TSTP Solution File: SYN599-1 by Drodi---3.5.1
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%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : SYN599-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n026.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 12:47:12 EDT 2023
% Result : Unsatisfiable 0.14s 0.36s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 15
% Syntax : Number of formulae : 51 ( 13 unt; 0 def)
% Number of atoms : 108 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 108 ( 51 ~; 51 |; 0 &)
% ( 6 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 11 ( 3 avg)
% Number of predicates : 11 ( 10 usr; 7 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 3 con; 0-2 aty)
% Number of variables : 49 (; 49 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,negated_conjecture,
p18(c21),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f3,negated_conjecture,
! [X34] : p7(X34,X34),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f7,negated_conjecture,
p3(f4(f6(c21)),c22),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f15,negated_conjecture,
! [X27,X28] :
( p3(f14(X27),f14(X28))
| ~ p3(X27,X28) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f23,negated_conjecture,
! [X4,X5,X6,X7] :
( p19(X4,X5)
| ~ p7(X6,X4)
| ~ p7(X7,X5)
| ~ p19(X6,X7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f25,negated_conjecture,
! [X47,X48,X49,X50] :
( p7(f9(X47,X48),f9(X49,X50))
| ~ p3(X48,X50)
| ~ p7(X47,X49) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f26,negated_conjecture,
! [X43,X44,X45,X46] :
( p7(f8(X43,X44),f8(X45,X46))
| ~ p7(X43,X45)
| ~ p7(X44,X46) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f27,negated_conjecture,
~ p19(f15(f16(c21)),f8(f9(f12(f10(f13(f11(c23)))),f14(c22)),f9(f12(f10(f13(f11(c23)))),f10(f11(f11(f11(f11(f11(f11(f11(c23))))))))))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f29,negated_conjecture,
! [X8] :
( p19(f15(f16(X8)),f8(f9(f12(f10(f13(f11(c23)))),f14(f4(f6(X8)))),f9(f12(f10(f13(f11(c23)))),f10(f11(f11(f11(f11(f11(f11(f11(c23)))))))))))
| ~ p18(X8) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f31,plain,
p18(c21),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f32,plain,
! [X0] : p7(X0,X0),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f36,plain,
p3(f4(f6(c21)),c22),
inference(cnf_transformation,[status(esa)],[f7]) ).
fof(f44,plain,
! [X0,X1] :
( p3(f14(X0),f14(X1))
| ~ p3(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f15]) ).
fof(f56,plain,
! [X6,X7] :
( ! [X5] :
( ! [X4] :
( p19(X4,X5)
| ~ p7(X6,X4) )
| ~ p7(X7,X5) )
| ~ p19(X6,X7) ),
inference(miniscoping,[status(esa)],[f23]) ).
fof(f57,plain,
! [X0,X1,X2,X3] :
( p19(X0,X1)
| ~ p7(X2,X0)
| ~ p7(X3,X1)
| ~ p19(X2,X3) ),
inference(cnf_transformation,[status(esa)],[f56]) ).
fof(f60,plain,
! [X47,X49] :
( ! [X48,X50] :
( p7(f9(X47,X48),f9(X49,X50))
| ~ p3(X48,X50) )
| ~ p7(X47,X49) ),
inference(miniscoping,[status(esa)],[f25]) ).
fof(f61,plain,
! [X0,X1,X2,X3] :
( p7(f9(X0,X1),f9(X2,X3))
| ~ p3(X1,X3)
| ~ p7(X0,X2) ),
inference(cnf_transformation,[status(esa)],[f60]) ).
fof(f62,plain,
! [X44,X46] :
( ! [X43,X45] :
( p7(f8(X43,X44),f8(X45,X46))
| ~ p7(X43,X45) )
| ~ p7(X44,X46) ),
inference(miniscoping,[status(esa)],[f26]) ).
fof(f63,plain,
! [X0,X1,X2,X3] :
( p7(f8(X0,X1),f8(X2,X3))
| ~ p7(X0,X2)
| ~ p7(X1,X3) ),
inference(cnf_transformation,[status(esa)],[f62]) ).
fof(f64,plain,
~ p19(f15(f16(c21)),f8(f9(f12(f10(f13(f11(c23)))),f14(c22)),f9(f12(f10(f13(f11(c23)))),f10(f11(f11(f11(f11(f11(f11(f11(c23))))))))))),
inference(cnf_transformation,[status(esa)],[f27]) ).
