%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : LCL201-3 : 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 : n013.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 01:09:34 PM UTC 2026
% Result : Unsatisfiable 39.69s 5.50s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LCL201-3 : TPTP v9.3.1. Released v2.3.0.
% 0.00/0.03 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n013.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Mon Sep 21 00:10:24 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.14/0.37 % Drodi V4.1.1
% 39.69/5.50 % Refutation found
% 39.69/5.50 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 39.69/5.50 % SZS output start CNFRefutation for theBenchmark
% 39.69/5.50 fof(f1,axiom,(
% 39.69/5.50 (![A]: (axiom(implies(or(A,A),A)) ))),
% 39.69/5.50 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 39.69/5.50 fof(f2,axiom,(
% 39.69/5.50 (![A,B]: (axiom(implies(A,or(B,A))) ))),
% 39.69/5.50 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 39.69/5.50 fof(f3,axiom,(
% 39.69/5.50 (![A,B]: (axiom(implies(or(A,B),or(B,A))) ))),
% 39.69/5.50 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 39.69/5.50 fof(f4,axiom,(
% 39.69/5.50 (![A,B,C]: (axiom(implies(or(A,or(B,C)),or(B,or(A,C)))) ))),
% 39.69/5.50 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 39.69/5.50 fof(f5,axiom,(
% 39.69/5.50 (![A,B,C]: (axiom(implies(implies(A,B),implies(or(C,A),or(C,B)))) ))),
% 39.69/5.50 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 39.69/5.50 fof(f6,axiom,(
% 39.69/5.50 (![X,Y]: (implies(X,Y) = or(not(X),Y) ))),
% 39.69/5.50 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 39.69/5.50 fof(f7,axiom,(
% 39.69/5.50 (![X]: (( theorem(X)| ~ axiom(X) ) ))),
% 39.69/5.50 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 39.69/5.50 fof(f8,axiom,(
% 39.69/5.50 (![X,Y]: (( theorem(X)| ~ theorem(implies(Y,X))| ~ theorem(Y) ) ))),
% 39.69/5.50 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 39.69/5.50 fof(f9,negated_conjecture,(
% 39.69/5.50 ~ theorem(implies(not(or(p,q)),or(not(p),q))) ),
% 39.69/5.50 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 39.69/5.50 fof(f10,plain,(
% 39.69/5.50 ![X0]: (axiom(implies(or(X0,X0),X0)))),
% 39.69/5.50 inference(cnf_transformation,[status(thm)],[f1])).
% 39.69/5.50 fof(f11,plain,(
% 39.69/5.50 ![X0,X1]: (axiom(implies(X0,or(X1,X0))))),
% 39.69/5.50 inference(cnf_transformation,[status(thm)],[f2])).
% 39.69/5.50 fof(f12,plain,(
% 39.69/5.50 ![X0,X1]: (axiom(implies(or(X0,X1),or(X1,X0))))),
% 39.69/5.50 inference(cnf_transformation,[status(thm)],[f3])).
% 39.69/5.50 fof(f13,plain,(
% 39.69/5.50 ![X0,X1,X2]: (axiom(implies(or(X0,or(X1,X2)),or(X1,or(X0,X2)))))),
% 39.69/5.50 inference(cnf_transformation,[status(thm)],[f4])).
% 39.69/5.50 fof(f14,plain,(
% 39.69/5.50 ![X0,X1,X2]: (axiom(implies(implies(X0,X1),implies(or(X2,X0),or(X2,X1)))))),
% 39.69/5.50 inference(cnf_transformation,[status(thm)],[f5])).
% 39.69/5.50 fof(f15,plain,(
% 39.69/5.50 ![X0,X1]: (implies(X0,X1)=or(not(X0),X1))),
% 39.69/5.50 inference(cnf_transformation,[status(thm)],[f6])).
% 39.69/5.50 fof(f16,plain,(
% 39.69/5.50 ![X0]: (theorem(X0)|~axiom(X0))),
% 39.69/5.50 inference(cnf_transformation,[status(thm)],[f7])).
% 39.69/5.50 fof(f17,plain,(
% 39.69/5.50 ![Y]: ((![X]: (theorem(X)|~theorem(implies(Y,X))))|~theorem(Y))),
% 39.69/5.50 inference(miniscoping,[status(thm)],[f8])).
% 39.69/5.50 fof(f18,plain,(
% 39.69/5.50 ![X0,X1]: (theorem(X0)|~theorem(implies(X1,X0))|~theorem(X1))),
% 39.69/5.50 inference(cnf_transformation,[status(thm)],[f17])).
% 39.69/5.50 fof(f19,plain,(
% 39.69/5.50 ~theorem(implies(not(or(p,q)),or(not(p),q)))),
% 39.69/5.50 inference(cnf_transformation,[status(thm)],[f9])).
