TSTP Solution File: SYN698-1 by Drodi---3.5.1
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%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : SYN698-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n005.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 12:47:25 EDT 2023
% Result : Unsatisfiable 0.07s 0.28s
% Output : CNFRefutation 0.07s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 8
% Syntax : Number of formulae : 30 ( 12 unt; 0 def)
% Number of atoms : 58 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 69 ( 41 ~; 28 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 4 con; 0-2 aty)
% Number of variables : 43 (; 43 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f7,negated_conjecture,
! [X5] : p10(X5,X5),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f12,negated_conjecture,
! [X43] : p2(X43,X43),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f18,negated_conjecture,
p2(c44,c46),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f37,negated_conjecture,
! [X91,X92] :
( p3(f4(X91),f4(X92))
| ~ p2(X91,X92) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f43,negated_conjecture,
! [X44,X45,X43] :
( p2(X44,X45)
| ~ p2(X43,X44)
| ~ p2(X43,X45) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f56,negated_conjecture,
p2(f11(f4(f23(c44,f9(f20(c37)))),c43),f11(f4(c44),c43)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f57,negated_conjecture,
~ p2(f11(f4(c46),c43),f11(f4(f23(c44,f9(f20(c37)))),c43)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f62,negated_conjecture,
! [X46,X47,X48,X49] :
( p2(f11(X46,X47),f11(X48,X49))
| ~ p10(X47,X49)
| ~ p3(X46,X48) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f81,plain,
! [X0] : p10(X0,X0),
inference(cnf_transformation,[status(esa)],[f7]) ).
fof(f86,plain,
! [X0] : p2(X0,X0),
inference(cnf_transformation,[status(esa)],[f12]) ).
fof(f92,plain,
p2(c44,c46),
inference(cnf_transformation,[status(esa)],[f18]) ).
fof(f111,plain,
! [X0,X1] :
( p3(f4(X0),f4(X1))
| ~ p2(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f37]) ).
fof(f122,plain,
! [X45,X43] :
( ! [X44] :
( p2(X44,X45)
| ~ p2(X43,X44) )
| ~ p2(X43,X45) ),
inference(miniscoping,[status(esa)],[f43]) ).
fof(f123,plain,
! [X0,X1,X2] :
( p2(X0,X1)
| ~ p2(X2,X0)
| ~ p2(X2,X1) ),
inference(cnf_transformation,[status(esa)],[f122]) ).
fof(f143,plain,
p2(f11(f4(f23(c44,f9(f20(c37)))),c43),f11(f4(c44),c43)),
inference(cnf_transformation,[status(esa)],[f56]) ).
fof(f144,plain,
~ p2(f11(f4(c46),c43),f11(f4(f23(c44,f9(f20(c37)))),c43)),
inference(cnf_transformation,[status(esa)],[f57]) ).
fof(f152,plain,
! [X46,X48] :
( ! [X47,X49] :
( p2(f11(X46,X47),f11(X48,X49))
| ~ p10(X47,X49) )
| ~ p3(X46,X48) ),
inference(miniscoping,[status(esa)],[f62]) ).
fof(f153,plain,
! [X0,X1,X2,X3] :
( p2(f11(X0,X1),f11(X2,X3))
| ~ p10(X1,X3)
| ~ p3(X0,X2) ),
inference(cnf_transformation,[status(esa)],[f152]) ).
fof(f181,plain,
! [X0] :
( ~ p2(X0,f11(f4(c46),c43))
| ~ p2(X0,f11(f4(f23(c44,f9(f20(c37)))),c43)) ),
inference(resolution,[status(thm)],[f144,f123]) ).
fof(f203,plain,
! [X0,X1] :
( ~ p2(X0,f11(f4(c46),c43))
| ~ p2(X1,X0)
| ~ p2(X1,f11(f4(f23(c44,f9(f20(c37)))),c43)) ),
inference(resolution,[status(thm)],[f181,f123]) ).
fof(f225,plain,
! [X0] :
( ~ p2(X0,f11(f4(c46),c43))
| ~ p2(f11(f4(f23(c44,f9(f20(c37)))),c43),X0) ),
inference(resolution,[status(thm)],[f203,f86]) ).
fof(f226,plain,
! [X0,X1] :
( ~ p2(f11(f4(f23(c44,f9(f20(c37)))),c43),X0)
| ~ p2(X1,X0)
| ~ p2(X1,f11(f4(c46),c43)) ),
inference(resolution,[status(thm)],[f225,f123]) ).
fof(f229,plain,
! [X0] :
( ~ p2(f11(f4(f23(c44,f9(f20(c37)))),c43),X0)
| ~ p2(f11(f4(c46),c43),X0) ),
inference(resolution,[status(thm)],[f226,f86]) ).
fof(f241,plain,
! [X0,X1] :
( ~ p2(f11(f4(f23(c44,f9(f20(c37)))),c43),f11(X0,X1))
| ~ p10(c43,X1)
| ~ p3(f4(c46),X0) ),
inference(resolution,[status(thm)],[f229,f153]) ).
fof(f250,plain,
! [X0] :
( ~ p2(f11(f4(f23(c44,f9(f20(c37)))),c43),f11(X0,c43))
| ~ p3(f4(c46),X0) ),
inference(resolution,[status(thm)],[f241,f81]) ).
fof(f251,plain,
! [X0] :
( ~ p2(f11(f4(f23(c44,f9(f20(c37)))),c43),f11(f4(X0),c43))
| ~ p2(c46,X0) ),
inference(resolution,[status(thm)],[f250,f111]) ).
fof(f254,plain,
! [X0,X1] :
( ~ p2(f11(f4(f23(c44,f9(f20(c37)))),c43),f11(f4(X0),c43))
| ~ p2(X1,c46)
| ~ p2(X1,X0) ),
inference(resolution,[status(thm)],[f251,f123]) ).
fof(f260,plain,
! [X0] :
( ~ p2(f11(f4(f23(c44,f9(f20(c37)))),c43),f11(f4(X0),c43))
| ~ p2(c44,X0) ),
inference(resolution,[status(thm)],[f254,f92]) ).
fof(f265,plain,
~ p2(f11(f4(f23(c44,f9(f20(c37)))),c43),f11(f4(c44),c43)),
inference(resolution,[status(thm)],[f260,f86]) ).
fof(f266,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f265,f143]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.08 % Problem : SYN698-1 : TPTP v8.1.2. Released v2.5.0.
% 0.02/0.08 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.07/0.26 % Computer : n005.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
% 0.07/0.27 % CPULimit : 300
% 0.07/0.27 % WCLimit : 300
% 0.07/0.27 % DateTime : Tue May 30 10:22:51 EDT 2023
% 0.07/0.27 % CPUTime :
% 0.07/0.27 % Drodi V3.5.1
% 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
% 0.07/0.29 % Elapsed time: 0.021851 seconds
% 0.07/0.29 % CPU time: 0.056739 seconds
% 0.07/0.29 % Memory used: 3.072 MB
%------------------------------------------------------------------------------