%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : LCL250-1 : TPTP v9.3.1. Bugfixed v2.3.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n008.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 01:09:43 PM UTC 2026
% Result : Unsatisfiable 133.59s 17.66s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : LCL250-1 : TPTP v9.3.1. Bugfixed v2.3.0.
% 0.00/0.05 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.16/0.42 % Computer : n008.cluster.edu
% 0.16/0.42 % Model : x86_64 x86_64
% 0.16/0.42 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.42 % Memory : 8046.5625MB
% 0.16/0.42 % OS : Linux 6.8.0-71-generic
% 0.16/0.42 % CPULimit : 300
% 0.16/0.42 % WCLimit : 300
% 0.16/0.42 % DateTime : Mon Sep 21 00:16:25 UTC 2026
% 0.16/0.43 % CPUTime :
% 0.16/0.44 % Drodi V4.1.1
% 133.59/17.66 % Refutation found
% 133.59/17.66 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 133.59/17.66 % SZS output start CNFRefutation for theBenchmark
% 133.59/17.66 fof(f1,axiom,(
% 133.59/17.66 (![A]: (axiom(or(not(or(A,A)),A)) ))),
% 133.59/17.66 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 133.59/17.66 fof(f2,axiom,(
% 133.59/17.66 (![A,B]: (axiom(or(not(A),or(B,A))) ))),
% 133.59/17.66 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 133.59/17.66 fof(f3,axiom,(
% 133.59/17.66 (![A,B]: (axiom(or(not(or(A,B)),or(B,A))) ))),
% 133.59/17.66 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 133.59/17.66 fof(f4,axiom,(
% 133.59/17.66 (![A,B,C]: (axiom(or(not(or(A,or(B,C))),or(B,or(A,C)))) ))),
% 133.59/17.66 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 133.59/17.66 fof(f5,axiom,(
% 133.59/17.66 (![A,B,C]: (axiom(or(not(or(not(A),B)),or(not(or(C,A)),or(C,B)))) ))),
% 133.59/17.66 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 133.59/17.66 fof(f6,axiom,(
% 133.59/17.66 (![X]: (( theorem(X)| ~ axiom(X) ) ))),
% 133.59/17.66 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 133.59/17.66 fof(f7,axiom,(
% 133.59/17.66 (![X,Y]: (( theorem(X)| ~ axiom(or(not(Y),X))| ~ theorem(Y) ) ))),
% 133.59/17.66 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 133.59/17.66 fof(f8,axiom,(
% 133.59/17.66 (![X,Z,Y]: (( theorem(or(not(X),Z))| ~ axiom(or(not(X),Y))| ~ theorem(or(not(Y),Z)) ) ))),
% 133.59/17.66 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 133.59/17.66 fof(f9,negated_conjecture,(
% 133.59/17.66 ~ theorem(or(not(or(not(q),r)),or(not(not(or(not(p),not(q)))),r))) ),
% 133.59/17.66 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 133.59/17.66 fof(f10,plain,(
% 133.59/17.66 ![X0]: (axiom(or(not(or(X0,X0)),X0)))),
% 133.59/17.66 inference(cnf_transformation,[status(thm)],[f1])).
% 133.59/17.66 fof(f11,plain,(
% 133.59/17.66 ![X0,X1]: (axiom(or(not(X0),or(X1,X0))))),
% 133.59/17.66 inference(cnf_transformation,[status(thm)],[f2])).
% 133.59/17.66 fof(f12,plain,(
% 133.59/17.66 ![X0,X1]: (axiom(or(not(or(X0,X1)),or(X1,X0))))),
% 133.59/17.66 inference(cnf_transformation,[status(thm)],[f3])).
% 133.59/17.66 fof(f13,plain,(
% 133.59/17.66 ![X0,X1,X2]: (axiom(or(not(or(X0,or(X1,X2))),or(X1,or(X0,X2)))))),
% 133.59/17.66 inference(cnf_transformation,[status(thm)],[f4])).