% 39.69/5.50 fof(f20,plain,(
% 39.69/5.50 ~theorem(implies(not(or(p,q)),implies(p,q)))),
% 39.69/5.50 inference(backward_demodulation,[status(thm)],[f15,f19])).
% 39.69/5.50 fof(f21,plain,(
% 39.69/5.50 ![X0]: (theorem(implies(or(X0,X0),X0)))),
% 39.69/5.50 inference(resolution,[status(thm)],[f10,f16])).
% 39.69/5.50 fof(f23,plain,(
% 39.69/5.50 ![X0]: (theorem(X0)|~theorem(or(X0,X0)))),
% 39.69/5.50 inference(resolution,[status(thm)],[f21,f18])).
% 39.69/5.50 fof(f28,plain,(
% 39.69/5.50 ![X0,X1]: (theorem(implies(X0,or(X1,X0))))),
% 39.69/5.50 inference(resolution,[status(thm)],[f11,f16])).
% 39.69/5.50 fof(f30,plain,(
% 39.69/5.50 ![X0,X1]: (theorem(or(X0,X1))|~theorem(X1))),
% 39.69/5.50 inference(resolution,[status(thm)],[f28,f18])).
% 39.69/5.50 fof(f51,plain,(
% 39.69/5.50 ![X0,X1]: (theorem(implies(or(X0,X1),or(X1,X0))))),
% 39.69/5.50 inference(resolution,[status(thm)],[f12,f16])).
% 39.69/5.50 fof(f74,plain,(
% 39.69/5.50 ![X0,X1]: (theorem(or(X0,X1))|~theorem(or(X1,X0)))),
% 39.69/5.50 inference(resolution,[status(thm)],[f51,f18])).
% 39.69/5.50 fof(f78,plain,(
% 39.69/5.50 ![X0,X1]: (theorem(implies(or(X0,not(X1)),implies(X1,X0))))),
% 39.69/5.50 inference(paramodulation,[status(thm)],[f15,f51])).
% 39.69/5.50 fof(f83,plain,(
% 39.69/5.50 ![X0,X1]: (theorem(or(X0,not(X1)))|~theorem(implies(X1,X0)))),
% 39.69/5.50 inference(paramodulation,[status(thm)],[f15,f74])).
% 39.69/5.50 fof(f102,plain,(
% 39.69/5.50 ![X0,X1,X2]: (theorem(implies(or(X0,or(X1,X2)),or(X1,or(X0,X2)))))),
% 39.69/5.50 inference(resolution,[status(thm)],[f13,f16])).
% 39.69/5.50 fof(f111,plain,(
% 39.69/5.50 ![X0,X1,X2]: (theorem(implies(implies(X0,X1),implies(or(X2,X0),or(X2,X1)))))),
% 39.69/5.50 inference(resolution,[status(thm)],[f14,f16])).
% 39.69/5.50 fof(f116,plain,(
% 39.69/5.50 ![X0,X1,X2]: (theorem(or(X0,or(X1,X2)))|~theorem(or(X1,or(X0,X2))))),
% 39.69/5.50 inference(resolution,[status(thm)],[f102,f18])).
% 39.69/5.50 fof(f131,plain,(
% 39.69/5.50 ![X0,X1]: (theorem(implies(X0,X1))|~theorem(or(X1,not(X0))))),
% 39.69/5.50 inference(resolution,[status(thm)],[f78,f18])).
% 39.69/5.50 fof(f145,plain,(
% 39.69/5.50 ![X0,X1]: (theorem(or(or(X0,X1),not(X1))))),
% 39.69/5.50 inference(resolution,[status(thm)],[f83,f28])).
% 39.69/5.50 fof(f161,plain,(
% 39.69/5.50 ![X0,X1,X2]: (theorem(or(X0,or(or(X1,X2),not(X2)))))),
% 39.69/5.50 inference(resolution,[status(thm)],[f145,f30])).
% 39.69/5.50 fof(f202,plain,(
% 39.69/5.50 ![X0,X1]: (theorem(implies(X0,not(X1)))|~theorem(implies(X1,not(X0))))),
% 39.69/5.50 inference(paramodulation,[status(thm)],[f15,f131])).
% 39.69/5.50 fof(f363,plain,(
% 39.69/5.50 ![X0,X1,X2]: (theorem(implies(or(X0,X1),or(X0,X2)))|~theorem(implies(X1,X2)))),
% 39.69/5.50 inference(resolution,[status(thm)],[f111,f18])).
% 39.69/5.50 fof(f367,plain,(
% 39.69/5.50 ![X0,X1,X2]: (theorem(implies(implies(X0,X1),implies(implies(X2,X0),or(not(X2),X1)))))),
% 39.69/5.50 inference(paramodulation,[status(thm)],[f15,f111])).
