TSTP Solution File: SYN636-1 by Drodi---3.5.1
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%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : SYN636-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n019.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 12:47:16 EDT 2023
% Result : Unsatisfiable 0.13s 0.40s
% Output : CNFRefutation 0.13s
% 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(f7,negated_conjecture,
~ p3(c23,f8(c24)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f8,negated_conjecture,
! [X80,X81,X82] : p3(f4(f6(X80,f7(X81,X82))),X81),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f17,negated_conjecture,
! [X76,X77,X75] :
( p3(X76,X77)
| ~ p3(X75,X76)
| ~ p3(X75,X77) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f25,negated_conjecture,
~ p10(f11(f6(c25,f7(c23,c26)),c27,c28),f11(f6(c25,f7(c23,c26)),c27,c29)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f27,negated_conjecture,
! [X69] :
( p21(f12(f13(c28,c29)),f12(f13(c28,X69)))
| ~ p22(X69,f15(f6(c25,f7(c23,c26)))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f34,negated_conjecture,
! [X18,X19,X20] :
( p3(f4(X18),f8(c24))
| p22(f20(X18,X19,X20),f15(X18))
| p10(f11(X18,c27,X19),f11(X18,c27,X20)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f37,negated_conjecture,
! [X18,X19,X20] :
( p3(f4(X18),f8(c24))
| p10(f11(X18,c27,X19),f11(X18,c27,X20))
| ~ p21(f12(f13(X19,X20)),f12(f13(X19,f20(X18,X19,X20)))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f47,plain,
~ p3(c23,f8(c24)),
inference(cnf_transformation,[status(esa)],[f7]) ).
fof(f48,plain,
! [X0,X1,X2] : p3(f4(f6(X0,f7(X1,X2))),X1),
inference(cnf_transformation,[status(esa)],[f8]) ).
fof(f60,plain,
! [X77,X75] :
( ! [X76] :
( p3(X76,X77)
| ~ p3(X75,X76) )
| ~ p3(X75,X77) ),
inference(miniscoping,[status(esa)],[f17]) ).
fof(f61,plain,
! [X0,X1,X2] :
( p3(X0,X1)
| ~ p3(X2,X0)
| ~ p3(X2,X1) ),
inference(cnf_transformation,[status(esa)],[f60]) ).
fof(f76,plain,
~ p10(f11(f6(c25,f7(c23,c26)),c27,c28),f11(f6(c25,f7(c23,c26)),c27,c29)),
inference(cnf_transformation,[status(esa)],[f25]) ).
fof(f78,plain,
! [X0] :
( p21(f12(f13(c28,c29)),f12(f13(c28,X0)))
| ~ p22(X0,f15(f6(c25,f7(c23,c26)))) ),
inference(cnf_transformation,[status(esa)],[f27]) ).
fof(f90,plain,
! [X0,X1,X2] :
( p3(f4(X0),f8(c24))
| p22(f20(X0,X1,X2),f15(X0))
| p10(f11(X0,c27,X1),f11(X0,c27,X2)) ),
inference(cnf_transformation,[status(esa)],[f34]) ).
fof(f93,plain,
! [X0,X1,X2] :
( p3(f4(X0),f8(c24))
| p10(f11(X0,c27,X1),f11(X0,c27,X2))
| ~ p21(f12(f13(X1,X2)),f12(f13(X1,f20(X0,X1,X2)))) ),
inference(cnf_transformation,[status(esa)],[f37]) ).
fof(f97,plain,
! [X0] :
( ~ p3(X0,c23)
| ~ p3(X0,f8(c24)) ),
inference(resolution,[status(thm)],[f61,f47]) ).
fof(f98,plain,
! [X0,X1] : ~ p3(f4(f6(X0,f7(c23,X1))),f8(c24)),
inference(resolution,[status(thm)],[f97,f48]) ).
