TSTP Solution File: SYN616-1 by Drodi---3.5.1
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%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : SYN616-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n014.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 12:47:14 EDT 2023
% Result : Unsatisfiable 0.06s 0.27s
% Output : CNFRefutation 0.06s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 14
% Syntax : Number of formulae : 49 ( 14 unt; 0 def)
% Number of atoms : 107 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 108 ( 50 ~; 51 |; 0 &)
% ( 7 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 4 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 10 ( 9 usr; 8 prp; 0-3 aty)
% Number of functors : 11 ( 11 usr; 5 con; 0-2 aty)
% Number of variables : 47 (; 47 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f4,negated_conjecture,
! [X31] : p2(X31,X31),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f7,negated_conjecture,
p2(c25,c28),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f27,negated_conjecture,
! [X40,X41,X42,X43] :
( p2(f12(X40,X41),f12(X42,X43))
| ~ p2(X40,X42)
| ~ p2(X41,X43) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f28,negated_conjecture,
! [X52,X53,X54,X55] :
( p2(f7(X52,X53),f7(X54,X55))
| ~ p2(X53,X55)
| ~ p2(X52,X54) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f29,negated_conjecture,
p14(f7(c22,f12(f8(c21,f3(f5(c20))),c25)),f3(f5(c20)),f6(c21)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f30,negated_conjecture,
~ p14(f7(c22,f12(f8(c21,f3(f5(c20))),c28)),f3(f5(c20)),f6(c21)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f31,negated_conjecture,
! [X7,X8,X9,X12,X11,X10] :
( p14(X7,X8,X9)
| ~ p2(X12,X9)
| ~ p2(X11,X8)
| ~ p2(X10,X7)
| ~ p14(X10,X11,X12) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f36,plain,
! [X0] : p2(X0,X0),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f39,plain,
p2(c25,c28),
inference(cnf_transformation,[status(esa)],[f7]) ).
fof(f68,plain,
! [X41,X43] :
( ! [X40,X42] :
( p2(f12(X40,X41),f12(X42,X43))
| ~ p2(X40,X42) )
| ~ p2(X41,X43) ),
inference(miniscoping,[status(esa)],[f27]) ).
fof(f69,plain,
! [X0,X1,X2,X3] :
( p2(f12(X0,X1),f12(X2,X3))
| ~ p2(X0,X2)
| ~ p2(X1,X3) ),
inference(cnf_transformation,[status(esa)],[f68]) ).
fof(f70,plain,
! [X52,X54] :
( ! [X53,X55] :
( p2(f7(X52,X53),f7(X54,X55))
| ~ p2(X53,X55) )
| ~ p2(X52,X54) ),
inference(miniscoping,[status(esa)],[f28]) ).
fof(f71,plain,
! [X0,X1,X2,X3] :
( p2(f7(X0,X1),f7(X2,X3))
| ~ p2(X1,X3)
| ~ p2(X0,X2) ),
inference(cnf_transformation,[status(esa)],[f70]) ).
fof(f72,plain,
p14(f7(c22,f12(f8(c21,f3(f5(c20))),c25)),f3(f5(c20)),f6(c21)),
inference(cnf_transformation,[status(esa)],[f29]) ).
fof(f73,plain,
~ p14(f7(c22,f12(f8(c21,f3(f5(c20))),c28)),f3(f5(c20)),f6(c21)),
inference(cnf_transformation,[status(esa)],[f30]) ).
fof(f74,plain,
! [X12,X11,X10] :
( ! [X7] :
( ! [X8] :
( ! [X9] :
( p14(X7,X8,X9)
| ~ p2(X12,X9) )
| ~ p2(X11,X8) )
| ~ p2(X10,X7) )
| ~ p14(X10,X11,X12) ),
inference(miniscoping,[status(esa)],[f31]) ).
fof(f75,plain,
! [X0,X1,X2,X3,X4,X5] :
( p14(X0,X1,X2)
| ~ p2(X3,X2)
| ~ p2(X4,X1)
| ~ p2(X5,X0)
| ~ p14(X5,X4,X3) ),
inference(cnf_transformation,[status(esa)],[f74]) ).
fof(f79,plain,
! [X0,X1,X2] :
( p14(X0,X1,X2)
| ~ p2(f6(c21),X2)
| ~ p2(f3(f5(c20)),X1)
| ~ p2(f7(c22,f12(f8(c21,f3(f5(c20))),c25)),X0) ),
inference(resolution,[status(thm)],[f72,f75]) ).
fof(f80,plain,
( spl0_0
<=> p2(f6(c21),f6(c21)) ),
introduced(split_symbol_definition) ).
fof(f82,plain,
( ~ p2(f6(c21),f6(c21))
| spl0_0 ),
inference(component_clause,[status(thm)],[f80]) ).
fof(f83,plain,
( spl0_1
<=> p2(f3(f5(c20)),f3(f5(c20))) ),
introduced(split_symbol_definition) ).
fof(f85,plain,
( ~ p2(f3(f5(c20)),f3(f5(c20)))
| spl0_1 ),
inference(component_clause,[status(thm)],[f83]) ).
fof(f92,plain,
( spl0_3
<=> p2(f7(c22,f12(f8(c21,f3(f5(c20))),c25)),f7(c22,f12(f8(c21,f3(f5(c20))),c28))) ),
introduced(split_symbol_definition) ).
