TSTP Solution File: COL004-3 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : COL004-3 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n016.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 20:13:31 EDT 2024
% Result : Unsatisfiable 0.10s 0.36s
% Output : CNFRefutation 0.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 3
% Syntax : Number of formulae : 17 ( 17 unt; 0 def)
% Number of atoms : 17 ( 16 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 12 ( 12 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 9 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 10 ( 10 !; 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/sandbox2/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [X,Y] : apply(apply(k,X),Y) = X,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f3,negated_conjecture,
apply(apply(apply(apply(s,apply(k,apply(s,apply(apply(s,k),k)))),apply(apply(s,apply(apply(s,k),k)),apply(apply(s,k),k))),x),y) != apply(y,apply(apply(x,x),y)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4,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(f5,plain,
! [X0,X1] : apply(apply(k,X0),X1) = X0,
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f6,plain,
apply(apply(apply(apply(s,apply(k,apply(s,apply(apply(s,k),k)))),apply(apply(s,apply(apply(s,k),k)),apply(apply(s,k),k))),x),y) != apply(y,apply(apply(x,x),y)),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f15,plain,
apply(y,apply(apply(x,x),y)) != apply(apply(apply(apply(k,apply(s,apply(apply(s,k),k))),x),apply(apply(apply(s,apply(apply(s,k),k)),apply(apply(s,k),k)),x)),y),
inference(paramodulation,[status(thm)],[f4,f6]) ).
fof(f17,plain,
apply(y,apply(apply(x,x),y)) != apply(apply(apply(s,apply(apply(s,k),k)),apply(apply(apply(s,apply(apply(s,k),k)),apply(apply(s,k),k)),x)),y),
inference(forward_demodulation,[status(thm)],[f5,f15]) ).
fof(f18,plain,
apply(y,apply(apply(x,x),y)) != apply(apply(apply(apply(s,k),k),y),apply(apply(apply(apply(s,apply(apply(s,k),k)),apply(apply(s,k),k)),x),y)),
inference(forward_demodulation,[status(thm)],[f4,f17]) ).
fof(f19,plain,
apply(y,apply(apply(x,x),y)) != apply(apply(apply(k,y),apply(k,y)),apply(apply(apply(apply(s,apply(apply(s,k),k)),apply(apply(s,k),k)),x),y)),
inference(forward_demodulation,[status(thm)],[f4,f18]) ).
fof(f20,plain,
apply(y,apply(apply(x,x),y)) != apply(y,apply(apply(apply(apply(s,apply(apply(s,k),k)),apply(apply(s,k),k)),x),y)),
inference(forward_demodulation,[status(thm)],[f5,f19]) ).
fof(f21,plain,
apply(y,apply(apply(x,x),y)) != apply(y,apply(apply(apply(apply(apply(s,k),k),x),apply(apply(apply(s,k),k),x)),y)),
inference(forward_demodulation,[status(thm)],[f4,f20]) ).
fof(f22,plain,
apply(y,apply(apply(x,x),y)) != apply(y,apply(apply(apply(apply(k,x),apply(k,x)),apply(apply(apply(s,k),k),x)),y)),
inference(forward_demodulation,[status(thm)],[f4,f21]) ).
fof(f23,plain,
apply(y,apply(apply(x,x),y)) != apply(y,apply(apply(x,apply(apply(apply(s,k),k),x)),y)),
inference(forward_demodulation,[status(thm)],[f5,f22]) ).
fof(f24,plain,
apply(y,apply(apply(x,x),y)) != apply(y,apply(apply(x,apply(apply(k,x),apply(k,x))),y)),
inference(forward_demodulation,[status(thm)],[f4,f23]) ).
fof(f25,plain,
apply(y,apply(apply(x,x),y)) != apply(y,apply(apply(x,x),y)),
inference(forward_demodulation,[status(thm)],[f5,f24]) ).
fof(f26,plain,
$false,
inference(equality_resolution,[status(esa)],[f25]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.13 % Problem : COL004-3 : TPTP v8.1.2. Released v1.0.0.
% 0.06/0.14 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.10/0.35 % Computer : n016.cluster.edu
% 0.10/0.35 % Model : x86_64 x86_64
% 0.10/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.35 % Memory : 8042.1875MB
% 0.10/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.35 % CPULimit : 300
% 0.10/0.35 % WCLimit : 300
% 0.10/0.35 % DateTime : Mon Apr 29 23:02:55 EDT 2024
% 0.10/0.35 % CPUTime :
% 0.10/0.36 % Drodi V3.6.0
% 0.10/0.36 % Refutation found
% 0.10/0.36 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.10/0.36 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.10/0.38 % Elapsed time: 0.015432 seconds
% 0.10/0.38 % CPU time: 0.019650 seconds
% 0.10/0.38 % Total memory used: 2.428 MB
% 0.10/0.38 % Net memory used: 2.272 MB
%------------------------------------------------------------------------------