TSTP Solution File: FLD068-3 by Drodi---3.5.1
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%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : FLD068-3 : TPTP v8.1.2. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n011.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 12:07:09 EDT 2023
% Result : Unsatisfiable 159.81s 20.53s
% Output : CNFRefutation 160.44s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 11
% Syntax : Number of formulae : 41 ( 13 unt; 0 def)
% Number of atoms : 95 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 110 ( 56 ~; 54 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 78 (; 78 !; 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(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(f15,axiom,
! [X] :
( defined(additive_inverse(X))
| ~ defined(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f19,axiom,
! [X,Y] :
( sum(X,Y,add(X,Y))
| ~ defined(X)
| ~ defined(Y) ),
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,negated_conjecture,
less_or_equal(additive_identity,add(b,additive_inverse(a))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f30,negated_conjecture,
~ less_or_equal(a,b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f31,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(f32,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)],[f31]) ).
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(f37,plain,
! [X0,X1,X2] :
( sum(X0,X1,X2)
| ~ sum(X1,X0,X2) ),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f52,plain,
! [X0] :
( defined(additive_inverse(X0))
| ~ defined(X0) ),
inference(cnf_transformation,[status(esa)],[f15]) ).
fof(f57,plain,
! [Y] :
( ! [X] :
( sum(X,Y,add(X,Y))
| ~ defined(X) )
| ~ defined(Y) ),
inference(miniscoping,[status(esa)],[f19]) ).
fof(f58,plain,
! [X0,X1] :
( sum(X0,X1,add(X0,X1))
| ~ defined(X0)
| ~ defined(X1) ),
inference(cnf_transformation,[status(esa)],[f57]) ).
fof(f66,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(f67,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)],[f66]) ).
fof(f70,plain,
defined(a),
inference(cnf_transformation,[status(esa)],[f27]) ).
fof(f71,plain,
defined(b),
inference(cnf_transformation,[status(esa)],[f28]) ).
fof(f72,plain,
less_or_equal(additive_identity,add(b,additive_inverse(a))),
inference(cnf_transformation,[status(esa)],[f29]) ).
fof(f73,plain,
~ less_or_equal(a,b),
inference(cnf_transformation,[status(esa)],[f30]) ).
fof(f134,plain,
! [X0,X1,X2] :
( less_or_equal(X0,X1)
| ~ sum(additive_identity,X2,X0)
| ~ sum(add(b,additive_inverse(a)),X2,X1) ),
inference(resolution,[status(thm)],[f67,f72]) ).
fof(f334,plain,
! [X0,X1,X2] :
( less_or_equal(X0,X1)
| ~ sum(additive_identity,X2,X0)
| ~ sum(X2,add(b,additive_inverse(a)),X1) ),
inference(resolution,[status(thm)],[f134,f37]) ).
fof(f337,plain,
! [X0,X1] :
( less_or_equal(X0,X1)
| ~ sum(X0,add(b,additive_inverse(a)),X1)
| ~ defined(X0) ),
inference(resolution,[status(thm)],[f334,f35]) ).
fof(f356,plain,
! [X0] :
( less_or_equal(a,X0)
| ~ sum(a,add(b,additive_inverse(a)),X0) ),
inference(resolution,[status(thm)],[f337,f70]) ).
fof(f557,plain,
! [X0,X1,X2,X3] :
( less_or_equal(a,X0)
| ~ sum(a,X1,X2)
| ~ sum(X1,X3,add(b,additive_inverse(a)))
| ~ sum(X2,X3,X0) ),
inference(resolution,[status(thm)],[f356,f32]) ).
fof(f8799,plain,
! [X0,X1,X2,X3] :
( less_or_equal(a,X0)
| ~ sum(X1,X2,add(b,additive_inverse(a)))
| ~ sum(X3,X2,X0)
| ~ sum(X1,a,X3) ),
inference(resolution,[status(thm)],[f557,f37]) ).
fof(f16944,plain,
! [X0,X1,X2,X3] :
( less_or_equal(a,X0)
| ~ sum(X1,X2,X0)
| ~ sum(X3,a,X1)
| ~ sum(X2,X3,add(b,additive_inverse(a))) ),
inference(resolution,[status(thm)],[f8799,f37]) ).
fof(f24492,plain,
sum(additive_identity,b,b),
inference(resolution,[status(thm)],[f35,f71]) ).
fof(f24537,plain,
sum(additive_inverse(a),a,additive_identity),
inference(resolution,[status(thm)],[f36,f70]) ).
fof(f24585,plain,
! [X0,X1] :
( sum(X0,additive_inverse(X1),add(X0,additive_inverse(X1)))
| ~ defined(X0)
| ~ defined(X1) ),
inference(resolution,[status(thm)],[f58,f52]) ).
fof(f28858,plain,
! [X0] :
( sum(X0,additive_inverse(a),add(X0,additive_inverse(a)))
| ~ defined(X0) ),
inference(resolution,[status(thm)],[f24585,f70]) ).
fof(f30008,plain,
sum(b,additive_inverse(a),add(b,additive_inverse(a))),
inference(resolution,[status(thm)],[f28858,f71]) ).
fof(f30073,plain,
! [X0,X1] :
( less_or_equal(a,X0)
| ~ sum(X1,b,X0)
| ~ sum(additive_inverse(a),a,X1) ),
inference(resolution,[status(thm)],[f30008,f16944]) ).
fof(f31224,plain,
! [X0] :
( less_or_equal(a,X0)
| ~ sum(additive_identity,b,X0) ),
inference(resolution,[status(thm)],[f30073,f24537]) ).
fof(f31243,plain,
less_or_equal(a,b),
inference(resolution,[status(thm)],[f31224,f24492]) ).
fof(f31244,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f31243,f73]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.11 % Problem : FLD068-3 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.05/0.12 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.10/0.32 % Computer : n011.cluster.edu
% 0.10/0.32 % Model : x86_64 x86_64
% 0.10/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.32 % Memory : 8042.1875MB
% 0.10/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.32 % CPULimit : 300
% 0.10/0.32 % WCLimit : 300
% 0.10/0.32 % DateTime : Tue May 30 11:01:42 EDT 2023
% 0.10/0.32 % CPUTime :
% 0.10/0.33 % Drodi V3.5.1
% 159.81/20.53 % Refutation found
% 159.81/20.53 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 159.81/20.53 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 161.97/21.76 % Elapsed time: 21.219846 seconds
% 161.97/21.76 % CPU time: 153.935152 seconds
% 161.97/21.76 % Memory used: 169.030 MB
%------------------------------------------------------------------------------