TSTP Solution File: SWW431-1 by Drodi---3.6.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : SWW431-1 : TPTP v8.1.2. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n008.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 20:50:15 EDT 2024
% Result : Unsatisfiable 0.17s 0.46s
% Output : CNFRefutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 50
% Number of leaves : 8
% Syntax : Number of formulae : 80 ( 38 unt; 0 def)
% Number of atoms : 134 ( 37 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 99 ( 45 ~; 51 |; 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 : 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(f18,hypothesis,
x7 != x11,
file('/export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p') ).
fof(f26,plain,
! [X0,X1,X2] : sep(X0,sep(X1,X2)) = sep(X1,sep(X0,X2)),
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f27,plain,
! [X0,X1] : sep(lseg(X0,X0),X1) = X1,
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f34,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(f35,plain,
! [X0,X1,X2,X3] :
( ~ heap(sep(lseg(X0,X1),sep(lseg(X0,X2),X3)))
| X0 = X1
| X0 = X2 ),
inference(cnf_transformation,[status(esa)],[f34]) ).
fof(f50,plain,
x7 != x11,
inference(cnf_transformation,[status(esa)],[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(esa)],[f24]) ).
fof(f65,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(f73,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)],[f26,f35]) ).
fof(f79,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)],[f26,f73]) ).
fof(f89,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)],[f26,f79]) ).
fof(f102,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)],[f26,f89]) ).
fof(f209,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)],[f65,f56]) ).
fof(f210,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)],[f65,f209]) ).
fof(f211,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)],[f65,f210]) ).
fof(f212,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)],[f65,f211]) ).
fof(f213,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)],[f65,f212]) ).
fof(f214,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)],[f65,f213]) ).
fof(f215,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)],[f65,f214]) ).
fof(f216,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)],[f65,f215]) ).
fof(f217,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)],[f65,f216]) ).
fof(f218,plain,
heap(sep(lseg(x12,x7),sep(lseg(x7,x10),sep(lseg(x5,x3),sep(lseg(x13,x8),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)],[f65,f217]) ).
fof(f219,plain,
heap(sep(lseg(x12,x7),sep(lseg(x7,x10),sep(lseg(x13,x8),sep(lseg(x10,x8),sep(lseg(x5,x3),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)],[f65,f218]) ).
fof(f220,plain,
heap(sep(lseg(x12,x7),sep(lseg(x7,x10),sep(lseg(x13,x8),sep(lseg(x5,x3),sep(lseg(x2,x9),sep(lseg(x10,x8),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)],[f65,f219]) ).
fof(f221,plain,
heap(sep(lseg(x12,x7),sep(lseg(x7,x10),sep(lseg(x13,x8),sep(lseg(x5,x3),sep(lseg(x10,x8),sep(lseg(x9,x2),sep(lseg(x2,x9),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)],[f65,f220]) ).
fof(f222,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(x1,x11),sep(lseg(x9,x2),sep(lseg(x4,x9),sep(lseg(x11,x12),sep(lseg(x11,x7),sep(lseg(x11,x1),emp))))))))))))),
inference(forward_demodulation,[status(thm)],[f65,f221]) ).
fof(f223,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(x4,x9),sep(lseg(x1,x11),sep(lseg(x11,x12),sep(lseg(x11,x7),sep(lseg(x11,x1),emp))))))))))))),
inference(forward_demodulation,[status(thm)],[f65,f222]) ).
fof(f224,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)],[f65,f223]) ).
fof(f225,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)],[f65,f224]) ).
fof(f226,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)],[f65,f225]) ).
fof(f227,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)],[f65,f226]) ).
fof(f228,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)],[f65,f227]) ).
fof(f229,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(x2,x9),sep(lseg(x10,x8),sep(lseg(x9,x2),sep(lseg(x1,x11),sep(lseg(x4,x9),sep(lseg(x11,x1),emp))))))))))))),
inference(forward_demodulation,[status(thm)],[f65,f228]) ).
fof(f230,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(x9,x2),sep(lseg(x2,x9),sep(lseg(x1,x11),sep(lseg(x4,x9),sep(lseg(x11,x1),emp))))))))))))),
inference(forward_demodulation,[status(thm)],[f65,f229]) ).
