%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : LCL189-3 : 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 : n003.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 01:09:32 PM UTC 2026
% Result : Unsatisfiable 0.12s 0.43s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LCL189-3 : TPTP v9.3.1. Released v2.3.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.35 % Computer : n003.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 00:12:00 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.08/0.36 % Drodi V4.1.1
% 0.12/0.43 % Refutation found
% 0.12/0.43 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.12/0.43 % SZS output start CNFRefutation for theBenchmark
% 0.12/0.43 fof(f1,axiom,(
% 0.12/0.43 (![A]: (axiom(implies(or(A,A),A)) ))),
% 0.12/0.43 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.43 fof(f2,axiom,(
% 0.12/0.43 (![A,B]: (axiom(implies(A,or(B,A))) ))),
% 0.12/0.43 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.43 fof(f4,axiom,(
% 0.12/0.43 (![A,B,C]: (axiom(implies(or(A,or(B,C)),or(B,or(A,C)))) ))),
% 0.12/0.43 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.43 fof(f6,axiom,(
% 0.12/0.43 (![X,Y]: (implies(X,Y) = or(not(X),Y) ))),
% 0.12/0.43 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.43 fof(f7,axiom,(
% 0.12/0.43 (![X]: (( theorem(X)| ~ axiom(X) ) ))),
% 0.12/0.43 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.43 fof(f8,axiom,(
% 0.12/0.43 (![X,Y]: (( theorem(X)| ~ theorem(implies(Y,X))| ~ theorem(Y) ) ))),
% 0.12/0.43 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.43 fof(f9,negated_conjecture,(
% 0.12/0.43 ~ theorem(or(not(p),implies(implies(p,q),q))) ),
% 0.12/0.43 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.43 fof(f10,plain,(
% 0.12/0.43 ![X0]: (axiom(implies(or(X0,X0),X0)))),
% 0.12/0.43 inference(cnf_transformation,[status(thm)],[f1])).
% 0.12/0.43 fof(f11,plain,(
% 0.12/0.43 ![X0,X1]: (axiom(implies(X0,or(X1,X0))))),
% 0.12/0.43 inference(cnf_transformation,[status(thm)],[f2])).
% 0.12/0.43 fof(f13,plain,(
% 0.12/0.43 ![X0,X1,X2]: (axiom(implies(or(X0,or(X1,X2)),or(X1,or(X0,X2)))))),
% 0.12/0.43 inference(cnf_transformation,[status(thm)],[f4])).
% 0.12/0.43 fof(f15,plain,(
% 0.12/0.43 ![X0,X1]: (implies(X0,X1)=or(not(X0),X1))),
% 0.12/0.43 inference(cnf_transformation,[status(thm)],[f6])).
% 0.12/0.43 fof(f16,plain,(
% 0.12/0.43 ![X0]: (theorem(X0)|~axiom(X0))),
% 0.12/0.43 inference(cnf_transformation,[status(thm)],[f7])).
% 0.12/0.43 fof(f17,plain,(
% 0.12/0.43 ![Y]: ((![X]: (theorem(X)|~theorem(implies(Y,X))))|~theorem(Y))),
% 0.12/0.43 inference(miniscoping,[status(thm)],[f8])).
% 0.12/0.43 fof(f18,plain,(
% 0.12/0.43 ![X0,X1]: (theorem(X0)|~theorem(implies(X1,X0))|~theorem(X1))),
% 0.12/0.43 inference(cnf_transformation,[status(thm)],[f17])).
% 0.12/0.43 fof(f19,plain,(
% 0.12/0.43 ~theorem(or(not(p),implies(implies(p,q),q)))),
% 0.12/0.43 inference(cnf_transformation,[status(thm)],[f9])).
% 0.12/0.43 fof(f20,plain,(
% 0.12/0.43 ~theorem(implies(p,implies(implies(p,q),q)))),
% 0.12/0.43 inference(forward_demodulation,[status(thm)],[f15,f19])).
