spl0_9
<=> x11 = x7 ),
introduced(split_symbol_definition) ).
fof(f918,plain,
( x11 = x7
| ~ spl0_9 ),
inference(component_clause,[status(thm)],[f917]) ).
fof(f920,plain,
( x11 = x9
| x11 = x7 ),
inference(resolution,[status(thm)],[f905,f95]) ).
fof(f921,plain,
( spl0_8
| spl0_9 ),
inference(split_clause,[status(thm)],[f920,f914,f917]) ).
fof(f922,plain,
( spl0_10
<=> x11 = x3 ),
introduced(split_symbol_definition) ).
fof(f923,plain,
( x11 = x3
| ~ spl0_10 ),
inference(component_clause,[status(thm)],[f922]) ).
fof(f925,plain,
( x11 = x9
| x11 = x3 ),
inference(resolution,[status(thm)],[f905,f192]) ).
fof(f926,plain,
( spl0_8
| spl0_10 ),
inference(split_clause,[status(thm)],[f925,f914,f922]) ).
fof(f927,plain,
( spl0_11
<=> x11 = x6 ),
introduced(split_symbol_definition) ).
fof(f928,plain,
( x11 = x6
| ~ spl0_11 ),
inference(component_clause,[status(thm)],[f927]) ).
fof(f930,plain,
( x11 = x9
| x11 = x6 ),
inference(resolution,[status(thm)],[f905,f243]) ).
fof(f931,plain,
( spl0_8
| spl0_11 ),
inference(split_clause,[status(thm)],[f930,f914,f927]) ).
fof(f938,plain,
( $false
| ~ spl0_6 ),
inference(forward_subsumption_resolution,[status(thm)],[f907,f48]) ).
fof(f939,plain,
~ spl0_6,
inference(contradiction_clause,[status(thm)],[f938]) ).
fof(f944,plain,
( heap(sep(lseg(x9,x7),sep(lseg(x9,x2),sep(lseg(x11,x9),sep(lseg(x11,x7),sep(lseg(x11,x11),sep(lseg(x11,x6),sep(lseg(x4,x5),sep(lseg(x7,x10),sep(lseg(x10,x1),emp))))))))))
| ~ spl0_10 ),
inference(backward_demodulation,[status(thm)],[f923,f905]) ).
fof(f945,plain,
( heap(sep(lseg(x9,x7),sep(lseg(x9,x2),sep(lseg(x11,x9),sep(lseg(x11,x11),sep(lseg(x11,x6),sep(lseg(x11,x7),sep(lseg(x4,x5),sep(lseg(x7,x10),sep(lseg(x10,x1),emp))))))))))
| ~ spl0_10 ),
inference(forward_demodulation,[status(thm)],[f59,f944]) ).
fof(f946,plain,
( heap(sep(lseg(x9,x7),sep(lseg(x9,x2),sep(lseg(x11,x9),sep(lseg(x11,x6),sep(lseg(x11,x7),sep(lseg(x4,x5),sep(lseg(x7,x10),sep(lseg(x10,x1),emp)))))))))
| ~ spl0_10 ),
inference(forward_demodulation,[status(thm)],[f24,f945]) ).
fof(f947,plain,
( heap(sep(lseg(x9,x7),sep(lseg(x9,x2),sep(lseg(x11,x9),sep(lseg(x11,x7),sep(lseg(x4,x5),sep(lseg(x11,x6),sep(lseg(x7,x10),sep(lseg(x10,x1),emp)))))))))
| ~ spl0_10 ),
inference(forward_demodulation,[status(thm)],[f59,f946]) ).
fof(f948,plain,
( heap(sep(lseg(x9,x7),sep(lseg(x9,x2),sep(lseg(x11,x9),sep(lseg(x11,x7),sep(lseg(x11,x6),sep(lseg(x7,x10),sep(lseg(x4,x5),sep(lseg(x10,x1),emp)))))))))
| ~ spl0_10 ),
inference(forward_demodulation,[status(thm)],[f59,f947]) ).
fof(f949,plain,
( heap(sep(lseg(x9,x7),sep(lseg(x9,x2),sep(lseg(x11,x9),sep(lseg(x11,x7),sep(lseg(x11,x6),sep(lseg(x4,x5),sep(lseg(x10,x1),sep(lseg(x7,x10),emp)))))))))
| ~ spl0_10 ),
inference(forward_demodulation,[status(thm)],[f59,f948]) ).
fof(f950,plain,
( heap(sep(lseg(x9,x7),sep(lseg(x9,x2),sep(lseg(x11,x9),sep(lseg(x11,x7),sep(lseg(x11,x6),sep(lseg(x4,x5),sep(lseg(x7,x10),sep(lseg(x10,x1),emp)))))))))
| ~ spl0_10 ),
inference(forward_demodulation,[status(thm)],[f23,f949]) ).
