%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : LCL301-3 : 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 : n012.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 01:09:48 PM UTC 2026
% Result : Unsatisfiable 0.03s 0.37s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : LCL301-3 : TPTP v9.3.1. Released v2.3.0.
% 0.00/0.02 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.03/0.29 % Computer : n012.cluster.edu
% 0.03/0.29 % Model : x86_64 x86_64
% 0.03/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.03/0.29 % Memory : 8046.5625MB
% 0.03/0.29 % OS : Linux 6.8.0-71-generic
% 0.03/0.29 % CPULimit : 300
% 0.03/0.29 % WCLimit : 300
% 0.03/0.29 % DateTime : Mon Sep 21 00:19:36 UTC 2026
% 0.03/0.29 % CPUTime :
% 0.03/0.30 % Drodi V4.1.1
% 0.03/0.37 % Refutation found
% 0.03/0.37 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.03/0.37 % SZS output start CNFRefutation for theBenchmark
% 0.03/0.37 fof(f1,axiom,(
% 0.03/0.37 (![A]: (axiom(implies(or(A,A),A)) ))),
% 0.03/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.03/0.37 fof(f2,axiom,(
% 0.03/0.37 (![A,B]: (axiom(implies(A,or(B,A))) ))),
% 0.03/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.03/0.37 fof(f3,axiom,(
% 0.03/0.37 (![A,B]: (axiom(implies(or(A,B),or(B,A))) ))),
% 0.03/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.03/0.37 fof(f4,axiom,(
% 0.03/0.37 (![A,B,C]: (axiom(implies(or(A,or(B,C)),or(B,or(A,C)))) ))),
% 0.03/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.03/0.37 fof(f6,axiom,(
% 0.03/0.37 (![X,Y]: (implies(X,Y) = or(not(X),Y) ))),
% 0.03/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.03/0.37 fof(f7,axiom,(
% 0.03/0.37 (![X]: (( theorem(X)| ~ axiom(X) ) ))),
% 0.03/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.03/0.37 fof(f8,axiom,(
% 0.03/0.37 (![X,Y]: (( theorem(X)| ~ theorem(implies(Y,X))| ~ theorem(Y) ) ))),
% 0.03/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.03/0.37 fof(f9,axiom,(
% 0.03/0.37 (![P,Q]: (and(P,Q) = not(or(not(P),not(Q))) ))),
% 0.03/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.03/0.37 fof(f10,axiom,(
% 0.03/0.37 (![P,Q]: (equivalent(P,Q) = and(implies(P,Q),implies(Q,P)) ))),
% 0.03/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.03/0.37 fof(f11,negated_conjecture,(
% 0.03/0.37 ~ theorem(equivalent(not(implies(not(p),not(q))),and(not(p),q))) ),
% 0.03/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.03/0.37 fof(f12,plain,(
% 0.03/0.37 ![X0]: (axiom(implies(or(X0,X0),X0)))),
% 0.03/0.37 inference(cnf_transformation,[status(thm)],[f1])).
% 0.03/0.37 fof(f13,plain,(
% 0.03/0.37 ![X0,X1]: (axiom(implies(X0,or(X1,X0))))),
% 0.03/0.37 inference(cnf_transformation,[status(thm)],[f2])).
% 0.03/0.37 fof(f14,plain,(
% 0.03/0.37 ![X0,X1]: (axiom(implies(or(X0,X1),or(X1,X0))))),
% 0.03/0.37 inference(cnf_transformation,[status(thm)],[f3])).
% 0.03/0.37 fof(f15,plain,(
% 0.03/0.37 ![X0,X1,X2]: (axiom(implies(or(X0,or(X1,X2)),or(X1,or(X0,X2)))))),
% 0.03/0.37 inference(cnf_transformation,[status(thm)],[f4])).
% 0.03/0.37 fof(f17,plain,(
% 0.03/0.37 ![X0,X1]: (implies(X0,X1)=or(not(X0),X1))),
% 0.03/0.37 inference(cnf_transformation,[status(thm)],[f6])).
% 0.03/0.37 fof(f18,plain,(
% 0.03/0.37 ![X0]: (theorem(X0)|~axiom(X0))),
% 0.03/0.37 inference(cnf_transformation,[status(thm)],[f7])).
% 0.03/0.37 fof(f19,plain,(
% 0.03/0.37 ![Y]: ((![X]: (theorem(X)|~theorem(implies(Y,X))))|~theorem(Y))),
% 0.03/0.37 inference(miniscoping,[status(thm)],[f8])).
% 0.03/0.37 fof(f20,plain,(
% 0.03/0.37 ![X0,X1]: (theorem(X0)|~theorem(implies(X1,X0))|~theorem(X1))),
% 0.03/0.37 inference(cnf_transformation,[status(thm)],[f19])).
