TSTP Solution File: LDA001-1 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : LDA001-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n015.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 20:28:27 EDT 2024
% Result : Unsatisfiable 0.14s 0.36s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 5
% Syntax : Number of formulae : 33 ( 33 unt; 0 def)
% Number of atoms : 33 ( 32 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 6 ( 6 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 1 avg)
% Maximal term depth : 3 ( 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 : 10 ( 10 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X,Y,Z] : f(X,f(Y,Z)) = f(f(X,Y),f(X,Z)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,axiom,
n2 = f(n1,n1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f3,axiom,
n3 = f(n2,n1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f4,axiom,
u = f(n2,n2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f5,negated_conjecture,
f(f(n3,n2),u) != f(f(u,u),u),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f6,plain,
! [X0,X1,X2] : f(X0,f(X1,X2)) = f(f(X0,X1),f(X0,X2)),
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f7,plain,
n2 = f(n1,n1),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f8,plain,
n3 = f(n2,n1),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f9,plain,
u = f(n2,n2),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f10,plain,
f(f(n3,n2),u) != f(f(u,u),u),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f12,plain,
! [X0] : f(n2,f(n2,X0)) = f(u,f(n2,X0)),
inference(paramodulation,[status(thm)],[f9,f6]) ).
fof(f13,plain,
! [X0] : f(n2,f(n1,X0)) = f(n3,f(n2,X0)),
inference(paramodulation,[status(thm)],[f8,f6]) ).
fof(f15,plain,
! [X0] : f(n2,f(X0,n2)) = f(f(n2,X0),u),
inference(paramodulation,[status(thm)],[f9,f6]) ).
fof(f17,plain,
f(n2,f(n2,n2)) = f(u,u),
inference(paramodulation,[status(thm)],[f9,f12]) ).
fof(f18,plain,
f(n2,u) = f(u,u),
inference(forward_demodulation,[status(thm)],[f9,f17]) ).
fof(f19,plain,
f(n2,f(n2,n1)) = f(u,n3),
inference(paramodulation,[status(thm)],[f8,f12]) ).
fof(f20,plain,
f(n2,n3) = f(u,n3),
inference(forward_demodulation,[status(thm)],[f8,f19]) ).
fof(f23,plain,
f(f(n3,n2),u) != f(f(n2,u),u),
inference(backward_demodulation,[status(thm)],[f18,f10]) ).
fof(f24,plain,
f(f(n3,n2),u) != f(n2,f(u,n2)),
inference(forward_demodulation,[status(thm)],[f15,f23]) ).
fof(f30,plain,
f(n2,f(n1,n1)) = f(n3,n3),
inference(paramodulation,[status(thm)],[f8,f13]) ).
fof(f31,plain,
f(n2,n2) = f(n3,n3),
inference(forward_demodulation,[status(thm)],[f7,f30]) ).
fof(f32,plain,
u = f(n3,n3),
inference(forward_demodulation,[status(thm)],[f9,f31]) ).
fof(f35,plain,
! [X0] : f(n3,f(X0,n3)) = f(f(n3,X0),u),
inference(paramodulation,[status(thm)],[f32,f6]) ).
fof(f37,plain,
f(n3,f(n2,n3)) != f(n2,f(u,n2)),
inference(backward_demodulation,[status(thm)],[f35,f24]) ).
fof(f38,plain,
f(n2,f(n1,n3)) != f(n2,f(u,n2)),
inference(forward_demodulation,[status(thm)],[f13,f37]) ).
fof(f49,plain,
f(n3,f(n3,n3)) = f(u,u),
inference(paramodulation,[status(thm)],[f32,f35]) ).
fof(f50,plain,
f(n3,u) = f(u,u),
inference(forward_demodulation,[status(thm)],[f32,f49]) ).
fof(f51,plain,
f(n3,u) = f(n2,u),
inference(forward_demodulation,[status(thm)],[f18,f50]) ).
fof(f69,plain,
f(n3,f(u,n3)) = f(f(n2,u),u),
inference(paramodulation,[status(thm)],[f51,f35]) ).
fof(f70,plain,
f(n3,f(n2,n3)) = f(f(n2,u),u),
inference(forward_demodulation,[status(thm)],[f20,f69]) ).
fof(f71,plain,
f(n2,f(n1,n3)) = f(f(n2,u),u),
inference(forward_demodulation,[status(thm)],[f13,f70]) ).
fof(f72,plain,
f(n2,f(n1,n3)) = f(n2,f(u,n2)),
inference(forward_demodulation,[status(thm)],[f15,f71]) ).
fof(f73,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f72,f38]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : LDA001-1 : TPTP v8.1.2. Released v1.0.0.
% 0.08/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.14/0.35 % Computer : n015.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 22:37:17 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.36 % Drodi V3.6.0
% 0.14/0.36 % Refutation found
% 0.14/0.36 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.14/0.36 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.14/0.37 % Elapsed time: 0.015895 seconds
% 0.14/0.37 % CPU time: 0.032280 seconds
% 0.14/0.37 % Total memory used: 2.708 MB
% 0.14/0.37 % Net memory used: 2.678 MB
%------------------------------------------------------------------------------