TSTP Solution File: FLD066-3 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : FLD066-3 : TPTP v8.1.2. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n029.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 12:07:08 EDT 2023
% Result : Unsatisfiable 3.06s 0.78s
% Output : CNFRefutation 3.06s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 12
% Syntax : Number of formulae : 42 ( 24 unt; 0 def)
% Number of atoms : 75 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 68 ( 35 ~; 33 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 6 con; 0-1 aty)
% Number of variables : 55 (; 55 !; 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(f5,axiom,
! [Y,X,Z] :
( sum(Y,X,Z)
| ~ sum(X,Y,Z) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f24,axiom,
! [U,V,X,Y,Z] :
( less_or_equal(U,V)
| ~ less_or_equal(X,Y)
| ~ sum(X,Z,U)
| ~ sum(Y,Z,V) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f27,hypothesis,
defined(a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f28,hypothesis,
defined(b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f29,hypothesis,
defined(c),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f32,negated_conjecture,
sum(a,c,u),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f33,negated_conjecture,
sum(b,c,v),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f34,negated_conjecture,
less_or_equal(u,v),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f35,negated_conjecture,
~ less_or_equal(a,b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f38,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(f39,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)],[f38]) ).
fof(f40,plain,
! [X0] :
( sum(additive_identity,X0,X0)
| ~ defined(X0) ),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f41,plain,
! [X0] :
( sum(additive_inverse(X0),X0,additive_identity)
| ~ defined(X0) ),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f42,plain,
! [X0,X1,X2] :
( sum(X0,X1,X2)
| ~ sum(X1,X0,X2) ),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f71,plain,
! [V,Y,Z] :
( ! [U,X] :
( less_or_equal(U,V)
| ~ less_or_equal(X,Y)
| ~ sum(X,Z,U) )
| ~ sum(Y,Z,V) ),
inference(miniscoping,[status(esa)],[f24]) ).
fof(f72,plain,
! [X0,X1,X2,X3,X4] :
( less_or_equal(X0,X1)
| ~ less_or_equal(X2,X3)
| ~ sum(X2,X4,X0)
| ~ sum(X3,X4,X1) ),
inference(cnf_transformation,[status(esa)],[f71]) ).
fof(f75,plain,
defined(a),
inference(cnf_transformation,[status(esa)],[f27]) ).
fof(f76,plain,
defined(b),
inference(cnf_transformation,[status(esa)],[f28]) ).
fof(f77,plain,
defined(c),
inference(cnf_transformation,[status(esa)],[f29]) ).
fof(f80,plain,
sum(a,c,u),
inference(cnf_transformation,[status(esa)],[f32]) ).
fof(f81,plain,
sum(b,c,v),
inference(cnf_transformation,[status(esa)],[f33]) ).
fof(f82,plain,
less_or_equal(u,v),
inference(cnf_transformation,[status(esa)],[f34]) ).
fof(f83,plain,
~ less_or_equal(a,b),
inference(cnf_transformation,[status(esa)],[f35]) ).
fof(f100,plain,
! [X0,X1,X2] :
( sum(v,X0,X1)
| ~ sum(c,X0,X2)
| ~ sum(b,X2,X1) ),
inference(resolution,[status(thm)],[f39,f81]) ).
fof(f101,plain,
! [X0,X1,X2] :
( sum(u,X0,X1)
| ~ sum(c,X0,X2)
| ~ sum(a,X2,X1) ),
inference(resolution,[status(thm)],[f39,f80]) ).
fof(f102,plain,
! [X0,X1,X2] :
( less_or_equal(X0,X1)
| ~ sum(u,X2,X0)
| ~ sum(v,X2,X1) ),
inference(resolution,[status(thm)],[f72,f82]) ).
fof(f141,plain,
sum(additive_identity,b,b),
inference(resolution,[status(thm)],[f40,f76]) ).
fof(f142,plain,
sum(additive_identity,a,a),
inference(resolution,[status(thm)],[f40,f75]) ).
fof(f164,plain,
sum(additive_inverse(c),c,additive_identity),
inference(resolution,[status(thm)],[f41,f77]) ).
fof(f180,plain,
sum(b,additive_identity,b),
inference(resolution,[status(thm)],[f141,f42]) ).
fof(f183,plain,
sum(a,additive_identity,a),
inference(resolution,[status(thm)],[f142,f42]) ).
fof(f446,plain,
sum(c,additive_inverse(c),additive_identity),
inference(resolution,[status(thm)],[f164,f42]) ).
fof(f757,plain,
! [X0] :
( sum(u,additive_inverse(c),X0)
| ~ sum(a,additive_identity,X0) ),
inference(resolution,[status(thm)],[f446,f101]) ).
fof(f758,plain,
! [X0] :
( sum(v,additive_inverse(c),X0)
| ~ sum(b,additive_identity,X0) ),
inference(resolution,[status(thm)],[f446,f100]) ).
fof(f2656,plain,
sum(u,additive_inverse(c),a),
inference(resolution,[status(thm)],[f757,f183]) ).
fof(f2659,plain,
! [X0] :
( less_or_equal(a,X0)
| ~ sum(v,additive_inverse(c),X0) ),
inference(resolution,[status(thm)],[f2656,f102]) ).
fof(f2670,plain,
sum(v,additive_inverse(c),b),
inference(resolution,[status(thm)],[f758,f180]) ).
fof(f4728,plain,
less_or_equal(a,b),
inference(resolution,[status(thm)],[f2670,f2659]) ).
fof(f4729,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f4728,f83]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.10 % Problem : FLD066-3 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.02/0.11 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.09/0.31 % Computer : n029.cluster.edu
% 0.09/0.31 % Model : x86_64 x86_64
% 0.09/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.31 % Memory : 8042.1875MB
% 0.09/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.31 % CPULimit : 300
% 0.09/0.31 % WCLimit : 300
% 0.09/0.31 % DateTime : Tue May 30 11:16:21 EDT 2023
% 0.09/0.31 % CPUTime :
% 0.15/0.31 % Drodi V3.5.1
% 3.06/0.78 % Refutation found
% 3.06/0.78 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 3.06/0.78 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 3.06/0.81 % Elapsed time: 0.482423 seconds
% 3.06/0.81 % CPU time: 3.355107 seconds
% 3.06/0.81 % Memory used: 28.823 MB
%------------------------------------------------------------------------------