TSTP Solution File: SYN661-1 by Drodi---3.6.0
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%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : SYN661-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n016.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 20:52:46 EDT 2024
% Result : Unsatisfiable 0.07s 0.28s
% Output : CNFRefutation 0.07s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 10
% Syntax : Number of formulae : 35 ( 13 unt; 0 def)
% Number of atoms : 67 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 70 ( 38 ~; 30 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 5 ( 4 usr; 3 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 5 con; 0-2 aty)
% Number of variables : 38 ( 38 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f6,negated_conjecture,
! [X35] : p2(X35,X35),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f12,negated_conjecture,
p25(c36,c33),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f13,negated_conjecture,
p25(c32,c36),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f19,negated_conjecture,
! [X96] : ~ p2(X96,f16(X96,f9(f17(c31)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f30,negated_conjecture,
! [X36,X37,X35] :
( p2(X36,X37)
| ~ p2(X35,X36)
| ~ p2(X35,X37) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f40,negated_conjecture,
p2(f11(f4(c32),c34),f16(f11(f4(c36),c34),f9(f17(c31)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f48,negated_conjecture,
! [X44,X45,X46,X47] :
( p2(f16(X44,X45),f16(X46,X47))
| ~ p2(X44,X46)
| ~ p2(X45,X47) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f49,negated_conjecture,
! [X42] :
( p2(f11(f4(X42),c34),f11(f4(c32),c34))
| ~ p25(X42,c33)
| ~ p25(c32,X42) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f60,plain,
! [X0] : p2(X0,X0),
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f66,plain,
p25(c36,c33),
inference(cnf_transformation,[status(esa)],[f12]) ).
fof(f67,plain,
p25(c32,c36),
inference(cnf_transformation,[status(esa)],[f13]) ).
fof(f73,plain,
! [X0] : ~ p2(X0,f16(X0,f9(f17(c31)))),
inference(cnf_transformation,[status(esa)],[f19]) ).
fof(f88,plain,
! [X37,X35] :
( ! [X36] :
( p2(X36,X37)
| ~ p2(X35,X36) )
| ~ p2(X35,X37) ),
inference(miniscoping,[status(esa)],[f30]) ).
fof(f89,plain,
! [X0,X1,X2] :
( p2(X0,X1)
| ~ p2(X2,X0)
| ~ p2(X2,X1) ),
inference(cnf_transformation,[status(esa)],[f88]) ).
fof(f107,plain,
p2(f11(f4(c32),c34),f16(f11(f4(c36),c34),f9(f17(c31)))),
inference(cnf_transformation,[status(esa)],[f40]) ).
fof(f120,plain,
! [X45,X47] :
( ! [X44,X46] :
( p2(f16(X44,X45),f16(X46,X47))
| ~ p2(X44,X46) )
| ~ p2(X45,X47) ),
inference(miniscoping,[status(esa)],[f48]) ).
fof(f121,plain,
! [X0,X1,X2,X3] :
( p2(f16(X0,X1),f16(X2,X3))
| ~ p2(X0,X2)
| ~ p2(X1,X3) ),
inference(cnf_transformation,[status(esa)],[f120]) ).
fof(f122,plain,
! [X0] :
( p2(f11(f4(X0),c34),f11(f4(c32),c34))
| ~ p25(X0,c33)
| ~ p25(c32,X0) ),
inference(cnf_transformation,[status(esa)],[f49]) ).
fof(f131,plain,
! [X0,X1] :
( ~ p2(X0,X1)
| ~ p2(X0,f16(X1,f9(f17(c31)))) ),
inference(resolution,[status(thm)],[f89,f73]) ).
fof(f137,plain,
! [X0,X1,X2] :
( ~ p2(X0,X1)
| ~ p2(X2,f9(f17(c31)))
| ~ p2(f16(X0,X2),X1) ),
inference(resolution,[status(thm)],[f121,f131]) ).
fof(f212,plain,
! [X0,X1] :
( ~ p2(X0,X1)
| ~ p2(f16(X0,f9(f17(c31))),X1) ),
inference(resolution,[status(thm)],[f137,f60]) ).
fof(f214,plain,
! [X0,X1,X2] :
( ~ p2(X0,X1)
| ~ p2(X2,f16(X0,f9(f17(c31))))
| ~ p2(X2,X1) ),
inference(resolution,[status(thm)],[f212,f89]) ).
fof(f241,plain,
! [X0] :
( ~ p2(f11(f4(c36),c34),X0)
| ~ p2(f11(f4(c32),c34),X0) ),
inference(resolution,[status(thm)],[f214,f107]) ).
fof(f300,plain,
( spl0_5
<=> p2(f11(f4(c36),c34),f11(f4(c32),c34)) ),
introduced(split_symbol_definition) ).
fof(f301,plain,
( p2(f11(f4(c36),c34),f11(f4(c32),c34))
| ~ spl0_5 ),
inference(component_clause,[status(thm)],[f300]) ).
fof(f303,plain,
( spl0_6
<=> p25(c36,c33) ),
introduced(split_symbol_definition) ).
fof(f305,plain,
( ~ p25(c36,c33)
| spl0_6 ),
inference(component_clause,[status(thm)],[f303]) ).
fof(f306,plain,
( p2(f11(f4(c36),c34),f11(f4(c32),c34))
| ~ p25(c36,c33) ),
inference(resolution,[status(thm)],[f122,f67]) ).
fof(f307,plain,
( spl0_5
| ~ spl0_6 ),
inference(split_clause,[status(thm)],[f306,f300,f303]) ).
fof(f309,plain,
( $false
| spl0_6 ),
inference(forward_subsumption_resolution,[status(thm)],[f305,f66]) ).
fof(f310,plain,
spl0_6,
inference(contradiction_clause,[status(thm)],[f309]) ).
fof(f327,plain,
( ~ p2(f11(f4(c32),c34),f11(f4(c32),c34))
| ~ spl0_5 ),
inference(resolution,[status(thm)],[f301,f241]) ).
fof(f328,plain,
( $false
| ~ spl0_5 ),
inference(forward_subsumption_resolution,[status(thm)],[f327,f60]) ).
fof(f329,plain,
~ spl0_5,
inference(contradiction_clause,[status(thm)],[f328]) ).
fof(f330,plain,
$false,
inference(sat_refutation,[status(thm)],[f307,f310,f329]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.07 % Problem : SYN661-1 : TPTP v8.1.2. Released v2.5.0.
% 0.00/0.08 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.07/0.26 % Computer : n016.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 : Mon Apr 29 22:33:55 EDT 2024
% 0.07/0.26 % CPUTime :
% 0.07/0.27 % Drodi V3.6.0
% 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
% 0.07/0.28 % Elapsed time: 0.018088 seconds
% 0.07/0.28 % CPU time: 0.077359 seconds
% 0.07/0.28 % Total memory used: 5.383 MB
% 0.07/0.28 % Net memory used: 5.287 MB
%------------------------------------------------------------------------------