TSTP Solution File: SYN560-1 by Drodi---3.6.0
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%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : SYN560-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n029.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 20:52:31 EDT 2024
% Result : Unsatisfiable 0.07s 0.28s
% Output : CNFRefutation 0.07s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 12
% Syntax : Number of formulae : 44 ( 13 unt; 0 def)
% Number of atoms : 99 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 109 ( 54 ~; 53 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 5 ( 4 usr; 3 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 4 con; 0-2 aty)
% Number of variables : 62 ( 62 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
! [X0] : p2(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2,negated_conjecture,
~ p2(c9,f3(c10)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4,negated_conjecture,
! [X9] : p2(f4(X9),f5(X9,f3(f7(c10)))),
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(f9,negated_conjecture,
! [X24,X25,X26] :
( p8(X24,X25)
| ~ p8(X24,X26)
| ~ p8(X26,X25) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f10,negated_conjecture,
p8(f6(c9,f4(c12)),f6(c9,f4(f5(c12,c14)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f11,negated_conjecture,
~ p8(f6(c9,f4(c12)),f6(c9,f4(f4(f5(c12,c14))))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f12,negated_conjecture,
! [X20,X21,X23,X22] :
( p8(X20,X21)
| ~ p2(X23,X21)
| ~ p8(X22,X23)
| ~ p2(X22,X20) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f14,negated_conjecture,
! [X14,X15,X16,X17] :
( p2(f6(X14,X15),f6(X16,X17))
| ~ p2(X15,X17)
| ~ p2(X14,X16) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f15,negated_conjecture,
! [X3,X4] :
( p2(X3,f3(c10))
| p8(f6(X3,X4),f6(X3,f5(X4,f3(f7(c10))))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f16,plain,
! [X0] : p2(X0,X0),
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f17,plain,
~ p2(c9,f3(c10)),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f19,plain,
! [X0] : p2(f4(X0),f5(X0,f3(f7(c10)))),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f23,plain,
! [X2,X0] :
( ! [X1] :
( p2(X1,X2)
| ~ p2(X0,X1) )
| ~ p2(X0,X2) ),
inference(miniscoping,[status(esa)],[f8]) ).
fof(f24,plain,
! [X0,X1,X2] :
( p2(X0,X1)
| ~ p2(X2,X0)
| ~ p2(X2,X1) ),
inference(cnf_transformation,[status(esa)],[f23]) ).
fof(f25,plain,
! [X25,X26] :
( ! [X24] :
( p8(X24,X25)
| ~ p8(X24,X26) )
| ~ p8(X26,X25) ),
inference(miniscoping,[status(esa)],[f9]) ).
fof(f26,plain,
! [X0,X1,X2] :
( p8(X0,X1)
| ~ p8(X0,X2)
| ~ p8(X2,X1) ),
inference(cnf_transformation,[status(esa)],[f25]) ).
fof(f27,plain,
p8(f6(c9,f4(c12)),f6(c9,f4(f5(c12,c14)))),
inference(cnf_transformation,[status(esa)],[f10]) ).
fof(f28,plain,
~ p8(f6(c9,f4(c12)),f6(c9,f4(f4(f5(c12,c14))))),
inference(cnf_transformation,[status(esa)],[f11]) ).
fof(f29,plain,
! [X20,X22] :
( ! [X23] :
( ! [X21] :
( p8(X20,X21)
| ~ p2(X23,X21) )
| ~ p8(X22,X23) )
| ~ p2(X22,X20) ),
inference(miniscoping,[status(esa)],[f12]) ).
fof(f30,plain,
! [X0,X1,X2,X3] :
( p8(X0,X1)
| ~ p2(X2,X1)
| ~ p8(X3,X2)
| ~ p2(X3,X0) ),
inference(cnf_transformation,[status(esa)],[f29]) ).
fof(f33,plain,
! [X14,X16] :
( ! [X15,X17] :
( p2(f6(X14,X15),f6(X16,X17))
| ~ p2(X15,X17) )
| ~ p2(X14,X16) ),
inference(miniscoping,[status(esa)],[f14]) ).
fof(f34,plain,
! [X0,X1,X2,X3] :
( p2(f6(X0,X1),f6(X2,X3))
| ~ p2(X1,X3)
| ~ p2(X0,X2) ),
inference(cnf_transformation,[status(esa)],[f33]) ).
fof(f35,plain,
! [X3] :
( p2(X3,f3(c10))
| ! [X4] : p8(f6(X3,X4),f6(X3,f5(X4,f3(f7(c10))))) ),
inference(miniscoping,[status(esa)],[f15]) ).
fof(f36,plain,
! [X0,X1] :
( p2(X0,f3(c10))
| p8(f6(X0,X1),f6(X0,f5(X1,f3(f7(c10))))) ),
inference(cnf_transformation,[status(esa)],[f35]) ).
