TSTP Solution File: COL003-15 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : COL003-15 : TPTP v8.1.2. Released v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n005.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 20:13:29 EDT 2024
% Result : Unsatisfiable 79.16s 10.38s
% Output : CNFRefutation 79.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 4
% Syntax : Number of formulae : 21 ( 21 unt; 0 def)
% Number of atoms : 21 ( 20 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 3 ( 3 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 6 ( 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 : 25 ( 25 !; 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)),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)),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(f54,plain,
! [X0,X1] : apply(apply(w,apply(b,X0)),X1) = apply(X0,apply(X1,X1)),
inference(paramodulation,[status(thm)],[f6,f5]) ).
fof(f116,plain,
! [X0,X1] : apply(apply(w,apply(w,apply(b,X0))),X1) = apply(apply(X0,apply(X1,X1)),X1),
inference(paramodulation,[status(thm)],[f54,f6]) ).
fof(f253,plain,
! [X0] : apply(strong_fixed_point,X0) = apply(apply(apply(b,apply(w,w)),w),apply(apply(apply(b,b),b),X0)),
inference(paramodulation,[status(thm)],[f7,f5]) ).
fof(f254,plain,
! [X0] : apply(strong_fixed_point,X0) = apply(apply(w,w),apply(w,apply(apply(apply(b,b),b),X0))),
inference(forward_demodulation,[status(thm)],[f5,f253]) ).
fof(f255,plain,
! [X0] : apply(strong_fixed_point,X0) = apply(apply(w,w),apply(w,apply(b,apply(b,X0)))),
inference(forward_demodulation,[status(thm)],[f5,f254]) ).
fof(f397,plain,
! [X0,X1] : apply(apply(w,apply(w,apply(b,apply(b,X0)))),X1) = apply(X0,apply(apply(X1,X1),X1)),
inference(paramodulation,[status(thm)],[f5,f116]) ).
fof(f3456,plain,
! [X0,X1] : apply(apply(w,apply(w,apply(b,apply(b,X0)))),X1) = apply(X0,apply(apply(w,w),X1)),
inference(paramodulation,[status(thm)],[f9,f397]) ).
fof(f16416,plain,
! [X0] : apply(apply(w,w),apply(w,apply(b,apply(b,X0)))) = apply(X0,apply(apply(w,w),apply(w,apply(b,apply(b,X0))))),
inference(paramodulation,[status(thm)],[f6,f3456]) ).
fof(f16417,plain,
! [X0] : apply(strong_fixed_point,X0) = apply(X0,apply(apply(w,w),apply(w,apply(b,apply(b,X0))))),
inference(forward_demodulation,[status(thm)],[f255,f16416]) ).
fof(f16418,plain,
! [X0] : apply(strong_fixed_point,X0) = apply(X0,apply(strong_fixed_point,X0)),
inference(forward_demodulation,[status(thm)],[f255,f16417]) ).
fof(f16661,plain,
apply(strong_fixed_point,fixed_pt) != apply(strong_fixed_point,fixed_pt),
inference(backward_demodulation,[status(thm)],[f16418,f8]) ).
fof(f16662,plain,
$false,
inference(trivial_equality_resolution,[status(esa)],[f16661]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : COL003-15 : TPTP v8.1.2. Released v2.1.0.
% 0.03/0.11 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.11/0.32 % Computer : n005.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Tue Apr 30 01:38:26 EDT 2024
% 0.11/0.32 % CPUTime :
% 0.11/0.33 % Drodi V3.6.0
% 79.16/10.38 % Refutation found
% 79.16/10.38 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 79.16/10.38 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 79.78/10.44 % Elapsed time: 10.093775 seconds
% 79.78/10.44 % CPU time: 79.508337 seconds
% 79.78/10.44 % Total memory used: 931.056 MB
% 79.78/10.44 % Net memory used: 922.203 MB
%------------------------------------------------------------------------------