%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : LCL205-1 : 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 01:09:35 PM UTC 2026
% Result : Unsatisfiable 0.11s 0.44s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL205-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.37 % Computer : n009.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Mon Sep 21 00:11:27 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.38 % Drodi V4.1.1
% 0.11/0.44 % Refutation found
% 0.11/0.44 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.11/0.44 % SZS output start CNFRefutation for theBenchmark
% 0.11/0.44 fof(f1,axiom,(
% 0.11/0.44 (![A]: (axiom(or(not(or(A,A)),A)) ))),
% 0.11/0.44 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.44 fof(f2,axiom,(
% 0.11/0.44 (![A,B]: (axiom(or(not(A),or(B,A))) ))),
% 0.11/0.44 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.44 fof(f3,axiom,(
% 0.11/0.44 (![A,B]: (axiom(or(not(or(A,B)),or(B,A))) ))),
% 0.11/0.44 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.44 fof(f4,axiom,(
% 0.11/0.44 (![A,B,C]: (axiom(or(not(or(A,or(B,C))),or(B,or(A,C)))) ))),
% 0.11/0.44 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.44 fof(f6,axiom,(
% 0.11/0.44 (![X]: (( theorem(X)| ~ axiom(X) ) ))),
% 0.11/0.44 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.44 fof(f7,axiom,(
% 0.11/0.44 (![X,Y]: (( theorem(X)| ~ axiom(or(not(Y),X))| ~ theorem(Y) ) ))),
% 0.11/0.44 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.44 fof(f8,axiom,(
% 0.11/0.44 (![X,Z,Y]: (( theorem(or(not(X),Z))| ~ axiom(or(not(X),Y))| ~ theorem(or(not(Y),Z)) ) ))),
% 0.11/0.44 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.44 fof(f9,negated_conjecture,(
% 0.11/0.44 ~ theorem(or(not(not(or(not(p),q))),or(not(p),not(q)))) ),
% 0.11/0.44 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.44 fof(f10,plain,(
% 0.11/0.44 ![X0]: (axiom(or(not(or(X0,X0)),X0)))),
% 0.11/0.44 inference(cnf_transformation,[status(thm)],[f1])).
% 0.11/0.44 fof(f11,plain,(
% 0.11/0.44 ![X0,X1]: (axiom(or(not(X0),or(X1,X0))))),
% 0.11/0.44 inference(cnf_transformation,[status(thm)],[f2])).
% 0.11/0.44 fof(f12,plain,(
% 0.11/0.44 ![X0,X1]: (axiom(or(not(or(X0,X1)),or(X1,X0))))),
% 0.11/0.44 inference(cnf_transformation,[status(thm)],[f3])).
% 0.11/0.44 fof(f13,plain,(
% 0.11/0.44 ![X0,X1,X2]: (axiom(or(not(or(X0,or(X1,X2))),or(X1,or(X0,X2)))))),
% 0.11/0.44 inference(cnf_transformation,[status(thm)],[f4])).
% 0.11/0.44 fof(f15,plain,(
% 0.11/0.44 ![X0]: (theorem(X0)|~axiom(X0))),
% 0.11/0.44 inference(cnf_transformation,[status(thm)],[f6])).
% 0.11/0.44 fof(f16,plain,(
% 0.11/0.44 ![Y]: ((![X]: (theorem(X)|~axiom(or(not(Y),X))))|~theorem(Y))),
% 0.11/0.44 inference(miniscoping,[status(thm)],[f7])).
% 0.11/0.44 fof(f17,plain,(
% 0.11/0.44 ![X0,X1]: (theorem(X0)|~axiom(or(not(X1),X0))|~theorem(X1))),
% 0.11/0.44 inference(cnf_transformation,[status(thm)],[f16])).
% 0.11/0.44 fof(f18,plain,(
% 0.11/0.44 ![Z,Y]: ((![X]: (theorem(or(not(X),Z))|~axiom(or(not(X),Y))))|~theorem(or(not(Y),Z)))),
% 0.11/0.44 inference(miniscoping,[status(thm)],[f8])).
