TSTP Solution File: SYN659-1 by Drodi---3.5.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : SYN659-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n027.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 0.14s 0.31s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 11
% Syntax : Number of formulae : 37 ( 16 unt; 0 def)
% Number of atoms : 72 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 75 ( 40 ~; 33 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 7 ( 6 usr; 3 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 6 con; 0-2 aty)
% Number of variables : 45 (; 45 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3,negated_conjecture,
! [X87] : p7(X87,X87),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f9,negated_conjecture,
! [X20] : p14(X20,X20),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f10,negated_conjecture,
! [X13] : p12(X13,X13),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f27,negated_conjecture,
p24(f15(c29,f13(c40,c41)),f13(c32,c33)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f29,negated_conjecture,
p12(f13(f16(c39),f17(c39)),f13(c40,c41)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f37,negated_conjecture,
! [X21,X22,X20] :
( p14(X21,X22)
| ~ p14(X20,X21)
| ~ p14(X20,X22) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f39,negated_conjecture,
~ p24(f15(c29,f13(f16(c39),f17(c39))),f13(c32,c33)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f41,negated_conjecture,
! [X67,X68,X70,X69] :
( p24(X67,X68)
| ~ p14(X70,X67)
| ~ p24(X70,X69)
| ~ p12(X69,X68) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f45,negated_conjecture,
! [X23,X24,X25,X26] :
( p14(f15(X23,X24),f15(X25,X26))
| ~ p12(X24,X26)
| ~ p7(X23,X25) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f54,plain,
! [X0] : p7(X0,X0),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f60,plain,
! [X0] : p14(X0,X0),
inference(cnf_transformation,[status(esa)],[f9]) ).
fof(f61,plain,
! [X0] : p12(X0,X0),
inference(cnf_transformation,[status(esa)],[f10]) ).
fof(f78,plain,
p24(f15(c29,f13(c40,c41)),f13(c32,c33)),
inference(cnf_transformation,[status(esa)],[f27]) ).
fof(f80,plain,
p12(f13(f16(c39),f17(c39)),f13(c40,c41)),
inference(cnf_transformation,[status(esa)],[f29]) ).
fof(f95,plain,
! [X22,X20] :
( ! [X21] :
( p14(X21,X22)
| ~ p14(X20,X21) )
| ~ p14(X20,X22) ),
inference(miniscoping,[status(esa)],[f37]) ).
fof(f96,plain,
! [X0,X1,X2] :
( p14(X0,X1)
| ~ p14(X2,X0)
| ~ p14(X2,X1) ),
inference(cnf_transformation,[status(esa)],[f95]) ).
fof(f99,plain,
~ p24(f15(c29,f13(f16(c39),f17(c39))),f13(c32,c33)),
inference(cnf_transformation,[status(esa)],[f39]) ).
fof(f102,plain,
! [X68,X69] :
( ! [X70] :
( ! [X67] :
( p24(X67,X68)
| ~ p14(X70,X67) )
| ~ p24(X70,X69) )
| ~ p12(X69,X68) ),
inference(miniscoping,[status(esa)],[f41]) ).
fof(f103,plain,
! [X0,X1,X2,X3] :
( p24(X0,X1)
| ~ p14(X2,X0)
| ~ p24(X2,X3)
| ~ p12(X3,X1) ),
inference(cnf_transformation,[status(esa)],[f102]) ).
fof(f110,plain,
! [X23,X25] :
( ! [X24,X26] :
( p14(f15(X23,X24),f15(X25,X26))
| ~ p12(X24,X26) )
| ~ p7(X23,X25) ),
inference(miniscoping,[status(esa)],[f45]) ).
fof(f111,plain,
! [X0,X1,X2,X3] :
( p14(f15(X0,X1),f15(X2,X3))
| ~ p12(X1,X3)
| ~ p7(X0,X2) ),
inference(cnf_transformation,[status(esa)],[f110]) ).
fof(f127,plain,
! [X0,X1] :
( ~ p14(X0,f15(c29,f13(f16(c39),f17(c39))))
| ~ p24(X0,X1)
| ~ p12(X1,f13(c32,c33)) ),
inference(resolution,[status(thm)],[f103,f99]) ).
fof(f146,plain,
! [X0] :
( ~ p14(X0,f15(c29,f13(f16(c39),f17(c39))))
| ~ p24(X0,f13(c32,c33)) ),
inference(resolution,[status(thm)],[f127,f61]) ).
fof(f148,plain,
~ p14(f15(c29,f13(c40,c41)),f15(c29,f13(f16(c39),f17(c39)))),
inference(resolution,[status(thm)],[f146,f78]) ).
fof(f153,plain,
( spl0_1
<=> p7(c29,c29) ),
introduced(split_symbol_definition) ).
fof(f155,plain,
( ~ p7(c29,c29)
| spl0_1 ),
inference(component_clause,[status(thm)],[f153]) ).
fof(f168,plain,
( $false
| spl0_1 ),
inference(forward_subsumption_resolution,[status(thm)],[f155,f54]) ).
fof(f169,plain,
spl0_1,
inference(contradiction_clause,[status(thm)],[f168]) ).
fof(f200,plain,
! [X0] :
( ~ p14(X0,f15(c29,f13(c40,c41)))
| ~ p14(X0,f15(c29,f13(f16(c39),f17(c39)))) ),
inference(resolution,[status(thm)],[f148,f96]) ).
fof(f204,plain,
! [X0,X1] :
( ~ p14(f15(X0,X1),f15(c29,f13(f16(c39),f17(c39))))
| ~ p12(X1,f13(c40,c41))
| ~ p7(X0,c29) ),
inference(resolution,[status(thm)],[f200,f111]) ).
fof(f277,plain,
( spl0_13
<=> p12(f13(f16(c39),f17(c39)),f13(c40,c41)) ),
introduced(split_symbol_definition) ).
fof(f279,plain,
( ~ p12(f13(f16(c39),f17(c39)),f13(c40,c41))
| spl0_13 ),
inference(component_clause,[status(thm)],[f277]) ).
fof(f280,plain,
( ~ p12(f13(f16(c39),f17(c39)),f13(c40,c41))
| ~ p7(c29,c29) ),
inference(resolution,[status(thm)],[f204,f60]) ).
fof(f281,plain,
( ~ spl0_13
| ~ spl0_1 ),
inference(split_clause,[status(thm)],[f280,f277,f153]) ).
fof(f282,plain,
( $false
| spl0_13 ),
inference(forward_subsumption_resolution,[status(thm)],[f279,f80]) ).
fof(f283,plain,
spl0_13,
inference(contradiction_clause,[status(thm)],[f282]) ).
fof(f284,plain,
$false,
inference(sat_refutation,[status(thm)],[f169,f281,f283]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : SYN659-1 : TPTP v8.1.2. Released v2.5.0.
% 0.00/0.09 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.09/0.29 % Computer : n027.cluster.edu
% 0.09/0.29 % Model : x86_64 x86_64
% 0.09/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.29 % Memory : 8042.1875MB
% 0.09/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.29 % CPULimit : 300
% 0.09/0.29 % WCLimit : 300
% 0.09/0.29 % DateTime : Tue May 30 10:46:32 EDT 2023
% 0.09/0.29 % CPUTime :
% 0.09/0.30 % Drodi V3.5.1
% 0.14/0.31 % Refutation found
% 0.14/0.31 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.14/0.31 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.14/0.53 % Elapsed time: 0.019926 seconds
% 0.14/0.53 % CPU time: 0.019013 seconds
% 0.14/0.53 % Memory used: 767.826 KB
%------------------------------------------------------------------------------