%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : LCL198-1 : 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 : n020.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 0.13s 0.47s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LCL198-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.35 % Computer : n020.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Mon Sep 21 00:11:32 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.13/0.36 % Drodi V4.1.1
% 0.13/0.47 % Refutation found
% 0.13/0.47 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.13/0.47 % SZS output start CNFRefutation for theBenchmark
% 0.13/0.47 fof(f1,axiom,(
% 0.13/0.47 (![A]: (axiom(or(not(or(A,A)),A)) ))),
% 0.13/0.47 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.47 fof(f2,axiom,(
% 0.13/0.47 (![A,B]: (axiom(or(not(A),or(B,A))) ))),
% 0.13/0.47 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.47 fof(f3,axiom,(
% 0.13/0.47 (![A,B]: (axiom(or(not(or(A,B)),or(B,A))) ))),
% 0.13/0.47 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.47 fof(f4,axiom,(
% 0.13/0.47 (![A,B,C]: (axiom(or(not(or(A,or(B,C))),or(B,or(A,C)))) ))),
% 0.13/0.47 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.47 fof(f5,axiom,(
% 0.13/0.47 (![A,B,C]: (axiom(or(not(or(not(A),B)),or(not(or(C,A)),or(C,B)))) ))),
% 0.13/0.47 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.47 fof(f6,axiom,(
% 0.13/0.47 (![X]: (( theorem(X)| ~ axiom(X) ) ))),
% 0.13/0.47 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.47 fof(f7,axiom,(
% 0.13/0.47 (![X,Y]: (( theorem(X)| ~ axiom(or(not(Y),X))| ~ theorem(Y) ) ))),
% 0.13/0.47 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.47 fof(f8,axiom,(
% 0.13/0.47 (![X,Z,Y]: (( theorem(or(not(X),Z))| ~ axiom(or(not(X),Y))| ~ theorem(or(not(Y),Z)) ) ))),
% 0.13/0.47 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.47 fof(f9,negated_conjecture,(
% 0.13/0.47 ~ theorem(or(not(or(not(p),or(not(p),q))),or(not(p),q))) ),
% 0.13/0.47 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.47 fof(f10,plain,(
% 0.13/0.47 ![X0]: (axiom(or(not(or(X0,X0)),X0)))),
% 0.13/0.47 inference(cnf_transformation,[status(thm)],[f1])).
% 0.13/0.47 fof(f11,plain,(
% 0.13/0.47 ![X0,X1]: (axiom(or(not(X0),or(X1,X0))))),
% 0.13/0.47 inference(cnf_transformation,[status(thm)],[f2])).
% 0.13/0.47 fof(f12,plain,(
% 0.13/0.47 ![X0,X1]: (axiom(or(not(or(X0,X1)),or(X1,X0))))),
% 0.13/0.47 inference(cnf_transformation,[status(thm)],[f3])).
% 0.13/0.47 fof(f13,plain,(
% 0.13/0.47 ![X0,X1,X2]: (axiom(or(not(or(X0,or(X1,X2))),or(X1,or(X0,X2)))))),
% 0.13/0.47 inference(cnf_transformation,[status(thm)],[f4])).
% 0.13/0.47 fof(f14,plain,(
% 0.13/0.47 ![X0,X1,X2]: (axiom(or(not(or(not(X0),X1)),or(not(or(X2,X0)),or(X2,X1)))))),
% 0.13/0.47 inference(cnf_transformation,[status(thm)],[f5])).
% 0.13/0.47 fof(f15,plain,(
% 0.13/0.47 ![X0]: (theorem(X0)|~axiom(X0))),
% 0.13/0.47 inference(cnf_transformation,[status(thm)],[f6])).
% 0.13/0.47 fof(f16,plain,(
% 0.13/0.47 ![Y]: ((![X]: (theorem(X)|~axiom(or(not(Y),X))))|~theorem(Y))),
% 0.13/0.47 inference(miniscoping,[status(thm)],[f7])).
% 0.13/0.47 fof(f17,plain,(
% 0.13/0.47 ![X0,X1]: (theorem(X0)|~axiom(or(not(X1),X0))|~theorem(X1))),
% 0.13/0.47 inference(cnf_transformation,[status(thm)],[f16])).
% 0.13/0.47 fof(f18,plain,(
% 0.13/0.47 ![Z,Y]: ((![X]: (theorem(or(not(X),Z))|~axiom(or(not(X),Y))))|~theorem(or(not(Y),Z)))),
% 0.13/0.47 inference(miniscoping,[status(thm)],[f8])).
% 0.13/0.47 fof(f19,plain,(
% 0.13/0.47 ![X0,X1,X2]: (theorem(or(not(X0),X1))|~axiom(or(not(X0),X2))|~theorem(or(not(X2),X1)))),
% 0.13/0.47 inference(cnf_transformation,[status(thm)],[f18])).
% 0.13/0.47 fof(f20,plain,(
% 0.13/0.47 ~theorem(or(not(or(not(p),or(not(p),q))),or(not(p),q)))),
% 0.13/0.47 inference(cnf_transformation,[status(thm)],[f9])).
% 0.13/0.47 fof(f21,plain,(
% 0.13/0.47 ![X0]: (theorem(X0)|~theorem(or(X0,X0)))),
% 0.13/0.47 inference(resolution,[status(thm)],[f10,f17])).
