TSTP Solution File: GEO067-2 by Drodi---3.6.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : GEO067-2 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n026.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 20:17:00 EDT 2024
% Result : Unsatisfiable 0.08s 0.27s
% Output : CNFRefutation 0.08s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 13
% Syntax : Number of formulae : 46 ( 15 unt; 0 def)
% Number of atoms : 91 ( 8 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 84 ( 39 ~; 40 |; 0 &)
% ( 5 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 10 ( 8 usr; 6 prp; 0-4 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-4 aty)
% Number of variables : 64 ( 64 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
! [X,Y,Z] :
( ~ equidistant(X,Y,Z,Z)
| X = Y ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f4,axiom,
! [X,Y,W,V] : between(X,Y,extension(X,Y,W,V)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f5,axiom,
! [Y,X,W,V] : equidistant(Y,extension(X,Y,W,V),W,V),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f19,axiom,
! [X,Y,Z] :
( ~ between(X,Y,Z)
| colinear(X,Y,Z) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f20,axiom,
! [Y,Z,X] :
( ~ between(Y,Z,X)
| colinear(X,Y,Z) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f21,axiom,
! [Z,X,Y] :
( ~ between(Z,X,Y)
| colinear(X,Y,Z) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f23,negated_conjecture,
( ~ colinear(x,x,y)
| ~ colinear(x,y,x)
| ~ colinear(y,x,x)
| x = y ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f24,negated_conjecture,
( ~ colinear(x,x,y)
| ~ colinear(x,y,x)
| ~ colinear(y,x,x)
| ~ colinear(x,z,y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f28,plain,
! [X,Y] :
( ! [Z] : ~ equidistant(X,Y,Z,Z)
| X = Y ),
inference(miniscoping,[status(esa)],[f3]) ).
fof(f29,plain,
! [X0,X1,X2] :
( ~ equidistant(X0,X1,X2,X2)
| X0 = X1 ),
inference(cnf_transformation,[status(esa)],[f28]) ).
fof(f30,plain,
! [X0,X1,X2,X3] : between(X0,X1,extension(X0,X1,X2,X3)),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f31,plain,
! [X0,X1,X2,X3] : equidistant(X0,extension(X1,X0,X2,X3),X2,X3),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f47,plain,
! [X0,X1,X2] :
( ~ between(X0,X1,X2)
| colinear(X0,X1,X2) ),
inference(cnf_transformation,[status(esa)],[f19]) ).
fof(f48,plain,
! [X0,X1,X2] :
( ~ between(X0,X1,X2)
| colinear(X2,X0,X1) ),
inference(cnf_transformation,[status(esa)],[f20]) ).
fof(f49,plain,
! [X0,X1,X2] :
( ~ between(X0,X1,X2)
| colinear(X1,X2,X0) ),
inference(cnf_transformation,[status(esa)],[f21]) ).
fof(f51,plain,
( ~ colinear(x,x,y)
| ~ colinear(x,y,x)
| ~ colinear(y,x,x)
| x = y ),
inference(cnf_transformation,[status(esa)],[f23]) ).
fof(f52,plain,
( ~ colinear(x,x,y)
| ~ colinear(x,y,x)
| ~ colinear(y,x,x)
| ~ colinear(x,z,y) ),
inference(cnf_transformation,[status(esa)],[f24]) ).
fof(f53,plain,
( spl0_0
<=> colinear(x,x,y) ),
introduced(split_symbol_definition) ).
fof(f55,plain,
( ~ colinear(x,x,y)
| spl0_0 ),
inference(component_clause,[status(thm)],[f53]) ).
fof(f56,plain,
( spl0_1
<=> colinear(x,y,x) ),
introduced(split_symbol_definition) ).
fof(f58,plain,
( ~ colinear(x,y,x)
| spl0_1 ),
inference(component_clause,[status(thm)],[f56]) ).
fof(f59,plain,
( spl0_2
<=> colinear(y,x,x) ),
introduced(split_symbol_definition) ).
fof(f61,plain,
( ~ colinear(y,x,x)
| spl0_2 ),
inference(component_clause,[status(thm)],[f59]) ).
fof(f62,plain,
( spl0_3
<=> x = y ),
introduced(split_symbol_definition) ).
fof(f63,plain,
( x = y
| ~ spl0_3 ),
inference(component_clause,[status(thm)],[f62]) ).
