TSTP Solution File: SYN567-1 by Drodi---3.5.1
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%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : SYN567-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n027.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 12:47:08 EDT 2023
% Result : Unsatisfiable 0.13s 0.35s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 11
% Syntax : Number of formulae : 34 ( 15 unt; 0 def)
% Number of atoms : 63 ( 0 equ)
% Maximal formula atoms : 5 ( 1 avg)
% Number of connectives : 54 ( 25 ~; 25 |; 0 &)
% ( 4 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 7 ( 6 usr; 5 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 2 con; 0-1 aty)
% Number of variables : 8 (; 8 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3,negated_conjecture,
! [X17] : p5(f8(f6(X17)),X17),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4,negated_conjecture,
~ p2(f6(c9),f3(f4(c10))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f5,negated_conjecture,
~ p2(f6(c9),f3(f7(f4(c10)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f6,negated_conjecture,
~ p2(f6(c9),f3(f7(f7(f4(c10))))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f10,negated_conjecture,
! [X8,X9] :
( p2(f6(X8),f6(X9))
| ~ p5(X8,X9) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f12,negated_conjecture,
~ p2(f6(c9),f3(f7(f7(f7(f4(c10)))))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f19,negated_conjecture,
! [X3] :
( p2(X3,f3(f4(c10)))
| p2(X3,f3(f7(f4(c10))))
| p2(X3,f3(f7(f7(f4(c10)))))
| p2(X3,f3(f7(f7(f7(f4(c10))))))
| ~ p2(f6(f8(X3)),X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f22,plain,
! [X0] : p5(f8(f6(X0)),X0),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f23,plain,
~ p2(f6(c9),f3(f4(c10))),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f24,plain,
~ p2(f6(c9),f3(f7(f4(c10)))),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f25,plain,
~ p2(f6(c9),f3(f7(f7(f4(c10))))),
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f29,plain,
! [X0,X1] :
( p2(f6(X0),f6(X1))
| ~ p5(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f10]) ).
fof(f31,plain,
~ p2(f6(c9),f3(f7(f7(f7(f4(c10)))))),
inference(cnf_transformation,[status(esa)],[f12]) ).
fof(f40,plain,
! [X0] :
( p2(X0,f3(f4(c10)))
| p2(X0,f3(f7(f4(c10))))
| p2(X0,f3(f7(f7(f4(c10)))))
| p2(X0,f3(f7(f7(f7(f4(c10))))))
| ~ p2(f6(f8(X0)),X0) ),
inference(cnf_transformation,[status(esa)],[f19]) ).
fof(f124,plain,
( spl0_10
<=> p2(f6(c9),f3(f4(c10))) ),
introduced(split_symbol_definition) ).
fof(f125,plain,
( p2(f6(c9),f3(f4(c10)))
| ~ spl0_10 ),
inference(component_clause,[status(thm)],[f124]) ).
fof(f127,plain,
( spl0_11
<=> p2(f6(c9),f3(f7(f4(c10)))) ),
introduced(split_symbol_definition) ).
fof(f128,plain,
( p2(f6(c9),f3(f7(f4(c10))))
| ~ spl0_11 ),
inference(component_clause,[status(thm)],[f127]) ).
fof(f130,plain,
( spl0_12
<=> p2(f6(c9),f3(f7(f7(f4(c10))))) ),
introduced(split_symbol_definition) ).
fof(f131,plain,
( p2(f6(c9),f3(f7(f7(f4(c10)))))
| ~ spl0_12 ),
inference(component_clause,[status(thm)],[f130]) ).
fof(f133,plain,
( spl0_13
<=> p2(f6(f8(f6(c9))),f6(c9)) ),
introduced(split_symbol_definition) ).
fof(f135,plain,
( ~ p2(f6(f8(f6(c9))),f6(c9))
| spl0_13 ),
inference(component_clause,[status(thm)],[f133]) ).
fof(f136,plain,
( p2(f6(c9),f3(f4(c10)))
| p2(f6(c9),f3(f7(f4(c10))))
| p2(f6(c9),f3(f7(f7(f4(c10)))))
| ~ p2(f6(f8(f6(c9))),f6(c9)) ),
inference(resolution,[status(thm)],[f40,f31]) ).
fof(f137,plain,
( spl0_10
| spl0_11
| spl0_12
| ~ spl0_13 ),
inference(split_clause,[status(thm)],[f136,f124,f127,f130,f133]) ).
fof(f143,plain,
( ~ p5(f8(f6(c9)),c9)
| spl0_13 ),
inference(resolution,[status(thm)],[f135,f29]) ).
fof(f144,plain,
( $false
| spl0_13 ),
inference(forward_subsumption_resolution,[status(thm)],[f143,f22]) ).
fof(f145,plain,
spl0_13,
inference(contradiction_clause,[status(thm)],[f144]) ).
fof(f146,plain,
( $false
| ~ spl0_12 ),
inference(forward_subsumption_resolution,[status(thm)],[f131,f25]) ).
fof(f147,plain,
~ spl0_12,
inference(contradiction_clause,[status(thm)],[f146]) ).
fof(f148,plain,
( $false
| ~ spl0_10 ),
inference(forward_subsumption_resolution,[status(thm)],[f125,f23]) ).
fof(f149,plain,
~ spl0_10,
inference(contradiction_clause,[status(thm)],[f148]) ).
fof(f150,plain,
( $false
| ~ spl0_11 ),
inference(forward_subsumption_resolution,[status(thm)],[f128,f24]) ).
fof(f151,plain,
~ spl0_11,
inference(contradiction_clause,[status(thm)],[f150]) ).
fof(f152,plain,
$false,
inference(sat_refutation,[status(thm)],[f137,f145,f147,f149,f151]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SYN567-1 : TPTP v8.1.2. Released v2.5.0.
% 0.03/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34 % Computer : n027.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 10:41:48 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.13/0.34 % Drodi V3.5.1
% 0.13/0.35 % Refutation found
% 0.13/0.35 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.13/0.35 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.20/0.36 % Elapsed time: 0.022214 seconds
% 0.20/0.36 % CPU time: 0.069218 seconds
% 0.20/0.36 % Memory used: 2.503 MB
%------------------------------------------------------------------------------