% 0.13/0.47 fof(f41,plain,(
% 0.13/0.47 ![X0,X1]: (theorem(or(X0,X1))|~theorem(X1))),
% 0.13/0.47 inference(resolution,[status(thm)],[f11,f17])).
% 0.13/0.47 fof(f55,plain,(
% 0.13/0.47 ![X0,X1]: (theorem(or(X0,X1))|~theorem(or(X1,X0)))),
% 0.13/0.47 inference(resolution,[status(thm)],[f12,f17])).
% 0.13/0.47 fof(f56,plain,(
% 0.13/0.47 ![X0,X1]: (theorem(or(not(or(X0,X1)),or(X1,X0))))),
% 0.13/0.47 inference(resolution,[status(thm)],[f12,f15])).
% 0.13/0.47 fof(f59,plain,(
% 0.13/0.47 ![X0,X1,X2]: (~theorem(or(X0,not(X1)))|theorem(or(not(X2),X0))|~axiom(or(not(X2),X1)))),
% 0.13/0.47 inference(resolution,[status(thm)],[f55,f19])).
% 0.13/0.47 fof(f72,plain,(
% 0.13/0.47 ![X0,X1,X2]: (theorem(or(X0,or(X1,X2)))|~theorem(or(X1,or(X0,X2))))),
% 0.13/0.47 inference(resolution,[status(thm)],[f13,f17])).
% 0.13/0.47 fof(f77,plain,(
% 0.13/0.47 ![X0,X1]: (~theorem(or(X0,or(or(X0,X1),X1)))|theorem(or(X0,X1)))),
% 0.13/0.47 inference(resolution,[status(thm)],[f72,f21])).
% 0.13/0.47 fof(f78,plain,(
% 0.13/0.47 ![X0,X1,X2]: (theorem(or(not(or(X0,X1)),or(X0,X2)))|~theorem(or(not(X1),X2)))),
% 0.13/0.47 inference(resolution,[status(thm)],[f14,f17])).
% 0.13/0.47 fof(f97,plain,(
% 0.13/0.47 ![X0,X1]: (theorem(or(X0,X1))|~theorem(or(or(X0,X1),X1)))),
% 0.13/0.47 inference(resolution,[status(thm)],[f77,f41])).
% 0.13/0.47 fof(f99,plain,(
% 0.13/0.47 ![X0,X1]: (theorem(or(X0,X1))|~theorem(or(X1,or(X0,X1))))),
% 0.13/0.47 inference(resolution,[status(thm)],[f97,f55])).
% 0.13/0.48 fof(f103,plain,(
% 0.13/0.48 ![X0,X1]: (theorem(or(X0,X1))|~theorem(or(X0,or(X1,X1))))),
% 0.13/0.48 inference(resolution,[status(thm)],[f99,f72])).
% 0.13/0.48 fof(f113,plain,(
% 0.13/0.48 ![X0,X1]: (theorem(or(not(or(X0,X1)),X0))|~theorem(or(not(X1),X0)))),
% 0.13/0.48 inference(resolution,[status(thm)],[f103,f78])).
% 0.13/0.48 fof(f150,plain,(
% 0.13/0.48 ![X0,X1,X2]: (~theorem(or(X0,not(or(X1,X2))))|theorem(or(not(or(X2,X1)),X0)))),
% 0.13/0.48 inference(resolution,[status(thm)],[f59,f12])).
% 0.13/0.48 fof(f152,plain,(
% 0.13/0.48 ![X0,X1,X2]: (~theorem(or(X0,not(or(X1,X2))))|theorem(or(not(X2),X0)))),
% 0.13/0.48 inference(resolution,[status(thm)],[f59,f11])).
% 0.13/0.48 fof(f172,plain,(
% 0.13/0.48 ![X0,X1,X2]: (theorem(or(not(X0),X1))|~theorem(or(not(or(X2,X0)),X1)))),
% 0.13/0.48 inference(resolution,[status(thm)],[f152,f55])).
% 0.13/0.48 fof(f184,plain,(
% 0.13/0.48 ![X0,X1]: (theorem(or(not(X0),or(X0,X1))))),
% 0.13/0.48 inference(resolution,[status(thm)],[f172,f56])).
% 0.13/0.48 fof(f379,plain,(
% 0.13/0.48 ~theorem(or(or(not(p),q),not(or(or(not(p),q),not(p)))))),
% 0.13/0.48 inference(resolution,[status(thm)],[f150,f20])).
% 0.13/0.48 fof(f639,plain,(
% 0.13/0.48 ~theorem(or(not(or(or(not(p),q),not(p))),or(not(p),q)))),
% 0.13/0.48 inference(resolution,[status(thm)],[f379,f55])).
% 0.13/0.48 fof(f650,plain,(
% 0.13/0.48 ~theorem(or(not(not(p)),or(not(p),q)))),
% 0.13/0.48 inference(resolution,[status(thm)],[f639,f113])).
% 0.13/0.48 fof(f658,plain,(
% 0.13/0.48 $false),
% 0.13/0.48 inference(forward_subsumption_resolution,[status(thm)],[f650,f184])).
% 0.13/0.48 % SZS output end CNFRefutation for theBenchmark.p
% 0.72/0.51 % Elapsed time: 0.138855 seconds
% 0.72/0.51 % CPU time: 0.925927 seconds
% 0.72/0.51 % Total memory used: 78.932 MB
% 0.72/0.51 % Net memory used: 76.916 MB
%------------------------------------------------------------------------------