TSTP Solution File: SYN618-1 by Drodi---3.5.1
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%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : SYN618-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n002.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 0.12s 0.38s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 14
% Syntax : Number of formulae : 49 ( 21 unt; 0 def)
% Number of atoms : 92 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 84 ( 41 ~; 40 |; 0 &)
% ( 3 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 7 ( 6 usr; 4 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 7 con; 0-2 aty)
% Number of variables : 46 (; 46 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3,negated_conjecture,
! [X34] : p5(X34,X34),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f5,negated_conjecture,
! [X24] : p2(X24,X24),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f8,negated_conjecture,
p13(c23,c21),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f9,negated_conjecture,
p13(c19,c23),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f12,negated_conjecture,
p2(c17,f3(c16)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f16,negated_conjecture,
p5(f8(f3(c16),c23),f6(f7(c22))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f17,negated_conjecture,
~ p5(f8(f3(c16),c20),f6(f7(c22))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f22,negated_conjecture,
! [X35,X36,X34] :
( p5(X35,X36)
| ~ p5(X34,X35)
| ~ p5(X34,X36) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f24,negated_conjecture,
! [X25,X26,X24] :
( p2(X25,X26)
| ~ p2(X24,X25)
| ~ p2(X24,X26) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f30,negated_conjecture,
! [X40,X41,X42,X43] :
( p5(f8(X40,X41),f8(X42,X43))
| ~ p2(X40,X42)
| ~ p5(X41,X43) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f31,negated_conjecture,
! [X37] :
( p5(X37,c20)
| ~ p13(X37,c21)
| ~ p13(c19,X37)
| ~ p5(f8(c17,X37),f6(f7(c22))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f36,plain,
! [X0] : p5(X0,X0),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f38,plain,
! [X0] : p2(X0,X0),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f41,plain,
p13(c23,c21),
inference(cnf_transformation,[status(esa)],[f8]) ).
fof(f42,plain,
p13(c19,c23),
inference(cnf_transformation,[status(esa)],[f9]) ).
fof(f45,plain,
p2(c17,f3(c16)),
inference(cnf_transformation,[status(esa)],[f12]) ).
fof(f49,plain,
p5(f8(f3(c16),c23),f6(f7(c22))),
inference(cnf_transformation,[status(esa)],[f16]) ).
fof(f50,plain,
~ p5(f8(f3(c16),c20),f6(f7(c22))),
inference(cnf_transformation,[status(esa)],[f17]) ).
fof(f56,plain,
! [X36,X34] :
( ! [X35] :
( p5(X35,X36)
| ~ p5(X34,X35) )
| ~ p5(X34,X36) ),
inference(miniscoping,[status(esa)],[f22]) ).
fof(f57,plain,
! [X0,X1,X2] :
( p5(X0,X1)
| ~ p5(X2,X0)
| ~ p5(X2,X1) ),
inference(cnf_transformation,[status(esa)],[f56]) ).
fof(f60,plain,
! [X26,X24] :
( ! [X25] :
( p2(X25,X26)
| ~ p2(X24,X25) )
| ~ p2(X24,X26) ),
inference(miniscoping,[status(esa)],[f24]) ).
fof(f61,plain,
! [X0,X1,X2] :
( p2(X0,X1)
| ~ p2(X2,X0)
| ~ p2(X2,X1) ),
inference(cnf_transformation,[status(esa)],[f60]) ).
fof(f72,plain,
! [X41,X43] :
( ! [X40,X42] :
( p5(f8(X40,X41),f8(X42,X43))
| ~ p2(X40,X42) )
| ~ p5(X41,X43) ),
inference(miniscoping,[status(esa)],[f30]) ).
fof(f73,plain,
! [X0,X1,X2,X3] :
( p5(f8(X0,X1),f8(X2,X3))
| ~ p2(X0,X2)
| ~ p5(X1,X3) ),
inference(cnf_transformation,[status(esa)],[f72]) ).
fof(f74,plain,
! [X0] :
( p5(X0,c20)
| ~ p13(X0,c21)
| ~ p13(c19,X0)
| ~ p5(f8(c17,X0),f6(f7(c22))) ),
inference(cnf_transformation,[status(esa)],[f31]) ).