% 133.59/17.66 fof(f14,plain,(
% 133.59/17.66 ![X0,X1,X2]: (axiom(or(not(or(not(X0),X1)),or(not(or(X2,X0)),or(X2,X1)))))),
% 133.59/17.66 inference(cnf_transformation,[status(thm)],[f5])).
% 133.59/17.66 fof(f15,plain,(
% 133.59/17.66 ![X0]: (theorem(X0)|~axiom(X0))),
% 133.59/17.66 inference(cnf_transformation,[status(thm)],[f6])).
% 133.59/17.66 fof(f16,plain,(
% 133.59/17.66 ![Y]: ((![X]: (theorem(X)|~axiom(or(not(Y),X))))|~theorem(Y))),
% 133.59/17.66 inference(miniscoping,[status(thm)],[f7])).
% 133.59/17.66 fof(f17,plain,(
% 133.59/17.66 ![X0,X1]: (theorem(X0)|~axiom(or(not(X1),X0))|~theorem(X1))),
% 133.59/17.66 inference(cnf_transformation,[status(thm)],[f16])).
% 133.59/17.66 fof(f18,plain,(
% 133.59/17.66 ![Z,Y]: ((![X]: (theorem(or(not(X),Z))|~axiom(or(not(X),Y))))|~theorem(or(not(Y),Z)))),
% 133.59/17.66 inference(miniscoping,[status(thm)],[f8])).
% 133.59/17.66 fof(f19,plain,(
% 133.59/17.66 ![X0,X1,X2]: (theorem(or(not(X0),X1))|~axiom(or(not(X0),X2))|~theorem(or(not(X2),X1)))),
% 133.59/17.66 inference(cnf_transformation,[status(thm)],[f18])).
% 133.59/17.66 fof(f20,plain,(
% 133.59/17.66 ~theorem(or(not(or(not(q),r)),or(not(not(or(not(p),not(q)))),r)))),
% 133.59/17.66 inference(cnf_transformation,[status(thm)],[f9])).
% 133.59/17.66 fof(f21,plain,(
% 133.59/17.66 ![X0]: (theorem(or(not(or(X0,X0)),X0)))),
% 133.59/17.66 inference(resolution,[status(thm)],[f10,f15])).
% 133.59/17.66 fof(f24,plain,(
% 133.59/17.66 ![X0,X1]: (theorem(X0)|~axiom(or(not(or(not(or(X1,X1)),X1)),X0)))),
% 133.59/17.66 inference(resolution,[status(thm)],[f17,f21])).
% 133.59/17.66 fof(f32,plain,(
% 133.59/17.66 ![X0,X1]: (theorem(or(not(or(X0,or(X1,X1))),or(X0,X1))))),
% 133.59/17.66 inference(resolution,[status(thm)],[f14,f24])).
% 133.59/17.66 fof(f40,plain,(
% 133.59/17.66 ![X0,X1,X2,X3]: (~axiom(or(not(X0),X1))|~theorem(or(not(X1),X2))|theorem(X3)|~axiom(or(not(or(not(X0),X2)),X3)))),
% 133.59/17.66 inference(resolution,[status(thm)],[f19,f17])).
% 133.59/17.66 fof(f44,plain,(
% 133.59/17.66 ![X0]: (~axiom(or(not(or(not(q),r)),X0))|~theorem(or(not(X0),or(not(not(or(not(p),not(q)))),r))))),
% 133.59/17.66 inference(resolution,[status(thm)],[f20,f19])).
% 133.59/17.66 fof(f65,plain,(
% 133.59/17.66 ![X0,X1,X2,X3,X4]: (~theorem(or(not(or(not(or(X0,X1)),or(X0,X2))),X3))|theorem(X4)|~axiom(or(not(or(not(or(not(X1),X2)),X3)),X4)))),
% 133.59/17.66 inference(resolution,[status(thm)],[f40,f14])).
