%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : LCL133-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n003.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 01:06:54 PM UTC 2026
% Result : Unsatisfiable 0.18s 5.48s
% Output : CNFRefutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 5
% Syntax : Number of formulae : 28 ( 28 unt; 0 def)
% Number of atoms : 28 ( 27 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 3 ( 2 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 36 ( 36 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X] : implies(truth,X) = X,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f3,axiom,
! [X,Y] : implies(implies(X,Y),Y) = implies(implies(Y,X),X),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4,axiom,
! [X,Y] : implies(implies(not(X),not(Y)),implies(Y,X)) = truth,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f5,negated_conjecture,
! [X,Y] : implies(X,Y) = implies(Y,X),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f6,negated_conjecture,
x != y,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f7,plain,
! [X0] : implies(truth,X0) = X0,
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f9,plain,
! [X0,X1] : implies(implies(X0,X1),X1) = implies(implies(X1,X0),X0),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f10,plain,
! [X0,X1] : implies(implies(not(X0),not(X1)),implies(X1,X0)) = truth,
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f11,plain,
! [X0,X1] : implies(X0,X1) = implies(X1,X0),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f12,plain,
x != y,
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f13,plain,
! [X1,X0] : implies(X1,implies(X0,X1)) = implies(implies(X1,X0),X0),
inference(forward_demodulation,[status(thm)],[f11,f9]) ).
fof(f14,plain,
! [X0,X1] : implies(X0,implies(X1,X0)) = implies(X1,implies(X0,X1)),
inference(forward_demodulation,[status(thm)],[f11,f13]) ).
fof(f17,plain,
! [X0,X1] : implies(X0,implies(X1,X0)) = implies(X1,implies(X1,X0)),
inference(paramodulation,[status(thm)],[f11,f14]) ).
fof(f81,plain,
! [X0] : implies(truth,X0) = implies(X0,implies(truth,X0)),
inference(paramodulation,[status(thm)],[f17,f7]) ).
fof(f85,plain,
! [X0] : X0 = implies(X0,truth),
inference(paramodulation,[status(thm)],[f11,f7]) ).
fof(f101,plain,
! [X0] : X0 = implies(X0,implies(truth,X0)),
inference(forward_demodulation,[status(thm)],[f7,f81]) ).
fof(f102,plain,
! [X0] : X0 = implies(X0,X0),
inference(forward_demodulation,[status(thm)],[f7,f101]) ).
fof(f269,plain,
! [X0,X1] : implies(implies(X0,X1),implies(not(X1),not(X0))) = truth,
inference(forward_demodulation,[status(thm)],[f11,f10]) ).
fof(f280,plain,
! [X0] : truth = implies(X0,implies(not(X0),not(X0))),
inference(paramodulation,[status(thm)],[f102,f269]) ).
fof(f297,plain,
! [X0] : truth = implies(X0,not(X0)),
inference(forward_demodulation,[status(thm)],[f102,f280]) ).
fof(f434,plain,
! [X0] : implies(X0,implies(X0,not(X0))) = implies(not(X0),truth),
inference(paramodulation,[status(thm)],[f297,f17]) ).
fof(f447,plain,
! [X0] : implies(X0,truth) = implies(not(X0),truth),
inference(forward_demodulation,[status(thm)],[f297,f434]) ).
fof(f448,plain,
! [X0] : X0 = implies(not(X0),truth),
inference(forward_demodulation,[status(thm)],[f85,f447]) ).
fof(f449,plain,
! [X0] : X0 = not(X0),
inference(forward_demodulation,[status(thm)],[f85,f448]) ).
fof(f457,plain,
! [X0] : truth = implies(X0,X0),
inference(backward_demodulation,[status(thm)],[f449,f297]) ).
fof(f462,plain,
! [X0] : truth = X0,
inference(paramodulation,[status(thm)],[f102,f457]) ).
fof(f476,plain,
! [X0,X1] : X0 = X1,
inference(paramodulation,[status(thm)],[f462,f462]) ).
fof(f477,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[f12,f476]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : LCL133-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.06 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/5.45 % Computer : n003.cluster.edu
% 0.18/5.45 % Model : x86_64 x86_64
% 0.18/5.45 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/5.45 % Memory : 8046.5625MB
% 0.18/5.45 % OS : Linux 6.8.0-71-generic
% 0.18/5.45 % CPULimit : 300
% 0.18/5.45 % WCLimit : 300
% 0.18/5.45 % DateTime : Mon Sep 21 00:08:21 UTC 2026
% 0.18/5.46 % CPUTime :
% 0.18/5.47 % Drodi V4.1.1
% 0.18/5.48 % Refutation found
% 0.18/5.48 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.18/5.48 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.21/5.50 % Elapsed time: 0.038114 seconds
% 0.21/5.50 % CPU time: 0.121668 seconds
% 0.21/5.50 % Total memory used: 3.058 MB
% 0.21/5.50 % Net memory used: 2.961 MB
%------------------------------------------------------------------------------