fof(f99,plain,
! [X0] :
( p5(X0,f6(f7(c22)))
| ~ p5(f8(f3(c16),c23),X0) ),
inference(resolution,[status(thm)],[f57,f49]) ).
fof(f108,plain,
! [X0,X1] :
( p2(X0,X1)
| ~ p2(X1,X0) ),
inference(resolution,[status(thm)],[f61,f38]) ).
fof(f109,plain,
p2(f3(c16),c17),
inference(resolution,[status(thm)],[f108,f45]) ).
fof(f164,plain,
! [X0,X1] :
( p5(f8(f3(c16),X0),f8(c17,X1))
| ~ p5(X0,X1) ),
inference(resolution,[status(thm)],[f73,f109]) ).
fof(f166,plain,
! [X0,X1,X2] :
( p5(f8(X0,X1),f8(X0,X2))
| ~ p5(X1,X2) ),
inference(resolution,[status(thm)],[f73,f38]) ).
fof(f241,plain,
! [X0] : p5(f8(f3(c16),X0),f8(c17,X0)),
inference(resolution,[status(thm)],[f164,f36]) ).
fof(f242,plain,
p5(f8(c17,c23),f6(f7(c22))),
inference(resolution,[status(thm)],[f241,f99]) ).
fof(f249,plain,
( spl0_11
<=> p5(c23,c20) ),
introduced(split_symbol_definition) ).
fof(f250,plain,
( p5(c23,c20)
| ~ spl0_11 ),
inference(component_clause,[status(thm)],[f249]) ).
fof(f252,plain,
( spl0_12
<=> p13(c23,c21) ),
introduced(split_symbol_definition) ).
fof(f254,plain,
( ~ p13(c23,c21)
| spl0_12 ),
inference(component_clause,[status(thm)],[f252]) ).
fof(f255,plain,
( spl0_13
<=> p13(c19,c23) ),
introduced(split_symbol_definition) ).
fof(f257,plain,
( ~ p13(c19,c23)
| spl0_13 ),
inference(component_clause,[status(thm)],[f255]) ).
fof(f258,plain,
( p5(c23,c20)
| ~ p13(c23,c21)
| ~ p13(c19,c23) ),
inference(resolution,[status(thm)],[f242,f74]) ).
fof(f259,plain,
( spl0_11
| ~ spl0_12
| ~ spl0_13 ),
inference(split_clause,[status(thm)],[f258,f249,f252,f255]) ).
fof(f266,plain,
( $false
| spl0_13 ),
inference(forward_subsumption_resolution,[status(thm)],[f257,f42]) ).
fof(f267,plain,
spl0_13,
inference(contradiction_clause,[status(thm)],[f266]) ).
fof(f268,plain,
( $false
| spl0_12 ),
inference(forward_subsumption_resolution,[status(thm)],[f254,f41]) ).
fof(f269,plain,
spl0_12,
inference(contradiction_clause,[status(thm)],[f268]) ).
fof(f402,plain,
! [X0] :
( p5(f8(X0,c23),f8(X0,c20))
| ~ spl0_11 ),
inference(resolution,[status(thm)],[f250,f166]) ).
fof(f442,plain,
( p5(f8(f3(c16),c20),f6(f7(c22)))
| ~ spl0_11 ),
inference(resolution,[status(thm)],[f402,f99]) ).
fof(f443,plain,
( $false
| ~ spl0_11 ),
inference(forward_subsumption_resolution,[status(thm)],[f442,f50]) ).
fof(f444,plain,
~ spl0_11,
inference(contradiction_clause,[status(thm)],[f443]) ).
fof(f445,plain,
$false,
inference(sat_refutation,[status(thm)],[f259,f267,f269,f444]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SYN618-1 : TPTP v8.1.2. Released v2.5.0.
% 0.07/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.12/0.34 % Computer : n002.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Tue May 30 10:40:28 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.12/0.35 % Drodi V3.5.1
% 0.12/0.38 % Refutation found
% 0.12/0.38 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.12/0.38 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.19/0.44 % Elapsed time: 0.092820 seconds
% 0.19/0.44 % CPU time: 0.060783 seconds
% 0.19/0.44 % Memory used: 3.113 MB
%------------------------------------------------------------------------------