TSTP Solution File: SYN628-1 by Drodi---3.5.1
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%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : SYN628-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n031.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 12:47:15 EDT 2023
% Result : Unsatisfiable 0.13s 0.36s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 16
% Syntax : Number of formulae : 54 ( 15 unt; 0 def)
% Number of atoms : 117 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 122 ( 59 ~; 57 |; 0 &)
% ( 6 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 10 ( 9 usr; 7 prp; 0-2 aty)
% Number of functors : 17 ( 17 usr; 7 con; 0-2 aty)
% Number of variables : 61 (; 61 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
! [X4] : p2(X4,X4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2,negated_conjecture,
! [X40] : p9(X40,X40),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f6,negated_conjecture,
p9(c28,c22),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f13,negated_conjecture,
! [X53,X54] :
( p9(f16(X53),f16(X54))
| ~ p9(X53,X54) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f26,negated_conjecture,
! [X11,X12,X13,X14] :
( p20(X11,X12)
| ~ p9(X13,X11)
| ~ p9(X14,X12)
| ~ p20(X13,X14) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f29,negated_conjecture,
! [X55,X56,X57,X58] :
( p9(f17(X55,X56),f17(X57,X58))
| ~ p9(X55,X57)
| ~ p9(X56,X58) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f30,negated_conjecture,
! [X49,X50,X51,X52] :
( p9(f15(X49,X50),f15(X51,X52))
| ~ p2(X49,X51)
| ~ p9(X50,X52) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f31,negated_conjecture,
! [X43,X44,X45,X46] :
( p9(f10(X43,X44),f10(X45,X46))
| ~ p9(X43,X45)
| ~ p9(X44,X46) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f34,negated_conjecture,
p20(f16(f17(c28,c27)),f10(f15(f7(c23,f8(c24,c25)),c28),f11(f12(f13(f14(c29)))))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f35,negated_conjecture,
~ p20(f16(f17(c22,c27)),f10(f15(f7(c23,f8(c24,c25)),c22),f11(f12(f13(f14(c29)))))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f37,plain,
! [X0] : p2(X0,X0),
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f38,plain,
! [X0] : p9(X0,X0),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f42,plain,
p9(c28,c22),
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f49,plain,
! [X0,X1] :
( p9(f16(X0),f16(X1))
| ~ p9(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f13]) ).
fof(f69,plain,
! [X13,X14] :
( ! [X12] :
( ! [X11] :
( p20(X11,X12)
| ~ p9(X13,X11) )
| ~ p9(X14,X12) )
| ~ p20(X13,X14) ),
inference(miniscoping,[status(esa)],[f26]) ).
fof(f70,plain,
! [X0,X1,X2,X3] :
( p20(X0,X1)
| ~ p9(X2,X0)
| ~ p9(X3,X1)
| ~ p20(X2,X3) ),
inference(cnf_transformation,[status(esa)],[f69]) ).
fof(f75,plain,
! [X56,X58] :
( ! [X55,X57] :
( p9(f17(X55,X56),f17(X57,X58))
| ~ p9(X55,X57) )
| ~ p9(X56,X58) ),
inference(miniscoping,[status(esa)],[f29]) ).
fof(f76,plain,
! [X0,X1,X2,X3] :
( p9(f17(X0,X1),f17(X2,X3))
| ~ p9(X0,X2)
| ~ p9(X1,X3) ),
inference(cnf_transformation,[status(esa)],[f75]) ).
fof(f77,plain,
! [X50,X52] :
( ! [X49,X51] :
( p9(f15(X49,X50),f15(X51,X52))
| ~ p2(X49,X51) )
| ~ p9(X50,X52) ),
inference(miniscoping,[status(esa)],[f30]) ).
fof(f78,plain,
! [X0,X1,X2,X3] :
( p9(f15(X0,X1),f15(X2,X3))
| ~ p2(X0,X2)
| ~ p9(X1,X3) ),
inference(cnf_transformation,[status(esa)],[f77]) ).
fof(f79,plain,
! [X44,X46] :
( ! [X43,X45] :
( p9(f10(X43,X44),f10(X45,X46))
| ~ p9(X43,X45) )
| ~ p9(X44,X46) ),
inference(miniscoping,[status(esa)],[f31]) ).
fof(f80,plain,
! [X0,X1,X2,X3] :
( p9(f10(X0,X1),f10(X2,X3))
| ~ p9(X0,X2)
| ~ p9(X1,X3) ),
inference(cnf_transformation,[status(esa)],[f79]) ).
fof(f84,plain,
p20(f16(f17(c28,c27)),f10(f15(f7(c23,f8(c24,c25)),c28),f11(f12(f13(f14(c29)))))),
inference(cnf_transformation,[status(esa)],[f34]) ).
fof(f85,plain,
~ p20(f16(f17(c22,c27)),f10(f15(f7(c23,f8(c24,c25)),c22),f11(f12(f13(f14(c29)))))),
inference(cnf_transformation,[status(esa)],[f35]) ).
fof(f88,plain,
! [X0,X1] :
( ~ p9(X0,f16(f17(c22,c27)))
| ~ p9(X1,f10(f15(f7(c23,f8(c24,c25)),c22),f11(f12(f13(f14(c29))))))
| ~ p20(X0,X1) ),
inference(resolution,[status(thm)],[f85,f70]) ).
fof(f93,plain,
! [X0,X1,X2] :
( ~ p9(X0,f16(f17(c22,c27)))
| ~ p20(X0,f10(X1,X2))
| ~ p9(X1,f15(f7(c23,f8(c24,c25)),c22))
| ~ p9(X2,f11(f12(f13(f14(c29))))) ),
inference(resolution,[status(thm)],[f88,f80]) ).
