%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : LCL200-1 : TPTP v9.3.1. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n006.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 01:09:34 PM UTC 2026
% Result : Unsatisfiable 0.18s 0.49s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : LCL200-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.07 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.43 % Computer : n006.cluster.edu
% 0.18/0.43 % Model : x86_64 x86_64
% 0.18/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.43 % Memory : 8046.5625MB
% 0.18/0.43 % OS : Linux 6.8.0-71-generic
% 0.18/0.43 % CPULimit : 300
% 0.18/0.43 % WCLimit : 300
% 0.18/0.43 % DateTime : Mon Sep 21 00:10:12 UTC 2026
% 0.18/0.44 % CPUTime :
% 0.18/0.45 % Drodi V4.1.1
% 0.18/0.49 % Refutation found
% 0.18/0.49 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.18/0.49 % SZS output start CNFRefutation for theBenchmark
% 0.18/0.49 fof(f1,axiom,(
% 0.18/0.49 (![A]: (axiom(or(not(or(A,A)),A)) ))),
% 0.18/0.49 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.18/0.49 fof(f2,axiom,(
% 0.18/0.49 (![A,B]: (axiom(or(not(A),or(B,A))) ))),
% 0.18/0.49 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.18/0.49 fof(f3,axiom,(
% 0.18/0.49 (![A,B]: (axiom(or(not(or(A,B)),or(B,A))) ))),
% 0.18/0.49 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.18/0.49 fof(f6,axiom,(
% 0.18/0.49 (![X]: (( theorem(X)| ~ axiom(X) ) ))),
% 0.18/0.49 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.18/0.49 fof(f7,axiom,(
% 0.18/0.49 (![X,Y]: (( theorem(X)| ~ axiom(or(not(Y),X))| ~ theorem(Y) ) ))),
% 0.18/0.49 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.18/0.49 fof(f8,axiom,(
% 0.18/0.49 (![X,Z,Y]: (( theorem(or(not(X),Z))| ~ axiom(or(not(X),Y))| ~ theorem(or(not(Y),Z)) ) ))),
% 0.18/0.49 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.18/0.49 fof(f9,negated_conjecture,(
% 0.18/0.49 ~ theorem(or(not(not(or(p,q))),not(q))) ),
% 0.18/0.49 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.18/0.49 fof(f10,plain,(
% 0.18/0.49 ![X0]: (axiom(or(not(or(X0,X0)),X0)))),
% 0.18/0.49 inference(cnf_transformation,[status(thm)],[f1])).
% 0.18/0.49 fof(f11,plain,(
% 0.18/0.49 ![X0,X1]: (axiom(or(not(X0),or(X1,X0))))),
% 0.18/0.49 inference(cnf_transformation,[status(thm)],[f2])).
% 0.18/0.49 fof(f12,plain,(
% 0.18/0.49 ![X0,X1]: (axiom(or(not(or(X0,X1)),or(X1,X0))))),
% 0.18/0.49 inference(cnf_transformation,[status(thm)],[f3])).
% 0.18/0.49 fof(f15,plain,(
% 0.18/0.49 ![X0]: (theorem(X0)|~axiom(X0))),
% 0.18/0.49 inference(cnf_transformation,[status(thm)],[f6])).
% 0.18/0.49 fof(f16,plain,(
% 0.18/0.49 ![Y]: ((![X]: (theorem(X)|~axiom(or(not(Y),X))))|~theorem(Y))),
% 0.18/0.49 inference(miniscoping,[status(thm)],[f7])).
% 0.18/0.49 fof(f17,plain,(
% 0.18/0.49 ![X0,X1]: (theorem(X0)|~axiom(or(not(X1),X0))|~theorem(X1))),
% 0.18/0.49 inference(cnf_transformation,[status(thm)],[f16])).
% 0.18/0.49 fof(f18,plain,(
% 0.18/0.49 ![Z,Y]: ((![X]: (theorem(or(not(X),Z))|~axiom(or(not(X),Y))))|~theorem(or(not(Y),Z)))),
% 0.18/0.49 inference(miniscoping,[status(thm)],[f8])).
% 0.18/0.49 fof(f19,plain,(
% 0.18/0.49 ![X0,X1,X2]: (theorem(or(not(X0),X1))|~axiom(or(not(X0),X2))|~theorem(or(not(X2),X1)))),
% 0.18/0.49 inference(cnf_transformation,[status(thm)],[f18])).
% 0.18/0.49 fof(f20,plain,(
% 0.18/0.49 ~theorem(or(not(not(or(p,q))),not(q)))),
% 0.18/0.49 inference(cnf_transformation,[status(thm)],[f9])).
% 0.18/0.49 fof(f22,plain,(
% 0.18/0.49 ![X0]: (theorem(or(not(or(X0,X0)),X0)))),
% 0.18/0.49 inference(resolution,[status(thm)],[f10,f15])).
% 0.18/0.49 fof(f23,plain,(
% 0.18/0.49 ![X0,X1]: (theorem(or(not(X0),X1))|~axiom(or(not(X0),or(X1,X1))))),
% 0.18/0.49 inference(resolution,[status(thm)],[f22,f19])).
% 0.18/0.49 fof(f35,plain,(
% 0.18/0.49 ![X0]: (theorem(or(not(X0),X0)))),
% 0.18/0.49 inference(resolution,[status(thm)],[f11,f23])).
% 0.18/0.49 fof(f47,plain,(
% 0.18/0.49 ![X0,X1]: (theorem(or(X0,X1))|~theorem(or(X1,X0)))),
% 0.18/0.49 inference(resolution,[status(thm)],[f12,f17])).
% 0.18/0.49 fof(f49,plain,(
% 0.18/0.49 ~theorem(or(not(q),not(not(or(p,q)))))),
% 0.18/0.49 inference(resolution,[status(thm)],[f47,f20])).
% 0.18/0.49 fof(f50,plain,(
% 0.18/0.49 ![X0,X1,X2]: (~theorem(or(X0,not(X1)))|theorem(or(not(X2),X0))|~axiom(or(not(X2),X1)))),
% 0.18/0.49 inference(resolution,[status(thm)],[f47,f19])).
% 0.18/0.49 fof(f126,plain,(
% 0.18/0.49 ![X0,X1,X2]: (~theorem(or(X0,not(or(X1,X2))))|theorem(or(not(X2),X0)))),
% 0.18/0.49 inference(resolution,[status(thm)],[f50,f11])).
% 0.18/0.49 fof(f141,plain,(
% 0.18/0.49 ![X0,X1]: (theorem(or(not(X0),not(not(or(X1,X0))))))),
% 0.18/0.49 inference(resolution,[status(thm)],[f126,f35])).
% 0.18/0.49 fof(f146,plain,(
% 0.18/0.49 $false),
% 0.18/0.49 inference(backward_subsumption_resolution,[status(thm)],[f49,f141])).
% 0.18/0.49 % SZS output end CNFRefutation for theBenchmark.p
% 0.18/0.55 % Elapsed time: 0.098031 seconds
% 0.18/0.55 % CPU time: 0.255756 seconds
% 0.18/0.55 % Total memory used: 27.938 MB
% 0.18/0.55 % Net memory used: 27.705 MB
%------------------------------------------------------------------------------