% 0.03/0.37 fof(f21,plain,(
% 0.03/0.37 ![X0,X1]: (and(X0,X1)=not(or(not(X0),not(X1))))),
% 0.03/0.37 inference(cnf_transformation,[status(thm)],[f9])).
% 0.03/0.37 fof(f22,plain,(
% 0.03/0.37 ![X0,X1]: (equivalent(X0,X1)=and(implies(X0,X1),implies(X1,X0)))),
% 0.03/0.37 inference(cnf_transformation,[status(thm)],[f10])).
% 0.03/0.37 fof(f23,plain,(
% 0.03/0.37 ~theorem(equivalent(not(implies(not(p),not(q))),and(not(p),q)))),
% 0.03/0.37 inference(cnf_transformation,[status(thm)],[f11])).
% 0.03/0.37 fof(f24,plain,(
% 0.03/0.37 ~theorem(equivalent(and(not(p),q),and(not(p),q)))),
% 0.03/0.37 inference(backward_demodulation,[status(thm)],[f25,f23])).
% 0.03/0.37 fof(f25,plain,(
% 0.03/0.37 ![X0,X1]: (and(X0,X1)=not(implies(X0,not(X1))))),
% 0.03/0.37 inference(forward_demodulation,[status(thm)],[f17,f21])).
% 0.03/0.37 fof(f27,plain,(
% 0.03/0.37 ![X0,X1,X2]: (implies(implies(X0,not(X1)),X2)=or(and(X0,X1),X2))),
% 0.03/0.37 inference(paramodulation,[status(thm)],[f25,f17])).
% 0.03/0.37 fof(f91,plain,(
% 0.03/0.37 ![X0]: (theorem(implies(or(X0,X0),X0)))),
% 0.03/0.37 inference(resolution,[status(thm)],[f12,f18])).
% 0.03/0.37 fof(f94,plain,(
% 0.03/0.37 ![X0,X1]: (theorem(implies(X0,or(X1,X0))))),
% 0.03/0.37 inference(resolution,[status(thm)],[f13,f18])).
% 0.03/0.37 fof(f98,plain,(
% 0.03/0.37 ![X0]: (theorem(X0)|~theorem(or(X0,X0)))),
% 0.03/0.37 inference(resolution,[status(thm)],[f91,f20])).
% 0.03/0.37 fof(f99,plain,(
% 0.03/0.37 ![X0]: (theorem(implies(implies(X0,not(X0)),not(X0))))),
% 0.03/0.37 inference(paramodulation,[status(thm)],[f17,f91])).
% 0.03/0.37 fof(f100,plain,(
% 0.03/0.37 ![X0]: (theorem(or(and(X0,X0),not(X0))))),
% 0.03/0.37 inference(forward_demodulation,[status(thm)],[f27,f99])).
% 0.03/0.37 fof(f101,plain,(
% 0.03/0.37 ![X0,X1]: (theorem(or(X0,X1))|~theorem(X1))),
% 0.03/0.37 inference(resolution,[status(thm)],[f94,f20])).
% 0.03/0.37 fof(f148,plain,(
% 0.03/0.37 ![X0,X1]: (theorem(implies(or(X0,X1),or(X1,X0))))),
% 0.03/0.37 inference(resolution,[status(thm)],[f14,f18])).
% 0.03/0.37 fof(f153,plain,(
% 0.03/0.37 ![X0,X1,X2]: (theorem(implies(or(X0,or(X1,X2)),or(X1,or(X0,X2)))))),
% 0.03/0.38 inference(resolution,[status(thm)],[f15,f18])).
% 0.03/0.38 fof(f204,plain,(
% 0.03/0.38 ![X0,X1]: (theorem(or(X0,X1))|~theorem(or(X1,X0)))),
% 0.03/0.38 inference(resolution,[status(thm)],[f148,f20])).
% 0.03/0.38 fof(f209,plain,(
% 0.03/0.38 ![X0,X1]: (theorem(implies(or(X0,not(X1)),implies(X1,X0))))),
% 0.03/0.38 inference(paramodulation,[status(thm)],[f17,f148])).
% 0.03/0.38 fof(f340,plain,(
% 0.03/0.38 ![X0,X1,X2]: (theorem(or(X0,or(X1,X2)))|~theorem(or(X1,or(X0,X2))))),
% 0.03/0.38 inference(resolution,[status(thm)],[f153,f20])).
% 0.03/0.38 fof(f359,plain,(
% 0.03/0.38 ![X0]: (theorem(or(not(X0),and(X0,X0))))),
% 0.03/0.38 inference(resolution,[status(thm)],[f204,f100])).
