%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : LCL206-3 : TPTP v9.3.1. Bugfixed v2.4.1.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/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 01:09:35 PM UTC 2026
% Result : Unsatisfiable 0.13s 0.58s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL206-3 : TPTP v9.3.1. Bugfixed v2.4.1.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.36 % Computer : n020.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Mon Sep 21 00:12:04 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.38 % Drodi V4.1.1
% 0.13/0.58 % Refutation found
% 0.13/0.58 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.13/0.58 % SZS output start CNFRefutation for theBenchmark
% 0.13/0.58 fof(f1,axiom,(
% 0.13/0.58 (![A]: (axiom(implies(or(A,A),A)) ))),
% 0.13/0.58 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.58 fof(f2,axiom,(
% 0.13/0.58 (![A,B]: (axiom(implies(A,or(B,A))) ))),
% 0.13/0.58 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.58 fof(f3,axiom,(
% 0.13/0.58 (![A,B]: (axiom(implies(or(A,B),or(B,A))) ))),
% 0.13/0.58 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.58 fof(f4,axiom,(
% 0.13/0.58 (![A,B,C]: (axiom(implies(or(A,or(B,C)),or(B,or(A,C)))) ))),
% 0.13/0.58 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.58 fof(f5,axiom,(
% 0.13/0.58 (![A,B,C]: (axiom(implies(implies(A,B),implies(or(C,A),or(C,B)))) ))),
% 0.13/0.58 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.58 fof(f6,axiom,(
% 0.13/0.58 (![X,Y]: (implies(X,Y) = or(not(X),Y) ))),
% 0.13/0.58 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.58 fof(f7,axiom,(
% 0.13/0.58 (![X]: (( theorem(X)| ~ axiom(X) ) ))),
% 0.13/0.58 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.58 fof(f8,axiom,(
% 0.13/0.58 (![X,Y]: (( theorem(X)| ~ theorem(implies(Y,X))| ~ theorem(Y) ) ))),
% 0.13/0.58 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.58 fof(f9,negated_conjecture,(
% 0.13/0.58 ~ theorem(implies(not(implies(p,q)),implies(not(p),not(q)))) ),
% 0.13/0.58 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.58 fof(f10,plain,(
% 0.13/0.58 ![X0]: (axiom(implies(or(X0,X0),X0)))),
% 0.13/0.58 inference(cnf_transformation,[status(thm)],[f1])).
% 0.13/0.58 fof(f11,plain,(
% 0.13/0.58 ![X0,X1]: (axiom(implies(X0,or(X1,X0))))),
% 0.13/0.58 inference(cnf_transformation,[status(thm)],[f2])).
% 0.13/0.58 fof(f12,plain,(
% 0.13/0.58 ![X0,X1]: (axiom(implies(or(X0,X1),or(X1,X0))))),
% 0.13/0.58 inference(cnf_transformation,[status(thm)],[f3])).
% 0.13/0.58 fof(f13,plain,(
% 0.13/0.58 ![X0,X1,X2]: (axiom(implies(or(X0,or(X1,X2)),or(X1,or(X0,X2)))))),
% 0.13/0.58 inference(cnf_transformation,[status(thm)],[f4])).
% 0.13/0.58 fof(f14,plain,(
% 0.13/0.58 ![X0,X1,X2]: (axiom(implies(implies(X0,X1),implies(or(X2,X0),or(X2,X1)))))),
% 0.13/0.58 inference(cnf_transformation,[status(thm)],[f5])).
% 0.13/0.58 fof(f15,plain,(
% 0.13/0.58 ![X0,X1]: (implies(X0,X1)=or(not(X0),X1))),
% 0.13/0.58 inference(cnf_transformation,[status(thm)],[f6])).
% 0.13/0.58 fof(f16,plain,(
% 0.13/0.58 ![X0]: (theorem(X0)|~axiom(X0))),
% 0.13/0.58 inference(cnf_transformation,[status(thm)],[f7])).
% 0.13/0.58 fof(f17,plain,(
% 0.13/0.58 ![Y]: ((![X]: (theorem(X)|~theorem(implies(Y,X))))|~theorem(Y))),
% 0.13/0.58 inference(miniscoping,[status(thm)],[f8])).
% 0.13/0.58 fof(f18,plain,(
% 0.13/0.58 ![X0,X1]: (theorem(X0)|~theorem(implies(X1,X0))|~theorem(X1))),
% 0.13/0.58 inference(cnf_transformation,[status(thm)],[f17])).
% 0.13/0.58 fof(f19,plain,(
% 0.13/0.58 ~theorem(implies(not(implies(p,q)),implies(not(p),not(q))))),
% 0.13/0.58 inference(cnf_transformation,[status(thm)],[f9])).
