%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : LCL076-2 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n015.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 01:09:18 PM UTC 2026
% Result : Unsatisfiable 0.15s 5.42s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL076-2 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/5.38 % Computer : n015.cluster.edu
% 0.11/5.38 % Model : x86_64 x86_64
% 0.11/5.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/5.38 % Memory : 8046.5625MB
% 0.11/5.38 % OS : Linux 6.8.0-71-generic
% 0.11/5.39 % CPULimit : 300
% 0.11/5.39 % WCLimit : 300
% 0.11/5.39 % DateTime : Mon Sep 21 00:07:10 UTC 2026
% 0.11/5.39 % CPUTime :
% 0.15/5.40 % Drodi V4.1.1
% 0.15/5.42 % Refutation found
% 0.15/5.42 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.15/5.42 % SZS output start CNFRefutation for theBenchmark
% 0.15/5.42 fof(f1,axiom,(
% 0.15/5.42 (![X,Y]: (( ~ is_a_theorem(implies(X,Y))| ~ is_a_theorem(X)| is_a_theorem(Y) ) ))),
% 0.15/5.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/5.42 fof(f4,axiom,(
% 0.15/5.42 (![X,Y]: (is_a_theorem(implies(implies(not(X),not(Y)),implies(Y,X))) ))),
% 0.15/5.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/5.42 fof(f5,axiom,(
% 0.15/5.42 (![X1]: (is_a_theorem(implies(not(not(X1)),X1)) ))),
% 0.15/5.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/5.42 fof(f6,negated_conjecture,(
% 0.15/5.42 ~ is_a_theorem(implies(a,not(not(a)))) ),
% 0.15/5.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/5.42 fof(f7,plain,(
% 0.15/5.42 ![Y]: ((![X]: (~is_a_theorem(implies(X,Y))|~is_a_theorem(X)))|is_a_theorem(Y))),
% 0.15/5.42 inference(miniscoping,[status(thm)],[f1])).
% 0.15/5.42 fof(f8,plain,(
% 0.15/5.42 ![X0,X1]: (~is_a_theorem(implies(X0,X1))|~is_a_theorem(X0)|is_a_theorem(X1))),
% 0.15/5.42 inference(cnf_transformation,[status(thm)],[f7])).
% 0.15/5.42 fof(f11,plain,(
% 0.15/5.42 ![X0,X1]: (is_a_theorem(implies(implies(not(X0),not(X1)),implies(X1,X0))))),
% 0.15/5.42 inference(cnf_transformation,[status(thm)],[f4])).
% 0.15/5.42 fof(f12,plain,(
% 0.15/5.42 ![X0]: (is_a_theorem(implies(not(not(X0)),X0)))),
% 0.15/5.42 inference(cnf_transformation,[status(thm)],[f5])).
% 0.15/5.42 fof(f13,plain,(
% 0.15/5.42 ~is_a_theorem(implies(a,not(not(a))))),
% 0.15/5.42 inference(cnf_transformation,[status(thm)],[f6])).
% 0.15/5.42 fof(f19,plain,(
% 0.15/5.42 ![X0,X1]: (~is_a_theorem(implies(not(X0),not(X1)))|is_a_theorem(implies(X1,X0)))),
% 0.15/5.42 inference(resolution,[status(thm)],[f11,f8])).
% 0.15/5.42 fof(f20,plain,(
% 0.15/5.42 ![X0]: (is_a_theorem(implies(X0,not(not(X0)))))),
% 0.15/5.42 inference(resolution,[status(thm)],[f19,f12])).
% 0.15/5.42 fof(f23,plain,(
% 0.15/5.42 $false),
% 0.15/5.42 inference(backward_subsumption_resolution,[status(thm)],[f13,f20])).
% 0.15/5.42 % SZS output end CNFRefutation for theBenchmark.p
% 0.15/5.44 % Elapsed time: 0.047098 seconds
% 0.15/5.44 % CPU time: 0.143719 seconds
% 0.15/5.44 % Total memory used: 43.231 MB
% 0.15/5.44 % Net memory used: 42.843 MB
%------------------------------------------------------------------------------