% 0.03/0.38 fof(f361,plain,(
% 0.03/0.38 ![X0,X1]: (theorem(or(X0,not(X1)))|~theorem(implies(X1,X0)))),
% 0.03/0.38 inference(paramodulation,[status(thm)],[f17,f204])).
% 0.03/0.38 fof(f362,plain,(
% 0.03/0.38 ![X0]: (theorem(implies(X0,and(X0,X0))))),
% 0.03/0.38 inference(forward_demodulation,[status(thm)],[f17,f359])).
% 0.03/0.38 fof(f368,plain,(
% 0.03/0.38 ![X0]: (theorem(implies(implies(X0,X0),equivalent(X0,X0))))),
% 0.03/0.38 inference(paramodulation,[status(thm)],[f22,f362])).
% 0.03/0.38 fof(f511,plain,(
% 0.03/0.38 ![X0]: (theorem(equivalent(X0,X0))|~theorem(implies(X0,X0)))),
% 0.03/0.38 inference(resolution,[status(thm)],[f368,f20])).
% 0.03/0.38 fof(f643,plain,(
% 0.03/0.38 ![X0,X1]: (theorem(implies(X0,X1))|~theorem(or(X1,not(X0))))),
% 0.03/0.38 inference(resolution,[status(thm)],[f209,f20])).
% 0.03/0.38 fof(f787,plain,(
% 0.03/0.38 ![X0,X1]: (theorem(or(or(X0,X1),not(X1))))),
% 0.03/0.38 inference(resolution,[status(thm)],[f361,f94])).
% 0.03/0.38 fof(f810,plain,(
% 0.03/0.38 ![X0,X1,X2]: (theorem(or(X0,or(or(X1,X2),not(X2)))))),
% 0.03/0.38 inference(resolution,[status(thm)],[f787,f101])).
% 0.03/0.38 fof(f1140,plain,(
% 0.03/0.38 ![X0,X1,X2]: (theorem(or(or(X0,X1),or(X2,not(X1)))))),
% 0.03/0.38 inference(resolution,[status(thm)],[f340,f810])).
% 0.03/0.38 fof(f1160,plain,(
% 0.03/0.38 ![X0,X1,X2]: (theorem(or(or(X0,not(X1)),or(X2,X1))))),
% 0.03/0.38 inference(resolution,[status(thm)],[f1140,f204])).
% 0.03/0.38 fof(f1396,plain,(
% 0.03/0.38 ![X0,X1,X2]: (theorem(or(X0,or(or(X1,not(X2)),X2))))),
% 0.03/0.38 inference(resolution,[status(thm)],[f1160,f340])).
% 0.03/0.38 fof(f1544,plain,(
% 0.03/0.38 ![X0,X1]: (theorem(or(or(X0,not(X1)),X1)))),
% 0.03/0.38 inference(resolution,[status(thm)],[f1396,f98])).
% 0.03/0.38 fof(f1579,plain,(
% 0.03/0.38 ![X0,X1]: (theorem(or(X0,or(X1,not(X0)))))),
% 0.03/0.38 inference(resolution,[status(thm)],[f1544,f204])).
% 0.03/0.38 fof(f1591,plain,(
% 0.03/0.38 ![X0,X1]: (theorem(or(X0,or(X1,not(X1)))))),
% 0.03/0.38 inference(resolution,[status(thm)],[f1579,f340])).
% 0.03/0.38 fof(f1621,plain,(
% 0.03/0.38 ![X0]: (theorem(or(X0,not(X0))))),
% 0.03/0.38 inference(resolution,[status(thm)],[f1591,f98])).
% 0.03/0.38 fof(f1638,plain,(
% 0.03/0.38 ![X0]: (theorem(implies(X0,X0)))),
% 0.03/0.38 inference(resolution,[status(thm)],[f1621,f643])).
% 0.03/0.38 fof(f1651,plain,(
% 0.03/0.38 ![X0]: (theorem(equivalent(X0,X0)))),
% 0.03/0.38 inference(backward_subsumption_resolution,[status(thm)],[f511,f1638])).
% 0.03/0.38 fof(f1665,plain,(
% 0.03/0.38 $false),
% 0.03/0.38 inference(backward_subsumption_resolution,[status(thm)],[f24,f1651])).
% 0.03/0.38 % SZS output end CNFRefutation for theBenchmark.p
% 0.03/0.39 % Elapsed time: 0.092834 seconds
% 0.03/0.39 % CPU time: 0.549269 seconds
% 0.03/0.39 % Total memory used: 83.625 MB
% 0.03/0.39 % Net memory used: 82.982 MB
%------------------------------------------------------------------------------