TSTP Solution File: COL002-2 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : COL002-2 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n028.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 20:13:28 EDT 2024
% Result : Unsatisfiable 2.82s 0.70s
% Output : CNFRefutation 2.82s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 5
% Syntax : Number of formulae : 18 ( 16 unt; 0 def)
% Number of atoms : 20 ( 15 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 9 ( 7 ~; 2 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 28 ( 28 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X,Y,Z] : apply(apply(apply(s,X),Y),Z) = apply(apply(X,Z),apply(Y,Z)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [X,Y,Z] : apply(apply(apply(b,X),Y),Z) = apply(X,apply(Y,Z)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f4,axiom,
! [X] : apply(i,X) = X,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f5,axiom,
! [Weak_sage] :
( Weak_sage != apply(fixed_pt,Weak_sage)
| fixed_point(Weak_sage) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f6,negated_conjecture,
! [X] : ~ fixed_point(apply(apply(apply(s,apply(b,X)),i),apply(apply(s,apply(b,X)),i))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f7,plain,
! [X0,X1,X2] : apply(apply(apply(s,X0),X1),X2) = apply(apply(X0,X2),apply(X1,X2)),
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f8,plain,
! [X0,X1,X2] : apply(apply(apply(b,X0),X1),X2) = apply(X0,apply(X1,X2)),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f10,plain,
! [X0] : apply(i,X0) = X0,
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f11,plain,
! [X0] :
( X0 != apply(fixed_pt,X0)
| fixed_point(X0) ),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f12,plain,
! [X0] : ~ fixed_point(apply(apply(apply(s,apply(b,X0)),i),apply(apply(s,apply(b,X0)),i))),
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f18,plain,
! [X0,X1] : apply(apply(apply(s,i),X0),X1) = apply(X1,apply(X0,X1)),
inference(paramodulation,[status(thm)],[f10,f7]) ).
fof(f22,plain,
! [X0,X1] : apply(apply(apply(s,X0),i),X1) = apply(apply(X0,X1),X1),
inference(paramodulation,[status(thm)],[f10,f7]) ).
fof(f32,plain,
! [X0] : apply(apply(apply(s,i),i),X0) = apply(X0,X0),
inference(paramodulation,[status(thm)],[f10,f18]) ).
fof(f113,plain,
! [X0,X1] : apply(apply(apply(s,apply(b,X0)),i),X1) = apply(X0,apply(X1,X1)),
inference(paramodulation,[status(thm)],[f8,f22]) ).
fof(f811,plain,
! [X0] : apply(apply(apply(s,apply(b,X0)),i),apply(apply(s,apply(b,X0)),i)) != apply(fixed_pt,apply(apply(apply(s,apply(b,X0)),i),apply(apply(s,apply(b,X0)),i))),
inference(resolution,[status(thm)],[f11,f12]) ).
fof(f812,plain,
! [X0] : apply(apply(apply(s,i),i),apply(apply(s,apply(b,X0)),i)) != apply(fixed_pt,apply(apply(apply(s,apply(b,X0)),i),apply(apply(s,apply(b,X0)),i))),
inference(forward_demodulation,[status(thm)],[f32,f811]) ).
fof(f813,plain,
! [X0] : apply(apply(apply(s,i),i),apply(apply(s,apply(b,X0)),i)) != apply(apply(apply(s,apply(b,fixed_pt)),i),apply(apply(s,apply(b,X0)),i)),
inference(forward_demodulation,[status(thm)],[f113,f812]) ).
fof(f3469,plain,
$false,
inference(resolution,[status(thm)],[f813,f32]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : COL002-2 : TPTP v8.1.2. Released v1.0.0.
% 0.06/0.12 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.11/0.33 % Computer : n028.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 300
% 0.11/0.33 % DateTime : Mon Apr 29 22:50:44 EDT 2024
% 0.11/0.33 % CPUTime :
% 0.11/0.34 % Drodi V3.6.0
% 2.82/0.70 % Refutation found
% 2.82/0.70 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 2.82/0.70 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 2.82/0.72 % Elapsed time: 0.381015 seconds
% 2.82/0.72 % CPU time: 2.905097 seconds
% 2.82/0.72 % Total memory used: 99.314 MB
% 2.82/0.72 % Net memory used: 98.915 MB
%------------------------------------------------------------------------------