TSTP Solution File: SWW425-1 by Drodi---3.5.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : SWW425-1 : TPTP v8.1.2. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n013.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 : Wed May 31 12:44:55 EDT 2023
% Result : Unsatisfiable 0.13s 0.37s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 53
% Number of leaves : 16
% Syntax : Number of formulae : 132 ( 42 unt; 0 def)
% Number of atoms : 304 ( 60 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 319 ( 147 ~; 164 |; 0 &)
% ( 8 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 3 avg)
% Maximal term depth : 10 ( 2 avg)
% Number of predicates : 11 ( 9 usr; 9 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 9 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/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(f11,axiom,
! [X,Y,Z,W,Sigma] :
( ~ heap(sep(lseg(X,Y),sep(lseg(Y,Z),sep(lseg(Z,W),Sigma))))
| Z = W
| heap(sep(lseg(X,Z),sep(lseg(Z,W),Sigma))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f13,hypothesis,
x1 != x7,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f14,hypothesis,
x1 != x10,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f22,hypothesis,
x2 != x7,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f23,hypothesis,
heap(sep(lseg(x5,x7),sep(lseg(x2,x5),sep(lseg(x2,x10),sep(lseg(x2,x1),sep(lseg(x9,x1),sep(lseg(x7,x6),sep(lseg(x3,x10),sep(lseg(x6,x9),emp))))))))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f25,plain,
! [X0,X1,X2] : sep(X0,sep(X1,X2)) = sep(X1,sep(X0,X2)),
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f26,plain,
! [X0,X1] : sep(lseg(X0,X0),X1) = X1,
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f33,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(f34,plain,
! [X0,X1,X2,X3] :
( ~ heap(sep(lseg(X0,X1),sep(lseg(X0,X2),X3)))
| X0 = X1
| X0 = X2 ),
inference(cnf_transformation,[status(esa)],[f33]) ).
fof(f41,plain,
! [X,Z,W,Sigma] :
( ! [Y] : ~ heap(sep(lseg(X,Y),sep(lseg(Y,Z),sep(lseg(Z,W),Sigma))))
| Z = W
| heap(sep(lseg(X,Z),sep(lseg(Z,W),Sigma))) ),
inference(miniscoping,[status(esa)],[f11]) ).
fof(f42,plain,
! [X0,X1,X2,X3,X4] :
( ~ heap(sep(lseg(X0,X1),sep(lseg(X1,X2),sep(lseg(X2,X3),X4))))
| X2 = X3
| heap(sep(lseg(X0,X2),sep(lseg(X2,X3),X4))) ),
inference(cnf_transformation,[status(esa)],[f41]) ).
fof(f44,plain,
x1 != x7,
inference(cnf_transformation,[status(esa)],[f13]) ).
fof(f45,plain,
x1 != x10,
inference(cnf_transformation,[status(esa)],[f14]) ).
fof(f53,plain,
x2 != x7,
inference(cnf_transformation,[status(esa)],[f22]) ).
fof(f54,plain,
heap(sep(lseg(x5,x7),sep(lseg(x2,x5),sep(lseg(x2,x10),sep(lseg(x2,x1),sep(lseg(x9,x1),sep(lseg(x7,x6),sep(lseg(x3,x10),sep(lseg(x6,x9),emp))))))))),
inference(cnf_transformation,[status(esa)],[f23]) ).
fof(f67,plain,
heap(sep(lseg(x5,x7),sep(lseg(x2,x5),sep(lseg(x2,x10),sep(lseg(x2,x1),sep(lseg(x9,x1),sep(lseg(x7,x6),sep(lseg(x6,x9),sep(lseg(x3,x10),emp))))))))),
inference(paramodulation,[status(thm)],[f25,f54]) ).
fof(f68,plain,
heap(sep(lseg(x2,x5),sep(lseg(x5,x7),sep(lseg(x2,x10),sep(lseg(x2,x1),sep(lseg(x9,x1),sep(lseg(x7,x6),sep(lseg(x6,x9),sep(lseg(x3,x10),emp))))))))),
inference(forward_demodulation,[status(thm)],[f25,f67]) ).
fof(f69,plain,
heap(sep(lseg(x2,x5),sep(lseg(x2,x10),sep(lseg(x5,x7),sep(lseg(x2,x1),sep(lseg(x9,x1),sep(lseg(x7,x6),sep(lseg(x6,x9),sep(lseg(x3,x10),emp))))))))),
inference(forward_demodulation,[status(thm)],[f25,f68]) ).
