%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : LCL192-3 : TPTP v9.3.1. Released v2.3.0.
% 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 01:09:33 PM UTC 2026
% Result : Unsatisfiable 223.28s 28.52s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LCL192-3 : TPTP v9.3.1. Released v2.3.0.
% 0.00/0.03 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.07/0.34 % Computer : n020.cluster.edu
% 0.07/0.34 % Model : x86_64 x86_64
% 0.07/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.34 % Memory : 8046.5625MB
% 0.07/0.34 % OS : Linux 6.8.0-71-generic
% 0.07/0.34 % CPULimit : 300
% 0.07/0.34 % WCLimit : 300
% 0.07/0.34 % DateTime : Mon Sep 21 00:11:02 UTC 2026
% 0.07/0.35 % CPUTime :
% 0.07/0.35 % Drodi V4.1.1
% 223.28/28.52 % Refutation found
% 223.28/28.52 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 223.28/28.52 % SZS output start CNFRefutation for theBenchmark
% 223.28/28.52 fof(f3,axiom,(
% 223.28/28.52 (![A,B]: (axiom(implies(or(A,B),or(B,A))) ))),
% 223.28/28.52 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 223.28/28.52 fof(f4,axiom,(
% 223.28/28.52 (![A,B,C]: (axiom(implies(or(A,or(B,C)),or(B,or(A,C)))) ))),
% 223.28/28.52 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 223.28/28.52 fof(f5,axiom,(
% 223.28/28.52 (![A,B,C]: (axiom(implies(implies(A,B),implies(or(C,A),or(C,B)))) ))),
% 223.28/28.52 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 223.28/28.52 fof(f6,axiom,(
% 223.28/28.52 (![X,Y]: (implies(X,Y) = or(not(X),Y) ))),
% 223.28/28.52 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 223.28/28.52 fof(f7,axiom,(
% 223.28/28.52 (![X]: (( theorem(X)| ~ axiom(X) ) ))),
% 223.28/28.52 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 223.28/28.52 fof(f8,axiom,(
% 223.28/28.52 (![X,Y]: (( theorem(X)| ~ theorem(implies(Y,X))| ~ theorem(Y) ) ))),
% 223.28/28.52 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 223.28/28.52 fof(f9,negated_conjecture,(
% 223.28/28.52 ~ theorem(implies(or(or(p,q),r),or(p,or(q,r)))) ),
% 223.28/28.52 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 223.28/28.52 fof(f12,plain,(
% 223.28/28.52 ![X0,X1]: (axiom(implies(or(X0,X1),or(X1,X0))))),
% 223.28/28.52 inference(cnf_transformation,[status(thm)],[f3])).
% 223.28/28.52 fof(f13,plain,(
% 223.28/28.52 ![X0,X1,X2]: (axiom(implies(or(X0,or(X1,X2)),or(X1,or(X0,X2)))))),
% 223.28/28.52 inference(cnf_transformation,[status(thm)],[f4])).
% 223.28/28.52 fof(f14,plain,(
% 223.28/28.52 ![X0,X1,X2]: (axiom(implies(implies(X0,X1),implies(or(X2,X0),or(X2,X1)))))),
% 223.28/28.52 inference(cnf_transformation,[status(thm)],[f5])).
% 223.28/28.52 fof(f15,plain,(
% 223.28/28.52 ![X0,X1]: (implies(X0,X1)=or(not(X0),X1))),
% 223.28/28.52 inference(cnf_transformation,[status(thm)],[f6])).
% 223.28/28.52 fof(f16,plain,(
% 223.28/28.52 ![X0]: (theorem(X0)|~axiom(X0))),
% 223.28/28.52 inference(cnf_transformation,[status(thm)],[f7])).
% 223.28/28.52 fof(f17,plain,(
% 223.28/28.52 ![Y]: ((![X]: (theorem(X)|~theorem(implies(Y,X))))|~theorem(Y))),
% 223.28/28.52 inference(miniscoping,[status(thm)],[f8])).
% 223.28/28.52 fof(f18,plain,(
% 223.28/28.52 ![X0,X1]: (theorem(X0)|~theorem(implies(X1,X0))|~theorem(X1))),
% 223.28/28.52 inference(cnf_transformation,[status(thm)],[f17])).
% 223.28/28.52 fof(f19,plain,(
% 223.28/28.52 ~theorem(implies(or(or(p,q),r),or(p,or(q,r))))),
% 223.28/28.52 inference(cnf_transformation,[status(thm)],[f9])).