% 39.69/5.50 fof(f369,plain,(
% 39.69/5.50 ![X0,X1,X2]: (theorem(implies(implies(X0,X1),implies(implies(X2,X0),implies(X2,X1)))))),
% 39.69/5.50 inference(forward_demodulation,[status(thm)],[f15,f367])).
% 39.69/5.50 fof(f524,plain,(
% 39.69/5.50 ![X0,X1,X2]: (theorem(or(or(X0,X1),or(X2,not(X1)))))),
% 39.69/5.50 inference(resolution,[status(thm)],[f116,f161])).
% 39.69/5.50 fof(f533,plain,(
% 39.69/5.50 ![X0,X1,X2]: (theorem(or(X0,or(not(X1),X2)))|~theorem(implies(X1,or(X0,X2))))),
% 39.69/5.50 inference(paramodulation,[status(thm)],[f15,f116])).
% 39.69/5.50 fof(f534,plain,(
% 39.69/5.50 ![X0,X1,X2]: (theorem(or(not(X0),or(X1,X2)))|~theorem(or(X1,implies(X0,X2))))),
% 39.69/5.50 inference(paramodulation,[status(thm)],[f15,f116])).
% 39.69/5.50 fof(f535,plain,(
% 39.69/5.50 ![X0,X1,X2]: (theorem(or(X0,implies(X1,X2)))|~theorem(implies(X1,or(X0,X2))))),
% 39.69/5.50 inference(forward_demodulation,[status(thm)],[f15,f533])).
% 39.69/5.50 fof(f536,plain,(
% 39.69/5.50 ![X0,X1,X2]: (theorem(implies(X0,or(X1,X2)))|~theorem(or(X1,implies(X0,X2))))),
% 39.69/5.50 inference(forward_demodulation,[status(thm)],[f15,f534])).
% 39.69/5.50 fof(f556,plain,(
% 39.69/5.50 ![X0,X1,X2]: (theorem(or(or(X0,not(X1)),or(X2,X1))))),
% 39.69/5.50 inference(resolution,[status(thm)],[f524,f74])).
% 39.69/5.50 fof(f578,plain,(
% 39.69/5.50 ![X0,X1,X2]: (theorem(or(X0,or(or(X1,not(X2)),X2))))),
% 39.69/5.50 inference(resolution,[status(thm)],[f556,f116])).
% 39.69/5.50 fof(f618,plain,(
% 39.69/5.50 ![X0,X1]: (theorem(or(or(X0,not(X1)),X1)))),
% 39.69/5.50 inference(resolution,[status(thm)],[f578,f23])).
% 39.69/5.50 fof(f626,plain,(
% 39.69/5.50 ![X0,X1]: (theorem(or(X0,or(X1,not(X0)))))),
% 39.69/5.50 inference(resolution,[status(thm)],[f618,f74])).
% 39.69/5.50 fof(f631,plain,(
% 39.69/5.50 ![X0,X1]: (theorem(or(X0,or(X1,not(X1)))))),
% 39.69/5.50 inference(resolution,[status(thm)],[f626,f116])).
% 39.69/5.50 fof(f646,plain,(
% 39.69/5.50 ![X0]: (theorem(or(X0,not(X0))))),
% 39.69/5.50 inference(resolution,[status(thm)],[f631,f23])).
% 39.69/5.50 fof(f652,plain,(
% 39.69/5.50 ![X0]: (theorem(implies(X0,X0)))),
% 39.69/5.50 inference(resolution,[status(thm)],[f646,f131])).
% 39.69/5.50 fof(f657,plain,(
% 39.69/5.50 ![X0]: (theorem(implies(X0,not(not(X0)))))),
% 39.69/5.50 inference(paramodulation,[status(thm)],[f15,f646])).
% 39.69/5.50 fof(f928,plain,(
% 39.69/5.50 ![X0,X1,X2]: (theorem(implies(or(X0,or(X1,not(X2))),or(X0,implies(X2,X1)))))),
% 39.69/5.50 inference(resolution,[status(thm)],[f363,f78])).
% 39.69/5.50 fof(f1242,plain,(
% 39.69/5.50 ![X0,X1,X2]: (theorem(implies(implies(X0,X1),implies(X0,X2)))|~theorem(implies(X1,X2)))),
% 39.69/5.50 inference(resolution,[status(thm)],[f369,f18])).
% 39.69/5.50 fof(f1648,plain,(
% 39.69/5.50 ![X0,X1]: (theorem(or(X0,implies(or(X0,X1),X1))))),
% 39.69/5.50 inference(resolution,[status(thm)],[f535,f652])).
