%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : LCL239-3 : TPTP v9.3.1. Released v2.3.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n015.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 01:09:42 PM UTC 2026
% Result : Unsatisfiable 0.09s 0.48s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LCL239-3 : TPTP v9.3.1. Released v2.3.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.37 % Computer : n015.cluster.edu
% 0.09/0.37 % Model : x86_64 x86_64
% 0.09/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.37 % Memory : 8046.5625MB
% 0.09/0.37 % OS : Linux 6.8.0-71-generic
% 0.09/0.37 % CPULimit : 300
% 0.09/0.37 % WCLimit : 300
% 0.09/0.37 % DateTime : Mon Sep 21 00:17:21 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.38 % Drodi V4.1.1
% 0.09/0.48 % Refutation found
% 0.09/0.48 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.09/0.48 % SZS output start CNFRefutation for theBenchmark
% 0.09/0.48 fof(f1,axiom,(
% 0.09/0.48 (![A]: (axiom(implies(or(A,A),A)) ))),
% 0.09/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.48 fof(f2,axiom,(
% 0.09/0.48 (![A,B]: (axiom(implies(A,or(B,A))) ))),
% 0.09/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.48 fof(f3,axiom,(
% 0.09/0.48 (![A,B]: (axiom(implies(or(A,B),or(B,A))) ))),
% 0.09/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.48 fof(f4,axiom,(
% 0.09/0.48 (![A,B,C]: (axiom(implies(or(A,or(B,C)),or(B,or(A,C)))) ))),
% 0.09/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.48 fof(f6,axiom,(
% 0.09/0.48 (![X,Y]: (implies(X,Y) = or(not(X),Y) ))),
% 0.09/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.48 fof(f7,axiom,(
% 0.09/0.48 (![X]: (( theorem(X)| ~ axiom(X) ) ))),
% 0.09/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.48 fof(f8,axiom,(
% 0.09/0.48 (![X,Y]: (( theorem(X)| ~ theorem(implies(Y,X))| ~ theorem(Y) ) ))),
% 0.09/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.48 fof(f9,axiom,(
% 0.09/0.48 (![P,Q]: (and(P,Q) = not(or(not(P),not(Q))) ))),
% 0.09/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.48 fof(f10,negated_conjecture,(
% 0.09/0.48 ~ theorem(not(and(p,not(p)))) ),
% 0.09/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.48 fof(f11,plain,(
% 0.09/0.48 ![X0]: (axiom(implies(or(X0,X0),X0)))),
% 0.09/0.48 inference(cnf_transformation,[status(thm)],[f1])).
% 0.09/0.48 fof(f12,plain,(
% 0.09/0.48 ![X0,X1]: (axiom(implies(X0,or(X1,X0))))),
% 0.09/0.48 inference(cnf_transformation,[status(thm)],[f2])).
% 0.09/0.48 fof(f13,plain,(
% 0.09/0.48 ![X0,X1]: (axiom(implies(or(X0,X1),or(X1,X0))))),
% 0.09/0.48 inference(cnf_transformation,[status(thm)],[f3])).
% 0.09/0.48 fof(f14,plain,(
% 0.09/0.48 ![X0,X1,X2]: (axiom(implies(or(X0,or(X1,X2)),or(X1,or(X0,X2)))))),
% 0.09/0.48 inference(cnf_transformation,[status(thm)],[f4])).
% 0.09/0.48 fof(f16,plain,(
% 0.09/0.48 ![X0,X1]: (implies(X0,X1)=or(not(X0),X1))),
% 0.09/0.48 inference(cnf_transformation,[status(thm)],[f6])).
% 0.09/0.48 fof(f17,plain,(
% 0.09/0.48 ![X0]: (theorem(X0)|~axiom(X0))),
% 0.09/0.48 inference(cnf_transformation,[status(thm)],[f7])).
% 0.09/0.48 fof(f18,plain,(
% 0.09/0.48 ![Y]: ((![X]: (theorem(X)|~theorem(implies(Y,X))))|~theorem(Y))),
% 0.09/0.48 inference(miniscoping,[status(thm)],[f8])).
% 0.09/0.48 fof(f19,plain,(
% 0.09/0.48 ![X0,X1]: (theorem(X0)|~theorem(implies(X1,X0))|~theorem(X1))),
% 0.09/0.48 inference(cnf_transformation,[status(thm)],[f18])).
% 0.09/0.48 fof(f20,plain,(
% 0.09/0.48 ![X0,X1]: (and(X0,X1)=not(or(not(X0),not(X1))))),
% 0.09/0.48 inference(cnf_transformation,[status(thm)],[f9])).
% 0.09/0.48 fof(f21,plain,(
% 0.09/0.48 ~theorem(not(and(p,not(p))))),
% 0.09/0.48 inference(cnf_transformation,[status(thm)],[f10])).
% 0.09/0.48 fof(f22,plain,(
% 0.09/0.48 ![X0]: (theorem(implies(or(X0,X0),X0)))),
% 0.09/0.48 inference(resolution,[status(thm)],[f11,f17])).
% 0.09/0.48 fof(f23,plain,(
% 0.09/0.48 ![X0,X1]: (theorem(implies(X0,or(X1,X0))))),
% 0.09/0.48 inference(resolution,[status(thm)],[f12,f17])).
% 0.09/0.48 fof(f24,plain,(
% 0.09/0.48 ![X0,X1]: (theorem(implies(or(X0,X1),or(X1,X0))))),
% 0.09/0.48 inference(resolution,[status(thm)],[f13,f17])).
