TSTP Solution File: FLD013-5 by Drodi---3.5.1
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%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : FLD013-5 : TPTP v8.1.2. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n027.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 12:06:51 EDT 2023
% Result : Unsatisfiable 0.19s 0.45s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 11
% Syntax : Number of formulae : 37 ( 15 unt; 0 def)
% Number of atoms : 71 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 75 ( 41 ~; 32 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 3 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 7 con; 0-0 aty)
% Number of variables : 44 (; 44 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X,V,W,Y,U,Z] :
( sum(X,V,W)
| ~ sum(X,Y,U)
| ~ sum(Y,Z,V)
| ~ sum(U,Z,W) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f3,axiom,
! [X] :
( sum(additive_identity,X,X)
| ~ defined(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f5,axiom,
! [Y,X,Z] :
( sum(Y,X,Z)
| ~ sum(X,Y,Z) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f29,hypothesis,
defined(c),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f33,negated_conjecture,
sum(additive_identity,a,b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f34,negated_conjecture,
sum(additive_identity,c,d),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f35,negated_conjecture,
sum(a,c,u),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f36,negated_conjecture,
sum(d,b,v),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f37,negated_conjecture,
~ sum(additive_identity,u,v),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f38,plain,
! [W,U,Z] :
( ! [V,Y] :
( ! [X] :
( sum(X,V,W)
| ~ sum(X,Y,U) )
| ~ sum(Y,Z,V) )
| ~ sum(U,Z,W) ),
inference(miniscoping,[status(esa)],[f1]) ).
fof(f39,plain,
! [X0,X1,X2,X3,X4,X5] :
( sum(X0,X1,X2)
| ~ sum(X0,X3,X4)
| ~ sum(X3,X5,X1)
| ~ sum(X4,X5,X2) ),
inference(cnf_transformation,[status(esa)],[f38]) ).
fof(f42,plain,
! [X0] :
( sum(additive_identity,X0,X0)
| ~ defined(X0) ),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f44,plain,
! [X0,X1,X2] :
( sum(X0,X1,X2)
| ~ sum(X1,X0,X2) ),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f79,plain,
defined(c),
inference(cnf_transformation,[status(esa)],[f29]) ).
fof(f83,plain,
sum(additive_identity,a,b),
inference(cnf_transformation,[status(esa)],[f33]) ).
fof(f84,plain,
sum(additive_identity,c,d),
inference(cnf_transformation,[status(esa)],[f34]) ).
fof(f85,plain,
sum(a,c,u),
inference(cnf_transformation,[status(esa)],[f35]) ).
fof(f86,plain,
sum(d,b,v),
inference(cnf_transformation,[status(esa)],[f36]) ).
fof(f87,plain,
~ sum(additive_identity,u,v),
inference(cnf_transformation,[status(esa)],[f37]) ).
fof(f88,plain,
! [X0,X1,X2] :
( ~ sum(additive_identity,X0,X1)
| ~ sum(X0,X2,u)
| ~ sum(X1,X2,v) ),
inference(resolution,[status(thm)],[f39,f87]) ).
fof(f89,plain,
! [X0] :
( ~ sum(additive_identity,X0,d)
| ~ sum(X0,b,u) ),
inference(resolution,[status(thm)],[f88,f86]) ).
fof(f101,plain,
! [X0,X1,X2,X3] :
( ~ sum(additive_identity,X0,d)
| ~ sum(X0,X1,X2)
| ~ sum(X1,X3,b)
| ~ sum(X2,X3,u) ),
inference(resolution,[status(thm)],[f89,f39]) ).
fof(f187,plain,
! [X0,X1,X2] :
( ~ sum(c,X0,X1)
| ~ sum(X0,X2,b)
| ~ sum(X1,X2,u) ),
inference(resolution,[status(thm)],[f101,f84]) ).
fof(f201,plain,
! [X0,X1,X2] :
( ~ sum(X0,X1,b)
| ~ sum(X2,X1,u)
| ~ sum(X0,c,X2) ),
inference(resolution,[status(thm)],[f187,f44]) ).
fof(f210,plain,
! [X0,X1,X2] :
( ~ sum(X0,X1,b)
| ~ sum(X0,c,X2)
| ~ sum(X1,X2,u) ),
inference(resolution,[status(thm)],[f201,f44]) ).
fof(f393,plain,
! [X0] :
( ~ sum(X0,a,b)
| ~ sum(X0,c,c) ),
inference(resolution,[status(thm)],[f210,f85]) ).
fof(f402,plain,
( spl0_27
<=> sum(additive_identity,a,b) ),
introduced(split_symbol_definition) ).
fof(f404,plain,
( ~ sum(additive_identity,a,b)
| spl0_27 ),
inference(component_clause,[status(thm)],[f402]) ).
fof(f405,plain,
( spl0_28
<=> defined(c) ),
introduced(split_symbol_definition) ).
fof(f407,plain,
( ~ defined(c)
| spl0_28 ),
inference(component_clause,[status(thm)],[f405]) ).
fof(f408,plain,
( ~ sum(additive_identity,a,b)
| ~ defined(c) ),
inference(resolution,[status(thm)],[f393,f42]) ).
fof(f409,plain,
( ~ spl0_27
| ~ spl0_28 ),
inference(split_clause,[status(thm)],[f408,f402,f405]) ).
fof(f413,plain,
( $false
| spl0_27 ),
inference(forward_subsumption_resolution,[status(thm)],[f404,f83]) ).
fof(f414,plain,
spl0_27,
inference(contradiction_clause,[status(thm)],[f413]) ).
fof(f415,plain,
( $false
| spl0_28 ),
inference(forward_subsumption_resolution,[status(thm)],[f407,f79]) ).
fof(f416,plain,
spl0_28,
inference(contradiction_clause,[status(thm)],[f415]) ).
fof(f417,plain,
$false,
inference(sat_refutation,[status(thm)],[f409,f414,f416]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : FLD013-5 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.07/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.12/0.34 % Computer : n027.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 11:20:03 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.12/0.35 % Drodi V3.5.1
% 0.19/0.45 % Refutation found
% 0.19/0.45 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.19/0.45 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.19/0.48 % Elapsed time: 0.131366 seconds
% 0.19/0.48 % CPU time: 0.354410 seconds
% 0.19/0.48 % Memory used: 6.758 MB
%------------------------------------------------------------------------------