% 223.28/28.52 fof(f46,plain,(
% 223.28/28.52 ![X0,X1]: (theorem(implies(or(X0,X1),or(X1,X0))))),
% 223.28/28.52 inference(resolution,[status(thm)],[f12,f16])).
% 223.28/28.52 fof(f60,plain,(
% 223.28/28.52 ![X0,X1,X2]: (theorem(implies(or(X0,or(X1,X2)),or(X1,or(X0,X2)))))),
% 223.28/28.52 inference(resolution,[status(thm)],[f13,f16])).
% 223.28/28.52 fof(f70,plain,(
% 223.28/28.52 ![X0,X1,X2]: (axiom(implies(implies(X0,X1),implies(implies(X2,X0),or(not(X2),X1)))))),
% 223.28/28.52 inference(paramodulation,[status(thm)],[f15,f14])).
% 223.28/28.52 fof(f72,plain,(
% 223.28/28.52 ![X0,X1,X2]: (axiom(implies(implies(X0,X1),implies(implies(X2,X0),implies(X2,X1)))))),
% 223.28/28.52 inference(forward_demodulation,[status(thm)],[f15,f70])).
% 223.28/28.52 fof(f174,plain,(
% 223.28/28.52 ![X0,X1]: (theorem(X0)|~theorem(X1)|~axiom(implies(X1,X0)))),
% 223.28/28.52 inference(resolution,[status(thm)],[f18,f16])).
% 223.28/28.52 fof(f258,plain,(
% 223.28/28.52 ![X0,X1,X2]: (theorem(implies(implies(X0,X1),implies(X0,X2)))|~theorem(implies(X1,X2)))),
% 223.28/28.52 inference(resolution,[status(thm)],[f72,f174])).
% 223.28/28.52 fof(f847,plain,(
% 223.28/28.52 ![X0,X1,X2]: (~theorem(implies(X0,X1))|theorem(implies(X2,X1))|~theorem(implies(X2,X0)))),
% 223.28/28.52 inference(resolution,[status(thm)],[f258,f18])).
% 223.28/28.52 fof(f1911,plain,(
% 223.28/28.52 ![X0]: (~theorem(implies(X0,or(p,or(q,r))))|~theorem(implies(or(or(p,q),r),X0)))),
% 223.28/28.52 inference(resolution,[status(thm)],[f847,f19])).
% 223.28/28.52 fof(f1985,plain,(
% 223.28/28.52 ![X0,X1]: (~theorem(implies(or(or(p,q),r),X0))|~theorem(implies(X1,or(p,or(q,r))))|~theorem(implies(X0,X1)))),
% 223.28/28.52 inference(resolution,[status(thm)],[f1911,f847])).
% 223.28/28.52 fof(f2770,plain,(
% 223.28/28.52 ![X0,X1,X2]: (theorem(X0)|~axiom(implies(implies(or(X1,X2),or(X2,X1)),X0)))),
% 223.28/28.52 inference(resolution,[status(thm)],[f46,f174])).
% 223.28/28.52 fof(f3566,plain,(
% 223.28/28.52 ![X0,X1,X2]: (theorem(implies(or(X0,or(X1,X2)),or(X0,or(X2,X1)))))),
% 223.28/28.52 inference(resolution,[status(thm)],[f2770,f14])).
% 223.28/28.52 fof(f6405,plain,(
% 223.28/28.52 ![X0]: (~theorem(implies(or(or(p,q),r),X0))|~theorem(implies(X0,or(p,or(r,q)))))),
% 223.28/28.52 inference(resolution,[status(thm)],[f3566,f1985])).
% 223.28/28.52 fof(f57961,plain,(
% 223.28/28.52 ~theorem(implies(or(or(p,q),r),or(r,or(p,q))))),
% 223.28/28.52 inference(resolution,[status(thm)],[f6405,f60])).
% 223.28/28.52 fof(f57997,plain,(
% 223.28/28.52 $false),
% 223.28/28.52 inference(forward_subsumption_resolution,[status(thm)],[f57961,f46])).
% 223.28/28.60 % SZS output end CNFRefutation for theBenchmark.p
% 14.30/28.80 % Elapsed time: 28.410686 seconds
% 14.30/28.80 % CPU time: 224.599651 seconds
% 14.30/28.80 % Total memory used: 1.425 GB
% 14.30/28.80 % Net memory used: 1.243 GB
%------------------------------------------------------------------------------