fof(f70,plain,
heap(sep(lseg(x2,x10),sep(lseg(x2,x5),sep(lseg(x5,x7),sep(lseg(x2,x1),sep(lseg(x9,x1),sep(lseg(x7,x6),sep(lseg(x6,x9),sep(lseg(x3,x10),emp))))))))),
inference(forward_demodulation,[status(thm)],[f25,f69]) ).
fof(f71,plain,
heap(sep(lseg(x2,x10),sep(lseg(x2,x5),sep(lseg(x2,x1),sep(lseg(x5,x7),sep(lseg(x9,x1),sep(lseg(x7,x6),sep(lseg(x6,x9),sep(lseg(x3,x10),emp))))))))),
inference(forward_demodulation,[status(thm)],[f25,f70]) ).
fof(f72,plain,
heap(sep(lseg(x2,x10),sep(lseg(x2,x1),sep(lseg(x2,x5),sep(lseg(x5,x7),sep(lseg(x9,x1),sep(lseg(x7,x6),sep(lseg(x6,x9),sep(lseg(x3,x10),emp))))))))),
inference(forward_demodulation,[status(thm)],[f25,f71]) ).
fof(f73,plain,
heap(sep(lseg(x2,x1),sep(lseg(x2,x10),sep(lseg(x2,x5),sep(lseg(x5,x7),sep(lseg(x9,x1),sep(lseg(x7,x6),sep(lseg(x6,x9),sep(lseg(x3,x10),emp))))))))),
inference(forward_demodulation,[status(thm)],[f25,f72]) ).
fof(f74,plain,
heap(sep(lseg(x2,x1),sep(lseg(x2,x10),sep(lseg(x2,x5),sep(lseg(x9,x1),sep(lseg(x5,x7),sep(lseg(x7,x6),sep(lseg(x6,x9),sep(lseg(x3,x10),emp))))))))),
inference(forward_demodulation,[status(thm)],[f25,f73]) ).
fof(f75,plain,
heap(sep(lseg(x2,x1),sep(lseg(x2,x10),sep(lseg(x9,x1),sep(lseg(x2,x5),sep(lseg(x5,x7),sep(lseg(x7,x6),sep(lseg(x6,x9),sep(lseg(x3,x10),emp))))))))),
inference(forward_demodulation,[status(thm)],[f25,f74]) ).
fof(f76,plain,
heap(sep(lseg(x2,x1),sep(lseg(x9,x1),sep(lseg(x2,x10),sep(lseg(x2,x5),sep(lseg(x5,x7),sep(lseg(x7,x6),sep(lseg(x6,x9),sep(lseg(x3,x10),emp))))))))),
inference(forward_demodulation,[status(thm)],[f25,f75]) ).
fof(f77,plain,
heap(sep(lseg(x9,x1),sep(lseg(x2,x1),sep(lseg(x2,x10),sep(lseg(x2,x5),sep(lseg(x5,x7),sep(lseg(x7,x6),sep(lseg(x6,x9),sep(lseg(x3,x10),emp))))))))),
inference(forward_demodulation,[status(thm)],[f25,f76]) ).
fof(f78,plain,
heap(sep(lseg(x9,x1),sep(lseg(x2,x1),sep(lseg(x2,x10),sep(lseg(x2,x5),sep(lseg(x7,x6),sep(lseg(x5,x7),sep(lseg(x6,x9),sep(lseg(x3,x10),emp))))))))),
inference(forward_demodulation,[status(thm)],[f25,f77]) ).
fof(f79,plain,
heap(sep(lseg(x9,x1),sep(lseg(x2,x1),sep(lseg(x2,x10),sep(lseg(x7,x6),sep(lseg(x2,x5),sep(lseg(x5,x7),sep(lseg(x6,x9),sep(lseg(x3,x10),emp))))))))),
inference(forward_demodulation,[status(thm)],[f25,f78]) ).
fof(f80,plain,
heap(sep(lseg(x9,x1),sep(lseg(x2,x1),sep(lseg(x7,x6),sep(lseg(x2,x10),sep(lseg(x2,x5),sep(lseg(x5,x7),sep(lseg(x6,x9),sep(lseg(x3,x10),emp))))))))),
inference(forward_demodulation,[status(thm)],[f25,f79]) ).
fof(f81,plain,
heap(sep(lseg(x9,x1),sep(lseg(x7,x6),sep(lseg(x2,x1),sep(lseg(x2,x10),sep(lseg(x2,x5),sep(lseg(x5,x7),sep(lseg(x6,x9),sep(lseg(x3,x10),emp))))))))),
inference(forward_demodulation,[status(thm)],[f25,f80]) ).
