TSTP Solution File: SYN559-1 by Drodi---3.5.1
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%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : SYN559-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n025.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 12:47:07 EDT 2023
% Result : Unsatisfiable 0.10s 0.27s
% Output : CNFRefutation 0.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 11
% Syntax : Number of formulae : 39 ( 18 unt; 0 def)
% Number of atoms : 71 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 63 ( 31 ~; 29 |; 0 &)
% ( 3 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 7 ( 6 usr; 4 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 7 con; 0-2 aty)
% Number of variables : 21 (; 21 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
! [X0] : p2(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2,negated_conjecture,
p8(c13,c9),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f3,negated_conjecture,
p7(c10,c13),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4,negated_conjecture,
p2(f6(c9,c13),c14),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f5,negated_conjecture,
p2(f5(c14,c10),c15),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f6,negated_conjecture,
p2(f3(f4(c11),c12),c15),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f8,negated_conjecture,
! [X1,X2,X0] :
( p2(X1,X2)
| ~ p2(X0,X1)
| ~ p2(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f14,negated_conjecture,
! [X26,X25] :
( ~ p8(X26,c9)
| ~ p7(c10,X26)
| ~ p2(f6(c9,X26),X25)
| ~ p2(f5(X25,c10),f3(f4(c11),c12)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f15,plain,
! [X0] : p2(X0,X0),
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f16,plain,
p8(c13,c9),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f17,plain,
p7(c10,c13),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f18,plain,
p2(f6(c9,c13),c14),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f19,plain,
p2(f5(c14,c10),c15),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f20,plain,
p2(f3(f4(c11),c12),c15),
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f22,plain,
! [X2,X0] :
( ! [X1] :
( p2(X1,X2)
| ~ p2(X0,X1) )
| ~ p2(X0,X2) ),
inference(miniscoping,[status(esa)],[f8]) ).
fof(f23,plain,
! [X0,X1,X2] :
( p2(X0,X1)
| ~ p2(X2,X0)
| ~ p2(X2,X1) ),
inference(cnf_transformation,[status(esa)],[f22]) ).
fof(f34,plain,
! [X25] :
( ! [X26] :
( ~ p8(X26,c9)
| ~ p7(c10,X26)
| ~ p2(f6(c9,X26),X25) )
| ~ p2(f5(X25,c10),f3(f4(c11),c12)) ),
inference(miniscoping,[status(esa)],[f14]) ).
fof(f35,plain,
! [X0,X1] :
( ~ p8(X0,c9)
| ~ p7(c10,X0)
| ~ p2(f6(c9,X0),X1)
| ~ p2(f5(X1,c10),f3(f4(c11),c12)) ),
inference(cnf_transformation,[status(esa)],[f34]) ).
fof(f43,plain,
! [X0,X1] :
( p2(X0,X1)
| ~ p2(X1,X0) ),
inference(resolution,[status(thm)],[f23,f15]) ).
fof(f44,plain,
p2(c15,f3(f4(c11),c12)),
inference(resolution,[status(thm)],[f43,f20]) ).
fof(f45,plain,
p2(c15,f5(c14,c10)),
inference(resolution,[status(thm)],[f43,f19]) ).
fof(f49,plain,
! [X0] :
( p2(X0,f5(c14,c10))
| ~ p2(c15,X0) ),
inference(resolution,[status(thm)],[f45,f23]) ).
fof(f121,plain,
! [X0] :
( ~ p2(c15,X0)
| p2(f5(c14,c10),X0) ),
inference(resolution,[status(thm)],[f49,f43]) ).
fof(f206,plain,
( spl0_8
<=> p8(c13,c9) ),
introduced(split_symbol_definition) ).
fof(f208,plain,
( ~ p8(c13,c9)
| spl0_8 ),
inference(component_clause,[status(thm)],[f206]) ).
fof(f209,plain,
( spl0_9
<=> p7(c10,c13) ),
introduced(split_symbol_definition) ).
fof(f211,plain,
( ~ p7(c10,c13)
| spl0_9 ),
inference(component_clause,[status(thm)],[f209]) ).
fof(f212,plain,
( spl0_10
<=> p2(f5(c14,c10),f3(f4(c11),c12)) ),
introduced(split_symbol_definition) ).
fof(f214,plain,
( ~ p2(f5(c14,c10),f3(f4(c11),c12))
| spl0_10 ),
inference(component_clause,[status(thm)],[f212]) ).
fof(f215,plain,
( ~ p8(c13,c9)
| ~ p7(c10,c13)
| ~ p2(f5(c14,c10),f3(f4(c11),c12)) ),
inference(resolution,[status(thm)],[f35,f18]) ).
fof(f216,plain,
( ~ spl0_8
| ~ spl0_9
| ~ spl0_10 ),
inference(split_clause,[status(thm)],[f215,f206,f209,f212]) ).
fof(f234,plain,
( ~ p2(c15,f3(f4(c11),c12))
| spl0_10 ),
inference(resolution,[status(thm)],[f121,f214]) ).
fof(f235,plain,
( $false
| spl0_10 ),
inference(forward_subsumption_resolution,[status(thm)],[f234,f44]) ).
fof(f236,plain,
spl0_10,
inference(contradiction_clause,[status(thm)],[f235]) ).
fof(f248,plain,
( $false
| spl0_8 ),
inference(forward_subsumption_resolution,[status(thm)],[f208,f16]) ).
fof(f249,plain,
spl0_8,
inference(contradiction_clause,[status(thm)],[f248]) ).
fof(f250,plain,
( $false
| spl0_9 ),
inference(forward_subsumption_resolution,[status(thm)],[f211,f17]) ).
fof(f251,plain,
spl0_9,
inference(contradiction_clause,[status(thm)],[f250]) ).
fof(f252,plain,
$false,
inference(sat_refutation,[status(thm)],[f216,f236,f249,f251]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.07 % Problem : SYN559-1 : TPTP v8.1.2. Released v2.5.0.
% 0.02/0.07 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.07/0.26 % Computer : n025.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 10:40:12 EDT 2023
% 0.07/0.26 % CPUTime :
% 0.10/0.26 % Drodi V3.5.1
% 0.10/0.27 % Refutation found
% 0.10/0.27 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.10/0.27 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.10/0.28 % Elapsed time: 0.015512 seconds
% 0.10/0.28 % CPU time: 0.026805 seconds
% 0.10/0.28 % Memory used: 6.642 MB
%------------------------------------------------------------------------------