% 133.59/17.66 fof(f69,plain,(
% 133.59/17.66 ![X0,X1,X2,X3]: (~theorem(or(not(or(X0,X1)),X2))|theorem(X3)|~axiom(or(not(or(not(X1),X2)),X3)))),
% 133.59/17.66 inference(resolution,[status(thm)],[f40,f11])).
% 133.59/17.66 fof(f76,plain,(
% 133.59/17.66 ~theorem(or(not(or(r,not(q))),or(not(not(or(not(p),not(q)))),r)))),
% 133.59/17.66 inference(resolution,[status(thm)],[f44,f12])).
% 133.59/17.66 fof(f109,plain,(
% 133.59/17.66 ![X0,X1,X2,X3,X4]: (~theorem(or(not(or(not(or(X0,X1)),or(X0,X2))),or(X3,X4)))|theorem(or(X3,or(not(or(not(X1),X2)),X4))))),
% 133.59/17.73 inference(resolution,[status(thm)],[f65,f13])).
% 133.59/17.73 fof(f147,plain,(
% 133.59/17.73 ![X0,X1,X2,X3]: (~theorem(or(not(or(X0,X1)),or(X2,X3)))|theorem(or(X2,or(not(X1),X3))))),
% 133.59/17.73 inference(resolution,[status(thm)],[f69,f13])).
% 133.59/17.73 fof(f272,plain,(
% 133.59/17.73 ![X0,X1]: (theorem(or(not(or(X0,X1)),or(not(or(not(X1),X0)),X0))))),
% 133.59/17.73 inference(resolution,[status(thm)],[f109,f32])).
% 133.59/17.73 fof(f585,plain,(
% 133.59/17.73 ![X0,X1,X2,X3,X4]: (theorem(or(X0,or(not(X1),X2)))|~axiom(or(not(or(X3,X1)),X4))|~theorem(or(not(X4),or(X0,X2))))),
% 133.59/17.73 inference(resolution,[status(thm)],[f147,f19])).
% 133.59/17.73 fof(f3115,plain,(
% 133.59/17.73 ![X0,X1,X2,X3,X4]: (theorem(or(X0,or(not(or(X1,X2)),X3)))|~theorem(or(not(or(X1,or(X4,X2))),or(X0,X3))))),
% 133.59/17.73 inference(resolution,[status(thm)],[f585,f13])).
% 133.59/17.73 fof(f3116,plain,(
% 133.59/17.73 ![X0,X1,X2,X3]: (theorem(or(X0,or(not(X1),X2)))|~theorem(or(not(or(X1,X3)),or(X0,X2))))),
% 133.59/17.73 inference(resolution,[status(thm)],[f585,f12])).
% 133.59/17.73 fof(f38073,plain,(
% 133.59/17.73 ![X0,X1,X2]: (theorem(or(not(or(not(or(X0,X1)),X2)),or(not(or(X2,X1)),X2))))),
% 133.59/17.73 inference(resolution,[status(thm)],[f3115,f272])).
% 133.59/17.73 fof(f51652,plain,(
% 133.59/17.73 ![X0,X1,X2]: (theorem(or(not(or(X0,X1)),or(not(not(or(X2,X1))),X0))))),
% 133.59/17.73 inference(resolution,[status(thm)],[f38073,f3116])).
% 133.59/17.73 fof(f51693,plain,(
% 133.59/17.73 $false),
% 133.59/17.73 inference(backward_subsumption_resolution,[status(thm)],[f76,f51652])).
% 133.59/17.73 % SZS output end CNFRefutation for theBenchmark.p
% 23.87/17.89 % Elapsed time: 17.448161 seconds
% 23.87/17.89 % CPU time: 137.342755 seconds
% 23.87/17.89 % Total memory used: 666.995 MB
% 23.87/17.89 % Net memory used: 613.766 MB
%------------------------------------------------------------------------------