% 0.13/0.58 fof(f20,plain,(
% 0.13/0.58 ![X0]: (theorem(implies(or(X0,X0),X0)))),
% 0.13/0.58 inference(resolution,[status(thm)],[f10,f16])).
% 0.13/0.58 fof(f21,plain,(
% 0.13/0.58 ![X0,X1]: (theorem(implies(X0,or(X1,X0))))),
% 0.13/0.58 inference(resolution,[status(thm)],[f11,f16])).
% 0.13/0.58 fof(f22,plain,(
% 0.13/0.58 ![X0,X1]: (theorem(implies(or(X0,X1),or(X1,X0))))),
% 0.13/0.58 inference(resolution,[status(thm)],[f12,f16])).
% 0.13/0.58 fof(f23,plain,(
% 0.13/0.58 ![X0,X1]: (theorem(implies(X0,implies(X1,X0))))),
% 0.13/0.58 inference(paramodulation,[status(thm)],[f15,f21])).
% 0.13/0.58 fof(f30,plain,(
% 0.13/0.58 ![X0,X1,X2]: (theorem(implies(or(X0,or(X1,X2)),or(X1,or(X0,X2)))))),
% 0.13/0.58 inference(resolution,[status(thm)],[f13,f16])).
% 0.13/0.58 fof(f39,plain,(
% 0.13/0.58 ![X0]: (theorem(X0)|~theorem(or(X0,X0)))),
% 0.13/0.58 inference(resolution,[status(thm)],[f18,f20])).
% 0.13/0.58 fof(f41,plain,(
% 0.13/0.58 ![X0,X1]: (theorem(or(X0,X1))|~theorem(X1))),
% 0.13/0.58 inference(resolution,[status(thm)],[f18,f21])).
% 0.13/0.58 fof(f46,plain,(
% 0.13/0.58 ![X0,X1,X2]: (theorem(implies(implies(X0,X1),implies(or(X2,X0),or(X2,X1)))))),
% 0.13/0.58 inference(resolution,[status(thm)],[f14,f16])).
% 0.13/0.58 fof(f51,plain,(
% 0.13/0.58 ![X0,X1]: (theorem(or(X0,X1))|~theorem(or(X1,X0)))),
% 0.13/0.58 inference(resolution,[status(thm)],[f22,f18])).
% 0.13/0.58 fof(f53,plain,(
% 0.13/0.58 ![X0,X1]: (theorem(implies(or(X0,not(X1)),implies(X1,X0))))),
% 0.13/0.58 inference(paramodulation,[status(thm)],[f15,f22])).
% 0.13/0.58 fof(f55,plain,(
% 0.13/0.58 ![X0,X1]: (theorem(or(X0,not(X1)))|~theorem(implies(X1,X0)))),
% 0.13/0.58 inference(paramodulation,[status(thm)],[f15,f51])).
% 0.13/0.58 fof(f70,plain,(
% 0.13/0.58 ![X0,X1]: (theorem(implies(X0,X1))|~theorem(or(X1,not(X0))))),
% 0.13/0.58 inference(resolution,[status(thm)],[f53,f18])).
% 0.13/0.58 fof(f72,plain,(
% 0.13/0.58 ![X0,X1,X2]: (theorem(or(X0,or(X1,X2)))|~theorem(or(X1,or(X0,X2))))),
% 0.13/0.58 inference(resolution,[status(thm)],[f30,f18])).
% 0.13/0.58 fof(f83,plain,(
% 0.13/0.58 ![X0,X1]: (theorem(implies(X0,not(X1)))|~theorem(implies(X1,not(X0))))),
% 0.13/0.58 inference(paramodulation,[status(thm)],[f15,f55])).
% 0.13/0.58 fof(f117,plain,(
% 0.13/0.58 ![X0,X1,X2]: (theorem(implies(or(X0,X1),or(X0,X2)))|~theorem(implies(X1,X2)))),
% 0.13/0.58 inference(resolution,[status(thm)],[f46,f18])).
% 0.13/0.58 fof(f124,plain,(
% 0.13/0.58 ![X0,X1,X2]: (theorem(or(X0,or(X1,X2)))|~theorem(or(X0,X2)))),
% 0.13/0.58 inference(resolution,[status(thm)],[f72,f41])).
% 0.13/0.58 fof(f125,plain,(
% 0.13/0.58 ![X0,X1,X2]: (theorem(or(X0,or(not(X1),X2)))|~theorem(implies(X1,or(X0,X2))))),
% 0.13/0.58 inference(paramodulation,[status(thm)],[f15,f72])).
% 0.13/0.58 fof(f127,plain,(
% 0.13/0.58 ![X0,X1,X2]: (theorem(or(X0,implies(X1,X2)))|~theorem(implies(X1,or(X0,X2))))),
% 0.13/0.58 inference(forward_demodulation,[status(thm)],[f15,f125])).
