%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : LCL322-3 : 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 : n002.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 01:09:50 PM UTC 2026
% Result : Unsatisfiable 0.12s 0.38s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LCL322-3 : TPTP v9.3.1. Released v2.3.0.
% 0.00/0.03 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.35 % Computer : n002.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 00:23:31 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.12/0.36 % Drodi V4.1.1
% 0.12/0.38 % Refutation found
% 0.12/0.38 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.12/0.38 % SZS output start CNFRefutation for theBenchmark
% 0.12/0.38 fof(f2,axiom,(
% 0.12/0.38 (![A,B]: (axiom(implies(A,or(B,A))) ))),
% 0.12/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.38 fof(f3,axiom,(
% 0.12/0.38 (![A,B]: (axiom(implies(or(A,B),or(B,A))) ))),
% 0.12/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.38 fof(f4,axiom,(
% 0.12/0.38 (![A,B,C]: (axiom(implies(or(A,or(B,C)),or(B,or(A,C)))) ))),
% 0.12/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.38 fof(f5,axiom,(
% 0.12/0.38 (![A,B,C]: (axiom(implies(implies(A,B),implies(or(C,A),or(C,B)))) ))),
% 0.12/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.38 fof(f6,axiom,(
% 0.12/0.38 (![X,Y]: (implies(X,Y) = or(not(X),Y) ))),
% 0.12/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.38 fof(f7,axiom,(
% 0.12/0.38 (![X]: (( theorem(X)| ~ axiom(X) ) ))),
% 0.12/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.38 fof(f8,axiom,(
% 0.12/0.38 (![X,Y]: (( theorem(X)| ~ theorem(implies(Y,X))| ~ theorem(Y) ) ))),
% 0.12/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.39 fof(f9,negated_conjecture,(
% 0.12/0.39 ~ theorem(or(implies(p,q),implies(q,p))) ),
% 0.12/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.39 fof(f11,plain,(
% 0.12/0.39 ![X0,X1]: (axiom(implies(X0,or(X1,X0))))),
% 0.12/0.39 inference(cnf_transformation,[status(thm)],[f2])).
% 0.12/0.39 fof(f12,plain,(
% 0.12/0.39 ![X0,X1]: (axiom(implies(or(X0,X1),or(X1,X0))))),
% 0.12/0.39 inference(cnf_transformation,[status(thm)],[f3])).
% 0.12/0.39 fof(f13,plain,(
% 0.12/0.39 ![X0,X1,X2]: (axiom(implies(or(X0,or(X1,X2)),or(X1,or(X0,X2)))))),
% 0.12/0.39 inference(cnf_transformation,[status(thm)],[f4])).
% 0.12/0.39 fof(f14,plain,(
% 0.12/0.39 ![X0,X1,X2]: (axiom(implies(implies(X0,X1),implies(or(X2,X0),or(X2,X1)))))),
% 0.12/0.39 inference(cnf_transformation,[status(thm)],[f5])).
% 0.12/0.39 fof(f15,plain,(
% 0.12/0.39 ![X0,X1]: (implies(X0,X1)=or(not(X0),X1))),
% 0.12/0.39 inference(cnf_transformation,[status(thm)],[f6])).
% 0.12/0.39 fof(f16,plain,(
% 0.12/0.39 ![X0]: (theorem(X0)|~axiom(X0))),
% 0.12/0.39 inference(cnf_transformation,[status(thm)],[f7])).
% 0.12/0.39 fof(f17,plain,(
% 0.12/0.39 ![Y]: ((![X]: (theorem(X)|~theorem(implies(Y,X))))|~theorem(Y))),
% 0.12/0.39 inference(miniscoping,[status(thm)],[f8])).
% 0.12/0.39 fof(f18,plain,(
% 0.12/0.39 ![X0,X1]: (theorem(X0)|~theorem(implies(X1,X0))|~theorem(X1))),
% 0.12/0.39 inference(cnf_transformation,[status(thm)],[f17])).
% 0.12/0.39 fof(f19,plain,(
% 0.12/0.39 ~theorem(or(implies(p,q),implies(q,p)))),
% 0.12/0.39 inference(cnf_transformation,[status(thm)],[f9])).
% 0.12/0.39 fof(f22,plain,(
% 0.12/0.39 ![X0,X1]: (theorem(implies(X0,or(X1,X0))))),
% 0.12/0.39 inference(resolution,[status(thm)],[f11,f16])).
% 0.12/0.39 fof(f23,plain,(
% 0.12/0.39 ![X0,X1]: (theorem(or(X0,X1))|~theorem(X1))),
% 0.12/0.39 inference(resolution,[status(thm)],[f22,f18])).
