TSTP Solution File: SYN678-1 by Drodi---3.6.0
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%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : SYN678-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n018.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 20:52:48 EDT 2024
% Result : Unsatisfiable 0.07s 0.28s
% Output : CNFRefutation 0.07s
% 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(f12,negated_conjecture,
p25(c33,c36),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f14,negated_conjecture,
p25(c32,c33),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f19,negated_conjecture,
! [X96] : ~ p2(X96,f16(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),f16(f11(f4(c33),c34),f9(f17(c31)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f48,negated_conjecture,
! [X37,X38,X39,X40] :
( p2(f16(X37,X38),f16(X39,X40))
| ~ p2(X37,X39)
| ~ p2(X38,X40) ),
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(f67,plain,
p25(c33,c36),
inference(cnf_transformation,[status(esa)],[f12]) ).
fof(f69,plain,
p25(c32,c33),
inference(cnf_transformation,[status(esa)],[f14]) ).
fof(f74,plain,
! [X0] : ~ p2(X0,f16(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),f16(f11(f4(c33),c34),f9(f17(c31)))),
inference(cnf_transformation,[status(esa)],[f39]) ).
fof(f120,plain,
! [X38,X40] :
( ! [X37,X39] :
( p2(f16(X37,X38),f16(X39,X40))
| ~ p2(X37,X39) )
| ~ p2(X38,X40) ),
inference(miniscoping,[status(esa)],[f48]) ).
fof(f121,plain,
! [X0,X1,X2,X3] :
( p2(f16(X0,X1),f16(X2,X3))
| ~ p2(X0,X2)
| ~ p2(X1,X3) ),
inference(cnf_transformation,[status(esa)],[f120]) ).
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(f133,plain,
! [X0,X1] :
( ~ p2(X0,X1)
| ~ p2(X0,f16(X1,f9(f17(c31)))) ),
inference(resolution,[status(thm)],[f92,f74]) ).
fof(f139,plain,
! [X0,X1,X2] :
( ~ p2(X0,X1)
| ~ p2(X2,f9(f17(c31)))
| ~ p2(f16(X0,X2),X1) ),
inference(resolution,[status(thm)],[f121,f133]) ).
fof(f214,plain,
! [X0,X1] :
( ~ p2(X0,X1)
| ~ p2(f16(X0,f9(f17(c31))),X1) ),
inference(resolution,[status(thm)],[f139,f62]) ).
fof(f216,plain,
! [X0,X1,X2] :
( ~ p2(X0,X1)
| ~ p2(X2,f16(X0,f9(f17(c31))))
| ~ p2(X2,X1) ),
inference(resolution,[status(thm)],[f214,f92]) ).
fof(f244,plain,
! [X0] :
( ~ p2(f11(f4(c33),c34),X0)
| ~ p2(f11(f4(c32),c34),X0) ),
inference(resolution,[status(thm)],[f216,f107]) ).
fof(f309,plain,
( spl0_6
<=> p2(f11(f4(c33),c34),f11(f4(c32),c34)) ),
introduced(split_symbol_definition) ).
fof(f310,plain,
( p2(f11(f4(c33),c34),f11(f4(c32),c34))
| ~ spl0_6 ),
inference(component_clause,[status(thm)],[f309]) ).
fof(f312,plain,
( spl0_7
<=> p25(c33,c36) ),
introduced(split_symbol_definition) ).
fof(f314,plain,
( ~ p25(c33,c36)
| spl0_7 ),
inference(component_clause,[status(thm)],[f312]) ).
fof(f315,plain,
( p2(f11(f4(c33),c34),f11(f4(c32),c34))
| ~ p25(c33,c36) ),
inference(resolution,[status(thm)],[f125,f69]) ).
fof(f316,plain,
( spl0_6
| ~ spl0_7 ),
inference(split_clause,[status(thm)],[f315,f309,f312]) ).
fof(f326,plain,
( $false
| spl0_7 ),
inference(forward_subsumption_resolution,[status(thm)],[f314,f67]) ).
fof(f327,plain,
spl0_7,
inference(contradiction_clause,[status(thm)],[f326]) ).
fof(f355,plain,
( ~ p2(f11(f4(c32),c34),f11(f4(c32),c34))
| ~ spl0_6 ),
inference(resolution,[status(thm)],[f310,f244]) ).
fof(f356,plain,
( $false
| ~ spl0_6 ),
inference(forward_subsumption_resolution,[status(thm)],[f355,f62]) ).
fof(f357,plain,
~ spl0_6,
inference(contradiction_clause,[status(thm)],[f356]) ).
fof(f358,plain,
$false,
inference(sat_refutation,[status(thm)],[f316,f327,f357]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.07 % Problem : SYN678-1 : TPTP v8.1.2. Released v2.5.0.
% 0.07/0.08 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.07/0.26 % Computer : n018.cluster.edu
% 0.07/0.26 % Model : x86_64 x86_64
% 0.07/0.26 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.26 % Memory : 8042.1875MB
% 0.07/0.26 % OS : Linux 3.10.0-693.el7.x86_64
% 0.07/0.26 % CPULimit : 300
% 0.07/0.26 % WCLimit : 300
% 0.07/0.26 % DateTime : Mon Apr 29 22:11:27 EDT 2024
% 0.07/0.26 % CPUTime :
% 0.07/0.27 % Drodi V3.6.0
% 0.07/0.28 % Refutation found
% 0.07/0.28 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.07/0.28 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.07/0.28 % Elapsed time: 0.017920 seconds
% 0.07/0.28 % CPU time: 0.075122 seconds
% 0.07/0.28 % Total memory used: 4.665 MB
% 0.07/0.28 % Net memory used: 4.574 MB
%------------------------------------------------------------------------------