fof(f467,plain,
( spl0_15
<=> p3(f4(f6(c25,f7(c23,c26))),f8(c24)) ),
introduced(split_symbol_definition) ).
fof(f468,plain,
( p3(f4(f6(c25,f7(c23,c26))),f8(c24))
| ~ spl0_15 ),
inference(component_clause,[status(thm)],[f467]) ).
fof(f470,plain,
( spl0_16
<=> p22(f20(f6(c25,f7(c23,c26)),c28,c29),f15(f6(c25,f7(c23,c26)))) ),
introduced(split_symbol_definition) ).
fof(f471,plain,
( p22(f20(f6(c25,f7(c23,c26)),c28,c29),f15(f6(c25,f7(c23,c26))))
| ~ spl0_16 ),
inference(component_clause,[status(thm)],[f470]) ).
fof(f473,plain,
( p3(f4(f6(c25,f7(c23,c26))),f8(c24))
| p22(f20(f6(c25,f7(c23,c26)),c28,c29),f15(f6(c25,f7(c23,c26)))) ),
inference(resolution,[status(thm)],[f90,f76]) ).
fof(f474,plain,
( spl0_15
| spl0_16 ),
inference(split_clause,[status(thm)],[f473,f467,f470]) ).
fof(f475,plain,
( $false
| ~ spl0_15 ),
inference(forward_subsumption_resolution,[status(thm)],[f468,f98]) ).
fof(f476,plain,
~ spl0_15,
inference(contradiction_clause,[status(thm)],[f475]) ).
fof(f498,plain,
( p21(f12(f13(c28,c29)),f12(f13(c28,f20(f6(c25,f7(c23,c26)),c28,c29))))
| ~ spl0_16 ),
inference(resolution,[status(thm)],[f471,f78]) ).
fof(f530,plain,
( spl0_19
<=> p10(f11(f6(c25,f7(c23,c26)),c27,c28),f11(f6(c25,f7(c23,c26)),c27,c29)) ),
introduced(split_symbol_definition) ).
fof(f531,plain,
( p10(f11(f6(c25,f7(c23,c26)),c27,c28),f11(f6(c25,f7(c23,c26)),c27,c29))
| ~ spl0_19 ),
inference(component_clause,[status(thm)],[f530]) ).
fof(f533,plain,
( p3(f4(f6(c25,f7(c23,c26))),f8(c24))
| p10(f11(f6(c25,f7(c23,c26)),c27,c28),f11(f6(c25,f7(c23,c26)),c27,c29))
| ~ spl0_16 ),
inference(resolution,[status(thm)],[f498,f93]) ).
fof(f534,plain,
( spl0_15
| spl0_19
| ~ spl0_16 ),
inference(split_clause,[status(thm)],[f533,f467,f530,f470]) ).
fof(f536,plain,
( $false
| ~ spl0_19 ),
inference(forward_subsumption_resolution,[status(thm)],[f531,f76]) ).
fof(f537,plain,
~ spl0_19,
inference(contradiction_clause,[status(thm)],[f536]) ).
fof(f538,plain,
$false,
inference(sat_refutation,[status(thm)],[f474,f476,f534,f537]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.11 % Problem : SYN636-1 : TPTP v8.1.2. Released v2.5.0.
% 0.08/0.12 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.08/0.32 % Computer : n019.cluster.edu
% 0.08/0.32 % Model : x86_64 x86_64
% 0.08/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.32 % Memory : 8042.1875MB
% 0.08/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.08/0.32 % CPULimit : 300
% 0.08/0.32 % WCLimit : 300
% 0.08/0.32 % DateTime : Tue May 30 10:30:25 EDT 2023
% 0.08/0.32 % CPUTime :
% 0.08/0.33 % Drodi V3.5.1
% 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: 0.086680 seconds
% 0.13/0.41 % CPU time: 0.379840 seconds
% 0.13/0.41 % Memory used: 9.677 MB
%------------------------------------------------------------------------------