TSTP Solution File: SYN642-1 by Drodi---3.5.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : SYN642-1 : TPTP v8.1.2. Released v2.5.0.
% 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 : Wed May 31 12:47:17 EDT 2023
% Result : Unsatisfiable 0.06s 0.30s
% Output : CNFRefutation 0.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 14
% Syntax : Number of formulae : 47 ( 17 unt; 0 def)
% Number of atoms : 91 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 86 ( 42 ~; 39 |; 0 &)
% ( 5 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 8 ( 7 usr; 6 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 2 con; 0-2 aty)
% Number of variables : 33 (; 33 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
p15(f3(c19)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,negated_conjecture,
p15(f3(c18)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f4,negated_conjecture,
! [X45] : p6(X45,X45),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f9,negated_conjecture,
p6(f8(f3(c19)),f8(c19)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f14,negated_conjecture,
p6(f8(f3(c18)),f8(c18)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f23,negated_conjecture,
! [X46,X47,X45] :
( p6(X46,X47)
| ~ p6(X45,X46)
| ~ p6(X45,X47) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f28,negated_conjecture,
~ p6(f8(f10(f3(c19),f3(c18))),f9(f8(c19),f8(c18))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f33,negated_conjecture,
! [X52,X53,X54,X55] :
( p6(f9(X52,X53),f9(X54,X55))
| ~ p6(X53,X55)
| ~ p6(X52,X54) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f36,negated_conjecture,
! [X14,X15] :
( p6(f8(f10(X14,X15)),f9(f8(X14),f8(X15)))
| ~ p15(X14)
| ~ p15(X15) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f43,plain,
p15(f3(c19)),
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f44,plain,
p15(f3(c18)),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f46,plain,
! [X0] : p6(X0,X0),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f51,plain,
p6(f8(f3(c19)),f8(c19)),
inference(cnf_transformation,[status(esa)],[f9]) ).
fof(f56,plain,
p6(f8(f3(c18)),f8(c18)),
inference(cnf_transformation,[status(esa)],[f14]) ).
fof(f67,plain,
! [X47,X45] :
( ! [X46] :
( p6(X46,X47)
| ~ p6(X45,X46) )
| ~ p6(X45,X47) ),
inference(miniscoping,[status(esa)],[f23]) ).
fof(f68,plain,
! [X0,X1,X2] :
( p6(X0,X1)
| ~ p6(X2,X0)
| ~ p6(X2,X1) ),
inference(cnf_transformation,[status(esa)],[f67]) ).
fof(f77,plain,
~ p6(f8(f10(f3(c19),f3(c18))),f9(f8(c19),f8(c18))),
inference(cnf_transformation,[status(esa)],[f28]) ).
fof(f82,plain,
! [X52,X54] :
( ! [X53,X55] :
( p6(f9(X52,X53),f9(X54,X55))
| ~ p6(X53,X55) )
| ~ p6(X52,X54) ),
inference(miniscoping,[status(esa)],[f33]) ).
fof(f83,plain,
! [X0,X1,X2,X3] :
( p6(f9(X0,X1),f9(X2,X3))
| ~ p6(X1,X3)
| ~ p6(X0,X2) ),
inference(cnf_transformation,[status(esa)],[f82]) ).
fof(f88,plain,
! [X15] :
( ! [X14] :
( p6(f8(f10(X14,X15)),f9(f8(X14),f8(X15)))
| ~ p15(X14) )
| ~ p15(X15) ),
inference(miniscoping,[status(esa)],[f36]) ).
fof(f89,plain,
! [X0,X1] :
( p6(f8(f10(X0,X1)),f9(f8(X0),f8(X1)))
| ~ p15(X0)
| ~ p15(X1) ),
inference(cnf_transformation,[status(esa)],[f88]) ).
fof(f116,plain,
! [X0] :
( ~ p6(X0,f8(f10(f3(c19),f3(c18))))
| ~ p6(X0,f9(f8(c19),f8(c18))) ),
inference(resolution,[status(thm)],[f77,f68]) ).
fof(f280,plain,
! [X0,X1] :
( ~ p6(X0,f9(f8(c19),f8(c18)))
| ~ p6(X1,X0)
| ~ p6(X1,f8(f10(f3(c19),f3(c18)))) ),
inference(resolution,[status(thm)],[f116,f68]) ).
fof(f333,plain,
! [X0] :
( ~ p6(X0,f9(f8(c19),f8(c18)))
| ~ p6(f8(f10(f3(c19),f3(c18))),X0) ),
inference(resolution,[status(thm)],[f280,f46]) ).