fof(f94,plain,
( ~ p2(f7(c22,f12(f8(c21,f3(f5(c20))),c25)),f7(c22,f12(f8(c21,f3(f5(c20))),c28)))
| spl0_3 ),
inference(component_clause,[status(thm)],[f92]) ).
fof(f95,plain,
( ~ p2(f6(c21),f6(c21))
| ~ p2(f3(f5(c20)),f3(f5(c20)))
| ~ p2(f7(c22,f12(f8(c21,f3(f5(c20))),c25)),f7(c22,f12(f8(c21,f3(f5(c20))),c28))) ),
inference(resolution,[status(thm)],[f79,f73]) ).
fof(f96,plain,
( ~ spl0_0
| ~ spl0_1
| ~ spl0_3 ),
inference(split_clause,[status(thm)],[f95,f80,f83,f92]) ).
fof(f110,plain,
( $false
| spl0_1 ),
inference(forward_subsumption_resolution,[status(thm)],[f85,f36]) ).
fof(f111,plain,
spl0_1,
inference(contradiction_clause,[status(thm)],[f110]) ).
fof(f112,plain,
( $false
| spl0_0 ),
inference(forward_subsumption_resolution,[status(thm)],[f82,f36]) ).
fof(f113,plain,
spl0_0,
inference(contradiction_clause,[status(thm)],[f112]) ).
fof(f117,plain,
( spl0_8
<=> p2(c22,c22) ),
introduced(split_symbol_definition) ).
fof(f119,plain,
( ~ p2(c22,c22)
| spl0_8 ),
inference(component_clause,[status(thm)],[f117]) ).
fof(f123,plain,
( $false
| spl0_8 ),
inference(forward_subsumption_resolution,[status(thm)],[f119,f36]) ).
fof(f124,plain,
spl0_8,
inference(contradiction_clause,[status(thm)],[f123]) ).
fof(f154,plain,
( spl0_10
<=> p2(f12(f8(c21,f3(f5(c20))),c25),f12(f8(c21,f3(f5(c20))),c28)) ),
introduced(split_symbol_definition) ).
fof(f156,plain,
( ~ p2(f12(f8(c21,f3(f5(c20))),c25),f12(f8(c21,f3(f5(c20))),c28))
| spl0_10 ),
inference(component_clause,[status(thm)],[f154]) ).
fof(f157,plain,
( ~ p2(f12(f8(c21,f3(f5(c20))),c25),f12(f8(c21,f3(f5(c20))),c28))
| ~ p2(c22,c22)
| spl0_3 ),
inference(resolution,[status(thm)],[f94,f71]) ).
fof(f158,plain,
( ~ spl0_10
| ~ spl0_8
| spl0_3 ),
inference(split_clause,[status(thm)],[f157,f154,f117,f92]) ).
fof(f160,plain,
( spl0_11
<=> p2(f8(c21,f3(f5(c20))),f8(c21,f3(f5(c20)))) ),
introduced(split_symbol_definition) ).
fof(f162,plain,
( ~ p2(f8(c21,f3(f5(c20))),f8(c21,f3(f5(c20))))
| spl0_11 ),
inference(component_clause,[status(thm)],[f160]) ).
fof(f163,plain,
( spl0_12
<=> p2(c25,c28) ),
introduced(split_symbol_definition) ).
fof(f165,plain,
( ~ p2(c25,c28)
| spl0_12 ),
inference(component_clause,[status(thm)],[f163]) ).
fof(f166,plain,
( ~ p2(f8(c21,f3(f5(c20))),f8(c21,f3(f5(c20))))
| ~ p2(c25,c28)
| spl0_10 ),
inference(resolution,[status(thm)],[f156,f69]) ).
fof(f167,plain,
( ~ spl0_11
| ~ spl0_12
| spl0_10 ),
inference(split_clause,[status(thm)],[f166,f160,f163,f154]) ).
fof(f169,plain,
( $false
| spl0_11 ),
inference(forward_subsumption_resolution,[status(thm)],[f162,f36]) ).
fof(f170,plain,
spl0_11,
inference(contradiction_clause,[status(thm)],[f169]) ).
fof(f171,plain,
( $false
| spl0_12 ),
inference(forward_subsumption_resolution,[status(thm)],[f165,f39]) ).
fof(f172,plain,
spl0_12,
inference(contradiction_clause,[status(thm)],[f171]) ).
fof(f173,plain,
$false,
inference(sat_refutation,[status(thm)],[f96,f111,f113,f124,f158,f167,f170,f172]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.07 % Problem : SYN616-1 : TPTP v8.1.2. Released v2.5.0.
% 0.00/0.07 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.06/0.26 % Computer : n014.cluster.edu
% 0.06/0.26 % Model : x86_64 x86_64
% 0.06/0.26 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.26 % Memory : 8042.1875MB
% 0.06/0.26 % OS : Linux 3.10.0-693.el7.x86_64
% 0.06/0.26 % CPULimit : 300
% 0.06/0.26 % WCLimit : 300
% 0.06/0.26 % DateTime : Tue May 30 10:22:18 EDT 2023
% 0.06/0.26 % CPUTime :
% 0.06/0.26 % Drodi V3.5.1
% 0.06/0.27 % Refutation found
% 0.06/0.27 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.06/0.27 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.10/0.49 % Elapsed time: 0.012456 seconds
% 0.10/0.49 % CPU time: 0.053312 seconds
% 0.10/0.49 % Memory used: 9.021 MB
%------------------------------------------------------------------------------