TSTP Solution File: PUZ009-1 by Drodi---3.5.1
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%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : PUZ009-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n020.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 12:31:45 EDT 2023
% Result : Unsatisfiable 0.13s 0.35s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 11
% Syntax : Number of formulae : 26 ( 4 unt; 0 def)
% Number of atoms : 54 ( 0 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 47 ( 19 ~; 23 |; 0 &)
% ( 5 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 0 ( 0 avg)
% Number of predicates : 11 ( 10 usr; 11 prp; 0-0 aty)
% Number of functors : 0 ( 0 usr; 0 con; --- aty)
% Number of variables : 0 (; 0 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
( ~ a_is_a_knight
| ~ b_is_a_knight ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f5,axiom,
( ~ b_is_a_knight
| c_is_a_knight
| d_is_a_knight ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f10,axiom,
( ~ e_is_a_knight
| ~ d_is_a_knight
| c_is_a_knight ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f16,axiom,
( a_is_a_knight
| e_is_a_knight ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f17,axiom,
( a_is_a_knight
| ~ c_is_a_knight ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f18,negated_conjecture,
b_is_a_knight,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f19,plain,
( ~ a_is_a_knight
| ~ b_is_a_knight ),
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f23,plain,
( ~ b_is_a_knight
| c_is_a_knight
| d_is_a_knight ),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f28,plain,
( ~ e_is_a_knight
| ~ d_is_a_knight
| c_is_a_knight ),
inference(cnf_transformation,[status(esa)],[f10]) ).
fof(f34,plain,
( a_is_a_knight
| e_is_a_knight ),
inference(cnf_transformation,[status(esa)],[f16]) ).
fof(f35,plain,
( a_is_a_knight
| ~ c_is_a_knight ),
inference(cnf_transformation,[status(esa)],[f17]) ).
fof(f36,plain,
b_is_a_knight,
inference(cnf_transformation,[status(esa)],[f18]) ).
fof(f37,plain,
( spl0_0
<=> a_is_a_knight ),
introduced(split_symbol_definition) ).
fof(f40,plain,
( spl0_1
<=> b_is_a_knight ),
introduced(split_symbol_definition) ).
fof(f42,plain,
( ~ b_is_a_knight
| spl0_1 ),
inference(component_clause,[status(thm)],[f40]) ).
fof(f43,plain,
( ~ spl0_0
| ~ spl0_1 ),
inference(split_clause,[status(thm)],[f19,f37,f40]) ).
fof(f44,plain,
( spl0_2
<=> d_is_a_knight ),
introduced(split_symbol_definition) ).
fof(f50,plain,
( spl0_3
<=> c_is_a_knight ),
introduced(split_symbol_definition) ).
fof(f53,plain,
( ~ spl0_1
| spl0_3
| spl0_2 ),
inference(split_clause,[status(thm)],[f23,f40,f50,f44]) ).
fof(f58,plain,
( spl0_4
<=> e_is_a_knight ),
introduced(split_symbol_definition) ).
fof(f61,plain,
( ~ spl0_4
| ~ spl0_2
| spl0_3 ),
inference(split_clause,[status(thm)],[f28,f58,f44,f50]) ).
fof(f67,plain,
( spl0_0
| spl0_4 ),
inference(split_clause,[status(thm)],[f34,f37,f58]) ).
fof(f68,plain,
( spl0_0
| ~ spl0_3 ),
inference(split_clause,[status(thm)],[f35,f37,f50]) ).
fof(f69,plain,
( $false
| spl0_1 ),
inference(forward_subsumption_resolution,[status(thm)],[f42,f36]) ).
fof(f70,plain,
spl0_1,
inference(contradiction_clause,[status(thm)],[f69]) ).
fof(f71,plain,
$false,
inference(sat_refutation,[status(thm)],[f43,f53,f61,f67,f68,f70]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : PUZ009-1 : TPTP v8.1.2. Released v1.0.0.
% 0.07/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34 % Computer : n020.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 10:30:58 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.13/0.35 % 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
% 0.13/0.36 % Elapsed time: 0.018183 seconds
% 0.13/0.36 % CPU time: 0.023959 seconds
% 0.13/0.36 % Memory used: 1.658 MB
%------------------------------------------------------------------------------