% 0.11/0.44 fof(f19,plain,(
% 0.11/0.44 ![X0,X1,X2]: (theorem(or(not(X0),X1))|~axiom(or(not(X0),X2))|~theorem(or(not(X2),X1)))),
% 0.11/0.44 inference(cnf_transformation,[status(thm)],[f18])).
% 0.11/0.44 fof(f20,plain,(
% 0.11/0.44 ~theorem(or(not(not(or(not(p),q))),or(not(p),not(q))))),
% 0.11/0.44 inference(cnf_transformation,[status(thm)],[f9])).
% 0.11/0.44 fof(f22,plain,(
% 0.11/0.44 ![X0]: (theorem(or(not(or(X0,X0)),X0)))),
% 0.11/0.44 inference(resolution,[status(thm)],[f10,f15])).
% 0.11/0.44 fof(f23,plain,(
% 0.11/0.44 ![X0,X1]: (theorem(or(not(X0),X1))|~axiom(or(not(X0),or(X1,X1))))),
% 0.11/0.44 inference(resolution,[status(thm)],[f22,f19])).
% 0.11/0.44 fof(f40,plain,(
% 0.11/0.44 ![X0]: (theorem(or(not(X0),X0)))),
% 0.11/0.44 inference(resolution,[status(thm)],[f11,f23])).
% 0.11/0.44 fof(f41,plain,(
% 0.11/0.44 ![X0,X1]: (theorem(or(X0,X1))|~theorem(X1))),
% 0.11/0.44 inference(resolution,[status(thm)],[f11,f17])).
% 0.11/0.44 fof(f55,plain,(
% 0.11/0.44 ![X0,X1]: (theorem(or(X0,X1))|~theorem(or(X1,X0)))),
% 0.11/0.44 inference(resolution,[status(thm)],[f12,f17])).
% 0.11/0.44 fof(f59,plain,(
% 0.11/0.44 ![X0,X1,X2]: (~theorem(or(X0,not(X1)))|theorem(or(not(X2),X0))|~axiom(or(not(X2),X1)))),
% 0.11/0.44 inference(resolution,[status(thm)],[f55,f19])).
% 0.11/0.44 fof(f72,plain,(
% 0.11/0.44 ![X0,X1,X2]: (theorem(or(X0,or(X1,X2)))|~theorem(or(X1,or(X0,X2))))),
% 0.11/0.44 inference(resolution,[status(thm)],[f13,f17])).
% 0.11/0.44 fof(f75,plain,(
% 0.11/0.44 ~theorem(or(not(p),or(not(not(or(not(p),q))),not(q))))),
% 0.11/0.44 inference(resolution,[status(thm)],[f72,f20])).
% 0.11/0.44 fof(f87,plain,(
% 0.11/0.44 ~theorem(or(not(not(or(not(p),q))),not(q)))),
% 0.11/0.44 inference(resolution,[status(thm)],[f75,f41])).
% 0.11/0.44 fof(f150,plain,(
% 0.11/0.44 ![X0,X1,X2]: (~theorem(or(X0,not(or(X1,X2))))|theorem(or(not(X2),X0)))),
% 0.11/0.44 inference(resolution,[status(thm)],[f59,f11])).
% 0.11/0.44 fof(f166,plain,(
% 0.11/0.44 ![X0,X1]: (theorem(or(not(X0),not(not(or(X1,X0))))))),
% 0.11/0.44 inference(resolution,[status(thm)],[f150,f40])).
% 0.11/0.44 fof(f246,plain,(
% 0.11/0.44 ~theorem(or(not(q),not(not(or(not(p),q)))))),
% 0.11/0.44 inference(resolution,[status(thm)],[f87,f55])).
% 0.11/0.44 fof(f248,plain,(
% 0.11/0.44 $false),
% 0.11/0.44 inference(forward_subsumption_resolution,[status(thm)],[f246,f166])).
% 0.11/0.45 % SZS output end CNFRefutation for theBenchmark.p
% 0.11/0.46 % Elapsed time: 0.077064 seconds
% 0.11/0.46 % CPU time: 0.436679 seconds
% 0.11/0.46 % Total memory used: 66.609 MB
% 0.11/0.46 % Net memory used: 65.467 MB
%------------------------------------------------------------------------------