TSTP Solution File: COL042-8 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : COL042-8 : TPTP v8.1.2. Released v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n020.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 36.59s 4.98s
% Output : CNFRefutation 36.59s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 4
% Syntax : Number of formulae : 34 ( 34 unt; 0 def)
% Number of atoms : 34 ( 33 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 : 8 ( 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 : 50 ( 50 !; 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(w1,X),Y) = apply(apply(Y,X),X),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f3,axiom,
strong_fixed_point = apply(apply(b,apply(apply(b,apply(w1,w1)),apply(apply(b,apply(b,w1)),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(w1,X0),X1) = apply(apply(X1,X0),X0),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f7,plain,
strong_fixed_point = apply(apply(b,apply(apply(b,apply(w1,w1)),apply(apply(b,apply(b,w1)),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(w1,X0),w1) = apply(apply(X0,X0),X0),
inference(paramodulation,[status(thm)],[f6,f6]) ).
fof(f26,plain,
! [X0,X1] : apply(apply(apply(w1,X0),b),X1) = apply(X0,apply(X0,X1)),
inference(paramodulation,[status(thm)],[f6,f5]) ).
fof(f31,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(f52,plain,
! [X0,X1,X2] : apply(apply(apply(apply(w1,apply(b,X0)),b),X1),X2) = apply(X0,apply(apply(apply(b,X0),X1),X2)),
inference(paramodulation,[status(thm)],[f26,f5]) ).
fof(f53,plain,
! [X0,X1,X2] : apply(apply(apply(apply(w1,apply(b,X0)),b),X1),X2) = apply(X0,apply(X0,apply(X1,X2))),
inference(forward_demodulation,[status(thm)],[f5,f52]) ).
fof(f130,plain,
! [X0] : apply(strong_fixed_point,X0) = apply(apply(apply(b,apply(w1,w1)),apply(apply(b,apply(b,w1)),b)),apply(b,X0)),
inference(paramodulation,[status(thm)],[f7,f5]) ).
fof(f131,plain,
! [X0] : apply(strong_fixed_point,X0) = apply(apply(w1,w1),apply(apply(apply(b,apply(b,w1)),b),apply(b,X0))),
inference(forward_demodulation,[status(thm)],[f5,f130]) ).
fof(f132,plain,
! [X0] : apply(strong_fixed_point,X0) = apply(apply(w1,w1),apply(apply(b,w1),apply(b,apply(b,X0)))),
inference(forward_demodulation,[status(thm)],[f5,f131]) ).
fof(f612,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,f31]) ).
fof(f820,plain,
! [X0] : apply(strong_fixed_point,X0) = apply(apply(w1,apply(apply(b,apply(b,X0)),w1)),w1),
inference(forward_demodulation,[status(thm)],[f31,f132]) ).
fof(f3701,plain,
! [X0,X1,X2] : apply(apply(apply(apply(w1,apply(b,X0)),b),X1),X2) = apply(apply(apply(w1,X0),b),apply(X1,X2)),
inference(paramodulation,[status(thm)],[f26,f53]) ).
fof(f3830,plain,
! [X0,X1] : apply(apply(apply(apply(w1,apply(b,X0)),b),apply(w1,X1)),w1) = apply(X0,apply(X0,apply(apply(X1,X1),X1))),
inference(paramodulation,[status(thm)],[f9,f53]) ).
fof(f7685,plain,
! [X0,X1] : apply(apply(apply(w1,X0),b),apply(apply(w1,X1),w1)) = apply(X0,apply(X0,apply(apply(X1,X1),X1))),
inference(forward_demodulation,[status(thm)],[f3701,f3830]) ).
fof(f7793,plain,
! [X0,X1] : apply(apply(apply(w1,X0),b),apply(apply(w1,X1),w1)) = apply(X0,apply(X0,apply(apply(w1,X1),X1))),
inference(paramodulation,[status(thm)],[f6,f7685]) ).
fof(f8227,plain,
! [X0,X1] : apply(X0,apply(X0,apply(apply(w1,X1),w1))) = apply(X0,apply(X0,apply(apply(w1,X1),X1))),
inference(paramodulation,[status(thm)],[f26,f7793]) ).
fof(f24763,plain,
! [X0,X1] : apply(X0,apply(X0,apply(apply(w1,X1),w1))) = apply(X0,apply(apply(w1,X1),apply(apply(b,apply(b,X0)),w1))),
inference(paramodulation,[status(thm)],[f612,f8227]) ).
fof(f25565,plain,
! [X0] : apply(X0,apply(X0,apply(apply(w1,apply(apply(b,apply(b,X0)),w1)),w1))) = apply(apply(w1,apply(apply(b,apply(b,X0)),w1)),apply(apply(b,apply(b,X0)),w1)),
inference(paramodulation,[status(thm)],[f612,f24763]) ).
fof(f25566,plain,
! [X0] : apply(X0,apply(X0,apply(strong_fixed_point,X0))) = apply(apply(w1,apply(apply(b,apply(b,X0)),w1)),apply(apply(b,apply(b,X0)),w1)),
inference(forward_demodulation,[status(thm)],[f820,f25565]) ).
fof(f25567,plain,
! [X0] : apply(X0,apply(X0,apply(strong_fixed_point,X0))) = apply(apply(w1,apply(apply(b,apply(b,X0)),w1)),w1),
inference(forward_demodulation,[status(thm)],[f6,f25566]) ).
fof(f25568,plain,
! [X0] : apply(X0,apply(X0,apply(strong_fixed_point,X0))) = apply(strong_fixed_point,X0),
inference(forward_demodulation,[status(thm)],[f820,f25567]) ).
fof(f25576,plain,
! [X0] : apply(X0,apply(X0,apply(apply(w1,apply(apply(b,apply(b,X0)),w1)),w1))) = apply(X0,apply(apply(w1,apply(apply(b,apply(b,X0)),w1)),w1)),
inference(paramodulation,[status(thm)],[f6,f24763]) ).
fof(f25577,plain,
! [X0] : apply(X0,apply(X0,apply(strong_fixed_point,X0))) = apply(X0,apply(apply(w1,apply(apply(b,apply(b,X0)),w1)),w1)),
inference(forward_demodulation,[status(thm)],[f820,f25576]) ).
fof(f25578,plain,
! [X0] : apply(X0,apply(X0,apply(strong_fixed_point,X0))) = apply(X0,apply(strong_fixed_point,X0)),
inference(forward_demodulation,[status(thm)],[f820,f25577]) ).
fof(f26860,plain,
! [X0] : apply(strong_fixed_point,X0) = apply(X0,apply(strong_fixed_point,X0)),
inference(forward_demodulation,[status(thm)],[f25568,f25578]) ).
fof(f26861,plain,
apply(strong_fixed_point,fixed_pt) != apply(strong_fixed_point,fixed_pt),
inference(backward_demodulation,[status(thm)],[f26860,f8]) ).
fof(f26862,plain,
$false,
inference(trivial_equality_resolution,[status(esa)],[f26861]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : COL042-8 : TPTP v8.1.2. Released v2.1.0.
% 0.03/0.14 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.14/0.35 % Computer : n020.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Mon Apr 29 22:21:32 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.36 % Drodi V3.6.0
% 36.59/4.98 % Refutation found
% 36.59/4.98 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 36.59/4.98 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 37.48/5.12 % Elapsed time: 4.749936 seconds
% 37.48/5.12 % CPU time: 37.373590 seconds
% 37.48/5.12 % Total memory used: 682.829 MB
% 37.48/5.12 % Net memory used: 679.172 MB
%------------------------------------------------------------------------------