fof(f959,plain,
( x2 != x9
| ~ spl0_8 ),
inference(backward_demodulation,[status(thm)],[f915,f49]) ).
fof(f962,plain,
( heap(sep(lseg(x9,x7),sep(lseg(x9,x9),sep(lseg(x11,x9),sep(lseg(x11,x7),sep(lseg(x11,x6),sep(lseg(x4,x5),sep(lseg(x7,x10),sep(lseg(x10,x1),emp)))))))))
| ~ spl0_7
| ~ spl0_10 ),
inference(forward_demodulation,[status(thm)],[f910,f950]) ).
fof(f963,plain,
( heap(sep(lseg(x9,x9),sep(lseg(x11,x9),sep(lseg(x9,x7),sep(lseg(x11,x7),sep(lseg(x11,x6),sep(lseg(x4,x5),sep(lseg(x7,x10),sep(lseg(x10,x1),emp)))))))))
| ~ spl0_7
| ~ spl0_10 ),
inference(forward_demodulation,[status(thm)],[f59,f962]) ).
fof(f964,plain,
( heap(sep(lseg(x11,x9),sep(lseg(x9,x7),sep(lseg(x11,x7),sep(lseg(x11,x6),sep(lseg(x4,x5),sep(lseg(x7,x10),sep(lseg(x10,x1),emp))))))))
| ~ spl0_7
| ~ spl0_10 ),
inference(forward_demodulation,[status(thm)],[f24,f963]) ).
fof(f965,plain,
( heap(sep(lseg(x9,x7),sep(lseg(x11,x7),sep(lseg(x11,x9),sep(lseg(x11,x6),sep(lseg(x4,x5),sep(lseg(x7,x10),sep(lseg(x10,x1),emp))))))))
| ~ spl0_7
| ~ spl0_10 ),
inference(forward_demodulation,[status(thm)],[f59,f964]) ).
fof(f966,plain,
( heap(sep(lseg(x9,x7),sep(lseg(x11,x9),sep(lseg(x11,x6),sep(lseg(x11,x7),sep(lseg(x4,x5),sep(lseg(x7,x10),sep(lseg(x10,x1),emp))))))))
| ~ spl0_7
| ~ spl0_10 ),
inference(forward_demodulation,[status(thm)],[f59,f965]) ).
fof(f967,plain,
( heap(sep(lseg(x9,x7),sep(lseg(x11,x9),sep(lseg(x11,x7),sep(lseg(x4,x5),sep(lseg(x11,x6),sep(lseg(x7,x10),sep(lseg(x10,x1),emp))))))))
| ~ spl0_7
| ~ spl0_10 ),
inference(forward_demodulation,[status(thm)],[f59,f966]) ).
fof(f968,plain,
( heap(sep(lseg(x9,x7),sep(lseg(x11,x9),sep(lseg(x11,x7),sep(lseg(x11,x6),sep(lseg(x7,x10),sep(lseg(x4,x5),sep(lseg(x10,x1),emp))))))))
| ~ spl0_7
| ~ spl0_10 ),
inference(forward_demodulation,[status(thm)],[f59,f967]) ).
fof(f969,plain,
( heap(sep(lseg(x9,x7),sep(lseg(x11,x9),sep(lseg(x11,x7),sep(lseg(x11,x6),sep(lseg(x4,x5),sep(lseg(x10,x1),sep(lseg(x7,x10),emp))))))))
| ~ spl0_7
| ~ spl0_10 ),
inference(forward_demodulation,[status(thm)],[f59,f968]) ).
fof(f970,plain,
( heap(sep(lseg(x9,x7),sep(lseg(x11,x9),sep(lseg(x11,x7),sep(lseg(x11,x6),sep(lseg(x4,x5),sep(lseg(x7,x10),sep(lseg(x10,x1),emp))))))))
| ~ spl0_7
| ~ spl0_10 ),
inference(forward_demodulation,[status(thm)],[f23,f969]) ).
fof(f987,plain,
( x9 != x9
| ~ spl0_7
| ~ spl0_8 ),
inference(forward_demodulation,[status(thm)],[f910,f959]) ).
fof(f988,plain,
( $false
| ~ spl0_7
| ~ spl0_8 ),
inference(trivial_equality_resolution,[status(esa)],[f987]) ).
fof(f989,plain,
( ~ spl0_7
| ~ spl0_8 ),
inference(contradiction_clause,[status(thm)],[f988]) ).
