TSTP Solution File: SYN643-1 by Drodi---3.6.0
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%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : SYN643-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n025.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 : Tue Apr 30 20:52:43 EDT 2024
% Result : Unsatisfiable 0.13s 0.40s
% Output : CNFRefutation 0.13s
% 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(f5,negated_conjecture,
! [X36] : p4(X36,X36),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f10,negated_conjecture,
p4(f5(f3(c18)),f5(c18)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f11,negated_conjecture,
p4(f5(f3(c19)),f5(c19)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f24,negated_conjecture,
! [X37,X38,X36] :
( p4(X37,X38)
| ~ p4(X36,X37)
| ~ p4(X36,X38) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f28,negated_conjecture,
~ p4(f5(f10(f3(c19),f3(c18))),f9(f5(c19),f5(c18))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f35,negated_conjecture,
! [X41,X42,X43,X44] :
( p4(f9(X41,X42),f9(X43,X44))
| ~ p4(X42,X44)
| ~ p4(X41,X43) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f37,negated_conjecture,
! [X14,X15] :
( p4(f5(f10(X14,X15)),f9(f5(X14),f5(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(f47,plain,
! [X0] : p4(X0,X0),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f52,plain,
p4(f5(f3(c18)),f5(c18)),
inference(cnf_transformation,[status(esa)],[f10]) ).
fof(f53,plain,
p4(f5(f3(c19)),f5(c19)),
inference(cnf_transformation,[status(esa)],[f11]) ).
fof(f69,plain,
! [X38,X36] :
( ! [X37] :
( p4(X37,X38)
| ~ p4(X36,X37) )
| ~ p4(X36,X38) ),
inference(miniscoping,[status(esa)],[f24]) ).
fof(f70,plain,
! [X0,X1,X2] :
( p4(X0,X1)
| ~ p4(X2,X0)
| ~ p4(X2,X1) ),
inference(cnf_transformation,[status(esa)],[f69]) ).
fof(f77,plain,
~ p4(f5(f10(f3(c19),f3(c18))),f9(f5(c19),f5(c18))),
inference(cnf_transformation,[status(esa)],[f28]) ).
fof(f86,plain,
! [X41,X43] :
( ! [X42,X44] :
( p4(f9(X41,X42),f9(X43,X44))
| ~ p4(X42,X44) )
| ~ p4(X41,X43) ),
inference(miniscoping,[status(esa)],[f35]) ).
fof(f87,plain,
! [X0,X1,X2,X3] :
( p4(f9(X0,X1),f9(X2,X3))
| ~ p4(X1,X3)
| ~ p4(X0,X2) ),
inference(cnf_transformation,[status(esa)],[f86]) ).
fof(f90,plain,
! [X15] :
( ! [X14] :
( p4(f5(f10(X14,X15)),f9(f5(X14),f5(X15)))
| ~ p15(X14) )
| ~ p15(X15) ),
inference(miniscoping,[status(esa)],[f37]) ).
fof(f91,plain,
! [X0,X1] :
( p4(f5(f10(X0,X1)),f9(f5(X0),f5(X1)))
| ~ p15(X0)
| ~ p15(X1) ),
inference(cnf_transformation,[status(esa)],[f90]) ).
fof(f143,plain,
! [X0] :
( ~ p4(X0,f5(f10(f3(c19),f3(c18))))
| ~ p4(X0,f9(f5(c19),f5(c18))) ),
inference(resolution,[status(thm)],[f77,f70]) ).
fof(f159,plain,
! [X0,X1] :
( ~ p4(X0,f9(f5(c19),f5(c18)))
| ~ p4(X1,X0)
| ~ p4(X1,f5(f10(f3(c19),f3(c18)))) ),
inference(resolution,[status(thm)],[f143,f70]) ).
fof(f176,plain,
! [X0] :
( ~ p4(X0,f9(f5(c19),f5(c18)))
| ~ p4(f5(f10(f3(c19),f3(c18))),X0) ),
inference(resolution,[status(thm)],[f159,f47]) ).
fof(f177,plain,
( spl0_0
<=> p4(f9(f5(f3(c19)),f5(f3(c18))),f9(f5(c19),f5(c18))) ),
introduced(split_symbol_definition) ).