% 0.12/0.39 fof(f26,plain,(
% 0.12/0.39 ![X0,X1]: (theorem(implies(or(X0,X1),or(X1,X0))))),
% 0.12/0.39 inference(resolution,[status(thm)],[f12,f16])).
% 0.12/0.39 fof(f27,plain,(
% 0.12/0.39 ![X0,X1,X2]: (theorem(implies(or(X0,or(X1,X2)),or(X1,or(X0,X2)))))),
% 0.12/0.39 inference(resolution,[status(thm)],[f13,f16])).
% 0.12/0.39 fof(f28,plain,(
% 0.12/0.39 ![X0,X1,X2]: (theorem(implies(implies(X0,X1),implies(or(X2,X0),or(X2,X1)))))),
% 0.12/0.39 inference(resolution,[status(thm)],[f14,f16])).
% 0.12/0.39 fof(f29,plain,(
% 0.12/0.39 ![X0,X1]: (theorem(or(X0,X1))|~theorem(or(X1,X0)))),
% 0.12/0.39 inference(resolution,[status(thm)],[f26,f18])).
% 0.12/0.39 fof(f34,plain,(
% 0.12/0.39 ![X0,X1,X2]: (theorem(or(X0,or(X1,X2)))|~theorem(or(X1,or(X0,X2))))),
% 0.12/0.39 inference(resolution,[status(thm)],[f27,f18])).
% 0.12/0.39 fof(f35,plain,(
% 0.12/0.39 ![X0,X1,X2]: (theorem(implies(or(X0,X1),or(X0,X2)))|~theorem(implies(X1,X2)))),
% 0.12/0.39 inference(resolution,[status(thm)],[f28,f18])).
% 0.12/0.39 fof(f45,plain,(
% 0.12/0.39 ![X0,X1]: (theorem(or(X0,not(X1)))|~theorem(implies(X1,X0)))),
% 0.12/0.39 inference(paramodulation,[status(thm)],[f15,f29])).
% 0.12/0.39 fof(f46,plain,(
% 0.12/0.39 ![X0,X1]: (theorem(implies(or(X0,not(X1)),implies(X1,X0))))),
% 0.12/0.39 inference(paramodulation,[status(thm)],[f15,f26])).
% 0.12/0.39 fof(f55,plain,(
% 0.12/0.39 ![X0,X1]: (theorem(implies(X0,implies(X1,X0))))),
% 0.12/0.39 inference(paramodulation,[status(thm)],[f15,f22])).
% 0.12/0.39 fof(f88,plain,(
% 0.12/0.39 ![X0,X1,X2]: (theorem(or(X0,or(X1,X2)))|~theorem(or(X0,X2)))),
% 0.12/0.39 inference(resolution,[status(thm)],[f34,f23])).
% 0.12/0.39 fof(f93,plain,(
% 0.12/0.39 ![X0,X1,X2]: (~theorem(implies(X0,X1))|theorem(or(X2,X1))|~theorem(or(X2,X0)))),
% 0.12/0.39 inference(resolution,[status(thm)],[f35,f18])).
% 0.12/0.39 fof(f219,plain,(
% 0.12/0.39 ![X0]: (~theorem(implies(X0,implies(q,p)))|~theorem(or(implies(p,q),X0)))),
% 0.12/0.39 inference(resolution,[status(thm)],[f93,f19])).
% 0.12/0.39 fof(f240,plain,(
% 0.12/0.39 ~theorem(or(implies(p,q),or(p,not(q))))),
% 0.12/0.39 inference(resolution,[status(thm)],[f219,f46])).
% 0.12/0.39 fof(f305,plain,(
% 0.12/0.39 ~theorem(or(implies(p,q),not(q)))),
% 0.12/0.39 inference(resolution,[status(thm)],[f240,f88])).
% 0.12/0.39 fof(f331,plain,(
% 0.12/0.39 ~theorem(implies(q,implies(p,q)))),
% 0.12/0.39 inference(resolution,[status(thm)],[f305,f45])).
% 0.12/0.39 fof(f337,plain,(
% 0.12/0.39 $false),
% 0.12/0.39 inference(forward_subsumption_resolution,[status(thm)],[f331,f55])).
% 0.12/0.39 % SZS output end CNFRefutation for theBenchmark.p
% 0.12/0.41 % Elapsed time: 0.050959 seconds
% 0.12/0.41 % CPU time: 0.185961 seconds
% 0.12/0.41 % Total memory used: 67.966 MB
% 0.12/0.41 % Net memory used: 67.366 MB
%------------------------------------------------------------------------------