fof(f990,plain,
( heap(sep(lseg(x9,x7),sep(lseg(x11,x9),sep(lseg(x11,x7),sep(lseg(x11,x11),sep(lseg(x4,x5),sep(lseg(x7,x10),sep(lseg(x10,x1),emp))))))))
| ~ spl0_11
| ~ spl0_7
| ~ spl0_10 ),
inference(backward_demodulation,[status(thm)],[f928,f970]) ).
fof(f991,plain,
( heap(sep(lseg(x9,x7),sep(lseg(x11,x9),sep(lseg(x11,x11),sep(lseg(x4,x5),sep(lseg(x11,x7),sep(lseg(x7,x10),sep(lseg(x10,x1),emp))))))))
| ~ spl0_11
| ~ spl0_7
| ~ spl0_10 ),
inference(forward_demodulation,[status(thm)],[f59,f990]) ).
fof(f992,plain,
( heap(sep(lseg(x9,x7),sep(lseg(x11,x9),sep(lseg(x4,x5),sep(lseg(x11,x7),sep(lseg(x7,x10),sep(lseg(x10,x1),emp)))))))
| ~ spl0_11
| ~ spl0_7
| ~ spl0_10 ),
inference(forward_demodulation,[status(thm)],[f24,f991]) ).
fof(f993,plain,
( heap(sep(lseg(x9,x7),sep(lseg(x11,x9),sep(lseg(x11,x7),sep(lseg(x7,x10),sep(lseg(x4,x5),sep(lseg(x10,x1),emp)))))))
| ~ spl0_11
| ~ spl0_7
| ~ spl0_10 ),
inference(forward_demodulation,[status(thm)],[f59,f992]) ).
fof(f994,plain,
( heap(sep(lseg(x9,x7),sep(lseg(x11,x9),sep(lseg(x11,x7),sep(lseg(x4,x5),sep(lseg(x10,x1),sep(lseg(x7,x10),emp)))))))
| ~ spl0_11
| ~ spl0_7
| ~ spl0_10 ),
inference(forward_demodulation,[status(thm)],[f59,f993]) ).
fof(f995,plain,
( heap(sep(lseg(x9,x7),sep(lseg(x11,x9),sep(lseg(x11,x7),sep(lseg(x4,x5),sep(lseg(x7,x10),sep(lseg(x10,x1),emp)))))))
| ~ spl0_11
| ~ spl0_7
| ~ spl0_10 ),
inference(forward_demodulation,[status(thm)],[f23,f994]) ).
fof(f996,plain,
( heap(sep(lseg(x9,x11),sep(lseg(x11,x9),sep(lseg(x11,x7),sep(lseg(x4,x5),sep(lseg(x7,x10),sep(lseg(x10,x1),emp)))))))
| ~ spl0_9
| ~ spl0_11
| ~ spl0_7
| ~ spl0_10 ),
inference(forward_demodulation,[status(thm)],[f918,f995]) ).
fof(f997,plain,
( heap(sep(lseg(x9,x11),sep(lseg(x11,x9),sep(lseg(x11,x11),sep(lseg(x4,x5),sep(lseg(x7,x10),sep(lseg(x10,x1),emp)))))))
| ~ spl0_9
| ~ spl0_11
| ~ spl0_7
| ~ spl0_10 ),
inference(forward_demodulation,[status(thm)],[f918,f996]) ).
fof(f998,plain,
( heap(sep(lseg(x9,x11),sep(lseg(x11,x9),sep(lseg(x4,x5),sep(lseg(x7,x10),sep(lseg(x10,x1),emp))))))
| ~ spl0_9
| ~ spl0_11
| ~ spl0_7
| ~ spl0_10 ),
inference(forward_demodulation,[status(thm)],[f24,f997]) ).
fof(f999,plain,
( heap(sep(lseg(x9,x11),sep(lseg(x11,x9),sep(lseg(x4,x5),sep(lseg(x11,x10),sep(lseg(x10,x1),emp))))))
| ~ spl0_9
| ~ spl0_11
| ~ spl0_7
| ~ spl0_10 ),
inference(forward_demodulation,[status(thm)],[f918,f998]) ).
fof(f1000,plain,
( heap(sep(lseg(x9,x11),sep(lseg(x11,x9),sep(lseg(x11,x10),sep(lseg(x10,x1),sep(lseg(x4,x5),emp))))))
| ~ spl0_9
| ~ spl0_11
| ~ spl0_7
| ~ spl0_10 ),
inference(forward_demodulation,[status(thm)],[f59,f999]) ).