% 39.69/5.50 fof(f1731,plain,(
% 39.69/5.50 ![X0,X1]: (theorem(implies(X0,implies(or(not(X0),X1),X1))))),
% 39.69/5.50 inference(paramodulation,[status(thm)],[f15,f1648])).
% 39.69/5.50 fof(f1733,plain,(
% 39.69/5.50 ![X0,X1]: (theorem(implies(X0,implies(implies(X0,X1),X1))))),
% 39.69/5.50 inference(forward_demodulation,[status(thm)],[f15,f1731])).
% 39.69/5.50 fof(f1795,plain,(
% 39.69/5.50 ![X0,X1]: (theorem(implies(implies(X0,X1),X1))|~theorem(X0))),
% 39.69/5.50 inference(resolution,[status(thm)],[f1733,f18])).
% 39.69/5.50 fof(f4063,plain,(
% 39.69/5.50 ![X0,X1,X2]: (theorem(or(X0,implies(X1,X2)))|~theorem(or(X0,or(X2,not(X1)))))),
% 39.69/5.50 inference(resolution,[status(thm)],[f928,f18])).
% 39.69/5.50 fof(f4682,plain,(
% 39.69/5.50 ![X0,X1]: (theorem(implies(implies(X0,X1),implies(X0,not(not(X1))))))),
% 39.69/5.50 inference(resolution,[status(thm)],[f1242,f657])).
% 39.69/5.50 fof(f40891,plain,(
% 39.69/5.50 ![X0,X1]: (theorem(or(X0,implies(X0,X1))))),
% 39.69/5.50 inference(resolution,[status(thm)],[f4063,f626])).
% 39.69/5.50 fof(f40904,plain,(
% 39.69/5.50 ![X0,X1]: (theorem(implies(X0,or(X0,X1))))),
% 39.69/5.50 inference(resolution,[status(thm)],[f40891,f536])).
% 39.69/5.50 fof(f40973,plain,(
% 39.69/5.50 ![X0,X1,X2]: (theorem(implies(implies(X0,X1),implies(X0,or(X1,X2)))))),
% 26.89/5.54 inference(resolution,[status(thm)],[f40904,f1242])).
% 26.89/5.54 fof(f41009,plain,(
% 26.89/5.54 ![X0,X1,X2]: (theorem(implies(implies(implies(X0,or(X0,X1)),X2),X2)))),
% 26.89/5.54 inference(resolution,[status(thm)],[f40904,f1795])).
% 26.89/5.54 fof(f57492,plain,(
% 26.89/5.54 ![X0,X1,X2]: (theorem(implies(X0,or(X1,X2)))|~theorem(implies(X0,X1)))),
% 26.89/5.54 inference(resolution,[status(thm)],[f40973,f18])).
% 26.89/5.54 fof(f57748,plain,(
% 26.89/5.54 ![X0,X1,X2]: (theorem(X0)|~theorem(implies(implies(X1,or(X1,X2)),X0)))),
% 26.89/5.54 inference(resolution,[status(thm)],[f41009,f18])).
% 26.89/5.54 fof(f77387,plain,(
% 26.89/5.54 ![X0,X1]: (theorem(implies(X0,not(not(or(X0,X1))))))),
% 26.89/5.54 inference(resolution,[status(thm)],[f57748,f4682])).
% 26.89/5.54 fof(f77631,plain,(
% 26.89/5.54 ![X0,X1]: (theorem(implies(not(or(X0,X1)),not(X0))))),
% 26.89/5.54 inference(resolution,[status(thm)],[f77387,f202])).
% 26.89/5.54 fof(f77690,plain,(
% 26.89/5.54 ![X0,X1,X2]: (theorem(implies(not(or(X0,X1)),or(not(X0),X2))))),
% 26.89/5.54 inference(resolution,[status(thm)],[f77631,f57492])).
% 26.89/5.54 fof(f77744,plain,(
% 26.89/5.54 ![X0,X1,X2]: (theorem(implies(not(or(X0,X1)),implies(X0,X2))))),
% 26.89/5.54 inference(forward_demodulation,[status(thm)],[f15,f77690])).
% 26.89/5.54 fof(f78977,plain,(
% 26.89/5.54 $false),
% 26.89/5.54 inference(backward_subsumption_resolution,[status(thm)],[f20,f77744])).
% 26.89/5.54 % SZS output end CNFRefutation for theBenchmark.p
% 26.89/5.57 % Elapsed time: 5.193541 seconds
% 26.89/5.57 % CPU time: 40.848295 seconds
% 26.89/5.57 % Total memory used: 377.242 MB
% 26.89/5.57 % Net memory used: 342.084 MB
%------------------------------------------------------------------------------