%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : LCL212-3 : 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 : 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 01:09:37 PM UTC 2026
% Result : Unsatisfiable 0.13s 0.39s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LCL212-3 : 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 : n008.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 00:12:08 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.08/0.36 % Drodi V4.1.1
% 0.13/0.39 % Refutation found
% 0.13/0.39 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.13/0.39 % SZS output start CNFRefutation for theBenchmark
% 0.13/0.39 fof(f2,axiom,(
% 0.13/0.39 (![A,B]: (axiom(implies(A,or(B,A))) ))),
% 0.13/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f6,axiom,(
% 0.13/0.39 (![X,Y]: (implies(X,Y) = or(not(X),Y) ))),
% 0.13/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f7,axiom,(
% 0.13/0.39 (![X]: (( theorem(X)| ~ axiom(X) ) ))),
% 0.13/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f8,axiom,(
% 0.13/0.39 (![X,Y]: (( theorem(X)| ~ theorem(implies(Y,X))| ~ theorem(Y) ) ))),
% 0.13/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f9,negated_conjecture,(
% 0.13/0.39 ~ theorem(implies(not(p),implies(q,implies(implies(p,q),q)))) ),
% 0.13/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f11,plain,(
% 0.13/0.39 ![X0,X1]: (axiom(implies(X0,or(X1,X0))))),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f2])).
% 0.13/0.39 fof(f15,plain,(
% 0.13/0.39 ![X0,X1]: (implies(X0,X1)=or(not(X0),X1))),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f6])).
% 0.13/0.39 fof(f16,plain,(
% 0.13/0.39 ![X0]: (theorem(X0)|~axiom(X0))),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f7])).
% 0.13/0.39 fof(f17,plain,(
% 0.13/0.39 ![Y]: ((![X]: (theorem(X)|~theorem(implies(Y,X))))|~theorem(Y))),
% 0.13/0.39 inference(miniscoping,[status(thm)],[f8])).
% 0.13/0.39 fof(f18,plain,(
% 0.13/0.39 ![X0,X1]: (theorem(X0)|~theorem(implies(X1,X0))|~theorem(X1))),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f17])).
% 0.13/0.39 fof(f19,plain,(
% 0.13/0.39 ~theorem(implies(not(p),implies(q,implies(implies(p,q),q))))),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f9])).
% 0.13/0.39 fof(f24,plain,(
% 0.13/0.39 ![X0,X1]: (theorem(implies(X0,or(X1,X0))))),
% 0.13/0.39 inference(resolution,[status(thm)],[f11,f16])).
% 0.13/0.39 fof(f27,plain,(
% 0.13/0.39 ![X0,X1]: (theorem(or(X0,X1))|~theorem(X1))),
% 0.13/0.39 inference(resolution,[status(thm)],[f24,f18])).
% 0.13/0.39 fof(f28,plain,(
% 0.13/0.39 ![X0,X1]: (theorem(implies(X0,implies(X1,X0))))),
% 0.13/0.39 inference(paramodulation,[status(thm)],[f15,f24])).
% 0.13/0.39 fof(f49,plain,(
% 0.13/0.39 ![X0,X1]: (theorem(implies(X0,X1))|~theorem(X1))),
% 0.13/0.39 inference(paramodulation,[status(thm)],[f15,f27])).
% 0.13/0.39 fof(f56,plain,(
% 0.13/0.39 ~theorem(implies(q,implies(implies(p,q),q)))),
% 0.13/0.39 inference(resolution,[status(thm)],[f49,f19])).
% 0.13/0.39 fof(f58,plain,(
% 0.13/0.39 $false),
% 0.13/0.39 inference(forward_subsumption_resolution,[status(thm)],[f56,f28])).
% 0.13/0.39 % SZS output end CNFRefutation for theBenchmark.p
% 0.13/0.42 % Elapsed time: 0.058170 seconds
% 0.13/0.42 % CPU time: 0.161851 seconds
% 0.13/0.42 % Total memory used: 66.619 MB
% 0.13/0.42 % Net memory used: 65.929 MB
%------------------------------------------------------------------------------