fof(f66,plain,
! [X0] :
( p19(f15(f16(X0)),f8(f9(f12(f10(f13(f11(c23)))),f14(f4(f6(X0)))),f9(f12(f10(f13(f11(c23)))),f10(f11(f11(f11(f11(f11(f11(f11(c23)))))))))))
| ~ p18(X0) ),
inference(cnf_transformation,[status(esa)],[f29]) ).
fof(f68,plain,
! [X0,X1,X2] :
( ~ p18(X0)
| p19(X1,X2)
| ~ p7(f15(f16(X0)),X1)
| ~ p7(f8(f9(f12(f10(f13(f11(c23)))),f14(f4(f6(X0)))),f9(f12(f10(f13(f11(c23)))),f10(f11(f11(f11(f11(f11(f11(f11(c23)))))))))),X2) ),
inference(resolution,[status(thm)],[f66,f57]) ).
fof(f70,plain,
! [X0,X1] :
( p19(X0,X1)
| ~ p7(f15(f16(c21)),X0)
| ~ p7(f8(f9(f12(f10(f13(f11(c23)))),f14(f4(f6(c21)))),f9(f12(f10(f13(f11(c23)))),f10(f11(f11(f11(f11(f11(f11(f11(c23)))))))))),X1) ),
inference(resolution,[status(thm)],[f68,f31]) ).
fof(f72,plain,
( spl0_0
<=> p7(f15(f16(c21)),f15(f16(c21))) ),
introduced(split_symbol_definition) ).
fof(f74,plain,
( ~ p7(f15(f16(c21)),f15(f16(c21)))
| spl0_0 ),
inference(component_clause,[status(thm)],[f72]) ).
fof(f75,plain,
( spl0_1
<=> p7(f8(f9(f12(f10(f13(f11(c23)))),f14(f4(f6(c21)))),f9(f12(f10(f13(f11(c23)))),f10(f11(f11(f11(f11(f11(f11(f11(c23)))))))))),f8(f9(f12(f10(f13(f11(c23)))),f14(c22)),f9(f12(f10(f13(f11(c23)))),f10(f11(f11(f11(f11(f11(f11(f11(c23))))))))))) ),
introduced(split_symbol_definition) ).
fof(f77,plain,
( ~ p7(f8(f9(f12(f10(f13(f11(c23)))),f14(f4(f6(c21)))),f9(f12(f10(f13(f11(c23)))),f10(f11(f11(f11(f11(f11(f11(f11(c23)))))))))),f8(f9(f12(f10(f13(f11(c23)))),f14(c22)),f9(f12(f10(f13(f11(c23)))),f10(f11(f11(f11(f11(f11(f11(f11(c23)))))))))))
| spl0_1 ),
inference(component_clause,[status(thm)],[f75]) ).
fof(f78,plain,
( ~ p7(f15(f16(c21)),f15(f16(c21)))
| ~ p7(f8(f9(f12(f10(f13(f11(c23)))),f14(f4(f6(c21)))),f9(f12(f10(f13(f11(c23)))),f10(f11(f11(f11(f11(f11(f11(f11(c23)))))))))),f8(f9(f12(f10(f13(f11(c23)))),f14(c22)),f9(f12(f10(f13(f11(c23)))),f10(f11(f11(f11(f11(f11(f11(f11(c23))))))))))) ),
inference(resolution,[status(thm)],[f70,f64]) ).
fof(f79,plain,
( ~ spl0_0
| ~ spl0_1 ),
inference(split_clause,[status(thm)],[f78,f72,f75]) ).
fof(f81,plain,
( $false
| spl0_0 ),
inference(forward_subsumption_resolution,[status(thm)],[f74,f32]) ).
fof(f82,plain,
spl0_0,
inference(contradiction_clause,[status(thm)],[f81]) ).
fof(f95,plain,
( spl0_4
<=> p7(f9(f12(f10(f13(f11(c23)))),f14(f4(f6(c21)))),f9(f12(f10(f13(f11(c23)))),f14(c22))) ),
introduced(split_symbol_definition) ).
fof(f97,plain,
( ~ p7(f9(f12(f10(f13(f11(c23)))),f14(f4(f6(c21)))),f9(f12(f10(f13(f11(c23)))),f14(c22)))
| spl0_4 ),
inference(component_clause,[status(thm)],[f95]) ).