fof(f1001,plain,
( heap(sep(lseg(x9,x11),sep(lseg(x11,x9),sep(lseg(x11,x10),sep(lseg(x4,x5),sep(lseg(x10,x1),emp))))))
| ~ spl0_9
| ~ spl0_11
| ~ spl0_7
| ~ spl0_10 ),
inference(forward_demodulation,[status(thm)],[f23,f1000]) ).
fof(f1002,plain,
( spl0_13
<=> x11 = x10 ),
introduced(split_symbol_definition) ).
fof(f1003,plain,
( x11 = x10
| ~ spl0_13 ),
inference(component_clause,[status(thm)],[f1002]) ).
fof(f1015,plain,
( x11 = x9
| x11 = x10
| ~ spl0_9
| ~ spl0_11
| ~ spl0_7
| ~ spl0_10 ),
inference(resolution,[status(thm)],[f1001,f73]) ).
fof(f1016,plain,
( spl0_8
| spl0_13
| ~ spl0_9
| ~ spl0_11
| ~ spl0_7
| ~ spl0_10 ),
inference(split_clause,[status(thm)],[f1015,f914,f1002,f917,f927,f909,f922]) ).
fof(f1020,plain,
( heap(sep(lseg(x9,x11),sep(lseg(x11,x9),sep(lseg(x11,x10),sep(lseg(x4,x5),sep(lseg(x11,x1),emp))))))
| ~ spl0_13
| ~ spl0_9
| ~ spl0_11
| ~ spl0_7
| ~ spl0_10 ),
inference(backward_demodulation,[status(thm)],[f1003,f1001]) ).
fof(f1021,plain,
( heap(sep(lseg(x9,x11),sep(lseg(x11,x9),sep(lseg(x11,x1),sep(lseg(x11,x10),sep(lseg(x4,x5),emp))))))
| ~ spl0_13
| ~ spl0_9
| ~ spl0_11
| ~ spl0_7
| ~ spl0_10 ),
inference(forward_demodulation,[status(thm)],[f59,f1020]) ).
fof(f1022,plain,
( heap(sep(lseg(x9,x11),sep(lseg(x11,x9),sep(lseg(x11,x1),sep(lseg(x11,x11),sep(lseg(x4,x5),emp))))))
| ~ spl0_13
| ~ spl0_9
| ~ spl0_11
| ~ spl0_7
| ~ spl0_10 ),
inference(forward_demodulation,[status(thm)],[f1003,f1021]) ).
fof(f1023,plain,
( heap(sep(lseg(x9,x11),sep(lseg(x11,x9),sep(lseg(x11,x1),sep(lseg(x4,x5),emp)))))
| ~ spl0_13
| ~ spl0_9
| ~ spl0_11
| ~ spl0_7
| ~ spl0_10 ),
inference(forward_demodulation,[status(thm)],[f24,f1022]) ).
fof(f1024,plain,
( spl0_16
<=> x11 = x1 ),
introduced(split_symbol_definition) ).
fof(f1025,plain,
( x11 = x1
| ~ spl0_16 ),
inference(component_clause,[status(thm)],[f1024]) ).
fof(f1037,plain,
( x11 = x9
| x11 = x1
| ~ spl0_13
| ~ spl0_9
| ~ spl0_11
| ~ spl0_7
| ~ spl0_10 ),
inference(resolution,[status(thm)],[f1023,f73]) ).
fof(f1038,plain,
( spl0_8
| spl0_16
| ~ spl0_13
| ~ spl0_9
| ~ spl0_11
| ~ spl0_7
| ~ spl0_10 ),
inference(split_clause,[status(thm)],[f1037,f914,f1024,f1002,f917,f927,f909,f922]) ).
fof(f1064,plain,
( x1 != x1
| ~ spl0_16 ),
inference(forward_demodulation,[status(thm)],[f1025,f42]) ).
fof(f1065,plain,
( $false
| ~ spl0_16 ),
inference(trivial_equality_resolution,[status(esa)],[f1064]) ).
fof(f1066,plain,
~ spl0_16,
inference(contradiction_clause,[status(thm)],[f1065]) ).
fof(f1067,plain,
$false,
inference(sat_refutation,[status(thm)],[f913,f921,f926,f931,f939,f989,f1016,f1038,f1066]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SWW427-1 : TPTP v8.1.2. Released v5.2.0.
% 0.11/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34 % Computer : n002.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Mon Apr 29 23:30:39 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.13/0.35 % Drodi V3.6.0
% 0.13/0.40 % Refutation found
% 0.13/0.40 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.13/0.40 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.19/0.43 % Elapsed time: 0.071382 seconds
% 0.19/0.43 % CPU time: 0.463823 seconds
% 0.19/0.43 % Total memory used: 65.513 MB
% 0.19/0.43 % Net memory used: 65.134 MB
%------------------------------------------------------------------------------