% 0.12/0.43 fof(f21,plain,(
% 0.12/0.43 ![X0]: (theorem(implies(or(X0,X0),X0)))),
% 0.12/0.43 inference(resolution,[status(thm)],[f10,f16])).
% 0.12/0.43 fof(f23,plain,(
% 0.12/0.43 ![X0]: (theorem(X0)|~theorem(or(X0,X0)))),
% 0.12/0.43 inference(resolution,[status(thm)],[f21,f18])).
% 0.12/0.43 fof(f28,plain,(
% 0.12/0.43 ![X0,X1]: (theorem(implies(X0,or(X1,X0))))),
% 0.12/0.43 inference(resolution,[status(thm)],[f11,f16])).
% 0.12/0.43 fof(f38,plain,(
% 0.12/0.43 ![X0,X1,X2]: (axiom(implies(implies(X0,or(X1,X2)),or(X1,or(not(X0),X2)))))),
% 0.12/0.43 inference(paramodulation,[status(thm)],[f15,f13])).
% 0.12/0.43 fof(f42,plain,(
% 0.12/0.43 ![X0,X1,X2]: (axiom(implies(implies(X0,or(X1,X2)),or(X1,implies(X0,X2)))))),
% 0.12/0.43 inference(forward_demodulation,[status(thm)],[f15,f38])).
% 0.12/0.43 fof(f84,plain,(
% 0.12/0.43 ![X0,X1,X2]: (axiom(implies(implies(X0,implies(X1,X2)),or(not(X1),implies(X0,X2)))))),
% 0.12/0.43 inference(paramodulation,[status(thm)],[f15,f42])).
% 0.12/0.43 fof(f86,plain,(
% 0.12/0.43 ![X0,X1,X2]: (axiom(implies(implies(X0,implies(X1,X2)),implies(X1,implies(X0,X2)))))),
% 0.12/0.43 inference(forward_demodulation,[status(thm)],[f15,f84])).
% 0.12/0.43 fof(f179,plain,(
% 0.12/0.43 ![X0,X1]: (theorem(X0)|~theorem(X1)|~axiom(implies(X1,X0)))),
% 0.12/0.43 inference(resolution,[status(thm)],[f18,f16])).
% 0.12/0.43 fof(f255,plain,(
% 0.12/0.43 ![X0,X1,X2]: (theorem(X0)|~axiom(implies(implies(X1,or(X2,X1)),X0)))),
% 0.12/0.43 inference(resolution,[status(thm)],[f179,f28])).
% 0.12/0.43 fof(f385,plain,(
% 0.12/0.43 ![X0,X1]: (theorem(or(X0,implies(X1,X1))))),
% 0.12/0.43 inference(resolution,[status(thm)],[f255,f42])).
% 0.12/0.43 fof(f415,plain,(
% 0.12/0.43 ![X0]: (theorem(implies(X0,X0)))),
% 0.12/0.43 inference(resolution,[status(thm)],[f385,f23])).
% 0.12/0.43 fof(f433,plain,(
% 0.12/0.43 ![X0,X1]: (theorem(X0)|~axiom(implies(implies(X1,X1),X0)))),
% 0.12/0.43 inference(resolution,[status(thm)],[f415,f179])).
% 0.12/0.43 fof(f749,plain,(
% 0.12/0.43 ![X0,X1]: (theorem(implies(X0,implies(implies(X0,X1),X1))))),
% 0.12/0.43 inference(resolution,[status(thm)],[f433,f86])).
% 0.12/0.43 fof(f758,plain,(
% 0.12/0.43 $false),
% 0.12/0.43 inference(backward_subsumption_resolution,[status(thm)],[f20,f749])).
% 0.12/0.43 % SZS output end CNFRefutation for theBenchmark.p
% 0.12/0.47 % Elapsed time: 0.107975 seconds
% 0.12/0.47 % CPU time: 0.329742 seconds
% 0.12/0.47 % Total memory used: 39.211 MB
% 0.12/0.47 % Net memory used: 39.021 MB
%------------------------------------------------------------------------------