TSTP Solution File: COL042-5 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : COL042-5 : TPTP v8.1.2. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n004.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 20:13:37 EDT 2024
% Result : Unsatisfiable 199.47s 25.44s
% Output : CNFRefutation 201.40s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 4
% Syntax : Number of formulae : 23 ( 21 unt; 0 def)
% Number of atoms : 25 ( 20 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 16 ( 14 ~; 2 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 23 ( 23 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X,Y,Z] : apply(apply(apply(b,X),Y),Z) = apply(X,apply(Y,Z)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [X,Y] : apply(apply(w1,X),Y) = apply(apply(Y,X),X),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f3,axiom,
! [Strong_fixed_point] :
( apply(Strong_fixed_point,fixed_pt) != apply(fixed_pt,apply(Strong_fixed_point,fixed_pt))
| fixed_point(Strong_fixed_point) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4,negated_conjecture,
~ fixed_point(apply(apply(b,apply(w1,w1)),apply(apply(b,apply(b,w1)),apply(apply(b,b),b)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f5,plain,
! [X0,X1,X2] : apply(apply(apply(b,X0),X1),X2) = apply(X0,apply(X1,X2)),
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f6,plain,
! [X0,X1] : apply(apply(w1,X0),X1) = apply(apply(X1,X0),X0),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f7,plain,
! [X0] :
( apply(X0,fixed_pt) != apply(fixed_pt,apply(X0,fixed_pt))
| fixed_point(X0) ),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f8,plain,
~ fixed_point(apply(apply(b,apply(w1,w1)),apply(apply(b,apply(b,w1)),apply(apply(b,b),b)))),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f13,plain,
apply(apply(apply(b,apply(w1,w1)),apply(apply(b,apply(b,w1)),apply(apply(b,b),b))),fixed_pt) != apply(fixed_pt,apply(apply(apply(b,apply(w1,w1)),apply(apply(b,apply(b,w1)),apply(apply(b,b),b))),fixed_pt)),
inference(resolution,[status(thm)],[f7,f8]) ).
fof(f14,plain,
apply(apply(w1,w1),apply(apply(apply(b,apply(b,w1)),apply(apply(b,b),b)),fixed_pt)) != apply(fixed_pt,apply(apply(apply(b,apply(w1,w1)),apply(apply(b,apply(b,w1)),apply(apply(b,b),b))),fixed_pt)),
inference(forward_demodulation,[status(thm)],[f5,f13]) ).
fof(f15,plain,
apply(apply(w1,w1),apply(apply(b,w1),apply(apply(apply(b,b),b),fixed_pt))) != apply(fixed_pt,apply(apply(apply(b,apply(w1,w1)),apply(apply(b,apply(b,w1)),apply(apply(b,b),b))),fixed_pt)),
inference(forward_demodulation,[status(thm)],[f5,f14]) ).
fof(f16,plain,
apply(apply(w1,w1),apply(apply(b,w1),apply(b,apply(b,fixed_pt)))) != apply(fixed_pt,apply(apply(apply(b,apply(w1,w1)),apply(apply(b,apply(b,w1)),apply(apply(b,b),b))),fixed_pt)),
inference(forward_demodulation,[status(thm)],[f5,f15]) ).
fof(f17,plain,
apply(apply(w1,w1),apply(apply(b,w1),apply(b,apply(b,fixed_pt)))) != apply(fixed_pt,apply(apply(w1,w1),apply(apply(apply(b,apply(b,w1)),apply(apply(b,b),b)),fixed_pt))),
inference(forward_demodulation,[status(thm)],[f5,f16]) ).
fof(f18,plain,
apply(apply(w1,w1),apply(apply(b,w1),apply(b,apply(b,fixed_pt)))) != apply(fixed_pt,apply(apply(w1,w1),apply(apply(b,w1),apply(apply(apply(b,b),b),fixed_pt)))),
inference(forward_demodulation,[status(thm)],[f5,f17]) ).
fof(f19,plain,
apply(apply(w1,w1),apply(apply(b,w1),apply(b,apply(b,fixed_pt)))) != apply(fixed_pt,apply(apply(w1,w1),apply(apply(b,w1),apply(b,apply(b,fixed_pt))))),
inference(forward_demodulation,[status(thm)],[f5,f18]) ).
fof(f23,plain,
! [X0,X1,X2] : apply(apply(w1,X0),apply(apply(b,X1),X2)) = apply(apply(X1,apply(X2,X0)),X0),
inference(paramodulation,[status(thm)],[f5,f6]) ).
fof(f255,plain,
! [X0,X1,X2] : apply(apply(w1,X0),apply(apply(b,apply(b,X1)),X2)) = apply(X1,apply(apply(X2,X0),X0)),
inference(paramodulation,[status(thm)],[f5,f23]) ).
fof(f293,plain,
apply(apply(w1,w1),apply(apply(b,w1),apply(b,apply(b,fixed_pt)))) != apply(fixed_pt,apply(apply(w1,apply(apply(b,apply(b,fixed_pt)),w1)),w1)),
inference(paramodulation,[status(thm)],[f23,f19]) ).
fof(f294,plain,
apply(apply(w1,apply(apply(b,apply(b,fixed_pt)),w1)),w1) != apply(fixed_pt,apply(apply(w1,apply(apply(b,apply(b,fixed_pt)),w1)),w1)),
inference(forward_demodulation,[status(thm)],[f23,f293]) ).
fof(f15485,plain,
! [X0,X1,X2] : apply(apply(w1,X0),apply(apply(b,apply(b,X1)),X2)) = apply(X1,apply(apply(w1,X0),X2)),
inference(paramodulation,[status(thm)],[f6,f255]) ).
fof(f36430,plain,
! [X0,X1] : apply(apply(w1,apply(apply(b,apply(b,X0)),X1)),w1) = apply(X0,apply(apply(w1,apply(apply(b,apply(b,X0)),X1)),X1)),
inference(paramodulation,[status(thm)],[f6,f15485]) ).
fof(f36761,plain,
apply(apply(w1,apply(apply(b,apply(b,fixed_pt)),w1)),w1) != apply(apply(w1,apply(apply(b,apply(b,fixed_pt)),w1)),w1),
inference(backward_demodulation,[status(thm)],[f36430,f294]) ).
fof(f36762,plain,
$false,
inference(trivial_equality_resolution,[status(esa)],[f36761]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : COL042-5 : TPTP v8.1.2. Released v1.2.0.
% 0.06/0.12 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.11/0.34 % Computer : n004.cluster.edu
% 0.11/0.34 % Model : x86_64 x86_64
% 0.11/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.34 % Memory : 8042.1875MB
% 0.11/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.34 % CPULimit : 300
% 0.11/0.34 % WCLimit : 300
% 0.11/0.34 % DateTime : Mon Apr 29 22:18:48 EDT 2024
% 0.11/0.34 % CPUTime :
% 0.11/0.35 % Drodi V3.6.0
% 199.47/25.44 % Refutation found
% 199.47/25.44 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 199.47/25.44 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 202.69/25.92 % Elapsed time: 25.569423 seconds
% 202.69/25.92 % CPU time: 201.996503 seconds
% 202.69/25.92 % Total memory used: 2.007 GB
% 202.69/25.92 % Net memory used: 1.999 GB
%------------------------------------------------------------------------------