%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : LCL116-2 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n017.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 0.14s 0.53s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 32
% Number of leaves : 5
% Syntax : Number of formulae : 54 ( 54 unt; 0 def)
% Number of atoms : 54 ( 53 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 3 ( 3 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 avg)
% Maximal term depth : 6 ( 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 : 80 ( 80 !; 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(a),implies(b,not(implies(b,a)))) != 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(a),implies(b,not(implies(b,a)))) != truth,
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f19,plain,
! [X0] : implies(X0,X0) = implies(implies(X0,truth),truth),
inference(paramodulation,[status(thm)],[f6,f8]) ).
fof(f40,plain,
! [X0] : implies(implies(not(X0),not(truth)),X0) = truth,
inference(paramodulation,[status(thm)],[f6,f9]) ).
fof(f44,plain,
! [X0,X1,X2] : implies(truth,implies(implies(implies(X0,X1),X2),implies(implies(not(X1),not(X0)),X2))) = truth,
inference(paramodulation,[status(thm)],[f9,f7]) ).
fof(f49,plain,
! [X0,X1] : implies(X0,implies(implies(X0,X1),implies(truth,X1))) = truth,
inference(paramodulation,[status(thm)],[f6,f7]) ).
fof(f61,plain,
! [X0,X1] : implies(implies(X0,truth),implies(X1,implies(X0,X1))) = truth,
inference(paramodulation,[status(thm)],[f6,f7]) ).
fof(f75,plain,
! [X0,X1,X2] : implies(implies(implies(X0,X1),X2),implies(implies(not(X1),not(X0)),X2)) = truth,
inference(forward_demodulation,[status(thm)],[f6,f44]) ).
fof(f78,plain,
! [X0,X1] : implies(X0,implies(implies(X0,X1),X1)) = truth,
inference(forward_demodulation,[status(thm)],[f6,f49]) ).
fof(f86,plain,
! [X0] : implies(implies(truth,X0),X0) = truth,
inference(paramodulation,[status(thm)],[f6,f78]) ).
fof(f88,plain,
! [X0] : implies(X0,implies(X0,X0)) = truth,
inference(paramodulation,[status(thm)],[f19,f78]) ).
fof(f118,plain,
! [X0] : implies(X0,X0) = truth,
inference(forward_demodulation,[status(thm)],[f6,f86]) ).
fof(f130,plain,
! [X0,X1] : implies(truth,implies(X0,implies(X1,X0))) = truth,
inference(backward_demodulation,[status(thm)],[f131,f61]) ).
fof(f131,plain,
! [X0] : implies(X0,truth) = truth,
inference(forward_demodulation,[status(thm)],[f118,f88]) ).
fof(f157,plain,
! [X0,X1] : implies(X0,implies(X1,X0)) = truth,
inference(forward_demodulation,[status(thm)],[f6,f130]) ).
fof(f222,plain,
! [X0,X1,X2] : implies(truth,implies(implies(implies(X0,X1),X2),implies(X1,X2))) = truth,
inference(paramodulation,[status(thm)],[f157,f7]) ).
fof(f224,plain,
! [X0,X1] : implies(implies(implies(X0,X1),X1),X1) = implies(truth,implies(X0,X1)),
inference(paramodulation,[status(thm)],[f157,f8]) ).
fof(f229,plain,
! [X0,X1,X2] : implies(implies(implies(X0,X1),X2),implies(X1,X2)) = truth,
inference(forward_demodulation,[status(thm)],[f6,f222]) ).
fof(f230,plain,
! [X0,X1] : implies(implies(implies(X0,X1),X1),X1) = implies(X0,X1),
inference(forward_demodulation,[status(thm)],[f6,f224]) ).
fof(f235,plain,
! [X0,X1] : implies(implies(implies(X0,X1),X1),X0) = implies(X1,X0),
inference(paramodulation,[status(thm)],[f8,f230]) ).
fof(f291,plain,
implies(truth,not(not(truth))) = implies(not(truth),not(not(truth))),
inference(paramodulation,[status(thm)],[f40,f235]) ).
fof(f322,plain,
not(not(truth)) = implies(not(truth),not(not(truth))),
inference(forward_demodulation,[status(thm)],[f6,f291]) ).
fof(f357,plain,
! [X0] : implies(truth,implies(not(truth),X0)) = truth,
inference(paramodulation,[status(thm)],[f40,f229]) ).
fof(f408,plain,
not(not(truth)) = truth,
inference(backward_demodulation,[status(thm)],[f412,f322]) ).
