%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : LCL115-2 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n007.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 01:06:52 PM UTC 2026
% Result : Unsatisfiable 0.17s 0.67s
% Output : CNFRefutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 27
% Number of leaves : 5
% Syntax : Number of formulae : 41 ( 41 unt; 0 def)
% Number of atoms : 41 ( 40 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 3 ( 3 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 5 ( 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 : 58 ( 58 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X] : implies(truth,X) = X,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [X,Y,Z] : implies(implies(X,Y),implies(implies(Y,Z),implies(X,Z))) = truth,
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,
implies(not(implies(a,b)),not(b)) != truth,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f6,plain,
! [X0] : implies(truth,X0) = X0,
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f7,plain,
! [X0,X1,X2] : implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2))) = truth,
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f8,plain,
! [X0,X1] : implies(implies(X0,X1),X1) = implies(implies(X1,X0),X0),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f9,plain,
! [X0,X1] : implies(implies(not(X0),not(X1)),implies(X1,X0)) = truth,
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f10,plain,
implies(not(implies(a,b)),not(b)) != truth,
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f18,plain,
! [X0] : implies(X0,X0) = implies(implies(X0,truth),truth),
inference(paramodulation,[status(thm)],[f6,f8]) ).
fof(f39,plain,
! [X0] : implies(implies(not(X0),not(truth)),X0) = truth,
inference(paramodulation,[status(thm)],[f6,f9]) ).
fof(f46,plain,
! [X0,X1] : implies(X0,implies(implies(X0,X1),implies(truth,X1))) = truth,
inference(paramodulation,[status(thm)],[f6,f7]) ).
fof(f71,plain,
! [X0,X1] : implies(X0,implies(implies(X0,X1),X1)) = truth,
inference(forward_demodulation,[status(thm)],[f6,f46]) ).
fof(f77,plain,
! [X0] : implies(implies(truth,X0),X0) = truth,
inference(paramodulation,[status(thm)],[f6,f71]) ).
fof(f78,plain,
! [X0] : implies(X0,implies(X0,X0)) = truth,
inference(paramodulation,[status(thm)],[f18,f71]) ).
fof(f97,plain,
! [X0] : implies(X0,X0) = truth,
inference(forward_demodulation,[status(thm)],[f6,f77]) ).
fof(f123,plain,
! [X0] : implies(X0,truth) = truth,
inference(forward_demodulation,[status(thm)],[f97,f78]) ).
fof(f136,plain,
! [X0,X1] : implies(truth,implies(implies(truth,X0),implies(X1,X0))) = truth,
inference(paramodulation,[status(thm)],[f123,f7]) ).
fof(f148,plain,
! [X0,X1] : implies(implies(truth,X0),implies(X1,X0)) = truth,
inference(forward_demodulation,[status(thm)],[f6,f136]) ).
fof(f149,plain,
! [X0,X1] : implies(X0,implies(X1,X0)) = truth,
inference(forward_demodulation,[status(thm)],[f6,f148]) ).
fof(f172,plain,
! [X0,X1,X2] : implies(truth,implies(implies(implies(X0,X1),X2),implies(X1,X2))) = truth,
inference(paramodulation,[status(thm)],[f149,f7]) ).
fof(f179,plain,
! [X0,X1,X2] : implies(implies(implies(X0,X1),X2),implies(X1,X2)) = truth,
inference(forward_demodulation,[status(thm)],[f6,f172]) ).
fof(f374,plain,
! [X0] : implies(truth,implies(not(truth),X0)) = truth,
inference(paramodulation,[status(thm)],[f39,f179]) ).
fof(f375,plain,
! [X0,X1] : implies(truth,implies(not(X0),implies(X0,X1))) = truth,
inference(paramodulation,[status(thm)],[f9,f179]) ).
fof(f426,plain,
! [X0] : implies(not(truth),X0) = truth,
inference(forward_demodulation,[status(thm)],[f6,f374]) ).
fof(f427,plain,
! [X0,X1] : implies(not(X0),implies(X0,X1)) = truth,
inference(forward_demodulation,[status(thm)],[f6,f375]) ).
fof(f475,plain,
! [X0] : implies(implies(X0,not(truth)),not(truth)) = implies(truth,X0),
inference(paramodulation,[status(thm)],[f426,f8]) ).
fof(f489,plain,
! [X0] : implies(implies(X0,not(truth)),not(truth)) = X0,
inference(forward_demodulation,[status(thm)],[f6,f475]) ).
fof(f644,plain,
! [X0] : implies(not(implies(X0,not(truth))),X0) = truth,
inference(paramodulation,[status(thm)],[f489,f427]) ).
fof(f698,plain,
! [X0] : implies(truth,implies(X0,implies(not(X0),not(truth)))) = truth,
inference(paramodulation,[status(thm)],[f644,f9]) ).
fof(f723,plain,
! [X0] : implies(X0,implies(not(X0),not(truth))) = truth,
inference(forward_demodulation,[status(thm)],[f6,f698]) ).
fof(f761,plain,
! [X0] : implies(implies(implies(not(X0),not(truth)),X0),X0) = implies(truth,implies(not(X0),not(truth))),
inference(paramodulation,[status(thm)],[f723,f8]) ).
fof(f775,plain,
! [X0] : implies(truth,X0) = implies(truth,implies(not(X0),not(truth))),
inference(forward_demodulation,[status(thm)],[f39,f761]) ).
fof(f776,plain,
! [X0] : X0 = implies(truth,implies(not(X0),not(truth))),
inference(forward_demodulation,[status(thm)],[f6,f775]) ).
fof(f777,plain,
! [X0] : X0 = implies(not(X0),not(truth)),
inference(forward_demodulation,[status(thm)],[f6,f776]) ).
fof(f791,plain,
! [X0] : implies(X0,not(truth)) = not(X0),
inference(paramodulation,[status(thm)],[f777,f489]) ).
fof(f1300,plain,
! [X0,X1] : implies(not(implies(X0,X1)),implies(X1,not(truth))) = truth,
inference(paramodulation,[status(thm)],[f791,f179]) ).
fof(f1352,plain,
! [X0,X1] : implies(not(implies(X0,X1)),not(X1)) = truth,
inference(forward_demodulation,[status(thm)],[f791,f1300]) ).
fof(f1747,plain,
truth != truth,
inference(backward_demodulation,[status(thm)],[f1352,f10]) ).
fof(f1797,plain,
$false,
inference(trivial_equality_resolution,[status(thm)],[f1747]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : LCL115-2 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.05 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.17/0.44 % Computer : n007.cluster.edu
% 0.17/0.44 % Model : x86_64 x86_64
% 0.17/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.44 % Memory : 8046.5625MB
% 0.17/0.44 % OS : Linux 6.8.0-71-generic
% 0.17/0.44 % CPULimit : 300
% 0.17/0.44 % WCLimit : 300
% 0.17/0.44 % DateTime : Mon Sep 21 00:03:36 UTC 2026
% 0.17/0.44 % CPUTime :
% 0.17/0.45 % Drodi V4.1.1
% 0.17/0.67 % Refutation found
% 0.17/0.67 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.17/0.67 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.17/0.71 % Elapsed time: 0.247147 seconds
% 0.17/0.71 % CPU time: 1.438552 seconds
% 0.17/0.71 % Total memory used: 35.957 MB
% 0.17/0.71 % Net memory used: 35.182 MB
%------------------------------------------------------------------------------