TSTP Solution File: SYN568-1 by Drodi---3.6.0
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%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : SYN568-1 : 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 : Tue Apr 30 20:52:32 EDT 2024
% Result : Unsatisfiable 0.14s 0.37s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 9
% Syntax : Number of formulae : 29 ( 11 unt; 0 def)
% Number of atoms : 57 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 50 ( 22 ~; 26 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 6 ( 5 usr; 3 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 3 con; 0-2 aty)
% Number of variables : 28 ( 28 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3,negated_conjecture,
~ p11(f9(c13),f9(c14)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4,negated_conjecture,
! [X16] : p11(f5(f6(c12)),f9(X16)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f5,negated_conjecture,
! [X4,X5] :
( p10(X4,X5)
| p11(X5,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f6,negated_conjecture,
! [X4,X5] :
( ~ p10(X4,X5)
| ~ p11(X5,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f7,negated_conjecture,
~ p3(f6(f7(f8(c12))),f6(c12)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f18,negated_conjecture,
p11(f4(f9(c13),f6(f7(f8(c12)))),f4(f9(c14),f6(f7(f8(c12))))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f20,negated_conjecture,
! [X7,X6,X8] :
( p3(X7,f6(c12))
| p10(f4(X6,X7),f4(X8,X7))
| ~ p10(X6,X8)
| ~ p11(f5(f6(c12)),X6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f23,plain,
~ p11(f9(c13),f9(c14)),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f24,plain,
! [X0] : p11(f5(f6(c12)),f9(X0)),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f25,plain,
! [X0,X1] :
( p10(X0,X1)
| p11(X1,X0) ),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f26,plain,
! [X0,X1] :
( ~ p10(X0,X1)
| ~ p11(X1,X0) ),
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f27,plain,
~ p3(f6(f7(f8(c12))),f6(c12)),
inference(cnf_transformation,[status(esa)],[f7]) ).
fof(f43,plain,
p11(f4(f9(c13),f6(f7(f8(c12)))),f4(f9(c14),f6(f7(f8(c12))))),
inference(cnf_transformation,[status(esa)],[f18]) ).
fof(f46,plain,
! [X6] :
( ! [X8] :
( ! [X7] :
( p3(X7,f6(c12))
| p10(f4(X6,X7),f4(X8,X7)) )
| ~ p10(X6,X8) )
| ~ p11(f5(f6(c12)),X6) ),
inference(miniscoping,[status(esa)],[f20]) ).
fof(f47,plain,
! [X0,X1,X2] :
( p3(X0,f6(c12))
| p10(f4(X1,X0),f4(X2,X0))
| ~ p10(X1,X2)
| ~ p11(f5(f6(c12)),X1) ),
inference(cnf_transformation,[status(esa)],[f46]) ).
fof(f73,plain,
! [X0,X1,X2] :
( p3(X0,f6(c12))
| p10(f4(X1,X0),f4(X2,X0))
| ~ p11(f5(f6(c12)),X1)
| p11(X2,X1) ),
inference(resolution,[status(thm)],[f47,f25]) ).
fof(f74,plain,
! [X0,X1,X2] :
( p3(X0,f6(c12))
| p10(f4(f9(X1),X0),f4(X2,X0))
| p11(X2,f9(X1)) ),
inference(resolution,[status(thm)],[f73,f24]) ).
fof(f76,plain,
! [X0,X1,X2] :
( p3(X0,f6(c12))
| p11(X1,f9(X2))
| ~ p11(f4(X1,X0),f4(f9(X2),X0)) ),
inference(resolution,[status(thm)],[f74,f26]) ).
fof(f77,plain,
( spl0_4
<=> p3(f6(f7(f8(c12))),f6(c12)) ),
introduced(split_symbol_definition) ).
fof(f78,plain,
( p3(f6(f7(f8(c12))),f6(c12))
| ~ spl0_4 ),
inference(component_clause,[status(thm)],[f77]) ).
fof(f80,plain,
( spl0_5
<=> p11(f9(c13),f9(c14)) ),
introduced(split_symbol_definition) ).
fof(f81,plain,
( p11(f9(c13),f9(c14))
| ~ spl0_5 ),
inference(component_clause,[status(thm)],[f80]) ).
fof(f83,plain,
( p3(f6(f7(f8(c12))),f6(c12))
| p11(f9(c13),f9(c14)) ),
inference(resolution,[status(thm)],[f76,f43]) ).
fof(f84,plain,
( spl0_4
| spl0_5 ),
inference(split_clause,[status(thm)],[f83,f77,f80]) ).
fof(f85,plain,
( $false
| ~ spl0_4 ),
inference(forward_subsumption_resolution,[status(thm)],[f78,f27]) ).
fof(f86,plain,
~ spl0_4,
inference(contradiction_clause,[status(thm)],[f85]) ).
fof(f87,plain,
( $false
| ~ spl0_5 ),
inference(forward_subsumption_resolution,[status(thm)],[f81,f23]) ).
fof(f88,plain,
~ spl0_5,
inference(contradiction_clause,[status(thm)],[f87]) ).
fof(f89,plain,
$false,
inference(sat_refutation,[status(thm)],[f84,f86,f88]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : SYN568-1 : TPTP v8.1.2. Released v2.5.0.
% 0.04/0.14 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.14/0.35 % Computer : n022.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Mon Apr 29 21:58:58 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.36 % Drodi V3.6.0
% 0.14/0.37 % Refutation found
% 0.14/0.37 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.14/0.37 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.21/0.38 % Elapsed time: 0.020021 seconds
% 0.21/0.38 % CPU time: 0.050716 seconds
% 0.21/0.38 % Total memory used: 2.530 MB
% 0.21/0.38 % Net memory used: 2.500 MB
%------------------------------------------------------------------------------