fof(f65,plain,
( ~ spl0_0
| ~ spl0_1
| ~ spl0_2
| spl0_3 ),
inference(split_clause,[status(thm)],[f51,f53,f56,f59,f62]) ).
fof(f66,plain,
( spl0_4
<=> colinear(x,z,y) ),
introduced(split_symbol_definition) ).
fof(f68,plain,
( ~ colinear(x,z,y)
| spl0_4 ),
inference(component_clause,[status(thm)],[f66]) ).
fof(f69,plain,
( ~ spl0_0
| ~ spl0_1
| ~ spl0_2
| ~ spl0_4 ),
inference(split_clause,[status(thm)],[f52,f53,f56,f59,f66]) ).
fof(f70,plain,
! [X0,X1,X2,X3] : colinear(X0,extension(X1,X0,X2,X3),X1),
inference(resolution,[status(thm)],[f30,f49]) ).
fof(f71,plain,
! [X0,X1,X2,X3] : colinear(extension(X0,X1,X2,X3),X0,X1),
inference(resolution,[status(thm)],[f30,f48]) ).
fof(f72,plain,
! [X0,X1,X2,X3] : colinear(X0,X1,extension(X0,X1,X2,X3)),
inference(resolution,[status(thm)],[f30,f47]) ).
fof(f76,plain,
! [X0,X1,X2] : X0 = extension(X1,X0,X2,X2),
inference(resolution,[status(thm)],[f31,f29]) ).
fof(f78,plain,
! [X0,X1] : colinear(X0,X1,X1),
inference(paramodulation,[status(thm)],[f76,f72]) ).
fof(f79,plain,
! [X0,X1] : colinear(X0,X1,X0),
inference(paramodulation,[status(thm)],[f76,f71]) ).
fof(f80,plain,
! [X0,X1] : colinear(X0,X0,X1),
inference(paramodulation,[status(thm)],[f76,f70]) ).
fof(f82,plain,
( $false
| spl0_2 ),
inference(backward_subsumption_resolution,[status(thm)],[f61,f78]) ).
fof(f83,plain,
spl0_2,
inference(contradiction_clause,[status(thm)],[f82]) ).
fof(f85,plain,
( $false
| spl0_1 ),
inference(backward_subsumption_resolution,[status(thm)],[f58,f79]) ).
fof(f86,plain,
spl0_1,
inference(contradiction_clause,[status(thm)],[f85]) ).
fof(f88,plain,
( $false
| spl0_0 ),
inference(backward_subsumption_resolution,[status(thm)],[f55,f80]) ).
fof(f89,plain,
spl0_0,
inference(contradiction_clause,[status(thm)],[f88]) ).
fof(f91,plain,
( ~ colinear(x,z,x)
| ~ spl0_3
| spl0_4 ),
inference(forward_demodulation,[status(thm)],[f63,f68]) ).
fof(f92,plain,
( $false
| ~ spl0_3
| spl0_4 ),
inference(forward_subsumption_resolution,[status(thm)],[f91,f79]) ).
fof(f93,plain,
( ~ spl0_3
| spl0_4 ),
inference(contradiction_clause,[status(thm)],[f92]) ).
fof(f94,plain,
$false,
inference(sat_refutation,[status(thm)],[f65,f69,f83,f86,f89,f93]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.07 % Problem : GEO067-2 : TPTP v8.1.2. Released v1.0.0.
% 0.04/0.07 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.08/0.26 % Computer : n026.cluster.edu
% 0.08/0.26 % Model : x86_64 x86_64
% 0.08/0.26 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.26 % Memory : 8042.1875MB
% 0.08/0.26 % OS : Linux 3.10.0-693.el7.x86_64
% 0.08/0.26 % CPULimit : 300
% 0.08/0.26 % WCLimit : 300
% 0.08/0.26 % DateTime : Tue Apr 30 01:58:49 EDT 2024
% 0.08/0.26 % CPUTime :
% 0.08/0.27 % Drodi V3.6.0
% 0.08/0.27 % Refutation found
% 0.08/0.27 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.08/0.27 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.08/0.29 % Elapsed time: 0.019027 seconds
% 0.08/0.29 % CPU time: 0.036743 seconds
% 0.08/0.29 % Total memory used: 11.184 MB
% 0.08/0.29 % Net memory used: 11.130 MB
%------------------------------------------------------------------------------