%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : LCL261-3 : 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 : n003.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 01:09:45 PM UTC 2026
% Result : Unsatisfiable 115.56s 15.10s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL261-3 : TPTP v9.3.1. Released v2.3.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.36 % Computer : n003.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 00:18:16 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.37 % Drodi V4.1.1
% 115.56/15.10 % Refutation found
% 115.56/15.10 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 115.56/15.10 % SZS output start CNFRefutation for theBenchmark
% 115.56/15.10 fof(f3,axiom,(
% 115.56/15.10 (![A,B]: (axiom(implies(or(A,B),or(B,A))) ))),
% 115.56/15.10 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 115.56/15.10 fof(f4,axiom,(
% 115.56/15.10 (![A,B,C]: (axiom(implies(or(A,or(B,C)),or(B,or(A,C)))) ))),
% 115.56/15.10 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 115.56/15.10 fof(f5,axiom,(
% 115.56/15.10 (![A,B,C]: (axiom(implies(implies(A,B),implies(or(C,A),or(C,B)))) ))),
% 115.56/15.10 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 115.56/15.10 fof(f6,axiom,(
% 115.56/15.10 (![X,Y]: (implies(X,Y) = or(not(X),Y) ))),
% 115.56/15.10 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 115.56/15.10 fof(f7,axiom,(
% 115.56/15.10 (![X]: (( theorem(X)| ~ axiom(X) ) ))),
% 115.56/15.10 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 115.56/15.10 fof(f8,axiom,(
% 115.56/15.10 (![X,Y]: (( theorem(X)| ~ theorem(implies(Y,X))| ~ theorem(Y) ) ))),
% 115.56/15.10 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 115.56/15.10 fof(f9,axiom,(
% 115.56/15.10 (![P,Q]: (and(P,Q) = not(or(not(P),not(Q))) ))),
% 115.56/15.10 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 115.56/15.10 fof(f10,negated_conjecture,(
% 115.56/15.10 ~ theorem(or(not(p),or(not(q),and(p,q)))) ),
% 115.56/15.10 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 115.56/15.10 fof(f13,plain,(
% 115.56/15.10 ![X0,X1]: (axiom(implies(or(X0,X1),or(X1,X0))))),
% 115.56/15.10 inference(cnf_transformation,[status(thm)],[f3])).
% 115.56/15.10 fof(f14,plain,(
% 115.56/15.10 ![X0,X1,X2]: (axiom(implies(or(X0,or(X1,X2)),or(X1,or(X0,X2)))))),
% 115.56/15.10 inference(cnf_transformation,[status(thm)],[f4])).
% 115.56/15.10 fof(f15,plain,(
% 115.56/15.10 ![X0,X1,X2]: (axiom(implies(implies(X0,X1),implies(or(X2,X0),or(X2,X1)))))),
% 115.56/15.10 inference(cnf_transformation,[status(thm)],[f5])).
% 115.56/15.10 fof(f16,plain,(
% 115.56/15.10 ![X0,X1]: (implies(X0,X1)=or(not(X0),X1))),
% 115.56/15.10 inference(cnf_transformation,[status(thm)],[f6])).
% 115.56/15.10 fof(f17,plain,(
% 115.56/15.10 ![X0]: (theorem(X0)|~axiom(X0))),
% 115.56/15.10 inference(cnf_transformation,[status(thm)],[f7])).
% 115.56/15.10 fof(f18,plain,(
% 115.56/15.10 ![Y]: ((![X]: (theorem(X)|~theorem(implies(Y,X))))|~theorem(Y))),
% 115.56/15.10 inference(miniscoping,[status(thm)],[f8])).
% 115.56/15.10 fof(f19,plain,(
% 115.56/15.10 ![X0,X1]: (theorem(X0)|~theorem(implies(X1,X0))|~theorem(X1))),
% 115.56/15.10 inference(cnf_transformation,[status(thm)],[f18])).
% 115.56/15.10 fof(f20,plain,(
% 115.56/15.10 ![X0,X1]: (and(X0,X1)=not(or(not(X0),not(X1))))),
% 115.56/15.10 inference(cnf_transformation,[status(thm)],[f9])).
% 115.56/15.10 fof(f21,plain,(
% 115.56/15.10 ~theorem(or(not(p),or(not(q),and(p,q))))),
% 115.56/15.10 inference(cnf_transformation,[status(thm)],[f10])).
% 115.56/15.10 fof(f24,plain,(
% 115.56/15.10 ![X0,X1]: (theorem(implies(or(X0,X1),or(X1,X0))))),
% 115.56/15.10 inference(resolution,[status(thm)],[f13,f17])).
% 115.56/15.10 fof(f36,plain,(
% 115.56/15.10 ![X0,X1,X2]: (theorem(implies(or(X0,or(X1,X2)),or(X1,or(X0,X2)))))),
% 115.56/15.10 inference(resolution,[status(thm)],[f14,f17])).
% 115.56/15.10 fof(f54,plain,(
% 115.56/15.10 ![X0,X1]: (theorem(implies(implies(X0,X1),or(X1,not(X0)))))),
% 115.56/15.10 inference(paramodulation,[status(thm)],[f16,f24])).
% 115.56/15.10 fof(f74,plain,(
% 115.56/15.10 ![X0,X1,X2]: (theorem(implies(implies(X0,X1),implies(or(X2,X0),or(X2,X1)))))),
% 115.56/15.10 inference(resolution,[status(thm)],[f15,f17])).