fof(f98,plain,
( spl0_5
<=> p7(f9(f12(f10(f13(f11(c23)))),f10(f11(f11(f11(f11(f11(f11(f11(c23))))))))),f9(f12(f10(f13(f11(c23)))),f10(f11(f11(f11(f11(f11(f11(f11(c23)))))))))) ),
introduced(split_symbol_definition) ).
fof(f100,plain,
( ~ p7(f9(f12(f10(f13(f11(c23)))),f10(f11(f11(f11(f11(f11(f11(f11(c23))))))))),f9(f12(f10(f13(f11(c23)))),f10(f11(f11(f11(f11(f11(f11(f11(c23))))))))))
| spl0_5 ),
inference(component_clause,[status(thm)],[f98]) ).
fof(f101,plain,
( ~ p7(f9(f12(f10(f13(f11(c23)))),f14(f4(f6(c21)))),f9(f12(f10(f13(f11(c23)))),f14(c22)))
| ~ p7(f9(f12(f10(f13(f11(c23)))),f10(f11(f11(f11(f11(f11(f11(f11(c23))))))))),f9(f12(f10(f13(f11(c23)))),f10(f11(f11(f11(f11(f11(f11(f11(c23))))))))))
| spl0_1 ),
inference(resolution,[status(thm)],[f77,f63]) ).
fof(f102,plain,
( ~ spl0_4
| ~ spl0_5
| spl0_1 ),
inference(split_clause,[status(thm)],[f101,f95,f98,f75]) ).
fof(f109,plain,
( spl0_6
<=> p3(f14(f4(f6(c21))),f14(c22)) ),
introduced(split_symbol_definition) ).
fof(f111,plain,
( ~ p3(f14(f4(f6(c21))),f14(c22))
| spl0_6 ),
inference(component_clause,[status(thm)],[f109]) ).
fof(f112,plain,
( spl0_7
<=> p7(f12(f10(f13(f11(c23)))),f12(f10(f13(f11(c23))))) ),
introduced(split_symbol_definition) ).
fof(f114,plain,
( ~ p7(f12(f10(f13(f11(c23)))),f12(f10(f13(f11(c23)))))
| spl0_7 ),
inference(component_clause,[status(thm)],[f112]) ).
fof(f115,plain,
( ~ p3(f14(f4(f6(c21))),f14(c22))
| ~ p7(f12(f10(f13(f11(c23)))),f12(f10(f13(f11(c23)))))
| spl0_4 ),
inference(resolution,[status(thm)],[f97,f61]) ).
fof(f116,plain,
( ~ spl0_6
| ~ spl0_7
| spl0_4 ),
inference(split_clause,[status(thm)],[f115,f109,f112,f95]) ).
fof(f118,plain,
( $false
| spl0_5 ),
inference(forward_subsumption_resolution,[status(thm)],[f100,f32]) ).
fof(f119,plain,
spl0_5,
inference(contradiction_clause,[status(thm)],[f118]) ).
fof(f120,plain,
( ~ p3(f4(f6(c21)),c22)
| spl0_6 ),
inference(resolution,[status(thm)],[f111,f44]) ).
fof(f121,plain,
( $false
| spl0_6 ),
inference(forward_subsumption_resolution,[status(thm)],[f120,f36]) ).
fof(f122,plain,
spl0_6,
inference(contradiction_clause,[status(thm)],[f121]) ).
fof(f123,plain,
( $false
| spl0_7 ),
inference(forward_subsumption_resolution,[status(thm)],[f114,f32]) ).
fof(f124,plain,
spl0_7,
inference(contradiction_clause,[status(thm)],[f123]) ).
fof(f125,plain,
$false,
inference(sat_refutation,[status(thm)],[f79,f82,f102,f116,f119,f122,f124]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SYN599-1 : TPTP v8.1.2. Released v2.5.0.
% 0.03/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.14/0.34 % Computer : n026.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Tue May 30 10:44:58 EDT 2023
% 0.14/0.34 % CPUTime :
% 0.14/0.35 % Drodi V3.5.1
% 0.14/0.36 % Refutation found
% 0.14/0.36 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.14/0.36 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.20/0.37 % Elapsed time: 0.025722 seconds
% 0.20/0.37 % CPU time: 0.075023 seconds
% 0.20/0.37 % Memory used: 9.341 MB
%------------------------------------------------------------------------------