fof(f82,plain,
heap(sep(lseg(x7,x6),sep(lseg(x9,x1),sep(lseg(x2,x1),sep(lseg(x2,x10),sep(lseg(x2,x5),sep(lseg(x5,x7),sep(lseg(x6,x9),sep(lseg(x3,x10),emp))))))))),
inference(forward_demodulation,[status(thm)],[f25,f81]) ).
fof(f83,plain,
heap(sep(lseg(x7,x6),sep(lseg(x9,x1),sep(lseg(x2,x1),sep(lseg(x2,x10),sep(lseg(x2,x5),sep(lseg(x6,x9),sep(lseg(x5,x7),sep(lseg(x3,x10),emp))))))))),
inference(forward_demodulation,[status(thm)],[f25,f82]) ).
fof(f84,plain,
heap(sep(lseg(x7,x6),sep(lseg(x9,x1),sep(lseg(x2,x1),sep(lseg(x2,x10),sep(lseg(x6,x9),sep(lseg(x2,x5),sep(lseg(x5,x7),sep(lseg(x3,x10),emp))))))))),
inference(forward_demodulation,[status(thm)],[f25,f83]) ).
fof(f85,plain,
heap(sep(lseg(x7,x6),sep(lseg(x9,x1),sep(lseg(x2,x1),sep(lseg(x6,x9),sep(lseg(x2,x10),sep(lseg(x2,x5),sep(lseg(x5,x7),sep(lseg(x3,x10),emp))))))))),
inference(forward_demodulation,[status(thm)],[f25,f84]) ).
fof(f86,plain,
heap(sep(lseg(x7,x6),sep(lseg(x9,x1),sep(lseg(x6,x9),sep(lseg(x2,x1),sep(lseg(x2,x10),sep(lseg(x2,x5),sep(lseg(x5,x7),sep(lseg(x3,x10),emp))))))))),
inference(forward_demodulation,[status(thm)],[f25,f85]) ).
fof(f87,plain,
heap(sep(lseg(x7,x6),sep(lseg(x6,x9),sep(lseg(x9,x1),sep(lseg(x2,x1),sep(lseg(x2,x10),sep(lseg(x2,x5),sep(lseg(x5,x7),sep(lseg(x3,x10),emp))))))))),
inference(forward_demodulation,[status(thm)],[f25,f86]) ).
fof(f88,plain,
heap(sep(lseg(x6,x9),sep(lseg(x7,x6),sep(lseg(x9,x1),sep(lseg(x2,x1),sep(lseg(x2,x10),sep(lseg(x2,x5),sep(lseg(x5,x7),sep(lseg(x3,x10),emp))))))))),
inference(forward_demodulation,[status(thm)],[f25,f87]) ).
fof(f89,plain,
heap(sep(lseg(x6,x9),sep(lseg(x7,x6),sep(lseg(x9,x1),sep(lseg(x2,x1),sep(lseg(x2,x10),sep(lseg(x2,x5),sep(lseg(x3,x10),sep(lseg(x5,x7),emp))))))))),
inference(forward_demodulation,[status(thm)],[f25,f88]) ).
fof(f90,plain,
heap(sep(lseg(x6,x9),sep(lseg(x7,x6),sep(lseg(x9,x1),sep(lseg(x2,x1),sep(lseg(x2,x10),sep(lseg(x3,x10),sep(lseg(x2,x5),sep(lseg(x5,x7),emp))))))))),
inference(forward_demodulation,[status(thm)],[f25,f89]) ).
fof(f91,plain,
heap(sep(lseg(x6,x9),sep(lseg(x7,x6),sep(lseg(x9,x1),sep(lseg(x2,x1),sep(lseg(x3,x10),sep(lseg(x2,x10),sep(lseg(x2,x5),sep(lseg(x5,x7),emp))))))))),
inference(forward_demodulation,[status(thm)],[f25,f90]) ).
fof(f92,plain,
heap(sep(lseg(x6,x9),sep(lseg(x7,x6),sep(lseg(x9,x1),sep(lseg(x3,x10),sep(lseg(x2,x1),sep(lseg(x2,x10),sep(lseg(x2,x5),sep(lseg(x5,x7),emp))))))))),
inference(forward_demodulation,[status(thm)],[f25,f91]) ).
fof(f223,plain,
! [X0,X1,X2,X3,X4] :
( ~ heap(sep(lseg(X0,X1),sep(lseg(X2,X0),sep(lseg(X1,X3),X4))))
| X1 = X3
| heap(sep(lseg(X2,X1),sep(lseg(X1,X3),X4))) ),
inference(paramodulation,[status(thm)],[f25,f42]) ).
fof(f227,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)],[f25,f34]) ).