% 115.56/15.10 fof(f95,plain,(
% 115.56/15.10 ![X0,X1]: (and(X0,X1)=not(implies(X0,not(X1))))),
% 115.56/15.10 inference(forward_demodulation,[status(thm)],[f16,f20])).
% 115.56/15.10 fof(f105,plain,(
% 115.56/15.10 ~theorem(implies(p,or(not(q),and(p,q))))),
% 115.56/15.10 inference(forward_demodulation,[status(thm)],[f16,f21])).
% 115.56/15.10 fof(f106,plain,(
% 115.56/15.10 ~theorem(implies(p,implies(q,and(p,q))))),
% 115.56/15.10 inference(forward_demodulation,[status(thm)],[f16,f105])).
% 115.56/15.10 fof(f182,plain,(
% 115.56/15.10 ![X0,X1,X2]: (theorem(or(X0,or(X1,X2)))|~theorem(or(X1,or(X0,X2))))),
% 115.56/15.10 inference(resolution,[status(thm)],[f36,f19])).
% 115.56/15.10 fof(f319,plain,(
% 115.56/15.10 ![X0,X1,X2]: (theorem(implies(or(X0,X1),or(X0,X2)))|~theorem(implies(X1,X2)))),
% 115.56/15.10 inference(resolution,[status(thm)],[f74,f19])).
% 115.56/15.10 fof(f947,plain,(
% 115.56/15.10 ![X0,X1,X2]: (theorem(or(X0,or(not(X1),X2)))|~theorem(implies(X1,or(X0,X2))))),
% 115.56/15.10 inference(paramodulation,[status(thm)],[f16,f182])).
% 115.56/15.10 fof(f949,plain,(
% 115.56/15.10 ![X0,X1,X2]: (theorem(or(X0,implies(X1,X2)))|~theorem(implies(X1,or(X0,X2))))),
% 115.56/15.10 inference(forward_demodulation,[status(thm)],[f16,f947])).
% 115.56/15.10 fof(f1714,plain,(
% 115.56/15.10 ![X0,X1,X2]: (theorem(implies(or(X0,implies(X1,X2)),or(X0,or(X2,not(X1))))))),
% 115.56/15.10 inference(resolution,[status(thm)],[f319,f54])).
% 115.56/15.10 fof(f6020,plain,(
% 115.56/15.10 ![X0,X1]: (theorem(or(X0,implies(implies(X1,X0),not(X1)))))),
% 115.56/15.10 inference(resolution,[status(thm)],[f949,f54])).
% 28.00/15.20 fof(f6045,plain,(
% 28.00/15.20 ![X0,X1,X2]: (theorem(or(not(X0),implies(X1,X2)))|~theorem(implies(X1,implies(X0,X2))))),
% 28.00/15.20 inference(paramodulation,[status(thm)],[f16,f949])).
% 28.00/15.20 fof(f6050,plain,(
% 28.00/15.20 ![X0,X1,X2]: (theorem(implies(X0,implies(X1,X2)))|~theorem(implies(X1,implies(X0,X2))))),
% 28.00/15.20 inference(forward_demodulation,[status(thm)],[f16,f6045])).
% 28.00/15.20 fof(f8491,plain,(
% 28.00/15.20 ![X0,X1,X2]: (theorem(or(X0,or(X1,not(X2))))|~theorem(or(X0,implies(X2,X1))))),
% 28.00/15.20 inference(resolution,[status(thm)],[f1714,f19])).
% 28.00/15.20 fof(f200438,plain,(
% 28.00/15.20 ![X0,X1]: (theorem(or(X0,or(not(X1),not(implies(X1,X0))))))),
% 28.00/15.20 inference(resolution,[status(thm)],[f8491,f6020])).
% 28.00/15.20 fof(f200583,plain,(
% 28.00/15.20 ![X0,X1]: (theorem(or(X0,implies(X1,not(implies(X1,X0))))))),
% 28.00/15.20 inference(forward_demodulation,[status(thm)],[f16,f200438])).
% 28.00/15.20 fof(f200949,plain,(
% 28.00/15.20 ![X0,X1]: (theorem(implies(X0,implies(X1,not(implies(X1,not(X0)))))))),
% 28.00/15.20 inference(paramodulation,[status(thm)],[f16,f200583])).
% 28.00/15.20 fof(f200988,plain,(
% 28.00/15.20 ![X0,X1]: (theorem(implies(X0,implies(X1,and(X1,X0)))))),
% 28.00/15.20 inference(forward_demodulation,[status(thm)],[f95,f200949])).
% 28.00/15.20 fof(f201013,plain,(
% 28.00/15.20 ![X0,X1]: (theorem(implies(X0,implies(X1,and(X0,X1)))))),
% 28.00/15.20 inference(resolution,[status(thm)],[f200988,f6050])).
% 28.00/15.20 fof(f201309,plain,(
% 28.00/15.20 $false),
% 28.00/15.20 inference(backward_subsumption_resolution,[status(thm)],[f106,f201013])).
% 28.00/15.20 % SZS output end CNFRefutation for theBenchmark.p
% 28.00/15.24 % Elapsed time: 14.859394 seconds
% 28.00/15.24 % CPU time: 117.050972 seconds
% 28.00/15.24 % Total memory used: 729.989 MB
% 28.00/15.24 % Net memory used: 702.199 MB
%------------------------------------------------------------------------------