TSTP Solution File: COL044-8 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : COL044-8 : 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 20:13:39 EDT 2024
% Result : Unsatisfiable 79.62s 10.40s
% Output : CNFRefutation 80.74s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 4
% Syntax : Number of formulae : 26 ( 26 unt; 0 def)
% Number of atoms : 26 ( 25 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 12 ( 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 : 49 ( 49 !; 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,Z] : apply(apply(apply(n,X),Y),Z) = apply(apply(apply(X,Z),Y),Z),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f3,axiom,
strong_fixed_point = apply(apply(b,apply(apply(b,apply(apply(n,apply(n,apply(apply(b,apply(b,b)),apply(n,apply(apply(b,b),n))))),n)),b)),b),
file('/export/starexec/sandbox2/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/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,X2] : apply(apply(apply(n,X0),X1),X2) = apply(apply(apply(X0,X2),X1),X2),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f7,plain,
strong_fixed_point = apply(apply(b,apply(apply(b,apply(apply(n,apply(n,apply(apply(b,apply(b,b)),apply(n,apply(apply(b,b),n))))),n)),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(apply(b,apply(apply(n,apply(n,apply(apply(b,apply(b,b)),apply(n,apply(apply(b,b),n))))),n)),b),apply(b,X0)) = apply(strong_fixed_point,X0),
inference(paramodulation,[status(thm)],[f7,f5]) ).
fof(f10,plain,
! [X0] : apply(apply(apply(n,apply(n,apply(apply(b,apply(b,b)),apply(n,apply(apply(b,b),n))))),n),apply(b,apply(b,X0))) = apply(strong_fixed_point,X0),
inference(forward_demodulation,[status(thm)],[f5,f9]) ).
fof(f14,plain,
! [X0,X1,X2] : apply(apply(apply(n,apply(b,X0)),X1),X2) = apply(apply(X0,apply(X2,X1)),X2),
inference(paramodulation,[status(thm)],[f5,f6]) ).
fof(f15,plain,
! [X0,X1,X2] : apply(apply(apply(n,apply(X0,X1)),X1),X2) = apply(apply(apply(apply(n,X0),X2),X1),X2),
inference(paramodulation,[status(thm)],[f6,f6]) ).
fof(f19,plain,
! [X0,X1,X2,X3] : apply(apply(apply(n,apply(apply(b,X0),X1)),X2),X3) = apply(apply(apply(X0,apply(X1,X3)),X2),X3),
inference(paramodulation,[status(thm)],[f5,f6]) ).
fof(f24,plain,
! [X0,X1,X2] : apply(apply(apply(n,apply(X0,X1)),X1),X2) = apply(apply(apply(n,apply(n,X0)),X1),X2),
inference(forward_demodulation,[status(thm)],[f6,f15]) ).
fof(f296,plain,
! [X0,X1,X2] : apply(X0,apply(apply(X1,X2),X1)) = apply(apply(apply(n,apply(b,apply(b,X0))),X2),X1),
inference(paramodulation,[status(thm)],[f14,f5]) ).
fof(f301,plain,
! [X0,X1,X2] : apply(apply(X0,X1),apply(X0,X2)) = apply(apply(apply(apply(n,apply(b,b)),X1),X0),X2),
inference(paramodulation,[status(thm)],[f14,f5]) ).
fof(f372,plain,
! [X0,X1,X2,X3] : apply(apply(apply(n,apply(n,apply(apply(b,X0),X1))),X2),X3) = apply(apply(apply(n,apply(X0,apply(X1,X2))),X2),X3),
inference(paramodulation,[status(thm)],[f5,f24]) ).
fof(f425,plain,
! [X0] : apply(apply(apply(n,apply(apply(b,b),apply(apply(n,apply(apply(b,b),n)),n))),n),apply(b,apply(b,X0))) = apply(strong_fixed_point,X0),
inference(backward_demodulation,[status(thm)],[f372,f10]) ).
fof(f534,plain,
! [X0,X1] : apply(apply(apply(n,apply(n,apply(b,b))),X0),X1) = apply(apply(X0,X1),apply(X0,X1)),
inference(paramodulation,[status(thm)],[f301,f6]) ).
fof(f2006,plain,
! [X0,X1,X2] : apply(apply(X0,X1),apply(X2,X1)) = apply(apply(apply(n,apply(apply(b,b),X0)),X2),X1),
inference(paramodulation,[status(thm)],[f19,f5]) ).
fof(f3534,plain,
! [X0] : apply(apply(apply(apply(n,apply(apply(b,b),n)),n),apply(b,apply(b,X0))),apply(n,apply(b,apply(b,X0)))) = apply(strong_fixed_point,X0),
inference(paramodulation,[status(thm)],[f425,f2006]) ).
fof(f3563,plain,
! [X0] : apply(apply(apply(apply(n,apply(n,apply(b,b))),n),apply(b,apply(b,X0))),apply(n,apply(b,apply(b,X0)))) = apply(strong_fixed_point,X0),
inference(forward_demodulation,[status(thm)],[f24,f3534]) ).
fof(f3582,plain,
! [X0] : apply(strong_fixed_point,X0) = apply(apply(apply(n,apply(b,apply(b,X0))),apply(n,apply(b,apply(b,X0)))),apply(n,apply(b,apply(b,X0)))),
inference(paramodulation,[status(thm)],[f534,f3563]) ).
fof(f3684,plain,
! [X0,X1] : apply(apply(apply(n,apply(b,apply(b,X0))),apply(n,apply(b,apply(b,X1)))),apply(n,apply(b,apply(b,X1)))) = apply(X0,apply(strong_fixed_point,X1)),
inference(paramodulation,[status(thm)],[f3582,f296]) ).
fof(f3718,plain,
! [X0] : apply(strong_fixed_point,X0) = apply(X0,apply(strong_fixed_point,X0)),
inference(backward_demodulation,[status(thm)],[f3684,f3582]) ).
fof(f3742,plain,
$false,
inference(resolution,[status(thm)],[f3718,f8]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.14 % Problem : COL044-8 : TPTP v8.1.2. Released v2.1.0.
% 0.07/0.15 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.12/0.35 % Computer : n020.cluster.edu
% 0.12/0.35 % Model : x86_64 x86_64
% 0.12/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.35 % Memory : 8042.1875MB
% 0.12/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.35 % CPULimit : 300
% 0.12/0.35 % WCLimit : 300
% 0.12/0.36 % DateTime : Mon Apr 29 22:22:47 EDT 2024
% 0.12/0.36 % CPUTime :
% 0.12/0.37 % Drodi V3.6.0
% 79.62/10.40 % Refutation found
% 79.62/10.40 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 79.62/10.40 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 81.46/10.68 % Elapsed time: 10.289591 seconds
% 81.46/10.68 % CPU time: 80.972950 seconds
% 81.46/10.68 % Total memory used: 1.139 GB
% 81.46/10.68 % Net memory used: 1.130 GB
%------------------------------------------------------------------------------