TSTP Solution File: SYN658-1 by Drodi---3.5.1
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%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : SYN658-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n022.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 12:47:19 EDT 2023
% Result : Unsatisfiable 2.28s 0.67s
% Output : CNFRefutation 2.28s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 13
% Syntax : Number of formulae : 42 ( 13 unt; 0 def)
% Number of atoms : 81 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 74 ( 35 ~; 35 |; 0 &)
% ( 4 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 9 ( 8 usr; 5 prp; 0-2 aty)
% Number of functors : 16 ( 16 usr; 7 con; 0-3 aty)
% Number of variables : 44 (; 44 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f4,negated_conjecture,
! [X36] : p4(X36,X36),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f11,negated_conjecture,
~ p6(c28,f10(c33)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f15,negated_conjecture,
! [X82,X83,X84] : p6(f21(f8(X82,f9(X83,X84))),X83),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f25,negated_conjecture,
! [X72,X73,X71] :
( p6(X72,X73)
| ~ p6(X71,X72)
| ~ p6(X71,X73) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f26,negated_conjecture,
! [X37,X38,X36] :
( p4(X37,X38)
| ~ p4(X36,X37)
| ~ p4(X36,X38) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f44,negated_conjecture,
~ p4(f5(f8(c27,f9(c28,c29)),c36,c31),f5(f8(c27,f9(c28,c29)),c36,c34)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f45,negated_conjecture,
! [X20] :
( p24(f19(f20(c34,c31)),f19(f20(c34,X20)))
| ~ p25(X20,f18(f8(c27,f9(c28,c29)))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f48,negated_conjecture,
! [X25,X26,X27] :
( p6(f21(X25),f10(c33))
| p25(f22(X25,X26,X27),f18(X25))
| p4(f5(X25,c36,X26),f5(X25,c36,X27)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f49,negated_conjecture,
! [X25,X26,X27] :
( p6(f21(X25),f10(c33))
| p4(f5(X25,c36,X26),f5(X25,c36,X27))
| ~ p24(f19(f20(X26,X27)),f19(f20(X26,f22(X25,X26,X27)))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f54,plain,
! [X0] : p4(X0,X0),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f61,plain,
~ p6(c28,f10(c33)),
inference(cnf_transformation,[status(esa)],[f11]) ).
fof(f65,plain,
! [X0,X1,X2] : p6(f21(f8(X0,f9(X1,X2))),X1),
inference(cnf_transformation,[status(esa)],[f15]) ).
fof(f77,plain,
! [X73,X71] :
( ! [X72] :
( p6(X72,X73)
| ~ p6(X71,X72) )
| ~ p6(X71,X73) ),
inference(miniscoping,[status(esa)],[f25]) ).
fof(f78,plain,
! [X0,X1,X2] :
( p6(X0,X1)
| ~ p6(X2,X0)
| ~ p6(X2,X1) ),
inference(cnf_transformation,[status(esa)],[f77]) ).
fof(f79,plain,
! [X38,X36] :
( ! [X37] :
( p4(X37,X38)
| ~ p4(X36,X37) )
| ~ p4(X36,X38) ),
inference(miniscoping,[status(esa)],[f26]) ).
fof(f80,plain,
! [X0,X1,X2] :
( p4(X0,X1)
| ~ p4(X2,X0)
| ~ p4(X2,X1) ),
inference(cnf_transformation,[status(esa)],[f79]) ).
fof(f110,plain,
~ p4(f5(f8(c27,f9(c28,c29)),c36,c31),f5(f8(c27,f9(c28,c29)),c36,c34)),
inference(cnf_transformation,[status(esa)],[f44]) ).
fof(f111,plain,
! [X0] :
( p24(f19(f20(c34,c31)),f19(f20(c34,X0)))
| ~ p25(X0,f18(f8(c27,f9(c28,c29)))) ),
inference(cnf_transformation,[status(esa)],[f45]) ).
fof(f116,plain,
! [X0,X1,X2] :
( p6(f21(X0),f10(c33))
| p25(f22(X0,X1,X2),f18(X0))
| p4(f5(X0,c36,X1),f5(X0,c36,X2)) ),
inference(cnf_transformation,[status(esa)],[f48]) ).
fof(f117,plain,
! [X0,X1,X2] :
( p6(f21(X0),f10(c33))
| p4(f5(X0,c36,X1),f5(X0,c36,X2))
| ~ p24(f19(f20(X1,X2)),f19(f20(X1,f22(X0,X1,X2)))) ),
inference(cnf_transformation,[status(esa)],[f49]) ).
fof(f119,plain,
! [X0] :
( ~ p6(X0,c28)
| ~ p6(X0,f10(c33)) ),
inference(resolution,[status(thm)],[f78,f61]) ).
