TSTP Solution File: COL003-18 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : COL003-18 : TPTP v8.1.2. Released v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n021.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 20:13:30 EDT 2024
% Result : Unsatisfiable 174.68s 22.36s
% Output : CNFRefutation 174.68s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 4
% Syntax : Number of formulae : 23 ( 23 unt; 0 def)
% Number of atoms : 23 ( 22 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 3 ( 3 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 avg)
% Maximal term depth : 7 ( 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 : 32 ( 32 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X,Y,Z] : apply(apply(apply(b,X),Y),Z) = apply(X,apply(Y,Z)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [X,Y] : apply(apply(w,X),Y) = apply(apply(X,Y),Y),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f3,axiom,
strong_fixed_point = apply(apply(b,apply(apply(b,apply(w,w)),apply(b,w))),apply(apply(b,b),b)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f4,negated_conjecture,
apply(strong_fixed_point,fixed_pt) != apply(fixed_pt,apply(strong_fixed_point,fixed_pt)),
file('/export/starexec/sandbox/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(w,X0),X1) = apply(apply(X0,X1),X1),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f7,plain,
strong_fixed_point = apply(apply(b,apply(apply(b,apply(w,w)),apply(b,w))),apply(apply(b,b),b)),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f8,plain,
apply(strong_fixed_point,fixed_pt) != apply(fixed_pt,apply(strong_fixed_point,fixed_pt)),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f9,plain,
! [X0] : apply(apply(w,w),X0) = apply(apply(X0,X0),X0),
inference(paramodulation,[status(thm)],[f6,f6]) ).
fof(f28,plain,
! [X0,X1] : apply(apply(w,w),apply(apply(b,X0),X1)) = apply(apply(X0,apply(X1,apply(apply(b,X0),X1))),apply(apply(b,X0),X1)),
inference(paramodulation,[status(thm)],[f5,f9]) ).
fof(f29,plain,
! [X0,X1,X2] : apply(apply(w,apply(apply(b,X0),X1)),X2) = apply(apply(X0,apply(X1,X2)),X2),
inference(paramodulation,[status(thm)],[f5,f6]) ).
fof(f50,plain,
! [X0] : apply(strong_fixed_point,X0) = apply(apply(apply(b,apply(w,w)),apply(b,w)),apply(apply(apply(b,b),b),X0)),
inference(paramodulation,[status(thm)],[f7,f5]) ).
fof(f51,plain,
! [X0] : apply(strong_fixed_point,X0) = apply(apply(w,w),apply(apply(b,w),apply(apply(apply(b,b),b),X0))),
inference(forward_demodulation,[status(thm)],[f5,f50]) ).
fof(f52,plain,
! [X0] : apply(strong_fixed_point,X0) = apply(apply(w,w),apply(apply(b,w),apply(b,apply(b,X0)))),
inference(forward_demodulation,[status(thm)],[f5,f51]) ).
fof(f202,plain,
! [X0,X1,X2] : apply(apply(w,apply(apply(b,apply(b,X0)),X1)),X2) = apply(X0,apply(apply(X1,X2),X2)),
inference(paramodulation,[status(thm)],[f5,f29]) ).
fof(f15880,plain,
! [X0,X1,X2] : apply(apply(w,apply(apply(b,apply(b,X0)),X1)),X2) = apply(X0,apply(apply(w,X1),X2)),
inference(paramodulation,[status(thm)],[f6,f202]) ).
fof(f16640,plain,
! [X0,X1,X2] : apply(X0,apply(apply(w,X1),X2)) = apply(X0,apply(apply(X1,X2),X2)),
inference(backward_demodulation,[status(thm)],[f15880,f202]) ).
fof(f35103,plain,
! [X0] : apply(apply(w,w),apply(apply(b,w),apply(b,apply(b,X0)))) = apply(X0,apply(apply(w,apply(apply(b,w),apply(b,apply(b,X0)))),apply(apply(b,w),apply(b,apply(b,X0))))),
inference(paramodulation,[status(thm)],[f28,f15880]) ).
fof(f35104,plain,
! [X0] : apply(strong_fixed_point,X0) = apply(X0,apply(apply(w,apply(apply(b,w),apply(b,apply(b,X0)))),apply(apply(b,w),apply(b,apply(b,X0))))),
inference(forward_demodulation,[status(thm)],[f52,f35103]) ).
fof(f35105,plain,
! [X0] : apply(strong_fixed_point,X0) = apply(X0,apply(apply(w,w),apply(apply(b,w),apply(b,apply(b,X0))))),
inference(forward_demodulation,[status(thm)],[f16640,f35104]) ).
fof(f35106,plain,
! [X0] : apply(strong_fixed_point,X0) = apply(X0,apply(strong_fixed_point,X0)),
inference(forward_demodulation,[status(thm)],[f52,f35105]) ).
fof(f35597,plain,
apply(strong_fixed_point,fixed_pt) != apply(strong_fixed_point,fixed_pt),
inference(backward_demodulation,[status(thm)],[f35106,f8]) ).
fof(f35598,plain,
$false,
inference(trivial_equality_resolution,[status(esa)],[f35597]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.15 % Problem : COL003-18 : TPTP v8.1.2. Released v2.1.0.
% 0.08/0.15 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.14/0.36 % Computer : n021.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Mon Apr 29 22:29:25 EDT 2024
% 0.14/0.36 % CPUTime :
% 0.14/0.37 % Drodi V3.6.0
% 174.68/22.36 % Refutation found
% 174.68/22.36 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 174.68/22.36 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 177.91/23.60 % Elapsed time: 23.020156 seconds
% 177.91/23.60 % CPU time: 163.804917 seconds
% 177.91/23.60 % Total memory used: 1.892 GB
% 177.91/23.60 % Net memory used: 1.874 GB
%------------------------------------------------------------------------------