TSTP Solution File: LCL133-1 by Drodi---3.6.0
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%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : LCL133-1 : TPTP v8.1.2. Released v1.0.0.
% 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 20:26:27 EDT 2024
% Result : Unsatisfiable 0.06s 0.27s
% Output : CNFRefutation 0.06s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 5
% 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 : 4 ( 3 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 45 ( 45 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X] : implies(truth,X) = X,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [X,Y,Z] : implies(implies(X,Y),implies(implies(Y,Z),implies(X,Z))) = truth,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f3,axiom,
! [X,Y] : implies(implies(X,Y),Y) = implies(implies(Y,X),X),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f5,negated_conjecture,
! [X,Y] : implies(X,Y) = implies(Y,X),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f6,negated_conjecture,
x != y,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f7,plain,
! [X0] : implies(truth,X0) = X0,
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f8,plain,
! [X0,X1,X2] : implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2))) = truth,
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f9,plain,
! [X0,X1] : implies(implies(X0,X1),X1) = implies(implies(X1,X0),X0),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f11,plain,
! [X0,X1] : implies(X0,X1) = implies(X1,X0),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f12,plain,
x != y,
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f13,plain,
! [X0] : X0 = implies(X0,truth),
inference(paramodulation,[status(thm)],[f7,f11]) ).
fof(f21,plain,
! [X0] : implies(X0,truth) = implies(implies(truth,X0),X0),
inference(paramodulation,[status(thm)],[f13,f9]) ).
fof(f22,plain,
! [X0] : X0 = implies(implies(truth,X0),X0),
inference(forward_demodulation,[status(thm)],[f13,f21]) ).
fof(f23,plain,
! [X0] : X0 = implies(X0,implies(truth,X0)),
inference(forward_demodulation,[status(thm)],[f11,f22]) ).
fof(f24,plain,
! [X0] : X0 = implies(X0,X0),
inference(forward_demodulation,[status(thm)],[f7,f23]) ).
fof(f124,plain,
! [X0,X1,X2] : implies(implies(implies(implies(X0,X1),implies(X2,X1)),implies(X2,X0)),implies(X2,X0)) = implies(truth,implies(implies(X0,X1),implies(X2,X1))),
inference(paramodulation,[status(thm)],[f8,f9]) ).
fof(f125,plain,
! [X0,X1,X2] : implies(implies(X0,X1),implies(implies(implies(X1,X2),implies(X0,X2)),implies(X0,X1))) = implies(truth,implies(implies(X1,X2),implies(X0,X2))),
inference(forward_demodulation,[status(thm)],[f11,f124]) ).
fof(f126,plain,
! [X0,X1,X2] : implies(implies(X0,X1),implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2)))) = implies(truth,implies(implies(X1,X2),implies(X0,X2))),
inference(forward_demodulation,[status(thm)],[f11,f125]) ).
fof(f127,plain,
! [X0,X1,X2] : implies(implies(X0,X1),truth) = implies(truth,implies(implies(X1,X2),implies(X0,X2))),
inference(forward_demodulation,[status(thm)],[f8,f126]) ).
fof(f128,plain,
! [X0,X1,X2] : implies(X0,X1) = implies(truth,implies(implies(X1,X2),implies(X0,X2))),
inference(forward_demodulation,[status(thm)],[f13,f127]) ).
fof(f129,plain,
! [X0,X1,X2] : implies(X0,X1) = implies(implies(X1,X2),implies(X0,X2)),
inference(forward_demodulation,[status(thm)],[f7,f128]) ).
fof(f136,plain,
! [X0,X1] : implies(implies(X0,X1),implies(X0,X1)) = truth,
inference(backward_demodulation,[status(thm)],[f129,f8]) ).
fof(f137,plain,
! [X0] : implies(X0,X0) = truth,
inference(forward_demodulation,[status(thm)],[f129,f136]) ).
fof(f138,plain,
! [X0] : X0 = truth,
inference(forward_demodulation,[status(thm)],[f24,f137]) ).
fof(f148,plain,
! [X0,X1] : X0 = X1,
inference(paramodulation,[status(thm)],[f138,f138]) ).
fof(f149,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[f12,f148]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.06 % Problem : LCL133-1 : TPTP v8.1.2. Released v1.0.0.
% 0.00/0.07 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.06/0.25 % Computer : n005.cluster.edu
% 0.06/0.25 % Model : x86_64 x86_64
% 0.06/0.25 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.25 % Memory : 8042.1875MB
% 0.06/0.25 % OS : Linux 3.10.0-693.el7.x86_64
% 0.06/0.25 % CPULimit : 300
% 0.06/0.25 % WCLimit : 300
% 0.06/0.25 % DateTime : Mon Apr 29 20:26:41 EDT 2024
% 0.06/0.25 % CPUTime :
% 0.06/0.26 % Drodi V3.6.0
% 0.06/0.27 % Refutation found
% 0.06/0.27 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.06/0.27 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.06/0.27 % Elapsed time: 0.018266 seconds
% 0.06/0.27 % CPU time: 0.056042 seconds
% 0.06/0.27 % Total memory used: 3.576 MB
% 0.06/0.27 % Net memory used: 3.496 MB
%------------------------------------------------------------------------------