% 0.13/0.58 fof(f151,plain,(
% 0.13/0.58 ![X0,X1]: (~theorem(or(or(X0,X1),X1))|theorem(or(X0,X1)))),
% 0.13/0.58 inference(resolution,[status(thm)],[f124,f39])).
% 0.13/0.58 fof(f152,plain,(
% 0.13/0.58 ![X0,X1,X2]: (theorem(implies(X0,or(X1,X2)))|~theorem(or(not(X0),X2)))),
% 0.13/0.58 inference(paramodulation,[status(thm)],[f15,f124])).
% 0.13/0.58 fof(f154,plain,(
% 0.13/0.58 ![X0,X1,X2]: (theorem(implies(X0,or(X1,X2)))|~theorem(implies(X0,X2)))),
% 0.13/0.58 inference(forward_demodulation,[status(thm)],[f15,f152])).
% 0.13/0.58 fof(f179,plain,(
% 0.13/0.58 ![X0,X1]: (~theorem(or(implies(X0,X1),X1))|theorem(or(not(X0),X1)))),
% 0.13/0.58 inference(paramodulation,[status(thm)],[f15,f151])).
% 0.13/0.58 fof(f180,plain,(
% 0.13/0.58 ![X0,X1]: (~theorem(or(implies(X0,X1),X1))|theorem(implies(X0,X1)))),
% 0.13/0.58 inference(forward_demodulation,[status(thm)],[f15,f179])).
% 0.13/0.58 fof(f214,plain,(
% 0.13/0.58 ![X0,X1,X2]: (~theorem(implies(X0,X1))|theorem(or(X2,X1))|~theorem(or(X2,X0)))),
% 0.13/0.58 inference(resolution,[status(thm)],[f117,f18])).
% 0.13/0.58 fof(f220,plain,(
% 0.13/0.58 ![X0,X1,X2]: (theorem(implies(X0,implies(X1,X2)))|~theorem(implies(X0,X2)))),
% 0.13/0.58 inference(paramodulation,[status(thm)],[f15,f154])).
% 0.13/0.58 fof(f267,plain,(
% 0.13/0.58 ![X0,X1,X2]: (~theorem(implies(X0,or(X1,X2)))|theorem(or(implies(X0,X2),X1)))),
% 0.13/0.58 inference(resolution,[status(thm)],[f127,f51])).
% 0.13/0.58 fof(f271,plain,(
% 0.13/0.58 ~theorem(implies(not(implies(p,q)),not(q)))),
% 0.13/0.58 inference(resolution,[status(thm)],[f220,f19])).
% 0.13/0.58 fof(f359,plain,(
% 0.13/0.58 ![X0,X1,X2]: (~theorem(implies(X0,not(X1)))|~theorem(or(X2,X0))|theorem(implies(X1,X2)))),
% 0.13/0.58 inference(resolution,[status(thm)],[f214,f70])).
% 0.13/0.58 fof(f439,plain,(
% 0.13/0.58 ![X0,X1]: (~theorem(implies(X0,or(X1,X1)))|theorem(implies(X0,X1)))),
% 0.13/0.58 inference(resolution,[status(thm)],[f267,f180])).
% 0.13/0.58 fof(f459,plain,(
% 0.13/0.58 ![X0]: (theorem(implies(X0,X0)))),
% 0.13/0.58 inference(resolution,[status(thm)],[f439,f21])).
% 0.13/0.58 fof(f468,plain,(
% 0.13/0.58 ![X0]: (theorem(implies(X0,not(not(X0)))))),
% 0.13/0.58 inference(resolution,[status(thm)],[f459,f83])).
% 0.13/0.58 fof(f610,plain,(
% 0.13/0.58 ![X0,X1]: (~theorem(or(X0,X1))|theorem(implies(not(X1),X0)))),
% 0.13/0.58 inference(resolution,[status(thm)],[f359,f468])).
% 0.13/0.58 fof(f649,plain,(
% 0.13/0.58 ~theorem(or(not(q),implies(p,q)))),
% 0.13/0.58 inference(resolution,[status(thm)],[f610,f271])).
% 0.13/0.58 fof(f666,plain,(
% 0.13/0.58 ~theorem(implies(q,implies(p,q)))),
% 0.13/0.58 inference(forward_demodulation,[status(thm)],[f15,f649])).
% 0.13/0.58 fof(f667,plain,(
% 0.13/0.58 $false),
% 0.13/0.58 inference(forward_subsumption_resolution,[status(thm)],[f666,f23])).
% 0.13/0.58 % SZS output end CNFRefutation for theBenchmark.p
% 0.13/0.62 % Elapsed time: 0.234296 seconds
% 0.13/0.62 % CPU time: 1.526902 seconds
% 0.13/0.62 % Total memory used: 84.422 MB
% 0.13/0.62 % Net memory used: 81.897 MB
%------------------------------------------------------------------------------