%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : LCL043-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n019.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 01:09:15 PM UTC 2026
% Result : Unsatisfiable 0.09s 0.40s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL043-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n019.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Mon Sep 21 00:02:07 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.37 % Drodi V4.1.1
% 0.09/0.40 % Refutation found
% 0.09/0.40 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.09/0.40 % SZS output start CNFRefutation for theBenchmark
% 0.09/0.40 fof(f1,axiom,(
% 0.09/0.40 (![X,Y]: (( ~ is_a_theorem(implies(X,Y))| ~ is_a_theorem(X)| is_a_theorem(Y) ) ))),
% 0.09/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.40 fof(f2,axiom,(
% 0.09/0.40 (![X,Y]: (is_a_theorem(implies(X,implies(not(X),Y))) ))),
% 0.09/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.40 fof(f3,axiom,(
% 0.09/0.40 (![X,Y]: (is_a_theorem(implies(X,implies(Y,X))) ))),
% 0.09/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.40 fof(f6,axiom,(
% 0.09/0.40 (![X,Y]: (is_a_theorem(implies(implies(X,Y),implies(implies(not(X),Y),Y))) ))),
% 0.09/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.40 fof(f7,negated_conjecture,(
% 0.09/0.40 ~ is_a_theorem(implies(not(not(a)),a)) ),
% 0.09/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.40 fof(f8,plain,(
% 0.09/0.40 ![Y]: ((![X]: (~is_a_theorem(implies(X,Y))|~is_a_theorem(X)))|is_a_theorem(Y))),
% 0.09/0.40 inference(miniscoping,[status(thm)],[f1])).
% 0.09/0.40 fof(f9,plain,(
% 0.09/0.40 ![X0,X1]: (~is_a_theorem(implies(X0,X1))|~is_a_theorem(X0)|is_a_theorem(X1))),
% 0.09/0.40 inference(cnf_transformation,[status(thm)],[f8])).
% 0.09/0.40 fof(f10,plain,(
% 0.09/0.40 ![X0,X1]: (is_a_theorem(implies(X0,implies(not(X0),X1))))),
% 0.09/0.40 inference(cnf_transformation,[status(thm)],[f2])).
% 0.09/0.40 fof(f11,plain,(
% 0.09/0.40 ![X0,X1]: (is_a_theorem(implies(X0,implies(X1,X0))))),
% 0.09/0.40 inference(cnf_transformation,[status(thm)],[f3])).
% 0.09/0.40 fof(f14,plain,(
% 0.09/0.40 ![X0,X1]: (is_a_theorem(implies(implies(X0,X1),implies(implies(not(X0),X1),X1))))),
% 0.09/0.40 inference(cnf_transformation,[status(thm)],[f6])).
% 0.09/0.40 fof(f15,plain,(
% 0.09/0.40 ~is_a_theorem(implies(not(not(a)),a))),
% 0.09/0.40 inference(cnf_transformation,[status(thm)],[f7])).
% 0.09/0.40 fof(f36,plain,(
% 0.09/0.40 ![X0,X1]: (~is_a_theorem(implies(X0,X1))|is_a_theorem(implies(implies(not(X0),X1),X1)))),
% 0.09/0.40 inference(resolution,[status(thm)],[f14,f9])).
% 0.09/0.40 fof(f41,plain,(
% 0.09/0.40 ![X0,X1]: (~is_a_theorem(implies(X0,X1))|~is_a_theorem(implies(not(X0),X1))|is_a_theorem(X1))),
% 0.09/0.40 inference(resolution,[status(thm)],[f36,f9])).
% 0.09/0.40 fof(f43,plain,(
% 0.09/0.40 ![X0,X1]: (~is_a_theorem(implies(X0,implies(not(not(X0)),X1)))|is_a_theorem(implies(not(not(X0)),X1)))),
% 0.09/0.40 inference(resolution,[status(thm)],[f41,f10])).
% 0.09/0.40 fof(f113,plain,(
% 0.09/0.40 ![X0]: (is_a_theorem(implies(not(not(X0)),X0)))),
% 0.09/0.40 inference(resolution,[status(thm)],[f43,f11])).
% 0.09/0.40 fof(f117,plain,(
% 0.09/0.40 $false),
% 0.09/0.40 inference(backward_subsumption_resolution,[status(thm)],[f15,f113])).
% 0.09/0.40 % SZS output end CNFRefutation for theBenchmark.p
% 0.09/0.44 % Elapsed time: 0.069095 seconds
% 0.09/0.44 % CPU time: 0.228247 seconds
% 0.09/0.44 % Total memory used: 46.880 MB
% 0.09/0.44 % Net memory used: 46.313 MB
%------------------------------------------------------------------------------