fof(f48,plain,
! [X0] :
( p8(f6(c9,f4(c12)),X0)
| ~ p8(f6(c9,f4(f5(c12,c14))),X0) ),
inference(resolution,[status(thm)],[f27,f26]) ).
fof(f58,plain,
( spl0_0
<=> p8(f6(c9,f4(c12)),f6(c9,f5(f4(f5(c12,c14)),f3(f7(c10))))) ),
introduced(split_symbol_definition) ).
fof(f59,plain,
( p8(f6(c9,f4(c12)),f6(c9,f5(f4(f5(c12,c14)),f3(f7(c10)))))
| ~ spl0_0 ),
inference(component_clause,[status(thm)],[f58]) ).
fof(f61,plain,
( spl0_1
<=> p2(c9,f3(c10)) ),
introduced(split_symbol_definition) ).
fof(f62,plain,
( p2(c9,f3(c10))
| ~ spl0_1 ),
inference(component_clause,[status(thm)],[f61]) ).
fof(f64,plain,
( p8(f6(c9,f4(c12)),f6(c9,f5(f4(f5(c12,c14)),f3(f7(c10)))))
| p2(c9,f3(c10)) ),
inference(resolution,[status(thm)],[f48,f36]) ).
fof(f65,plain,
( spl0_0
| spl0_1 ),
inference(split_clause,[status(thm)],[f64,f58,f61]) ).
fof(f105,plain,
( $false
| ~ spl0_1 ),
inference(forward_subsumption_resolution,[status(thm)],[f62,f17]) ).
fof(f106,plain,
~ spl0_1,
inference(contradiction_clause,[status(thm)],[f105]) ).
fof(f109,plain,
! [X0,X1] :
( p8(X0,X1)
| ~ p2(f6(c9,f5(f4(f5(c12,c14)),f3(f7(c10)))),X1)
| ~ p2(f6(c9,f4(c12)),X0)
| ~ spl0_0 ),
inference(resolution,[status(thm)],[f59,f30]) ).
fof(f126,plain,
! [X0] :
( p8(f6(c9,f4(c12)),X0)
| ~ p2(f6(c9,f5(f4(f5(c12,c14)),f3(f7(c10)))),X0)
| ~ spl0_0 ),
inference(resolution,[status(thm)],[f109,f16]) ).
fof(f135,plain,
! [X0,X1] :
( p8(f6(c9,f4(c12)),f6(X0,X1))
| ~ p2(f5(f4(f5(c12,c14)),f3(f7(c10))),X1)
| ~ p2(c9,X0)
| ~ spl0_0 ),
inference(resolution,[status(thm)],[f126,f34]) ).
fof(f139,plain,
! [X0] :
( p8(f6(c9,f4(c12)),f6(c9,X0))
| ~ p2(f5(f4(f5(c12,c14)),f3(f7(c10))),X0)
| ~ spl0_0 ),
inference(resolution,[status(thm)],[f135,f16]) ).
fof(f141,plain,
! [X0,X1] :
( p8(f6(c9,f4(c12)),f6(c9,X0))
| ~ p2(X1,f5(f4(f5(c12,c14)),f3(f7(c10))))
| ~ p2(X1,X0)
| ~ spl0_0 ),
inference(resolution,[status(thm)],[f139,f24]) ).
fof(f158,plain,
! [X0] :
( p8(f6(c9,f4(c12)),f6(c9,X0))
| ~ p2(f4(f4(f5(c12,c14))),X0)
| ~ spl0_0 ),
inference(resolution,[status(thm)],[f141,f19]) ).
fof(f164,plain,
( p8(f6(c9,f4(c12)),f6(c9,f4(f4(f5(c12,c14)))))
| ~ spl0_0 ),
inference(resolution,[status(thm)],[f158,f16]) ).
fof(f165,plain,
( $false
| ~ spl0_0 ),
inference(forward_subsumption_resolution,[status(thm)],[f164,f28]) ).
fof(f166,plain,
~ spl0_0,
inference(contradiction_clause,[status(thm)],[f165]) ).
fof(f167,plain,
$false,
inference(sat_refutation,[status(thm)],[f65,f106,f166]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.07 % Problem : SYN560-1 : TPTP v8.1.2. Released v2.5.0.
% 0.04/0.08 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.07/0.26 % Computer : n029.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 22:15:04 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
% 0.07/0.29 % Elapsed time: 0.022041 seconds
% 0.07/0.29 % CPU time: 0.082436 seconds
% 0.07/0.29 % Total memory used: 4.226 MB
% 0.07/0.29 % Net memory used: 4.062 MB
%------------------------------------------------------------------------------