fof(f389,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)],[f25,f227]) ).
fof(f395,plain,
( spl0_2
<=> x2 = x5 ),
introduced(split_symbol_definition) ).
fof(f396,plain,
( x2 = x5
| ~ spl0_2 ),
inference(component_clause,[status(thm)],[f395]) ).
fof(f398,plain,
( spl0_3
<=> x2 = x10 ),
introduced(split_symbol_definition) ).
fof(f399,plain,
( x2 = x10
| ~ spl0_3 ),
inference(component_clause,[status(thm)],[f398]) ).
fof(f401,plain,
( x2 = x5
| x2 = x10 ),
inference(resolution,[status(thm)],[f389,f54]) ).
fof(f402,plain,
( spl0_2
| spl0_3 ),
inference(split_clause,[status(thm)],[f401,f395,f398]) ).
fof(f407,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)],[f25,f389]) ).
fof(f417,plain,
( spl0_4
<=> x2 = x1 ),
introduced(split_symbol_definition) ).
fof(f418,plain,
( x2 = x1
| ~ spl0_4 ),
inference(component_clause,[status(thm)],[f417]) ).
fof(f420,plain,
( x2 = x5
| x2 = x1 ),
inference(resolution,[status(thm)],[f407,f54]) ).
fof(f421,plain,
( spl0_2
| spl0_4 ),
inference(split_clause,[status(thm)],[f420,f395,f417]) ).
fof(f424,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)],[f25,f407]) ).
fof(f476,plain,
( heap(sep(lseg(x6,x9),sep(lseg(x7,x6),sep(lseg(x9,x1),sep(lseg(x3,x10),sep(lseg(x2,x1),sep(lseg(x2,x10),sep(lseg(x2,x5),sep(lseg(x2,x7),emp)))))))))
| ~ spl0_2 ),
inference(backward_demodulation,[status(thm)],[f396,f92]) ).
fof(f477,plain,
( heap(sep(lseg(x6,x9),sep(lseg(x7,x6),sep(lseg(x9,x1),sep(lseg(x3,x10),sep(lseg(x2,x1),sep(lseg(x2,x10),sep(lseg(x2,x7),sep(lseg(x2,x5),emp)))))))))
| ~ spl0_2 ),
inference(forward_demodulation,[status(thm)],[f25,f476]) ).
fof(f478,plain,
( heap(sep(lseg(x6,x9),sep(lseg(x7,x6),sep(lseg(x9,x1),sep(lseg(x3,x10),sep(lseg(x2,x1),sep(lseg(x2,x7),sep(lseg(x2,x10),sep(lseg(x2,x5),emp)))))))))
| ~ spl0_2 ),
inference(forward_demodulation,[status(thm)],[f25,f477]) ).
fof(f479,plain,
( heap(sep(lseg(x6,x9),sep(lseg(x7,x6),sep(lseg(x9,x1),sep(lseg(x3,x10),sep(lseg(x2,x1),sep(lseg(x2,x7),sep(lseg(x2,x10),sep(lseg(x2,x2),emp)))))))))
| ~ spl0_2 ),
inference(forward_demodulation,[status(thm)],[f396,f478]) ).
fof(f480,plain,
( heap(sep(lseg(x6,x9),sep(lseg(x7,x6),sep(lseg(x9,x1),sep(lseg(x3,x10),sep(lseg(x2,x1),sep(lseg(x2,x7),sep(lseg(x2,x10),emp))))))))
| ~ spl0_2 ),
inference(forward_demodulation,[status(thm)],[f26,f479]) ).
fof(f536,plain,
( x10 = x1
| ~ spl0_3
| ~ spl0_4 ),
inference(forward_demodulation,[status(thm)],[f399,f418]) ).
fof(f537,plain,
( $false
| ~ spl0_3
| ~ spl0_4 ),
inference(forward_subsumption_resolution,[status(thm)],[f536,f45]) ).
fof(f538,plain,
( ~ spl0_3
| ~ spl0_4 ),
inference(contradiction_clause,[status(thm)],[f537]) ).
fof(f575,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)],[f25,f424]) ).
fof(f641,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)],[f25,f575]) ).
fof(f665,plain,
( spl0_7
<=> x9 = x1 ),
introduced(split_symbol_definition) ).
fof(f666,plain,
( x9 = x1
| ~ spl0_7 ),
inference(component_clause,[status(thm)],[f665]) ).
fof(f668,plain,
( spl0_8
<=> heap(sep(lseg(x7,x9),sep(lseg(x9,x1),sep(lseg(x3,x10),sep(lseg(x2,x1),sep(lseg(x2,x7),sep(lseg(x2,x10),emp))))))) ),
introduced(split_symbol_definition) ).
