TSTP Solution File: SYN684-1 by Drodi---3.5.1
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%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : SYN684-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n005.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 12:47:23 EDT 2023
% Result : Unsatisfiable 0.13s 0.34s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 10
% Syntax : Number of formulae : 35 ( 13 unt; 0 def)
% Number of atoms : 67 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 70 ( 38 ~; 30 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 5 ( 4 usr; 3 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 5 con; 0-2 aty)
% Number of variables : 38 (; 38 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f7,negated_conjecture,
! [X28] : p2(X28,X28),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f11,negated_conjecture,
p25(c33,c36),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f12,negated_conjecture,
p25(c32,c33),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f19,negated_conjecture,
! [X96] : ~ p2(X96,f18(X96,f9(f17(c31)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f31,negated_conjecture,
! [X29,X30,X28] :
( p2(X29,X30)
| ~ p2(X28,X29)
| ~ p2(X28,X30) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f39,negated_conjecture,
p2(f11(f4(c32),c34),f18(f11(f4(c33),c34),f9(f17(c31)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f49,negated_conjecture,
! [X43,X44,X45,X46] :
( p2(f18(X43,X44),f18(X45,X46))
| ~ p2(X43,X45)
| ~ p2(X44,X46) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f51,negated_conjecture,
! [X36] :
( p2(f11(f4(X36),c34),f11(f4(c32),c34))
| ~ p25(X36,c36)
| ~ p25(c32,X36) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f62,plain,
! [X0] : p2(X0,X0),
inference(cnf_transformation,[status(esa)],[f7]) ).
fof(f66,plain,
p25(c33,c36),
inference(cnf_transformation,[status(esa)],[f11]) ).
fof(f67,plain,
p25(c32,c33),
inference(cnf_transformation,[status(esa)],[f12]) ).
fof(f74,plain,
! [X0] : ~ p2(X0,f18(X0,f9(f17(c31)))),
inference(cnf_transformation,[status(esa)],[f19]) ).
fof(f91,plain,
! [X30,X28] :
( ! [X29] :
( p2(X29,X30)
| ~ p2(X28,X29) )
| ~ p2(X28,X30) ),
inference(miniscoping,[status(esa)],[f31]) ).
fof(f92,plain,
! [X0,X1,X2] :
( p2(X0,X1)
| ~ p2(X2,X0)
| ~ p2(X2,X1) ),
inference(cnf_transformation,[status(esa)],[f91]) ).
fof(f107,plain,
p2(f11(f4(c32),c34),f18(f11(f4(c33),c34),f9(f17(c31)))),
inference(cnf_transformation,[status(esa)],[f39]) ).
fof(f122,plain,
! [X44,X46] :
( ! [X43,X45] :
( p2(f18(X43,X44),f18(X45,X46))
| ~ p2(X43,X45) )
| ~ p2(X44,X46) ),
inference(miniscoping,[status(esa)],[f49]) ).
fof(f123,plain,
! [X0,X1,X2,X3] :
( p2(f18(X0,X1),f18(X2,X3))
| ~ p2(X0,X2)
| ~ p2(X1,X3) ),
inference(cnf_transformation,[status(esa)],[f122]) ).
fof(f125,plain,
! [X0] :
( p2(f11(f4(X0),c34),f11(f4(c32),c34))
| ~ p25(X0,c36)
| ~ p25(c32,X0) ),
inference(cnf_transformation,[status(esa)],[f51]) ).
fof(f135,plain,
! [X0,X1] :
( ~ p2(X0,X1)
| ~ p2(X0,f18(X1,f9(f17(c31)))) ),
inference(resolution,[status(thm)],[f92,f74]) ).
fof(f145,plain,
! [X0,X1,X2] :
( ~ p2(X0,X1)
| ~ p2(X2,f9(f17(c31)))
| ~ p2(f18(X0,X2),X1) ),
inference(resolution,[status(thm)],[f123,f135]) ).
fof(f215,plain,
! [X0,X1] :
( ~ p2(X0,X1)
| ~ p2(f18(X0,f9(f17(c31))),X1) ),
inference(resolution,[status(thm)],[f145,f62]) ).
fof(f217,plain,
! [X0,X1,X2] :
( ~ p2(X0,X1)
| ~ p2(X2,f18(X0,f9(f17(c31))))
| ~ p2(X2,X1) ),
inference(resolution,[status(thm)],[f215,f92]) ).
fof(f245,plain,
! [X0] :
( ~ p2(f11(f4(c33),c34),X0)
| ~ p2(f11(f4(c32),c34),X0) ),
inference(resolution,[status(thm)],[f217,f107]) ).
fof(f319,plain,
( spl0_8
<=> p2(f11(f4(c33),c34),f11(f4(c32),c34)) ),
introduced(split_symbol_definition) ).
fof(f320,plain,
( p2(f11(f4(c33),c34),f11(f4(c32),c34))
| ~ spl0_8 ),
inference(component_clause,[status(thm)],[f319]) ).
fof(f322,plain,
( spl0_9
<=> p25(c33,c36) ),
introduced(split_symbol_definition) ).
fof(f324,plain,
( ~ p25(c33,c36)
| spl0_9 ),
inference(component_clause,[status(thm)],[f322]) ).
fof(f325,plain,
( p2(f11(f4(c33),c34),f11(f4(c32),c34))
| ~ p25(c33,c36) ),
inference(resolution,[status(thm)],[f125,f67]) ).
fof(f326,plain,
( spl0_8
| ~ spl0_9 ),
inference(split_clause,[status(thm)],[f325,f319,f322]) ).
fof(f328,plain,
( $false
| spl0_9 ),
inference(forward_subsumption_resolution,[status(thm)],[f324,f66]) ).
fof(f329,plain,
spl0_9,
inference(contradiction_clause,[status(thm)],[f328]) ).
fof(f357,plain,
( ~ p2(f11(f4(c32),c34),f11(f4(c32),c34))
| ~ spl0_8 ),
inference(resolution,[status(thm)],[f320,f245]) ).
fof(f358,plain,
( $false
| ~ spl0_8 ),
inference(forward_subsumption_resolution,[status(thm)],[f357,f62]) ).
fof(f359,plain,
~ spl0_8,
inference(contradiction_clause,[status(thm)],[f358]) ).
fof(f360,plain,
$false,
inference(sat_refutation,[status(thm)],[f326,f329,f359]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.09 % Problem : SYN684-1 : TPTP v8.1.2. Released v2.5.0.
% 0.07/0.09 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.08/0.29 % Computer : n005.cluster.edu
% 0.08/0.29 % Model : x86_64 x86_64
% 0.08/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.29 % Memory : 8042.1875MB
% 0.08/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.08/0.29 % CPULimit : 300
% 0.08/0.29 % WCLimit : 300
% 0.08/0.29 % DateTime : Tue May 30 10:24:21 EDT 2023
% 0.08/0.29 % CPUTime :
% 0.08/0.30 % Drodi V3.5.1
% 0.13/0.34 % Refutation found
% 0.13/0.34 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.13/0.34 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.28/0.57 % Elapsed time: 0.062393 seconds
% 0.28/0.57 % CPU time: 0.118412 seconds
% 0.28/0.57 % Memory used: 4.372 MB
%------------------------------------------------------------------------------