fof(f97,plain,
( spl0_0
<=> p9(f16(f17(c28,c27)),f16(f17(c22,c27))) ),
introduced(split_symbol_definition) ).
fof(f99,plain,
( ~ p9(f16(f17(c28,c27)),f16(f17(c22,c27)))
| spl0_0 ),
inference(component_clause,[status(thm)],[f97]) ).
fof(f100,plain,
( spl0_1
<=> p9(f15(f7(c23,f8(c24,c25)),c28),f15(f7(c23,f8(c24,c25)),c22)) ),
introduced(split_symbol_definition) ).
fof(f102,plain,
( ~ p9(f15(f7(c23,f8(c24,c25)),c28),f15(f7(c23,f8(c24,c25)),c22))
| spl0_1 ),
inference(component_clause,[status(thm)],[f100]) ).
fof(f103,plain,
( spl0_2
<=> p9(f11(f12(f13(f14(c29)))),f11(f12(f13(f14(c29))))) ),
introduced(split_symbol_definition) ).
fof(f105,plain,
( ~ p9(f11(f12(f13(f14(c29)))),f11(f12(f13(f14(c29)))))
| spl0_2 ),
inference(component_clause,[status(thm)],[f103]) ).
fof(f106,plain,
( ~ p9(f16(f17(c28,c27)),f16(f17(c22,c27)))
| ~ p9(f15(f7(c23,f8(c24,c25)),c28),f15(f7(c23,f8(c24,c25)),c22))
| ~ p9(f11(f12(f13(f14(c29)))),f11(f12(f13(f14(c29))))) ),
inference(resolution,[status(thm)],[f93,f84]) ).
fof(f107,plain,
( ~ spl0_0
| ~ spl0_1
| ~ spl0_2 ),
inference(split_clause,[status(thm)],[f106,f97,f100,f103]) ).
fof(f109,plain,
( $false
| spl0_2 ),
inference(forward_subsumption_resolution,[status(thm)],[f105,f38]) ).
fof(f110,plain,
spl0_2,
inference(contradiction_clause,[status(thm)],[f109]) ).
fof(f111,plain,
( ~ p9(f17(c28,c27),f17(c22,c27))
| spl0_0 ),
inference(resolution,[status(thm)],[f99,f49]) ).
fof(f113,plain,
( spl0_3
<=> p9(c28,c22) ),
introduced(split_symbol_definition) ).
fof(f115,plain,
( ~ p9(c28,c22)
| spl0_3 ),
inference(component_clause,[status(thm)],[f113]) ).
fof(f116,plain,
( spl0_4
<=> p9(c27,c27) ),
introduced(split_symbol_definition) ).
fof(f118,plain,
( ~ p9(c27,c27)
| spl0_4 ),
inference(component_clause,[status(thm)],[f116]) ).
fof(f119,plain,
( ~ p9(c28,c22)
| ~ p9(c27,c27)
| spl0_0 ),
inference(resolution,[status(thm)],[f111,f76]) ).
fof(f120,plain,
( ~ spl0_3
| ~ spl0_4
| spl0_0 ),
inference(split_clause,[status(thm)],[f119,f113,f116,f97]) ).
fof(f122,plain,
( $false
| spl0_4 ),
inference(forward_subsumption_resolution,[status(thm)],[f118,f38]) ).
fof(f123,plain,
spl0_4,
inference(contradiction_clause,[status(thm)],[f122]) ).
fof(f124,plain,
( $false
| spl0_3 ),
inference(forward_subsumption_resolution,[status(thm)],[f115,f42]) ).
fof(f125,plain,
spl0_3,
inference(contradiction_clause,[status(thm)],[f124]) ).
fof(f126,plain,
( spl0_5
<=> p2(f7(c23,f8(c24,c25)),f7(c23,f8(c24,c25))) ),
introduced(split_symbol_definition) ).
fof(f128,plain,
( ~ p2(f7(c23,f8(c24,c25)),f7(c23,f8(c24,c25)))
| spl0_5 ),
inference(component_clause,[status(thm)],[f126]) ).
fof(f129,plain,
( ~ p2(f7(c23,f8(c24,c25)),f7(c23,f8(c24,c25)))
| ~ p9(c28,c22)
| spl0_1 ),
inference(resolution,[status(thm)],[f102,f78]) ).
fof(f130,plain,
( ~ spl0_5
| ~ spl0_3
| spl0_1 ),
inference(split_clause,[status(thm)],[f129,f126,f113,f100]) ).
fof(f132,plain,
( $false
| spl0_5 ),
inference(forward_subsumption_resolution,[status(thm)],[f128,f37]) ).
fof(f133,plain,
spl0_5,
inference(contradiction_clause,[status(thm)],[f132]) ).
fof(f134,plain,
$false,
inference(sat_refutation,[status(thm)],[f107,f110,f120,f123,f125,f130,f133]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SYN628-1 : TPTP v8.1.2. Released v2.5.0.
% 0.11/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34 % Computer : n031.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue May 30 10:50:52 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.13/0.35 % Drodi V3.5.1
% 0.13/0.36 % Refutation found
% 0.13/0.36 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.13/0.36 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.13/0.37 % Elapsed time: 0.027457 seconds
% 0.13/0.37 % CPU time: 0.076309 seconds
% 0.13/0.37 % Memory used: 10.048 MB
%------------------------------------------------------------------------------