TSTP Solution File: FLD008-4 by Drodi---3.6.0
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%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : FLD008-4 : TPTP v8.1.2. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n032.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 20:16:18 EDT 2024
% Result : Unsatisfiable 0.14s 0.35s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 11
% Syntax : Number of formulae : 43 ( 28 unt; 0 def)
% Number of atoms : 67 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 50 ( 26 ~; 24 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 3 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 : 40 ( 40 !; 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/sandbox2/benchmark/theBenchmark.p') ).
fof(f3,axiom,
! [X] :
( sum(additive_identity,X,X)
| ~ defined(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4,axiom,
! [X] :
( sum(additive_inverse(X),X,additive_identity)
| ~ 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(f27,hypothesis,
defined(a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f28,hypothesis,
defined(b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f29,hypothesis,
defined(c),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f30,hypothesis,
defined(d),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f31,negated_conjecture,
sum(a,b,c),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f32,negated_conjecture,
sum(additive_inverse(a),additive_inverse(b),d),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f33,negated_conjecture,
~ sum(additive_identity,additive_inverse(c),d),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
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(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(f76,plain,
defined(d),
inference(cnf_transformation,[status(esa)],[f30]) ).
fof(f77,plain,
sum(a,b,c),
inference(cnf_transformation,[status(esa)],[f31]) ).
fof(f78,plain,
sum(additive_inverse(a),additive_inverse(b),d),
inference(cnf_transformation,[status(esa)],[f32]) ).
fof(f79,plain,
~ sum(additive_identity,additive_inverse(c),d),
inference(cnf_transformation,[status(esa)],[f33]) ).
fof(f97,plain,
sum(additive_identity,d,d),
inference(resolution,[status(thm)],[f38,f76]) ).
fof(f100,plain,
sum(additive_identity,a,a),
inference(resolution,[status(thm)],[f38,f73]) ).
fof(f102,plain,
! [X0,X1,X2] :
( sum(d,X0,X1)
| ~ sum(additive_inverse(b),X0,X2)
| ~ sum(additive_inverse(a),X2,X1) ),
inference(resolution,[status(thm)],[f37,f78]) ).
fof(f103,plain,
! [X0,X1,X2] :
( sum(c,X0,X1)
| ~ sum(b,X0,X2)
| ~ sum(a,X2,X1) ),
inference(resolution,[status(thm)],[f37,f77]) ).
fof(f110,plain,
sum(additive_inverse(c),c,additive_identity),
inference(resolution,[status(thm)],[f39,f75]) ).
fof(f111,plain,
sum(additive_inverse(b),b,additive_identity),
inference(resolution,[status(thm)],[f39,f74]) ).
fof(f112,plain,
sum(additive_inverse(a),a,additive_identity),
inference(resolution,[status(thm)],[f39,f73]) ).
fof(f125,plain,
sum(a,additive_identity,a),
inference(resolution,[status(thm)],[f40,f100]) ).
fof(f128,plain,
sum(d,additive_identity,d),
inference(resolution,[status(thm)],[f40,f97]) ).
fof(f149,plain,
sum(c,additive_inverse(c),additive_identity),
inference(resolution,[status(thm)],[f110,f40]) ).
fof(f152,plain,
sum(b,additive_inverse(b),additive_identity),
inference(resolution,[status(thm)],[f111,f40]) ).
fof(f200,plain,
! [X0] :
( sum(c,additive_inverse(b),X0)
| ~ sum(a,additive_identity,X0) ),
inference(resolution,[status(thm)],[f152,f103]) ).
fof(f205,plain,
sum(c,additive_inverse(b),a),
inference(resolution,[status(thm)],[f200,f125]) ).
fof(f206,plain,
sum(additive_inverse(b),c,a),
inference(resolution,[status(thm)],[f205,f40]) ).
fof(f209,plain,
! [X0] :
( sum(d,c,X0)
| ~ sum(additive_inverse(a),a,X0) ),
inference(resolution,[status(thm)],[f206,f102]) ).
fof(f215,plain,
sum(d,c,additive_identity),
inference(resolution,[status(thm)],[f209,f112]) ).
fof(f217,plain,
! [X0,X1,X2] :
( sum(additive_identity,X0,X1)
| ~ sum(c,X0,X2)
| ~ sum(d,X2,X1) ),
inference(resolution,[status(thm)],[f215,f37]) ).
fof(f225,plain,
! [X0] :
( sum(additive_identity,additive_inverse(c),X0)
| ~ sum(d,additive_identity,X0) ),
inference(resolution,[status(thm)],[f217,f149]) ).
fof(f228,plain,
sum(additive_identity,additive_inverse(c),d),
inference(resolution,[status(thm)],[f225,f128]) ).
fof(f229,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f228,f79]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.11 % Problem : FLD008-4 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.05/0.11 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.10/0.31 % Computer : n032.cluster.edu
% 0.10/0.31 % Model : x86_64 x86_64
% 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31 % Memory : 8042.1875MB
% 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31 % CPULimit : 300
% 0.10/0.31 % WCLimit : 300
% 0.10/0.31 % DateTime : Mon Apr 29 23:27:50 EDT 2024
% 0.10/0.31 % CPUTime :
% 0.14/0.32 % Drodi V3.6.0
% 0.14/0.35 % Refutation found
% 0.14/0.35 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.14/0.35 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.14/0.36 % Elapsed time: 0.044606 seconds
% 0.14/0.36 % CPU time: 0.267595 seconds
% 0.14/0.36 % Total memory used: 11.995 MB
% 0.14/0.36 % Net memory used: 11.727 MB
%------------------------------------------------------------------------------