%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : LCL235-3 : 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 : n010.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 01:09:41 PM UTC 2026
% Result : Unsatisfiable 15.05s 2.34s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL235-3 : TPTP v9.3.1. Released v2.3.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.36 % Computer : n010.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Mon Sep 21 00:13:24 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.38 % Drodi V4.1.1
% 15.05/2.34 % Refutation found
% 15.05/2.34 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 15.05/2.34 % SZS output start CNFRefutation for theBenchmark
% 15.05/2.34 fof(f1,axiom,(
% 15.05/2.34 (![A]: (axiom(implies(or(A,A),A)) ))),
% 15.05/2.34 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 15.05/2.34 fof(f2,axiom,(
% 15.05/2.34 (![A,B]: (axiom(implies(A,or(B,A))) ))),
% 15.05/2.34 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 15.05/2.34 fof(f3,axiom,(
% 15.05/2.34 (![A,B]: (axiom(implies(or(A,B),or(B,A))) ))),
% 15.05/2.34 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 15.05/2.34 fof(f4,axiom,(
% 15.05/2.34 (![A,B,C]: (axiom(implies(or(A,or(B,C)),or(B,or(A,C)))) ))),
% 15.05/2.34 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 15.05/2.34 fof(f5,axiom,(
% 15.05/2.34 (![A,B,C]: (axiom(implies(implies(A,B),implies(or(C,A),or(C,B)))) ))),
% 15.05/2.34 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 15.05/2.34 fof(f6,axiom,(
% 15.05/2.34 (![X,Y]: (implies(X,Y) = or(not(X),Y) ))),
% 15.05/2.34 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 15.05/2.34 fof(f7,axiom,(
% 15.05/2.34 (![X]: (( theorem(X)| ~ axiom(X) ) ))),
% 15.05/2.34 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 15.05/2.34 fof(f8,axiom,(
% 15.05/2.34 (![X,Y]: (( theorem(X)| ~ theorem(implies(Y,X))| ~ theorem(Y) ) ))),
% 15.05/2.34 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 15.05/2.34 fof(f9,axiom,(
% 15.05/2.34 (![P,Q]: (and(P,Q) = not(or(not(P),not(Q))) ))),
% 15.05/2.34 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 15.05/2.34 fof(f10,negated_conjecture,(
% 15.05/2.34 ~ theorem(implies(not(and(p,q)),or(not(p),not(q)))) ),
% 15.05/2.34 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 15.05/2.34 fof(f11,plain,(
% 15.05/2.34 ![X0]: (axiom(implies(or(X0,X0),X0)))),
% 15.05/2.34 inference(cnf_transformation,[status(thm)],[f1])).
% 15.05/2.34 fof(f12,plain,(
% 15.05/2.34 ![X0,X1]: (axiom(implies(X0,or(X1,X0))))),
% 15.05/2.34 inference(cnf_transformation,[status(thm)],[f2])).
% 15.05/2.34 fof(f13,plain,(
% 15.05/2.34 ![X0,X1]: (axiom(implies(or(X0,X1),or(X1,X0))))),
% 15.05/2.34 inference(cnf_transformation,[status(thm)],[f3])).
% 15.05/2.34 fof(f14,plain,(
% 15.05/2.34 ![X0,X1,X2]: (axiom(implies(or(X0,or(X1,X2)),or(X1,or(X0,X2)))))),
% 15.05/2.34 inference(cnf_transformation,[status(thm)],[f4])).
% 15.05/2.34 fof(f15,plain,(
% 15.05/2.34 ![X0,X1,X2]: (axiom(implies(implies(X0,X1),implies(or(X2,X0),or(X2,X1)))))),
% 15.05/2.34 inference(cnf_transformation,[status(thm)],[f5])).
% 15.05/2.34 fof(f16,plain,(
% 15.05/2.34 ![X0,X1]: (implies(X0,X1)=or(not(X0),X1))),
% 15.05/2.34 inference(cnf_transformation,[status(thm)],[f6])).
% 15.05/2.34 fof(f17,plain,(
% 15.05/2.34 ![X0]: (theorem(X0)|~axiom(X0))),
% 15.05/2.34 inference(cnf_transformation,[status(thm)],[f7])).
% 15.05/2.34 fof(f18,plain,(
% 15.05/2.34 ![Y]: ((![X]: (theorem(X)|~theorem(implies(Y,X))))|~theorem(Y))),
% 15.05/2.34 inference(miniscoping,[status(thm)],[f8])).
% 15.05/2.34 fof(f19,plain,(
% 15.05/2.34 ![X0,X1]: (theorem(X0)|~theorem(implies(X1,X0))|~theorem(X1))),
% 15.05/2.34 inference(cnf_transformation,[status(thm)],[f18])).
