TSTP Solution File: SYN657-1 by Drodi---3.6.0
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%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : SYN657-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n015.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 20:52:45 EDT 2024
% Result : Unsatisfiable 0.11s 0.33s
% Output : CNFRefutation 0.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 10
% Syntax : Number of formulae : 33 ( 10 unt; 0 def)
% Number of atoms : 65 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 59 ( 27 ~; 29 |; 0 &)
% ( 3 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 8 ( 7 usr; 4 prp; 0-2 aty)
% Number of functors : 16 ( 16 usr; 7 con; 0-3 aty)
% Number of variables : 32 ( 32 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
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(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(c31,c34)),f19(f20(c31,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(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(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(c31,c34)),f19(f20(c31,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(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(f269,plain,
( spl0_6
<=> p24(f19(f20(c31,c34)),f19(f20(c31,f22(f8(c27,f9(c28,c29)),c31,c34)))) ),
introduced(split_symbol_definition) ).
fof(f271,plain,
( ~ p24(f19(f20(c31,c34)),f19(f20(c31,f22(f8(c27,f9(c28,c29)),c31,c34))))
| spl0_6 ),
inference(component_clause,[status(thm)],[f269]) ).
fof(f272,plain,
( p6(f21(f8(c27,f9(c28,c29))),f10(c33))
| ~ p24(f19(f20(c31,c34)),f19(f20(c31,f22(f8(c27,f9(c28,c29)),c31,c34)))) ),
inference(resolution,[status(thm)],[f117,f110]) ).
fof(f273,plain,
( spl0_5
| ~ spl0_6 ),
inference(split_clause,[status(thm)],[f272,f266,f269]) ).
fof(f282,plain,
( ~ p25(f22(f8(c27,f9(c28,c29)),c31,c34),f18(f8(c27,f9(c28,c29))))
| spl0_6 ),
inference(resolution,[status(thm)],[f271,f111]) ).
fof(f296,plain,
( spl0_7
<=> p4(f5(f8(c27,f9(c28,c29)),c36,c31),f5(f8(c27,f9(c28,c29)),c36,c34)) ),
introduced(split_symbol_definition) ).
fof(f297,plain,
( p4(f5(f8(c27,f9(c28,c29)),c36,c31),f5(f8(c27,f9(c28,c29)),c36,c34))
| ~ spl0_7 ),
inference(component_clause,[status(thm)],[f296]) ).
fof(f299,plain,
( p6(f21(f8(c27,f9(c28,c29))),f10(c33))
| p4(f5(f8(c27,f9(c28,c29)),c36,c31),f5(f8(c27,f9(c28,c29)),c36,c34))
| spl0_6 ),
inference(resolution,[status(thm)],[f282,f116]) ).
fof(f300,plain,
( spl0_5
| spl0_7
| spl0_6 ),
inference(split_clause,[status(thm)],[f299,f266,f296,f269]) ).
fof(f302,plain,
( $false
| ~ spl0_5 ),
inference(forward_subsumption_resolution,[status(thm)],[f267,f120]) ).
fof(f303,plain,
~ spl0_5,
inference(contradiction_clause,[status(thm)],[f302]) ).
fof(f304,plain,
( $false
| ~ spl0_7 ),
inference(forward_subsumption_resolution,[status(thm)],[f297,f110]) ).
fof(f305,plain,
~ spl0_7,
inference(contradiction_clause,[status(thm)],[f304]) ).
fof(f306,plain,
$false,
inference(sat_refutation,[status(thm)],[f273,f300,f303,f305]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.13 % Problem : SYN657-1 : TPTP v8.1.2. Released v2.5.0.
% 0.06/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.07/0.32 % Computer : n015.cluster.edu
% 0.07/0.32 % Model : x86_64 x86_64
% 0.07/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.32 % Memory : 8042.1875MB
% 0.07/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.07/0.32 % CPULimit : 300
% 0.07/0.32 % WCLimit : 300
% 0.07/0.32 % DateTime : Mon Apr 29 22:21:47 EDT 2024
% 0.07/0.32 % CPUTime :
% 0.07/0.32 % Drodi V3.6.0
% 0.11/0.33 % Refutation found
% 0.11/0.33 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.11/0.33 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.11/0.34 % Elapsed time: 0.020013 seconds
% 0.11/0.34 % CPU time: 0.072062 seconds
% 0.11/0.34 % Total memory used: 4.062 MB
% 0.11/0.34 % Net memory used: 3.992 MB
%------------------------------------------------------------------------------