fof(f669,plain,
( heap(sep(lseg(x7,x9),sep(lseg(x9,x1),sep(lseg(x3,x10),sep(lseg(x2,x1),sep(lseg(x2,x7),sep(lseg(x2,x10),emp)))))))
| ~ spl0_8 ),
inference(component_clause,[status(thm)],[f668]) ).
fof(f671,plain,
( x9 = x1
| heap(sep(lseg(x7,x9),sep(lseg(x9,x1),sep(lseg(x3,x10),sep(lseg(x2,x1),sep(lseg(x2,x7),sep(lseg(x2,x10),emp)))))))
| ~ spl0_2 ),
inference(resolution,[status(thm)],[f223,f480]) ).
fof(f672,plain,
( spl0_7
| spl0_8
| ~ spl0_2 ),
inference(split_clause,[status(thm)],[f671,f665,f668,f395]) ).
fof(f734,plain,
( heap(sep(lseg(x6,x9),sep(lseg(x7,x6),sep(lseg(x1,x1),sep(lseg(x3,x10),sep(lseg(x2,x1),sep(lseg(x2,x7),sep(lseg(x2,x10),emp))))))))
| ~ spl0_7
| ~ spl0_2 ),
inference(backward_demodulation,[status(thm)],[f666,f480]) ).
fof(f735,plain,
( heap(sep(lseg(x6,x1),sep(lseg(x7,x6),sep(lseg(x1,x1),sep(lseg(x3,x10),sep(lseg(x2,x1),sep(lseg(x2,x7),sep(lseg(x2,x10),emp))))))))
| ~ spl0_7
| ~ spl0_2 ),
inference(forward_demodulation,[status(thm)],[f666,f734]) ).
fof(f736,plain,
( heap(sep(lseg(x6,x1),sep(lseg(x1,x1),sep(lseg(x7,x6),sep(lseg(x3,x10),sep(lseg(x2,x1),sep(lseg(x2,x7),sep(lseg(x2,x10),emp))))))))
| ~ spl0_7
| ~ spl0_2 ),
inference(forward_demodulation,[status(thm)],[f25,f735]) ).
fof(f737,plain,
( heap(sep(lseg(x1,x1),sep(lseg(x6,x1),sep(lseg(x7,x6),sep(lseg(x3,x10),sep(lseg(x2,x1),sep(lseg(x2,x7),sep(lseg(x2,x10),emp))))))))
| ~ spl0_7
| ~ spl0_2 ),
inference(forward_demodulation,[status(thm)],[f25,f736]) ).
fof(f738,plain,
( heap(sep(lseg(x6,x1),sep(lseg(x7,x6),sep(lseg(x3,x10),sep(lseg(x2,x1),sep(lseg(x2,x7),sep(lseg(x2,x10),emp)))))))
| ~ spl0_7
| ~ spl0_2 ),
inference(forward_demodulation,[status(thm)],[f26,f737]) ).
fof(f740,plain,
( spl0_10
<=> x2 = x7 ),
introduced(split_symbol_definition) ).
fof(f741,plain,
( x2 = x7
| ~ spl0_10 ),
inference(component_clause,[status(thm)],[f740]) ).
fof(f743,plain,
( x2 = x1
| x2 = x7
| ~ spl0_7
| ~ spl0_2 ),
inference(resolution,[status(thm)],[f738,f641]) ).
fof(f744,plain,
( spl0_4
| spl0_10
| ~ spl0_7
| ~ spl0_2 ),
inference(split_clause,[status(thm)],[f743,f417,f740,f665,f395]) ).
fof(f745,plain,
( $false
| ~ spl0_10 ),
inference(forward_subsumption_resolution,[status(thm)],[f741,f53]) ).
fof(f746,plain,
~ spl0_10,
inference(contradiction_clause,[status(thm)],[f745]) ).
fof(f752,plain,
( heap(sep(lseg(x7,x9),sep(lseg(x9,x1),sep(lseg(x3,x10),sep(lseg(x1,x1),sep(lseg(x2,x7),sep(lseg(x2,x10),emp)))))))
| ~ spl0_4
| ~ spl0_8 ),
inference(forward_demodulation,[status(thm)],[f418,f669]) ).
fof(f753,plain,
( heap(sep(lseg(x7,x9),sep(lseg(x9,x1),sep(lseg(x1,x1),sep(lseg(x3,x10),sep(lseg(x2,x7),sep(lseg(x2,x10),emp)))))))
| ~ spl0_4
| ~ spl0_8 ),
inference(forward_demodulation,[status(thm)],[f25,f752]) ).
