%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : LCL176-1 : TPTP v9.3.1. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n009.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 01:09:30 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 : LCL176-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.37 % Computer : n009.cluster.edu
% 0.09/0.37 % Model : x86_64 x86_64
% 0.09/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.37 % Memory : 8046.5625MB
% 0.09/0.37 % OS : Linux 6.8.0-71-generic
% 0.09/0.37 % CPULimit : 300
% 0.09/0.37 % WCLimit : 300
% 0.09/0.37 % DateTime : Mon Sep 21 00:08:57 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.38 % 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 (![A]: (axiom(or(not(or(A,A)),A)) ))),
% 0.09/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.40 fof(f2,axiom,(
% 0.09/0.40 (![A,B]: (axiom(or(not(A),or(B,A))) ))),
% 0.09/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.40 fof(f6,axiom,(
% 0.09/0.40 (![X]: (( theorem(X)| ~ axiom(X) ) ))),
% 0.09/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.40 fof(f8,axiom,(
% 0.09/0.40 (![X,Z,Y]: (( theorem(or(not(X),Z))| ~ axiom(or(not(X),Y))| ~ theorem(or(not(Y),Z)) ) ))),
% 0.09/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.40 fof(f9,negated_conjecture,(
% 0.09/0.40 ~ theorem(or(not(p),p)) ),
% 0.09/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.40 fof(f10,plain,(
% 0.09/0.40 ![X0]: (axiom(or(not(or(X0,X0)),X0)))),
% 0.09/0.40 inference(cnf_transformation,[status(thm)],[f1])).
% 0.09/0.40 fof(f11,plain,(
% 0.09/0.40 ![X0,X1]: (axiom(or(not(X0),or(X1,X0))))),
% 0.09/0.40 inference(cnf_transformation,[status(thm)],[f2])).
% 0.09/0.40 fof(f15,plain,(
% 0.09/0.40 ![X0]: (theorem(X0)|~axiom(X0))),
% 0.09/0.40 inference(cnf_transformation,[status(thm)],[f6])).
% 0.09/0.40 fof(f18,plain,(
% 0.09/0.40 ![Z,Y]: ((![X]: (theorem(or(not(X),Z))|~axiom(or(not(X),Y))))|~theorem(or(not(Y),Z)))),
% 0.09/0.40 inference(miniscoping,[status(thm)],[f8])).
% 0.09/0.40 fof(f19,plain,(
% 0.09/0.40 ![X0,X1,X2]: (theorem(or(not(X0),X1))|~axiom(or(not(X0),X2))|~theorem(or(not(X2),X1)))),
% 0.09/0.40 inference(cnf_transformation,[status(thm)],[f18])).
% 0.09/0.40 fof(f20,plain,(
% 0.09/0.40 ~theorem(or(not(p),p))),
% 0.09/0.40 inference(cnf_transformation,[status(thm)],[f9])).
% 0.09/0.40 fof(f22,plain,(
% 0.09/0.40 ![X0]: (theorem(or(not(or(X0,X0)),X0)))),
% 0.09/0.40 inference(resolution,[status(thm)],[f10,f15])).
% 0.09/0.40 fof(f23,plain,(
% 0.09/0.40 ![X0,X1]: (theorem(or(not(X0),X1))|~axiom(or(not(X0),or(X1,X1))))),
% 0.09/0.40 inference(resolution,[status(thm)],[f22,f19])).
% 0.09/0.40 fof(f26,plain,(
% 0.09/0.40 ![X0]: (theorem(or(not(X0),X0)))),
% 0.09/0.40 inference(resolution,[status(thm)],[f11,f23])).
% 0.09/0.40 fof(f30,plain,(
% 0.09/0.40 $false),
% 0.09/0.40 inference(backward_subsumption_resolution,[status(thm)],[f20,f26])).
% 0.09/0.40 % SZS output end CNFRefutation for theBenchmark.p
% 0.09/0.42 % Elapsed time: 0.049193 seconds
% 0.09/0.42 % CPU time: 0.133010 seconds
% 0.09/0.42 % Total memory used: 55.665 MB
% 0.09/0.42 % Net memory used: 55.196 MB
%------------------------------------------------------------------------------