TSTP Solution File: FLD043-3 by Drodi---3.6.0
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%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : FLD043-3 : TPTP v8.1.2. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n024.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 20:16:28 EDT 2024
% Result : Unsatisfiable 0.14s 0.49s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 8
% Syntax : Number of formulae : 28 ( 13 unt; 0 def)
% Number of atoms : 62 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 70 ( 36 ~; 34 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-1 aty)
% Number of variables : 54 ( 54 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
! [U,Z,W,X,Y,V] :
( sum(U,Z,W)
| ~ sum(X,Y,U)
| ~ sum(Y,Z,V)
| ~ sum(X,V,W) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f3,axiom,
! [X] :
( sum(additive_identity,X,X)
| ~ defined(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f4,axiom,
! [X] :
( sum(additive_inverse(X),X,additive_identity)
| ~ defined(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f11,axiom,
! [C,D,B,X,Y,A,Z] :
( sum(C,D,B)
| ~ sum(X,Y,A)
| ~ product(A,Z,B)
| ~ product(X,Z,C)
| ~ product(Y,Z,D) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f14,axiom,
defined(additive_identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f28,hypothesis,
defined(b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f29,negated_conjecture,
product(additive_identity,a,b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f30,negated_conjecture,
~ sum(additive_identity,b,additive_identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f33,plain,
! [W,X,V] :
( ! [Z,Y] :
( ! [U] :
( sum(U,Z,W)
| ~ sum(X,Y,U) )
| ~ sum(Y,Z,V) )
| ~ sum(X,V,W) ),
inference(miniscoping,[status(esa)],[f2]) ).
fof(f34,plain,
! [X0,X1,X2,X3,X4,X5] :
( sum(X0,X1,X2)
| ~ sum(X3,X4,X0)
| ~ sum(X4,X1,X5)
| ~ sum(X3,X5,X2) ),
inference(cnf_transformation,[status(esa)],[f33]) ).
fof(f35,plain,
! [X0] :
( sum(additive_identity,X0,X0)
| ~ defined(X0) ),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f36,plain,
! [X0] :
( sum(additive_inverse(X0),X0,additive_identity)
| ~ defined(X0) ),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f45,plain,
! [D,Y,Z] :
( ! [C,X] :
( ! [B,A] :
( sum(C,D,B)
| ~ sum(X,Y,A)
| ~ product(A,Z,B) )
| ~ product(X,Z,C) )
| ~ product(Y,Z,D) ),
inference(miniscoping,[status(esa)],[f11]) ).
fof(f46,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( sum(X0,X1,X2)
| ~ sum(X3,X4,X5)
| ~ product(X5,X6,X2)
| ~ product(X3,X6,X0)
| ~ product(X4,X6,X1) ),
inference(cnf_transformation,[status(esa)],[f45]) ).
fof(f51,plain,
defined(additive_identity),
inference(cnf_transformation,[status(esa)],[f14]) ).
fof(f71,plain,
defined(b),
inference(cnf_transformation,[status(esa)],[f28]) ).
fof(f72,plain,
product(additive_identity,a,b),
inference(cnf_transformation,[status(esa)],[f29]) ).
fof(f73,plain,
~ sum(additive_identity,b,additive_identity),
inference(cnf_transformation,[status(esa)],[f30]) ).
fof(f76,plain,
sum(additive_identity,additive_identity,additive_identity),
inference(resolution,[status(thm)],[f35,f51]) ).
fof(f100,plain,
sum(additive_inverse(b),b,additive_identity),
inference(resolution,[status(thm)],[f36,f71]) ).
fof(f177,plain,
! [X0,X1,X2,X3] :
( sum(X0,X1,X2)
| ~ product(additive_identity,X3,X2)
| ~ product(additive_identity,X3,X0)
| ~ product(additive_identity,X3,X1) ),
inference(resolution,[status(thm)],[f46,f76]) ).
fof(f231,plain,
! [X0,X1] :
( sum(X0,X1,b)
| ~ product(additive_identity,a,X0)
| ~ product(additive_identity,a,X1) ),
inference(resolution,[status(thm)],[f177,f72]) ).
fof(f232,plain,
! [X0] :
( sum(b,X0,b)
| ~ product(additive_identity,a,X0) ),
inference(resolution,[status(thm)],[f231,f72]) ).
fof(f233,plain,
sum(b,b,b),
inference(resolution,[status(thm)],[f232,f72]) ).
fof(f951,plain,
! [X0,X1,X2] :
( sum(additive_identity,X0,X1)
| ~ sum(b,X0,X2)
| ~ sum(additive_inverse(b),X2,X1) ),
inference(resolution,[status(thm)],[f100,f34]) ).
fof(f965,plain,
! [X0] :
( sum(additive_identity,b,X0)
| ~ sum(additive_inverse(b),b,X0) ),
inference(resolution,[status(thm)],[f951,f233]) ).
fof(f967,plain,
sum(additive_identity,b,additive_identity),
inference(resolution,[status(thm)],[f965,f100]) ).
fof(f968,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f967,f73]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.11 % Problem : FLD043-3 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.02/0.11 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.07/0.31 % Computer : n024.cluster.edu
% 0.07/0.31 % Model : x86_64 x86_64
% 0.07/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.31 % Memory : 8042.1875MB
% 0.07/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.07/0.31 % CPULimit : 300
% 0.07/0.31 % WCLimit : 300
% 0.07/0.31 % DateTime : Mon Apr 29 23:18:51 EDT 2024
% 0.07/0.31 % CPUTime :
% 0.07/0.32 % Drodi V3.6.0
% 0.14/0.49 % Refutation found
% 0.14/0.49 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.14/0.49 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.14/0.50 % Elapsed time: 0.180020 seconds
% 0.14/0.50 % CPU time: 1.282872 seconds
% 0.14/0.50 % Total memory used: 21.731 MB
% 0.14/0.50 % Net memory used: 20.859 MB
%------------------------------------------------------------------------------