TSTP Solution File: SYN641-1 by Drodi---3.5.1
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%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : SYN641-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n007.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 0.11s 0.41s
% 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/sandbox2/benchmark/theBenchmark.p') ).
fof(f2,negated_conjecture,
p15(f3(c18)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4,negated_conjecture,
! [X45] : p6(X45,X45),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f12,negated_conjecture,
p6(f7(f3(c18)),f7(c18)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f13,negated_conjecture,
p6(f7(f3(c19)),f7(c19)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f23,negated_conjecture,
! [X46,X47,X45] :
( p6(X46,X47)
| ~ p6(X45,X46)
| ~ p6(X45,X47) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f28,negated_conjecture,
~ p6(f7(f10(f3(c19),f3(c18))),f9(f7(c19),f7(c18))),
file('/export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p') ).
fof(f38,negated_conjecture,
! [X14,X15] :
( p6(f7(f10(X14,X15)),f9(f7(X14),f7(X15)))
| ~ p15(X14)
| ~ p15(X15) ),
file('/export/starexec/sandbox2/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(f54,plain,
p6(f7(f3(c18)),f7(c18)),
inference(cnf_transformation,[status(esa)],[f12]) ).
fof(f55,plain,
p6(f7(f3(c19)),f7(c19)),
inference(cnf_transformation,[status(esa)],[f13]) ).
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(f7(f10(f3(c19),f3(c18))),f9(f7(c19),f7(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(f92,plain,
! [X15] :
( ! [X14] :
( p6(f7(f10(X14,X15)),f9(f7(X14),f7(X15)))
| ~ p15(X14) )
| ~ p15(X15) ),
inference(miniscoping,[status(esa)],[f38]) ).
fof(f93,plain,
! [X0,X1] :
( p6(f7(f10(X0,X1)),f9(f7(X0),f7(X1)))
| ~ p15(X0)
| ~ p15(X1) ),
inference(cnf_transformation,[status(esa)],[f92]) ).
fof(f101,plain,
! [X0] :
( ~ p6(X0,f7(f10(f3(c19),f3(c18))))
| ~ p6(X0,f9(f7(c19),f7(c18))) ),
inference(resolution,[status(thm)],[f77,f68]) ).
fof(f103,plain,
! [X0,X1] :
( ~ p6(X0,f9(f7(c19),f7(c18)))
| ~ p6(X1,X0)
| ~ p6(X1,f7(f10(f3(c19),f3(c18)))) ),
inference(resolution,[status(thm)],[f101,f68]) ).
fof(f174,plain,
! [X0] :
( ~ p6(X0,f9(f7(c19),f7(c18)))
| ~ p6(f7(f10(f3(c19),f3(c18))),X0) ),
inference(resolution,[status(thm)],[f103,f46]) ).
fof(f175,plain,
( spl0_3
<=> p6(f9(f7(f3(c19)),f7(f3(c18))),f9(f7(c19),f7(c18))) ),
introduced(split_symbol_definition) ).
fof(f177,plain,
( ~ p6(f9(f7(f3(c19)),f7(f3(c18))),f9(f7(c19),f7(c18)))
| spl0_3 ),
inference(component_clause,[status(thm)],[f175]) ).
fof(f178,plain,
( spl0_4
<=> p15(f3(c19)) ),
introduced(split_symbol_definition) ).
fof(f180,plain,
( ~ p15(f3(c19))
| spl0_4 ),
inference(component_clause,[status(thm)],[f178]) ).
fof(f181,plain,
( spl0_5
<=> p15(f3(c18)) ),
introduced(split_symbol_definition) ).
fof(f183,plain,
( ~ p15(f3(c18))
| spl0_5 ),
inference(component_clause,[status(thm)],[f181]) ).
fof(f184,plain,
( ~ p6(f9(f7(f3(c19)),f7(f3(c18))),f9(f7(c19),f7(c18)))
| ~ p15(f3(c19))
| ~ p15(f3(c18)) ),
inference(resolution,[status(thm)],[f174,f93]) ).
fof(f185,plain,
( ~ spl0_3
| ~ spl0_4
| ~ spl0_5 ),
inference(split_clause,[status(thm)],[f184,f175,f178,f181]) ).
fof(f189,plain,
( $false
| spl0_5 ),
inference(forward_subsumption_resolution,[status(thm)],[f183,f44]) ).
fof(f190,plain,
spl0_5,
inference(contradiction_clause,[status(thm)],[f189]) ).
fof(f191,plain,
( $false
| spl0_4 ),
inference(forward_subsumption_resolution,[status(thm)],[f180,f43]) ).
fof(f192,plain,
spl0_4,
inference(contradiction_clause,[status(thm)],[f191]) ).
fof(f329,plain,
( spl0_12
<=> p6(f7(f3(c18)),f7(c18)) ),
introduced(split_symbol_definition) ).
fof(f331,plain,
( ~ p6(f7(f3(c18)),f7(c18))
| spl0_12 ),
inference(component_clause,[status(thm)],[f329]) ).
fof(f332,plain,
( spl0_13
<=> p6(f7(f3(c19)),f7(c19)) ),
introduced(split_symbol_definition) ).
fof(f334,plain,
( ~ p6(f7(f3(c19)),f7(c19))
| spl0_13 ),
inference(component_clause,[status(thm)],[f332]) ).
fof(f335,plain,
( ~ p6(f7(f3(c18)),f7(c18))
| ~ p6(f7(f3(c19)),f7(c19))
| spl0_3 ),
inference(resolution,[status(thm)],[f177,f83]) ).
fof(f336,plain,
( ~ spl0_12
| ~ spl0_13
| spl0_3 ),
inference(split_clause,[status(thm)],[f335,f329,f332,f175]) ).
fof(f338,plain,
( $false
| spl0_12 ),
inference(forward_subsumption_resolution,[status(thm)],[f331,f54]) ).
fof(f339,plain,
spl0_12,
inference(contradiction_clause,[status(thm)],[f338]) ).
fof(f340,plain,
( $false
| spl0_13 ),
inference(forward_subsumption_resolution,[status(thm)],[f334,f55]) ).
fof(f341,plain,
spl0_13,
inference(contradiction_clause,[status(thm)],[f340]) ).
fof(f342,plain,
$false,
inference(sat_refutation,[status(thm)],[f185,f190,f192,f336,f339,f341]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.08 % Problem : SYN641-1 : TPTP v8.1.2. Released v2.5.0.
% 0.00/0.08 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.06/0.26 % Computer : n007.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 10:12:16 EDT 2023
% 0.06/0.27 % CPUTime :
% 0.06/0.27 % Drodi V3.5.1
% 0.11/0.41 % Refutation found
% 0.11/0.41 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.11/0.41 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.11/0.43 % Elapsed time: 0.155063 seconds
% 0.11/0.43 % CPU time: 0.820391 seconds
% 0.11/0.43 % Memory used: 14.976 MB
%------------------------------------------------------------------------------