fof(f120,plain,
! [X0,X1] : ~ p6(f21(f8(X0,f9(c28,X1))),f10(c33)),
inference(resolution,[status(thm)],[f119,f65]) ).
fof(f220,plain,
! [X0] :
( ~ p4(X0,f5(f8(c27,f9(c28,c29)),c36,c31))
| ~ p4(X0,f5(f8(c27,f9(c28,c29)),c36,c34)) ),
inference(resolution,[status(thm)],[f110,f80]) ).
fof(f266,plain,
( spl0_5
<=> p6(f21(f8(c27,f9(c28,c29))),f10(c33)) ),
introduced(split_symbol_definition) ).
fof(f267,plain,
( p6(f21(f8(c27,f9(c28,c29))),f10(c33))
| ~ spl0_5 ),
inference(component_clause,[status(thm)],[f266]) ).
fof(f274,plain,
( $false
| ~ spl0_5 ),
inference(forward_subsumption_resolution,[status(thm)],[f267,f120]) ).
fof(f275,plain,
~ spl0_5,
inference(contradiction_clause,[status(thm)],[f274]) ).
fof(f461,plain,
~ p4(f5(f8(c27,f9(c28,c29)),c36,c34),f5(f8(c27,f9(c28,c29)),c36,c31)),
inference(resolution,[status(thm)],[f220,f54]) ).
fof(f662,plain,
( spl0_21
<=> p25(f22(f8(c27,f9(c28,c29)),c34,c31),f18(f8(c27,f9(c28,c29)))) ),
introduced(split_symbol_definition) ).
fof(f1403,plain,
( spl0_27
<=> p4(c34,c34) ),
introduced(split_symbol_definition) ).
fof(f1405,plain,
( ~ p4(c34,c34)
| spl0_27 ),
inference(component_clause,[status(thm)],[f1403]) ).
fof(f1409,plain,
( $false
| spl0_27 ),
inference(forward_subsumption_resolution,[status(thm)],[f1405,f54]) ).
fof(f1410,plain,
spl0_27,
inference(contradiction_clause,[status(thm)],[f1409]) ).
fof(f1507,plain,
( spl0_28
<=> p24(f19(f20(c34,c31)),f19(f20(c34,f22(f8(c27,f9(c28,c29)),c34,c31)))) ),
introduced(split_symbol_definition) ).
fof(f1509,plain,
( ~ p24(f19(f20(c34,c31)),f19(f20(c34,f22(f8(c27,f9(c28,c29)),c34,c31))))
| spl0_28 ),
inference(component_clause,[status(thm)],[f1507]) ).
fof(f1510,plain,
( p6(f21(f8(c27,f9(c28,c29))),f10(c33))
| ~ p24(f19(f20(c34,c31)),f19(f20(c34,f22(f8(c27,f9(c28,c29)),c34,c31)))) ),
inference(resolution,[status(thm)],[f461,f117]) ).
fof(f1511,plain,
( spl0_5
| ~ spl0_28 ),
inference(split_clause,[status(thm)],[f1510,f266,f1507]) ).
fof(f1512,plain,
( p6(f21(f8(c27,f9(c28,c29))),f10(c33))
| p25(f22(f8(c27,f9(c28,c29)),c34,c31),f18(f8(c27,f9(c28,c29)))) ),
inference(resolution,[status(thm)],[f461,f116]) ).
fof(f1513,plain,
( spl0_5
| spl0_21 ),
inference(split_clause,[status(thm)],[f1512,f266,f662]) ).
fof(f2110,plain,
( ~ p25(f22(f8(c27,f9(c28,c29)),c34,c31),f18(f8(c27,f9(c28,c29))))
| spl0_28 ),
inference(resolution,[status(thm)],[f1509,f111]) ).
fof(f2111,plain,
( ~ spl0_21
| spl0_28 ),
inference(split_clause,[status(thm)],[f2110,f662,f1507]) ).
fof(f2113,plain,
$false,
inference(sat_refutation,[status(thm)],[f275,f1410,f1511,f1513,f2111]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.07 % Problem : SYN658-1 : TPTP v8.1.2. Released v2.5.0.
% 0.00/0.07 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.07/0.26 % Computer : n022.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 : Tue May 30 10:28:12 EDT 2023
% 0.07/0.26 % CPUTime :
% 0.07/0.27 % Drodi V3.5.1
% 2.28/0.67 % Refutation found
% 2.28/0.67 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 2.28/0.67 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 2.28/0.69 % Elapsed time: 0.426387 seconds
% 2.28/0.69 % CPU time: 2.661274 seconds
% 2.28/0.69 % Memory used: 25.945 MB
%------------------------------------------------------------------------------