% 15.05/2.34 fof(f20,plain,(
% 15.05/2.34 ![X0,X1]: (and(X0,X1)=not(or(not(X0),not(X1))))),
% 15.05/2.34 inference(cnf_transformation,[status(thm)],[f9])).
% 15.05/2.34 fof(f21,plain,(
% 15.05/2.34 ~theorem(implies(not(and(p,q)),or(not(p),not(q))))),
% 15.05/2.34 inference(cnf_transformation,[status(thm)],[f10])).
% 15.05/2.34 fof(f22,plain,(
% 15.05/2.34 ~theorem(implies(not(and(p,q)),implies(p,not(q))))),
% 15.05/2.34 inference(backward_demodulation,[status(thm)],[f16,f21])).
% 15.05/2.34 fof(f23,plain,(
% 15.05/2.34 ![X0,X1]: (and(X0,X1)=not(implies(X0,not(X1))))),
% 15.05/2.34 inference(forward_demodulation,[status(thm)],[f16,f20])).
% 15.05/2.34 fof(f25,plain,(
% 15.05/2.34 ![X0,X1,X2]: (implies(implies(X0,not(X1)),X2)=or(and(X0,X1),X2))),
% 15.05/2.34 inference(paramodulation,[status(thm)],[f23,f16])).
% 15.05/2.34 fof(f26,plain,(
% 15.05/2.34 ![X0]: (theorem(implies(or(X0,X0),X0)))),
% 15.05/2.34 inference(resolution,[status(thm)],[f11,f17])).
% 15.05/2.34 fof(f28,plain,(
% 15.05/2.34 ![X0,X1]: (theorem(implies(X0,or(X1,X0))))),
% 15.05/2.34 inference(resolution,[status(thm)],[f12,f17])).
% 15.05/2.34 fof(f30,plain,(
% 15.05/2.34 ![X0]: (theorem(X0)|~theorem(or(X0,X0)))),
% 15.05/2.34 inference(resolution,[status(thm)],[f26,f19])).
% 15.05/2.34 fof(f32,plain,(
% 15.05/2.34 ![X0,X1]: (theorem(implies(or(X0,X1),or(X1,X0))))),
% 15.05/2.34 inference(resolution,[status(thm)],[f13,f17])).
% 15.05/2.34 fof(f35,plain,(
% 15.05/2.34 ![X0,X1,X2]: (theorem(implies(or(X0,or(X1,X2)),or(X1,or(X0,X2)))))),
% 15.05/2.34 inference(resolution,[status(thm)],[f14,f17])).
% 15.05/2.34 fof(f44,plain,(
% 15.05/2.34 ![X0,X1,X2]: (theorem(implies(implies(X0,X1),implies(or(X2,X0),or(X2,X1)))))),
% 15.05/2.34 inference(resolution,[status(thm)],[f15,f17])).
% 15.05/2.34 fof(f49,plain,(
% 15.05/2.34 ![X0,X1]: (theorem(or(X0,X1))|~theorem(X1))),
% 15.05/2.34 inference(resolution,[status(thm)],[f28,f19])).
% 15.05/2.34 fof(f62,plain,(
% 15.05/2.37 ![X0,X1,X2]: (theorem(or(and(X0,X1),or(X2,implies(X0,not(X1))))))),
% 15.05/2.37 inference(paramodulation,[status(thm)],[f25,f28])).
% 15.05/2.37 fof(f67,plain,(
% 15.05/2.37 ![X0,X1,X2]: (theorem(X0)|~theorem(or(and(X1,X2),X0))|~theorem(implies(X1,not(X2))))),
% 15.05/2.37 inference(paramodulation,[status(thm)],[f25,f19])).
% 15.05/2.37 fof(f77,plain,(
% 15.05/2.37 ![X0,X1]: (theorem(or(X0,X1))|~theorem(or(X1,X0)))),
% 15.05/2.37 inference(resolution,[status(thm)],[f32,f19])).
% 15.05/2.37 fof(f102,plain,(
% 15.05/2.37 ![X0,X1,X2]: (theorem(or(X0,or(X1,X2)))|~theorem(or(X1,or(X0,X2))))),
% 15.05/2.37 inference(resolution,[status(thm)],[f35,f19])).
% 15.05/2.37 fof(f123,plain,(
% 15.05/2.37 ![X0,X1]: (theorem(implies(X0,X1))|~theorem(or(X1,not(X0))))),
% 15.05/2.37 inference(paramodulation,[status(thm)],[f16,f77])).
% 15.05/2.37 fof(f144,plain,(
% 15.05/2.37 ![X0,X1,X2]: (theorem(or(and(X0,X1),implies(or(X2,X0),or(X2,not(X1))))))),
% 15.05/2.37 inference(paramodulation,[status(thm)],[f25,f44])).