fof(f179,plain,
( ~ p4(f9(f5(f3(c19)),f5(f3(c18))),f9(f5(c19),f5(c18)))
| spl0_0 ),
inference(component_clause,[status(thm)],[f177]) ).
fof(f180,plain,
( spl0_1
<=> p15(f3(c19)) ),
introduced(split_symbol_definition) ).
fof(f182,plain,
( ~ p15(f3(c19))
| spl0_1 ),
inference(component_clause,[status(thm)],[f180]) ).
fof(f183,plain,
( spl0_2
<=> p15(f3(c18)) ),
introduced(split_symbol_definition) ).
fof(f185,plain,
( ~ p15(f3(c18))
| spl0_2 ),
inference(component_clause,[status(thm)],[f183]) ).
fof(f186,plain,
( ~ p4(f9(f5(f3(c19)),f5(f3(c18))),f9(f5(c19),f5(c18)))
| ~ p15(f3(c19))
| ~ p15(f3(c18)) ),
inference(resolution,[status(thm)],[f176,f91]) ).
fof(f187,plain,
( ~ spl0_0
| ~ spl0_1
| ~ spl0_2 ),
inference(split_clause,[status(thm)],[f186,f177,f180,f183]) ).
fof(f191,plain,
( $false
| spl0_2 ),
inference(forward_subsumption_resolution,[status(thm)],[f185,f44]) ).
fof(f192,plain,
spl0_2,
inference(contradiction_clause,[status(thm)],[f191]) ).
fof(f193,plain,
( spl0_3
<=> p4(f5(f3(c18)),f5(c18)) ),
introduced(split_symbol_definition) ).
fof(f195,plain,
( ~ p4(f5(f3(c18)),f5(c18))
| spl0_3 ),
inference(component_clause,[status(thm)],[f193]) ).
fof(f196,plain,
( spl0_4
<=> p4(f5(f3(c19)),f5(c19)) ),
introduced(split_symbol_definition) ).
fof(f198,plain,
( ~ p4(f5(f3(c19)),f5(c19))
| spl0_4 ),
inference(component_clause,[status(thm)],[f196]) ).
fof(f199,plain,
( ~ p4(f5(f3(c18)),f5(c18))
| ~ p4(f5(f3(c19)),f5(c19))
| spl0_0 ),
inference(resolution,[status(thm)],[f179,f87]) ).
fof(f200,plain,
( ~ spl0_3
| ~ spl0_4
| spl0_0 ),
inference(split_clause,[status(thm)],[f199,f193,f196,f177]) ).
fof(f202,plain,
( $false
| spl0_1 ),
inference(forward_subsumption_resolution,[status(thm)],[f182,f43]) ).
fof(f203,plain,
spl0_1,
inference(contradiction_clause,[status(thm)],[f202]) ).
fof(f204,plain,
( $false
| spl0_3 ),
inference(forward_subsumption_resolution,[status(thm)],[f195,f52]) ).
fof(f205,plain,
spl0_3,
inference(contradiction_clause,[status(thm)],[f204]) ).
fof(f206,plain,
( $false
| spl0_4 ),
inference(forward_subsumption_resolution,[status(thm)],[f198,f53]) ).
fof(f207,plain,
spl0_4,
inference(contradiction_clause,[status(thm)],[f206]) ).
fof(f208,plain,
$false,
inference(sat_refutation,[status(thm)],[f187,f192,f200,f203,f205,f207]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.14 % Problem : SYN643-1 : TPTP v8.1.2. Released v2.5.0.
% 0.11/0.15 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.37 % Computer : n025.cluster.edu
% 0.13/0.37 % Model : x86_64 x86_64
% 0.13/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.37 % Memory : 8042.1875MB
% 0.13/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.37 % CPULimit : 300
% 0.13/0.37 % WCLimit : 300
% 0.13/0.37 % DateTime : Mon Apr 29 22:16:56 EDT 2024
% 0.13/0.37 % CPUTime :
% 0.13/0.38 % Drodi V3.6.0
% 0.13/0.40 % Refutation found
% 0.13/0.40 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.13/0.40 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.13/0.41 % Elapsed time: 0.027676 seconds
% 0.13/0.41 % CPU time: 0.113271 seconds
% 0.13/0.41 % Total memory used: 3.952 MB
% 0.13/0.41 % Net memory used: 3.865 MB
%------------------------------------------------------------------------------