% 0.09/0.48 fof(f32,plain,(
% 0.09/0.48 ![X0]: (theorem(X0)|~theorem(or(X0,X0)))),
% 0.09/0.48 inference(resolution,[status(thm)],[f19,f22])).
% 0.09/0.48 fof(f34,plain,(
% 0.09/0.48 ![X0,X1]: (theorem(or(X0,X1))|~theorem(X1))),
% 0.09/0.48 inference(resolution,[status(thm)],[f19,f23])).
% 0.09/0.48 fof(f36,plain,(
% 0.09/0.48 ![X0,X1,X2]: (theorem(implies(or(X0,or(X1,X2)),or(X1,or(X0,X2)))))),
% 0.09/0.48 inference(resolution,[status(thm)],[f14,f17])).
% 0.09/0.48 fof(f51,plain,(
% 0.09/0.48 ![X0,X1]: (theorem(or(X0,X1))|~theorem(or(X1,X0)))),
% 0.09/0.48 inference(resolution,[status(thm)],[f24,f19])).
% 0.09/0.48 fof(f94,plain,(
% 0.09/0.48 ![X0,X1]: (and(X0,X1)=not(implies(X0,not(X1))))),
% 0.09/0.48 inference(forward_demodulation,[status(thm)],[f16,f20])).
% 0.09/0.48 fof(f133,plain,(
% 0.09/0.48 ![X0,X1]: (theorem(or(X0,not(X1)))|~theorem(implies(X1,X0)))),
% 0.09/0.48 inference(paramodulation,[status(thm)],[f16,f51])).
% 0.09/0.48 fof(f173,plain,(
% 0.09/0.48 ![X0,X1,X2]: (theorem(or(X0,or(X1,X2)))|~theorem(or(X1,or(X0,X2))))),
% 0.09/0.48 inference(resolution,[status(thm)],[f36,f19])).
% 0.09/0.48 fof(f214,plain,(
% 0.09/0.48 ![X0,X1]: (theorem(or(or(X0,X1),not(X1))))),
% 0.09/0.48 inference(resolution,[status(thm)],[f133,f23])).
% 0.09/0.48 fof(f262,plain,(
% 0.09/0.48 ![X0,X1,X2]: (theorem(or(X0,or(or(X1,X2),not(X2)))))),
% 0.09/0.48 inference(resolution,[status(thm)],[f214,f34])).
% 0.09/0.48 fof(f930,plain,(
% 0.09/0.48 ![X0,X1,X2]: (theorem(or(or(X0,X1),or(X2,not(X1)))))),
% 0.09/0.48 inference(resolution,[status(thm)],[f173,f262])).
% 0.09/0.48 fof(f958,plain,(
% 0.09/0.48 ![X0,X1,X2]: (theorem(or(or(X0,not(X1)),or(X2,X1))))),
% 0.09/0.49 inference(resolution,[status(thm)],[f930,f51])).
% 0.09/0.49 fof(f1220,plain,(
% 0.09/0.49 ![X0,X1,X2]: (theorem(or(X0,or(or(X1,not(X2)),X2))))),
% 0.09/0.49 inference(resolution,[status(thm)],[f958,f173])).
% 0.09/0.49 fof(f1310,plain,(
% 0.09/0.49 ![X0,X1]: (theorem(or(or(X0,not(X1)),X1)))),
% 0.09/0.49 inference(resolution,[status(thm)],[f1220,f32])).
% 0.09/0.49 fof(f1322,plain,(
% 0.09/0.49 ![X0,X1]: (theorem(or(X0,or(X1,not(X0)))))),
% 0.09/0.49 inference(resolution,[status(thm)],[f1310,f51])).
% 0.09/0.49 fof(f1331,plain,(
% 0.09/0.49 ![X0,X1]: (theorem(or(X0,or(X1,not(X1)))))),
% 0.09/0.49 inference(resolution,[status(thm)],[f1322,f173])).
% 0.09/0.49 fof(f1355,plain,(
% 0.09/0.49 ![X0]: (theorem(or(X0,not(X0))))),
% 0.09/0.49 inference(resolution,[status(thm)],[f1331,f32])).
% 0.09/0.49 fof(f1372,plain,(
% 0.09/0.49 ![X0]: (theorem(implies(X0,not(not(X0)))))),
% 0.09/0.49 inference(paramodulation,[status(thm)],[f16,f1355])).
% 0.09/0.49 fof(f1426,plain,(
% 0.09/0.49 ![X0]: (theorem(not(not(X0)))|~theorem(X0))),
% 0.09/0.49 inference(resolution,[status(thm)],[f1372,f19])).
% 0.09/0.49 fof(f1514,plain,(
% 0.09/0.49 ![X0]: (theorem(not(not(implies(X0,not(not(X0)))))))),
% 0.09/0.49 inference(resolution,[status(thm)],[f1426,f1372])).
% 0.09/0.49 fof(f1543,plain,(
% 0.09/0.49 ![X0]: (theorem(not(and(X0,not(X0)))))),
% 0.09/0.49 inference(forward_demodulation,[status(thm)],[f94,f1514])).
% 0.09/0.49 fof(f1546,plain,(
% 0.09/0.49 $false),
% 0.09/0.49 inference(backward_subsumption_resolution,[status(thm)],[f21,f1543])).
% 0.09/0.49 % SZS output end CNFRefutation for theBenchmark.p
% 0.09/0.49 % Elapsed time: 0.112964 seconds
% 0.09/0.49 % CPU time: 0.669086 seconds
% 0.09/0.49 % Total memory used: 81.205 MB
% 0.09/0.49 % Net memory used: 80.521 MB
%------------------------------------------------------------------------------