% 15.05/2.37 fof(f372,plain,(
% 15.05/2.37 ![X0,X1]: (theorem(implies(X0,not(X1)))|~theorem(implies(X1,not(X0))))),
% 15.05/2.37 inference(paramodulation,[status(thm)],[f16,f123])).
% 15.05/2.37 fof(f687,plain,(
% 15.05/2.37 ![X0,X1]: (~theorem(or(X0,or(or(X0,X1),X1)))|theorem(or(X0,X1)))),
% 15.05/2.37 inference(resolution,[status(thm)],[f102,f30])).
% 15.05/2.37 fof(f1006,plain,(
% 15.05/2.37 ![X0,X1]: (theorem(or(and(X0,X1),implies(X0,not(X1)))))),
% 15.05/2.37 inference(resolution,[status(thm)],[f687,f62])).
% 15.05/2.37 fof(f1011,plain,(
% 15.05/2.37 ![X0,X1]: (theorem(or(X0,X1))|~theorem(or(or(X0,X1),X1)))),
% 15.05/2.37 inference(resolution,[status(thm)],[f687,f49])).
% 15.05/2.37 fof(f1066,plain,(
% 15.05/2.37 ![X0,X1]: (theorem(or(X0,X1))|~theorem(or(X1,or(X0,X1))))),
% 15.05/2.37 inference(resolution,[status(thm)],[f1011,f77])).
% 15.05/2.37 fof(f1110,plain,(
% 15.05/2.37 ![X0,X1]: (theorem(or(X0,X1))|~theorem(or(X0,or(X1,X1))))),
% 15.05/2.37 inference(resolution,[status(thm)],[f1066,f102])).
% 15.05/2.37 fof(f1198,plain,(
% 15.05/2.37 ![X0,X1]: (theorem(or(not(X0),X1))|~theorem(implies(X0,or(X1,X1))))),
% 15.05/2.37 inference(paramodulation,[status(thm)],[f16,f1110])).
% 15.05/2.37 fof(f1204,plain,(
% 15.05/2.37 ![X0,X1]: (theorem(implies(X0,X1))|~theorem(implies(X0,or(X1,X1))))),
% 15.05/2.37 inference(forward_demodulation,[status(thm)],[f16,f1198])).
% 15.05/2.37 fof(f1768,plain,(
% 15.05/2.37 ![X0]: (theorem(implies(X0,X0)))),
% 15.05/2.37 inference(resolution,[status(thm)],[f1204,f28])).
% 15.05/2.37 fof(f1784,plain,(
% 15.05/2.37 ![X0]: (theorem(implies(X0,not(not(X0)))))),
% 15.05/2.37 inference(resolution,[status(thm)],[f1768,f372])).
% 15.05/2.37 fof(f1791,plain,(
% 15.05/2.37 ![X0,X1]: (theorem(X0)|~theorem(or(and(X1,not(X1)),X0)))),
% 15.05/2.37 inference(resolution,[status(thm)],[f1784,f67])).
% 15.05/2.37 fof(f1997,plain,(
% 15.05/2.37 ![X0,X1]: (theorem(implies(or(X0,X1),or(X0,not(not(X1))))))),
% 15.05/2.37 inference(resolution,[status(thm)],[f1791,f144])).
% 15.05/2.37 fof(f6780,plain,(
% 15.05/2.37 ![X0,X1]: (theorem(or(X0,not(not(X1))))|~theorem(or(X0,X1)))),
% 15.05/2.37 inference(resolution,[status(thm)],[f1997,f19])).
% 15.05/2.37 fof(f9366,plain,(
% 15.05/2.37 ![X0,X1]: (~theorem(or(X0,X1))|theorem(implies(not(X1),X0)))),
% 15.05/2.37 inference(resolution,[status(thm)],[f6780,f123])).
% 15.05/2.37 fof(f9600,plain,(
% 15.05/2.37 ~theorem(or(implies(p,not(q)),and(p,q)))),
% 15.05/2.37 inference(resolution,[status(thm)],[f9366,f22])).
% 15.05/2.37 fof(f9631,plain,(
% 15.05/2.37 ~theorem(or(and(p,q),implies(p,not(q))))),
% 15.05/2.37 inference(resolution,[status(thm)],[f9600,f77])).
% 15.05/2.37 fof(f9633,plain,(
% 15.05/2.37 $false),
% 15.05/2.37 inference(forward_subsumption_resolution,[status(thm)],[f9631,f1006])).
% 15.05/2.37 % SZS output end CNFRefutation for theBenchmark.p
% 15.05/2.41 % Elapsed time: 2.026321 seconds
% 15.05/2.41 % CPU time: 15.563229 seconds
% 15.05/2.41 % Total memory used: 261.231 MB
% 15.05/2.41 % Net memory used: 257.600 MB
%------------------------------------------------------------------------------