TSTP Solution File: SYN626-1 by Drodi---3.5.1
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%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : SYN626-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n022.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 0.06s 0.28s
% Output : CNFRefutation 0.06s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 10
% Syntax : Number of formulae : 36 ( 13 unt; 0 def)
% Number of atoms : 70 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 70 ( 36 ~; 32 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 7 ( 6 usr; 3 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 4 con; 0-2 aty)
% Number of variables : 37 (; 37 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,negated_conjecture,
! [X54] : p7(X54,X54),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f3,negated_conjecture,
! [X47] : p6(X47,X47),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f8,negated_conjecture,
! [X14,X15] :
( p16(X14,X15)
| ~ p15(X14,X15) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f9,negated_conjecture,
p15(c22,f8(f5(c20),f9(c23,c24))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f15,negated_conjecture,
! [X20] :
( p7(f12(f13(X20)),X20)
| ~ p16(c22,X20) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f17,negated_conjecture,
! [X55,X56,X54] :
( p7(X55,X56)
| ~ p7(X54,X55)
| ~ p7(X54,X56) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f24,negated_conjecture,
~ p15(c22,f12(f13(f8(f5(c20),f9(c23,c24))))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f31,negated_conjecture,
! [X10,X11,X12,X13] :
( p15(X10,X11)
| ~ p6(X12,X10)
| ~ p7(X13,X11)
| ~ p15(X12,X13) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f37,plain,
! [X0] : p7(X0,X0),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f38,plain,
! [X0] : p6(X0,X0),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f43,plain,
! [X0,X1] :
( p16(X0,X1)
| ~ p15(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f8]) ).
fof(f44,plain,
p15(c22,f8(f5(c20),f9(c23,c24))),
inference(cnf_transformation,[status(esa)],[f9]) ).
fof(f50,plain,
! [X0] :
( p7(f12(f13(X0)),X0)
| ~ p16(c22,X0) ),
inference(cnf_transformation,[status(esa)],[f15]) ).
fof(f53,plain,
! [X56,X54] :
( ! [X55] :
( p7(X55,X56)
| ~ p7(X54,X55) )
| ~ p7(X54,X56) ),
inference(miniscoping,[status(esa)],[f17]) ).
fof(f54,plain,
! [X0,X1,X2] :
( p7(X0,X1)
| ~ p7(X2,X0)
| ~ p7(X2,X1) ),
inference(cnf_transformation,[status(esa)],[f53]) ).
fof(f64,plain,
~ p15(c22,f12(f13(f8(f5(c20),f9(c23,c24))))),
inference(cnf_transformation,[status(esa)],[f24]) ).
fof(f76,plain,
! [X12,X13] :
( ! [X11] :
( ! [X10] :
( p15(X10,X11)
| ~ p6(X12,X10) )
| ~ p7(X13,X11) )
| ~ p15(X12,X13) ),
inference(miniscoping,[status(esa)],[f31]) ).
fof(f77,plain,
! [X0,X1,X2,X3] :
( p15(X0,X1)
| ~ p6(X2,X0)
| ~ p7(X3,X1)
| ~ p15(X2,X3) ),
inference(cnf_transformation,[status(esa)],[f76]) ).
fof(f85,plain,
p16(c22,f8(f5(c20),f9(c23,c24))),
inference(resolution,[status(thm)],[f44,f43]) ).
fof(f87,plain,
! [X0,X1] :
( p15(X0,X1)
| ~ p6(c22,X0)
| ~ p7(f8(f5(c20),f9(c23,c24)),X1) ),
inference(resolution,[status(thm)],[f77,f44]) ).
fof(f103,plain,
( spl0_4
<=> p16(c22,f8(f5(c20),f9(c23,c24))) ),
introduced(split_symbol_definition) ).
fof(f105,plain,
( ~ p16(c22,f8(f5(c20),f9(c23,c24)))
| spl0_4 ),
inference(component_clause,[status(thm)],[f103]) ).
fof(f108,plain,
( $false
| spl0_4 ),
inference(forward_subsumption_resolution,[status(thm)],[f105,f85]) ).
fof(f109,plain,
spl0_4,
inference(contradiction_clause,[status(thm)],[f108]) ).
fof(f134,plain,
( spl0_6
<=> p7(f12(f13(f8(f5(c20),f9(c23,c24)))),f8(f5(c20),f9(c23,c24))) ),
introduced(split_symbol_definition) ).
fof(f135,plain,
( p7(f12(f13(f8(f5(c20),f9(c23,c24)))),f8(f5(c20),f9(c23,c24)))
| ~ spl0_6 ),
inference(component_clause,[status(thm)],[f134]) ).
fof(f136,plain,
( ~ p7(f12(f13(f8(f5(c20),f9(c23,c24)))),f8(f5(c20),f9(c23,c24)))
| spl0_6 ),
inference(component_clause,[status(thm)],[f134]) ).
fof(f175,plain,
( ~ p16(c22,f8(f5(c20),f9(c23,c24)))
| spl0_6 ),
inference(resolution,[status(thm)],[f136,f50]) ).
fof(f176,plain,
( ~ spl0_4
| spl0_6 ),
inference(split_clause,[status(thm)],[f175,f103,f134]) ).
fof(f208,plain,
! [X0] :
( p15(c22,X0)
| ~ p7(f8(f5(c20),f9(c23,c24)),X0) ),
inference(resolution,[status(thm)],[f87,f38]) ).
fof(f210,plain,
! [X0,X1] :
( p15(c22,X0)
| ~ p7(X1,f8(f5(c20),f9(c23,c24)))
| ~ p7(X1,X0) ),
inference(resolution,[status(thm)],[f208,f54]) ).
fof(f215,plain,
! [X0] :
( ~ p7(X0,f8(f5(c20),f9(c23,c24)))
| ~ p7(X0,f12(f13(f8(f5(c20),f9(c23,c24))))) ),
inference(resolution,[status(thm)],[f210,f64]) ).
fof(f292,plain,
~ p7(f12(f13(f8(f5(c20),f9(c23,c24)))),f8(f5(c20),f9(c23,c24))),
inference(resolution,[status(thm)],[f215,f37]) ).
fof(f293,plain,
( $false
| ~ spl0_6 ),
inference(forward_subsumption_resolution,[status(thm)],[f292,f135]) ).
fof(f294,plain,
~ spl0_6,
inference(contradiction_clause,[status(thm)],[f293]) ).
fof(f295,plain,
$false,
inference(sat_refutation,[status(thm)],[f109,f176,f294]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.07 % Problem : SYN626-1 : TPTP v8.1.2. Released v2.5.0.
% 0.00/0.08 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.06/0.26 % Computer : n022.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 10:23:12 EDT 2023
% 0.06/0.26 % CPUTime :
% 0.06/0.27 % Drodi V3.5.1
% 0.06/0.28 % Refutation found
% 0.06/0.28 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.06/0.28 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.10/0.49 % Elapsed time: 0.015222 seconds
% 0.10/0.49 % CPU time: 0.057952 seconds
% 0.10/0.49 % Memory used: 2.708 MB
%------------------------------------------------------------------------------