fof(f754,plain,
( heap(sep(lseg(x7,x9),sep(lseg(x1,x1),sep(lseg(x9,x1),sep(lseg(x3,x10),sep(lseg(x2,x7),sep(lseg(x2,x10),emp)))))))
| ~ spl0_4
| ~ spl0_8 ),
inference(forward_demodulation,[status(thm)],[f25,f753]) ).
fof(f755,plain,
( heap(sep(lseg(x1,x1),sep(lseg(x7,x9),sep(lseg(x9,x1),sep(lseg(x3,x10),sep(lseg(x2,x7),sep(lseg(x2,x10),emp)))))))
| ~ spl0_4
| ~ spl0_8 ),
inference(forward_demodulation,[status(thm)],[f25,f754]) ).
fof(f756,plain,
( heap(sep(lseg(x7,x9),sep(lseg(x9,x1),sep(lseg(x3,x10),sep(lseg(x2,x7),sep(lseg(x2,x10),emp))))))
| ~ spl0_4
| ~ spl0_8 ),
inference(forward_demodulation,[status(thm)],[f26,f755]) ).
fof(f757,plain,
( heap(sep(lseg(x7,x9),sep(lseg(x9,x1),sep(lseg(x3,x10),sep(lseg(x1,x7),sep(lseg(x2,x10),emp))))))
| ~ spl0_4
| ~ spl0_8 ),
inference(forward_demodulation,[status(thm)],[f418,f756]) ).
fof(f758,plain,
( heap(sep(lseg(x7,x9),sep(lseg(x9,x1),sep(lseg(x1,x7),sep(lseg(x3,x10),sep(lseg(x2,x10),emp))))))
| ~ spl0_4
| ~ spl0_8 ),
inference(forward_demodulation,[status(thm)],[f25,f757]) ).
fof(f759,plain,
( heap(sep(lseg(x7,x9),sep(lseg(x1,x7),sep(lseg(x9,x1),sep(lseg(x3,x10),sep(lseg(x2,x10),emp))))))
| ~ spl0_4
| ~ spl0_8 ),
inference(forward_demodulation,[status(thm)],[f25,f758]) ).
fof(f760,plain,
( heap(sep(lseg(x1,x7),sep(lseg(x7,x9),sep(lseg(x9,x1),sep(lseg(x3,x10),sep(lseg(x2,x10),emp))))))
| ~ spl0_4
| ~ spl0_8 ),
inference(forward_demodulation,[status(thm)],[f25,f759]) ).
fof(f761,plain,
( heap(sep(lseg(x1,x7),sep(lseg(x7,x9),sep(lseg(x9,x1),sep(lseg(x3,x10),sep(lseg(x1,x10),emp))))))
| ~ spl0_4
| ~ spl0_8 ),
inference(forward_demodulation,[status(thm)],[f418,f760]) ).
fof(f762,plain,
( heap(sep(lseg(x1,x7),sep(lseg(x7,x9),sep(lseg(x9,x1),sep(lseg(x1,x10),sep(lseg(x3,x10),emp))))))
| ~ spl0_4
| ~ spl0_8 ),
inference(forward_demodulation,[status(thm)],[f25,f761]) ).
fof(f763,plain,
( heap(sep(lseg(x1,x7),sep(lseg(x7,x9),sep(lseg(x1,x10),sep(lseg(x9,x1),sep(lseg(x3,x10),emp))))))
| ~ spl0_4
| ~ spl0_8 ),
inference(forward_demodulation,[status(thm)],[f25,f762]) ).
fof(f764,plain,
( heap(sep(lseg(x1,x7),sep(lseg(x1,x10),sep(lseg(x7,x9),sep(lseg(x9,x1),sep(lseg(x3,x10),emp))))))
| ~ spl0_4
| ~ spl0_8 ),
inference(forward_demodulation,[status(thm)],[f25,f763]) ).
fof(f765,plain,
( spl0_11
<=> x1 = x7 ),
introduced(split_symbol_definition) ).
fof(f766,plain,
( x1 = x7
| ~ spl0_11 ),
inference(component_clause,[status(thm)],[f765]) ).
fof(f768,plain,
( spl0_12
<=> x1 = x10 ),
introduced(split_symbol_definition) ).
fof(f769,plain,
( x1 = x10
| ~ spl0_12 ),
inference(component_clause,[status(thm)],[f768]) ).
fof(f771,plain,
( x1 = x7
| x1 = x10
| ~ spl0_4
| ~ spl0_8 ),
inference(resolution,[status(thm)],[f764,f34]) ).