fof(f412,plain,
! [X0] : implies(not(truth),X0) = truth,
inference(forward_demodulation,[status(thm)],[f6,f357]) ).
fof(f659,plain,
! [X0] : implies(truth,implies(implies(not(not(truth)),not(not(X0))),X0)) = truth,
inference(paramodulation,[status(thm)],[f40,f75]) ).
fof(f720,plain,
! [X0] : implies(implies(not(not(truth)),not(not(X0))),X0) = truth,
inference(forward_demodulation,[status(thm)],[f6,f659]) ).
fof(f721,plain,
! [X0] : implies(implies(truth,not(not(X0))),X0) = truth,
inference(forward_demodulation,[status(thm)],[f408,f720]) ).
fof(f722,plain,
! [X0] : implies(not(not(X0)),X0) = truth,
inference(forward_demodulation,[status(thm)],[f6,f721]) ).
fof(f763,plain,
! [X0] : implies(truth,implies(X0,not(not(X0)))) = truth,
inference(paramodulation,[status(thm)],[f722,f9]) ).
fof(f782,plain,
! [X0] : implies(X0,not(not(X0))) = truth,
inference(forward_demodulation,[status(thm)],[f6,f763]) ).
fof(f821,plain,
! [X0] : implies(implies(not(not(X0)),X0),X0) = implies(truth,not(not(X0))),
inference(paramodulation,[status(thm)],[f782,f8]) ).
fof(f839,plain,
! [X0] : implies(truth,X0) = implies(truth,not(not(X0))),
inference(forward_demodulation,[status(thm)],[f722,f821]) ).
fof(f840,plain,
! [X0] : X0 = implies(truth,not(not(X0))),
inference(forward_demodulation,[status(thm)],[f6,f839]) ).
fof(f855,plain,
! [X0] : X0 = not(not(X0)),
inference(forward_demodulation,[status(thm)],[f6,f840]) ).
fof(f866,plain,
! [X0,X1] : implies(implies(not(X0),X1),implies(not(X1),X0)) = truth,
inference(paramodulation,[status(thm)],[f855,f9]) ).
fof(f1788,plain,
! [X0,X1] : implies(implies(implies(not(X0),X1),implies(not(X1),X0)),implies(not(X1),X0)) = implies(truth,implies(not(X0),X1)),
inference(paramodulation,[status(thm)],[f866,f8]) ).
fof(f1832,plain,
! [X0,X1] : implies(truth,implies(not(X0),X1)) = implies(truth,implies(not(X1),X0)),
inference(forward_demodulation,[status(thm)],[f866,f1788]) ).
fof(f1833,plain,
! [X0,X1] : implies(not(X0),X1) = implies(truth,implies(not(X1),X0)),
inference(forward_demodulation,[status(thm)],[f6,f1832]) ).
fof(f1843,plain,
! [X0,X1] : implies(not(X0),X1) = implies(not(X1),X0),
inference(forward_demodulation,[status(thm)],[f6,f1833]) ).
fof(f1854,plain,
! [X0,X1] : implies(X0,X1) = implies(not(X1),not(X0)),
inference(paramodulation,[status(thm)],[f855,f1843]) ).
fof(f2000,plain,
! [X0,X1] : implies(X0,not(X1)) = implies(X1,not(X0)),
inference(paramodulation,[status(thm)],[f855,f1854]) ).
fof(f2020,plain,
! [X0,X1] : implies(not(X0),implies(implies(X1,X0),not(X1))) = truth,
inference(paramodulation,[status(thm)],[f1854,f78]) ).
fof(f2043,plain,
truth != truth,
inference(backward_demodulation,[status(thm)],[f2044,f10]) ).
fof(f2044,plain,
! [X0,X1] : implies(not(X0),implies(X1,not(implies(X1,X0)))) = truth,
inference(forward_demodulation,[status(thm)],[f2000,f2020]) ).
fof(f2056,plain,
$false,
inference(trivial_equality_resolution,[status(thm)],[f2043]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL116-2 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.35 % Computer : n017.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Mon Sep 21 00:01:26 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.08/0.36 % Drodi V4.1.1
% 0.14/0.53 % Refutation found
% 0.14/0.53 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.14/0.53 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.14/0.55 % Elapsed time: 0.187474 seconds
% 0.14/0.55 % CPU time: 1.371469 seconds
% 0.14/0.55 % Total memory used: 49.170 MB
% 0.14/0.55 % Net memory used: 47.437 MB
%------------------------------------------------------------------------------