fof(f473,plain,
( spl0_3
<=> p6(f9(f8(f3(c19)),f8(f3(c18))),f9(f8(c19),f8(c18))) ),
introduced(split_symbol_definition) ).
fof(f475,plain,
( ~ p6(f9(f8(f3(c19)),f8(f3(c18))),f9(f8(c19),f8(c18)))
| spl0_3 ),
inference(component_clause,[status(thm)],[f473]) ).
fof(f476,plain,
( spl0_4
<=> p15(f3(c19)) ),
introduced(split_symbol_definition) ).
fof(f478,plain,
( ~ p15(f3(c19))
| spl0_4 ),
inference(component_clause,[status(thm)],[f476]) ).
fof(f479,plain,
( spl0_5
<=> p15(f3(c18)) ),
introduced(split_symbol_definition) ).
fof(f481,plain,
( ~ p15(f3(c18))
| spl0_5 ),
inference(component_clause,[status(thm)],[f479]) ).
fof(f482,plain,
( ~ p6(f9(f8(f3(c19)),f8(f3(c18))),f9(f8(c19),f8(c18)))
| ~ p15(f3(c19))
| ~ p15(f3(c18)) ),
inference(resolution,[status(thm)],[f333,f89]) ).
fof(f483,plain,
( ~ spl0_3
| ~ spl0_4
| ~ spl0_5 ),
inference(split_clause,[status(thm)],[f482,f473,f476,f479]) ).
fof(f487,plain,
( $false
| spl0_5 ),
inference(forward_subsumption_resolution,[status(thm)],[f481,f44]) ).
fof(f488,plain,
spl0_5,
inference(contradiction_clause,[status(thm)],[f487]) ).
fof(f489,plain,
( $false
| spl0_4 ),
inference(forward_subsumption_resolution,[status(thm)],[f478,f43]) ).
fof(f490,plain,
spl0_4,
inference(contradiction_clause,[status(thm)],[f489]) ).
fof(f491,plain,
( spl0_6
<=> p6(f8(f3(c18)),f8(c18)) ),
introduced(split_symbol_definition) ).
fof(f493,plain,
( ~ p6(f8(f3(c18)),f8(c18))
| spl0_6 ),
inference(component_clause,[status(thm)],[f491]) ).
fof(f494,plain,
( spl0_7
<=> p6(f8(f3(c19)),f8(c19)) ),
introduced(split_symbol_definition) ).
fof(f496,plain,
( ~ p6(f8(f3(c19)),f8(c19))
| spl0_7 ),
inference(component_clause,[status(thm)],[f494]) ).
fof(f497,plain,
( ~ p6(f8(f3(c18)),f8(c18))
| ~ p6(f8(f3(c19)),f8(c19))
| spl0_3 ),
inference(resolution,[status(thm)],[f475,f83]) ).
fof(f498,plain,
( ~ spl0_6
| ~ spl0_7
| spl0_3 ),
inference(split_clause,[status(thm)],[f497,f491,f494,f473]) ).
fof(f500,plain,
( $false
| spl0_6 ),
inference(forward_subsumption_resolution,[status(thm)],[f493,f56]) ).
fof(f501,plain,
spl0_6,
inference(contradiction_clause,[status(thm)],[f500]) ).
fof(f502,plain,
( $false
| spl0_7 ),
inference(forward_subsumption_resolution,[status(thm)],[f496,f51]) ).
fof(f503,plain,
spl0_7,
inference(contradiction_clause,[status(thm)],[f502]) ).
fof(f504,plain,
$false,
inference(sat_refutation,[status(thm)],[f483,f488,f490,f498,f501,f503]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.07 % Problem : SYN642-1 : TPTP v8.1.2. Released v2.5.0.
% 0.00/0.07 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.06/0.26 % Computer : n026.cluster.edu
% 0.06/0.26 % Model : x86_64 x86_64
% 0.06/0.26 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.26 % Memory : 8042.1875MB
% 0.06/0.26 % OS : Linux 3.10.0-693.el7.x86_64
% 0.06/0.26 % CPULimit : 300
% 0.06/0.26 % WCLimit : 300
% 0.06/0.26 % DateTime : Tue May 30 10:42:43 EDT 2023
% 0.06/0.26 % CPUTime :
% 0.06/0.26 % Drodi V3.5.1
% 0.06/0.30 % Refutation found
% 0.06/0.30 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.06/0.30 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.11/0.31 % Elapsed time: 0.049671 seconds
% 0.11/0.31 % CPU time: 0.325615 seconds
% 0.11/0.31 % Memory used: 6.911 MB
%------------------------------------------------------------------------------