%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : LCL199-1 : 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 : n004.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 0.22s 0.60s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : LCL199-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.07 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.22/0.46 % Computer : n004.cluster.edu
% 0.22/0.46 % Model : x86_64 x86_64
% 0.22/0.46 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.22/0.46 % Memory : 8046.5625MB
% 0.22/0.46 % OS : Linux 6.8.0-71-generic
% 0.22/0.46 % CPULimit : 300
% 0.22/0.46 % WCLimit : 300
% 0.22/0.46 % DateTime : Mon Sep 21 00:10:34 UTC 2026
% 0.22/0.46 % CPUTime :
% 0.22/0.49 % Drodi V4.1.1
% 0.22/0.60 % Refutation found
% 0.22/0.60 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.22/0.60 % SZS output start CNFRefutation for theBenchmark
% 0.22/0.60 fof(f1,axiom,(
% 0.22/0.60 (![A]: (axiom(or(not(or(A,A)),A)) ))),
% 0.22/0.60 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.22/0.60 fof(f2,axiom,(
% 0.22/0.60 (![A,B]: (axiom(or(not(A),or(B,A))) ))),
% 0.22/0.60 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.22/0.60 fof(f3,axiom,(
% 0.22/0.60 (![A,B]: (axiom(or(not(or(A,B)),or(B,A))) ))),
% 0.22/0.60 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.22/0.60 fof(f6,axiom,(
% 0.22/0.60 (![X]: (( theorem(X)| ~ axiom(X) ) ))),
% 0.22/0.60 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.22/0.60 fof(f7,axiom,(
% 0.22/0.60 (![X,Y]: (( theorem(X)| ~ axiom(or(not(Y),X))| ~ theorem(Y) ) ))),
% 0.22/0.60 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.22/0.60 fof(f8,axiom,(
% 0.22/0.60 (![X,Z,Y]: (( theorem(or(not(X),Z))| ~ axiom(or(not(X),Y))| ~ theorem(or(not(Y),Z)) ) ))),
% 0.22/0.60 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.22/0.60 fof(f9,negated_conjecture,(
% 0.22/0.60 ~ theorem(or(not(not(or(p,q))),not(p))) ),
% 0.22/0.60 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.22/0.60 fof(f10,plain,(
% 0.22/0.60 ![X0]: (axiom(or(not(or(X0,X0)),X0)))),
% 0.22/0.60 inference(cnf_transformation,[status(thm)],[f1])).
% 0.22/0.60 fof(f11,plain,(
% 0.22/0.60 ![X0,X1]: (axiom(or(not(X0),or(X1,X0))))),
% 0.22/0.60 inference(cnf_transformation,[status(thm)],[f2])).
% 0.22/0.60 fof(f12,plain,(
% 0.22/0.60 ![X0,X1]: (axiom(or(not(or(X0,X1)),or(X1,X0))))),
% 0.22/0.60 inference(cnf_transformation,[status(thm)],[f3])).
% 0.22/0.60 fof(f15,plain,(
% 0.22/0.60 ![X0]: (theorem(X0)|~axiom(X0))),
% 0.22/0.60 inference(cnf_transformation,[status(thm)],[f6])).
% 0.22/0.60 fof(f16,plain,(
% 0.22/0.60 ![Y]: ((![X]: (theorem(X)|~axiom(or(not(Y),X))))|~theorem(Y))),
% 0.22/0.60 inference(miniscoping,[status(thm)],[f7])).
% 0.22/0.60 fof(f17,plain,(
% 0.22/0.60 ![X0,X1]: (theorem(X0)|~axiom(or(not(X1),X0))|~theorem(X1))),
% 0.22/0.60 inference(cnf_transformation,[status(thm)],[f16])).
% 0.22/0.60 fof(f18,plain,(
% 0.22/0.60 ![Z,Y]: ((![X]: (theorem(or(not(X),Z))|~axiom(or(not(X),Y))))|~theorem(or(not(Y),Z)))),
% 0.22/0.60 inference(miniscoping,[status(thm)],[f8])).
% 0.22/0.60 fof(f19,plain,(
% 0.22/0.60 ![X0,X1,X2]: (theorem(or(not(X0),X1))|~axiom(or(not(X0),X2))|~theorem(or(not(X2),X1)))),
% 0.22/0.60 inference(cnf_transformation,[status(thm)],[f18])).
% 0.22/0.60 fof(f20,plain,(
% 0.22/0.60 ~theorem(or(not(not(or(p,q))),not(p)))),
% 0.22/0.60 inference(cnf_transformation,[status(thm)],[f9])).
% 0.22/0.60 fof(f23,plain,(
% 0.22/0.60 ![X0]: (theorem(or(not(or(X0,X0)),X0)))),
% 0.22/0.60 inference(resolution,[status(thm)],[f10,f15])).
% 0.22/0.60 fof(f26,plain,(
% 0.22/0.60 ![X0,X1,X2]: (theorem(or(not(X0),X1))|~theorem(or(not(or(X2,X0)),X1)))),
% 0.22/0.60 inference(resolution,[status(thm)],[f11,f19])).
% 0.22/0.60 fof(f32,plain,(
% 0.22/0.60 ![X0,X1,X2]: (theorem(or(not(or(X0,X1)),X2))|~theorem(or(not(or(X1,X0)),X2)))),
% 0.22/0.60 inference(resolution,[status(thm)],[f12,f19])).
% 0.22/0.60 fof(f33,plain,(
% 0.22/0.60 ![X0,X1]: (theorem(or(X0,X1))|~theorem(or(X1,X0)))),
% 0.22/0.60 inference(resolution,[status(thm)],[f12,f17])).
% 0.22/0.60 fof(f47,plain,(
% 0.22/0.60 ![X0]: (theorem(or(not(X0),X0)))),
% 0.22/0.60 inference(resolution,[status(thm)],[f26,f23])).
% 0.22/0.60 fof(f51,plain,(
% 0.22/0.60 ![X0]: (theorem(or(X0,not(X0))))),
% 0.22/0.60 inference(resolution,[status(thm)],[f47,f33])).
% 0.22/0.60 fof(f56,plain,(
% 0.22/0.60 ![X0,X1,X2]: (~theorem(or(not(or(X0,X1)),X2))|theorem(or(not(X0),X2)))),
% 0.22/0.60 inference(resolution,[status(thm)],[f32,f26])).
% 0.22/0.60 fof(f223,plain,(
% 0.22/0.60 ![X0,X1]: (theorem(or(not(X0),not(not(or(X0,X1))))))),
% 0.22/0.60 inference(resolution,[status(thm)],[f56,f51])).
% 0.22/0.60 fof(f357,plain,(
% 0.22/0.60 ![X0,X1]: (theorem(or(not(not(or(X0,X1))),not(X0))))),
% 0.22/0.60 inference(resolution,[status(thm)],[f223,f33])).
% 0.22/0.60 fof(f404,plain,(
% 0.22/0.60 $false),
% 0.22/0.60 inference(backward_subsumption_resolution,[status(thm)],[f20,f357])).
% 0.22/0.60 % SZS output end CNFRefutation for theBenchmark.p
% 0.22/0.63 % Elapsed time: 0.148540 seconds
% 0.22/0.63 % CPU time: 0.614724 seconds
% 0.22/0.63 % Total memory used: 60.859 MB
% 0.22/0.63 % Net memory used: 59.973 MB
%------------------------------------------------------------------------------