TSTP Solution File: FLD022-3 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : FLD022-3 : TPTP v8.1.2. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n012.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 20:16:22 EDT 2024
% Result : Unsatisfiable 1.87s 0.61s
% Output : CNFRefutation 1.87s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% 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 : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 6 ( 6 usr; 5 con; 0-1 aty)
% Number of variables : 58 ( 58 !; 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/sandbox/benchmark/theBenchmark.p') ).
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(f14,axiom,
defined(additive_identity),
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(f31,negated_conjecture,
sum(a,c,u),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f32,negated_conjecture,
sum(b,c,u),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f33,negated_conjecture,
~ sum(additive_identity,a,b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f34,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(f35,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)],[f34]) ).
fof(f36,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(f37,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)],[f36]) ).
fof(f38,plain,
! [X0] :
( sum(additive_identity,X0,X0)
| ~ defined(X0) ),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f39,plain,
! [X0] :
( sum(additive_inverse(X0),X0,additive_identity)
| ~ defined(X0) ),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f40,plain,
! [X0,X1,X2] :
( sum(X0,X1,X2)
| ~ sum(X1,X0,X2) ),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f54,plain,
defined(additive_identity),
inference(cnf_transformation,[status(esa)],[f14]) ).
fof(f73,plain,
defined(a),
inference(cnf_transformation,[status(esa)],[f27]) ).
fof(f74,plain,
defined(b),
inference(cnf_transformation,[status(esa)],[f28]) ).
fof(f75,plain,
defined(c),
inference(cnf_transformation,[status(esa)],[f29]) ).
fof(f77,plain,
sum(a,c,u),
inference(cnf_transformation,[status(esa)],[f31]) ).
fof(f78,plain,
sum(b,c,u),
inference(cnf_transformation,[status(esa)],[f32]) ).
fof(f79,plain,
~ sum(additive_identity,a,b),
inference(cnf_transformation,[status(esa)],[f33]) ).
fof(f84,plain,
sum(additive_identity,b,b),
inference(resolution,[status(thm)],[f38,f74]) ).
fof(f85,plain,
sum(additive_identity,a,a),
inference(resolution,[status(thm)],[f38,f73]) ).
fof(f86,plain,
sum(additive_identity,additive_identity,additive_identity),
inference(resolution,[status(thm)],[f38,f54]) ).
fof(f87,plain,
sum(c,b,u),
inference(resolution,[status(thm)],[f40,f78]) ).
fof(f88,plain,
sum(c,a,u),
inference(resolution,[status(thm)],[f40,f77]) ).
fof(f109,plain,
sum(additive_inverse(c),c,additive_identity),
inference(resolution,[status(thm)],[f39,f75]) ).
fof(f328,plain,
! [X0,X1,X2] :
( sum(additive_identity,X0,X1)
| ~ sum(additive_identity,X2,X0)
| ~ sum(additive_identity,X2,X1) ),
inference(resolution,[status(thm)],[f86,f35]) ).
fof(f449,plain,
! [X0,X1,X2] :
( sum(additive_identity,X0,X1)
| ~ sum(c,X0,X2)
| ~ sum(additive_inverse(c),X2,X1) ),
inference(resolution,[status(thm)],[f109,f37]) ).
fof(f451,plain,
! [X0,X1,X2] :
( sum(additive_inverse(c),X0,X1)
| ~ sum(c,X2,X0)
| ~ sum(additive_identity,X2,X1) ),
inference(resolution,[status(thm)],[f109,f35]) ).
fof(f607,plain,
! [X0] :
( sum(additive_identity,b,X0)
| ~ sum(additive_inverse(c),u,X0) ),
inference(resolution,[status(thm)],[f449,f87]) ).
fof(f608,plain,
! [X0] :
( sum(additive_inverse(c),u,X0)
| ~ sum(additive_identity,a,X0) ),
inference(resolution,[status(thm)],[f451,f88]) ).
fof(f822,plain,
sum(additive_inverse(c),u,a),
inference(resolution,[status(thm)],[f608,f85]) ).
fof(f823,plain,
sum(additive_identity,b,a),
inference(resolution,[status(thm)],[f822,f607]) ).
fof(f1196,plain,
! [X0] :
( sum(additive_identity,a,X0)
| ~ sum(additive_identity,b,X0) ),
inference(resolution,[status(thm)],[f823,f328]) ).
fof(f1206,plain,
sum(additive_identity,a,b),
inference(resolution,[status(thm)],[f1196,f84]) ).
fof(f1207,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f1206,f79]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : FLD022-3 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.03/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34 % Computer : n012.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Mon Apr 29 23:14:11 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.13/0.34 % Drodi V3.6.0
% 1.87/0.61 % Refutation found
% 1.87/0.61 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 1.87/0.61 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 1.87/0.63 % Elapsed time: 0.277023 seconds
% 1.87/0.63 % CPU time: 2.119664 seconds
% 1.87/0.63 % Total memory used: 24.918 MB
% 1.87/0.63 % Net memory used: 24.027 MB
%------------------------------------------------------------------------------