fof(f231,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(x1,x11),sep(lseg(x9,x2),sep(lseg(x4,x9),sep(lseg(x11,x1),emp))))))))))))),
inference(forward_demodulation,[status(thm)],[f65,f230]) ).
fof(f232,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(x4,x9),sep(lseg(x1,x11),sep(lseg(x11,x1),emp))))))))))))),
inference(forward_demodulation,[status(thm)],[f65,f231]) ).
fof(f233,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)],[f65,f232]) ).
fof(f234,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)],[f65,f233]) ).
fof(f235,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)],[f65,f234]) ).
fof(f295,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ~ heap(sep(X0,sep(X1,sep(X2,sep(lseg(X3,X4),sep(lseg(X3,X5),X6))))))
| X3 = X4
| X3 = X5 ),
inference(paramodulation,[status(thm)],[f65,f102]) ).
fof(f544,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ~ heap(sep(X0,sep(X1,sep(X2,sep(X3,sep(lseg(X4,X5),sep(lseg(X4,X6),X7)))))))
| X4 = X5
| X4 = X6 ),
inference(paramodulation,[status(thm)],[f65,f295]) ).
fof(f745,plain,
( spl0_5
<=> x11 = x12 ),
introduced(split_symbol_definition) ).
fof(f746,plain,
( x11 = x12
| ~ spl0_5 ),
inference(component_clause,[status(thm)],[f745]) ).
fof(f748,plain,
( spl0_6
<=> x11 = x7 ),
introduced(split_symbol_definition) ).
fof(f749,plain,
( x11 = x7
| ~ spl0_6 ),
inference(component_clause,[status(thm)],[f748]) ).
fof(f751,plain,
( x11 = x12
| x11 = x7 ),
inference(resolution,[status(thm)],[f544,f235]) ).
fof(f752,plain,
( spl0_5
| spl0_6 ),
inference(split_clause,[status(thm)],[f751,f745,f748]) ).
fof(f781,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,x12),sep(lseg(x4,x9),emp)))))))))))))
| ~ spl0_5 ),
inference(backward_demodulation,[status(thm)],[f746,f235]) ).
fof(f782,plain,
( 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)))))))))))))
| ~ spl0_5 ),
inference(forward_demodulation,[status(thm)],[f746,f781]) ).
fof(f783,plain,
( 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)))))))))))))
| ~ spl0_5 ),
inference(forward_demodulation,[status(thm)],[f65,f782]) ).
fof(f784,plain,
( 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)))))))))))))
| ~ spl0_5 ),
inference(forward_demodulation,[status(thm)],[f65,f783]) ).
fof(f785,plain,
( 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))))))))))))
| ~ spl0_5 ),
inference(forward_demodulation,[status(thm)],[f27,f784]) ).
fof(f786,plain,
( 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))))))))))))
| ~ spl0_5 ),
inference(forward_demodulation,[status(thm)],[f746,f785]) ).
fof(f787,plain,
( 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))))))))))))
| ~ spl0_5 ),
inference(forward_demodulation,[status(thm)],[f65,f786]) ).
fof(f788,plain,
( 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))))))))))))
| ~ spl0_5 ),
inference(forward_demodulation,[status(thm)],[f65,f787]) ).
fof(f789,plain,
( 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))))))))))))
| ~ spl0_5 ),
inference(forward_demodulation,[status(thm)],[f746,f788]) ).
fof(f790,plain,
( 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))))))))))))
| ~ spl0_5 ),
inference(forward_demodulation,[status(thm)],[f65,f789]) ).
fof(f791,plain,
( heap(sep(lseg(x12,x7),sep(lseg(x12,x7),sep(lseg(x12,x1),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,x12),sep(lseg(x4,x9),emp))))))))))))
| ~ spl0_5 ),
inference(forward_demodulation,[status(thm)],[f65,f790]) ).
fof(f792,plain,
( heap(sep(lseg(x12,x7),sep(lseg(x12,x7),sep(lseg(x12,x1),sep(lseg(x7,x10),sep(lseg(x5,x3),sep(lseg(x13,x8),sep(lseg(x10,x8),sep(lseg(x2,x9),sep(lseg(x9,x2),sep(lseg(x1,x12),sep(lseg(x4,x9),emp))))))))))))
| ~ spl0_5 ),
inference(forward_demodulation,[status(thm)],[f65,f791]) ).