fof(f772,plain,
( spl0_11
| spl0_12
| ~ spl0_4
| ~ spl0_8 ),
inference(split_clause,[status(thm)],[f771,f765,f768,f417,f668]) ).
fof(f773,plain,
( $false
| ~ spl0_12 ),
inference(forward_subsumption_resolution,[status(thm)],[f769,f45]) ).
fof(f774,plain,
~ spl0_12,
inference(contradiction_clause,[status(thm)],[f773]) ).
fof(f788,plain,
( $false
| ~ spl0_11 ),
inference(forward_subsumption_resolution,[status(thm)],[f766,f44]) ).
fof(f789,plain,
~ spl0_11,
inference(contradiction_clause,[status(thm)],[f788]) ).
fof(f790,plain,
( x2 = x1
| x2 = x7
| ~ spl0_8 ),
inference(resolution,[status(thm)],[f669,f641]) ).
fof(f791,plain,
( spl0_4
| spl0_10
| ~ spl0_8 ),
inference(split_clause,[status(thm)],[f790,f417,f740,f668]) ).
fof(f794,plain,
( heap(sep(lseg(x6,x1),sep(lseg(x7,x6),sep(lseg(x9,x1),sep(lseg(x3,x10),sep(lseg(x2,x1),sep(lseg(x2,x7),sep(lseg(x2,x10),emp))))))))
| ~ spl0_7
| ~ spl0_2 ),
inference(forward_demodulation,[status(thm)],[f666,f480]) ).
fof(f795,plain,
( heap(sep(lseg(x6,x1),sep(lseg(x7,x6),sep(lseg(x1,x1),sep(lseg(x3,x10),sep(lseg(x2,x1),sep(lseg(x2,x7),sep(lseg(x2,x10),emp))))))))
| ~ spl0_7
| ~ spl0_2 ),
inference(forward_demodulation,[status(thm)],[f666,f794]) ).
fof(f796,plain,
( heap(sep(lseg(x6,x1),sep(lseg(x1,x1),sep(lseg(x7,x6),sep(lseg(x3,x10),sep(lseg(x2,x1),sep(lseg(x2,x7),sep(lseg(x2,x10),emp))))))))
| ~ spl0_7
| ~ spl0_2 ),
inference(forward_demodulation,[status(thm)],[f25,f795]) ).
fof(f797,plain,
( heap(sep(lseg(x1,x1),sep(lseg(x6,x1),sep(lseg(x7,x6),sep(lseg(x3,x10),sep(lseg(x2,x1),sep(lseg(x2,x7),sep(lseg(x2,x10),emp))))))))
| ~ spl0_7
| ~ spl0_2 ),
inference(forward_demodulation,[status(thm)],[f25,f796]) ).
fof(f798,plain,
( heap(sep(lseg(x6,x1),sep(lseg(x7,x6),sep(lseg(x3,x10),sep(lseg(x2,x1),sep(lseg(x2,x7),sep(lseg(x2,x10),emp)))))))
| ~ spl0_7
| ~ spl0_2 ),
inference(forward_demodulation,[status(thm)],[f26,f797]) ).
fof(f799,plain,
( heap(sep(lseg(x6,x1),sep(lseg(x7,x6),sep(lseg(x3,x10),sep(lseg(x1,x1),sep(lseg(x2,x7),sep(lseg(x2,x10),emp)))))))
| ~ spl0_4
| ~ spl0_7
| ~ spl0_2 ),
inference(forward_demodulation,[status(thm)],[f418,f798]) ).
fof(f800,plain,
( heap(sep(lseg(x6,x1),sep(lseg(x7,x6),sep(lseg(x1,x1),sep(lseg(x3,x10),sep(lseg(x2,x7),sep(lseg(x2,x10),emp)))))))
| ~ spl0_4
| ~ spl0_7
| ~ spl0_2 ),
inference(forward_demodulation,[status(thm)],[f25,f799]) ).
fof(f801,plain,
( heap(sep(lseg(x6,x1),sep(lseg(x1,x1),sep(lseg(x7,x6),sep(lseg(x3,x10),sep(lseg(x2,x7),sep(lseg(x2,x10),emp)))))))
| ~ spl0_4
| ~ spl0_7
| ~ spl0_2 ),
inference(forward_demodulation,[status(thm)],[f25,f800]) ).
fof(f802,plain,
( heap(sep(lseg(x1,x1),sep(lseg(x6,x1),sep(lseg(x7,x6),sep(lseg(x3,x10),sep(lseg(x2,x7),sep(lseg(x2,x10),emp)))))))
| ~ spl0_4
| ~ spl0_7
| ~ spl0_2 ),
inference(forward_demodulation,[status(thm)],[f25,f801]) ).