fof(f793,plain,
( heap(sep(lseg(x12,x7),sep(lseg(x12,x7),sep(lseg(x12,x1),sep(lseg(x7,x10),sep(lseg(x13,x8),sep(lseg(x10,x8),sep(lseg(x5,x3),sep(lseg(x2,x9),sep(lseg(x9,x2),sep(lseg(x1,x12),sep(lseg(x4,x9),emp))))))))))))
| ~ spl0_5 ),
inference(forward_demodulation,[status(thm)],[f65,f792]) ).
fof(f794,plain,
( 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(x2,x9),sep(lseg(x10,x8),sep(lseg(x9,x2),sep(lseg(x1,x12),sep(lseg(x4,x9),emp))))))))))))
| ~ spl0_5 ),
inference(forward_demodulation,[status(thm)],[f65,f793]) ).
fof(f795,plain,
( 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(x9,x2),sep(lseg(x2,x9),sep(lseg(x1,x12),sep(lseg(x4,x9),emp))))))))))))
| ~ spl0_5 ),
inference(forward_demodulation,[status(thm)],[f65,f794]) ).
fof(f796,plain,
( 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(x1,x12),sep(lseg(x9,x2),sep(lseg(x4,x9),emp))))))))))))
| ~ spl0_5 ),
inference(forward_demodulation,[status(thm)],[f65,f795]) ).
fof(f797,plain,
( 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(x4,x9),sep(lseg(x1,x12),emp))))))))))))
| ~ spl0_5 ),
inference(forward_demodulation,[status(thm)],[f65,f796]) ).
fof(f798,plain,
( 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))))))))))))
| ~ spl0_5 ),
inference(forward_demodulation,[status(thm)],[f26,f797]) ).
fof(f800,plain,
( x7 != x12
| ~ spl0_5 ),
inference(backward_demodulation,[status(thm)],[f746,f50]) ).
fof(f801,plain,
( spl0_7
<=> x12 = x7 ),
introduced(split_symbol_definition) ).
fof(f802,plain,
( x12 = x7
| ~ spl0_7 ),
inference(component_clause,[status(thm)],[f801]) ).
fof(f804,plain,
( x12 = x7
| x12 = x7
| ~ spl0_5 ),
inference(resolution,[status(thm)],[f798,f35]) ).
fof(f805,plain,
( spl0_7
| ~ spl0_5 ),
inference(split_clause,[status(thm)],[f804,f801,f745]) ).
fof(f870,plain,
( x12 != x12
| ~ spl0_7
| ~ spl0_5 ),
inference(forward_demodulation,[status(thm)],[f802,f800]) ).
fof(f871,plain,
( $false
| ~ spl0_7
| ~ spl0_5 ),
inference(trivial_equality_resolution,[status(esa)],[f870]) ).
fof(f872,plain,
( ~ spl0_7
| ~ spl0_5 ),
inference(contradiction_clause,[status(thm)],[f871]) ).
fof(f922,plain,
( $false
| ~ spl0_6 ),
inference(forward_subsumption_resolution,[status(thm)],[f749,f50]) ).
fof(f923,plain,
~ spl0_6,
inference(contradiction_clause,[status(thm)],[f922]) ).
fof(f924,plain,
$false,
inference(sat_refutation,[status(thm)],[f752,f805,f872,f923]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SWW431-1 : TPTP v8.1.2. Released v5.2.0.
% 0.06/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.11/0.34 % Computer : n008.cluster.edu
% 0.11/0.34 % Model : x86_64 x86_64
% 0.11/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.34 % Memory : 8042.1875MB
% 0.11/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.34 % CPULimit : 300
% 0.11/0.34 % WCLimit : 300
% 0.11/0.34 % DateTime : Mon Apr 29 23:08:57 EDT 2024
% 0.11/0.34 % CPUTime :
% 0.11/0.35 % Drodi V3.6.0
% 0.17/0.46 % Refutation found
% 0.17/0.46 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.17/0.46 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.17/0.47 % Elapsed time: 0.113187 seconds
% 0.17/0.47 % CPU time: 0.799770 seconds
% 0.17/0.47 % Total memory used: 70.475 MB
% 0.17/0.47 % Net memory used: 69.741 MB
%------------------------------------------------------------------------------