fof(f803,plain,
( heap(sep(lseg(x6,x1),sep(lseg(x7,x6),sep(lseg(x3,x10),sep(lseg(x2,x7),sep(lseg(x2,x10),emp))))))
| ~ spl0_4
| ~ spl0_7
| ~ spl0_2 ),
inference(forward_demodulation,[status(thm)],[f26,f802]) ).
fof(f804,plain,
( heap(sep(lseg(x6,x1),sep(lseg(x7,x6),sep(lseg(x3,x10),sep(lseg(x1,x7),sep(lseg(x2,x10),emp))))))
| ~ spl0_4
| ~ spl0_7
| ~ spl0_2 ),
inference(forward_demodulation,[status(thm)],[f418,f803]) ).
fof(f805,plain,
( heap(sep(lseg(x6,x1),sep(lseg(x7,x6),sep(lseg(x1,x7),sep(lseg(x3,x10),sep(lseg(x2,x10),emp))))))
| ~ spl0_4
| ~ spl0_7
| ~ spl0_2 ),
inference(forward_demodulation,[status(thm)],[f25,f804]) ).
fof(f806,plain,
( heap(sep(lseg(x6,x1),sep(lseg(x1,x7),sep(lseg(x7,x6),sep(lseg(x3,x10),sep(lseg(x2,x10),emp))))))
| ~ spl0_4
| ~ spl0_7
| ~ spl0_2 ),
inference(forward_demodulation,[status(thm)],[f25,f805]) ).
fof(f807,plain,
( heap(sep(lseg(x1,x7),sep(lseg(x6,x1),sep(lseg(x7,x6),sep(lseg(x3,x10),sep(lseg(x2,x10),emp))))))
| ~ spl0_4
| ~ spl0_7
| ~ spl0_2 ),
inference(forward_demodulation,[status(thm)],[f25,f806]) ).
fof(f808,plain,
( heap(sep(lseg(x1,x7),sep(lseg(x6,x1),sep(lseg(x7,x6),sep(lseg(x3,x10),sep(lseg(x1,x10),emp))))))
| ~ spl0_4
| ~ spl0_7
| ~ spl0_2 ),
inference(forward_demodulation,[status(thm)],[f418,f807]) ).
fof(f809,plain,
( heap(sep(lseg(x1,x7),sep(lseg(x6,x1),sep(lseg(x7,x6),sep(lseg(x1,x10),sep(lseg(x3,x10),emp))))))
| ~ spl0_4
| ~ spl0_7
| ~ spl0_2 ),
inference(forward_demodulation,[status(thm)],[f25,f808]) ).
fof(f810,plain,
( heap(sep(lseg(x1,x7),sep(lseg(x6,x1),sep(lseg(x1,x10),sep(lseg(x7,x6),sep(lseg(x3,x10),emp))))))
| ~ spl0_4
| ~ spl0_7
| ~ spl0_2 ),
inference(forward_demodulation,[status(thm)],[f25,f809]) ).
fof(f811,plain,
( heap(sep(lseg(x1,x7),sep(lseg(x1,x10),sep(lseg(x6,x1),sep(lseg(x7,x6),sep(lseg(x3,x10),emp))))))
| ~ spl0_4
| ~ spl0_7
| ~ spl0_2 ),
inference(forward_demodulation,[status(thm)],[f25,f810]) ).
fof(f812,plain,
( x1 = x7
| x1 = x10
| ~ spl0_4
| ~ spl0_7
| ~ spl0_2 ),
inference(resolution,[status(thm)],[f811,f34]) ).
fof(f813,plain,
( spl0_11
| spl0_12
| ~ spl0_4
| ~ spl0_7
| ~ spl0_2 ),
inference(split_clause,[status(thm)],[f812,f765,f768,f417,f665,f395]) ).
fof(f814,plain,
$false,
inference(sat_refutation,[status(thm)],[f402,f421,f538,f672,f744,f746,f772,f774,f789,f791,f813]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWW425-1 : TPTP v8.1.2. Released v5.2.0.
% 0.07/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34 % Computer : n013.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 : Tue May 30 10:51:20 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.13/0.35 % Drodi V3.5.1
% 0.13/0.37 % Refutation found
% 0.13/0.37 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.13/0.37 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.13/0.38 % Elapsed time: 0.039720 seconds
% 0.13/0.38 % CPU time: 0.164870 seconds
% 0.13/0.38 % Memory used: 17.772 MB
%------------------------------------------------------------------------------