%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : REL046-1 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n009.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 02:03:45 PM UTC 2026
% Result : Unsatisfiable 0.10s 0.42s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : REL046-1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.36 % Computer : n009.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 04:08:57 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.38 % Drodi V4.1.1
% 0.10/0.42 % Refutation found
% 0.10/0.42 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.10/0.42 % SZS output start CNFRefutation for theBenchmark
% 0.10/0.42 fof(f1,axiom,(
% 0.10/0.42 (![A,B]: (join(A,B) = join(B,A) ))),
% 0.10/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.42 fof(f2,axiom,(
% 0.10/0.42 (![A,B,C]: (join(A,join(B,C)) = join(join(A,B),C) ))),
% 0.10/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.42 fof(f3,axiom,(
% 0.10/0.42 (![A,B]: (A = join(complement(join(complement(A),complement(B))),complement(join(complement(A),B))) ))),
% 0.10/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.42 fof(f4,axiom,(
% 0.10/0.42 (![A,B]: (meet(A,B) = complement(join(complement(A),complement(B))) ))),
% 0.10/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.42 fof(f14,negated_conjecture,(
% 0.10/0.42 join(sk1,meet(sk2,sk3)) = meet(sk2,sk3) ),
% 0.10/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.42 fof(f15,negated_conjecture,(
% 0.10/0.42 ( join(sk1,sk2) != sk2| join(sk1,sk3) != sk3 ) ),
% 0.10/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.42 fof(f16,plain,(
% 0.10/0.42 ![X0,X1]: (join(X0,X1)=join(X1,X0))),
% 0.10/0.42 inference(cnf_transformation,[status(thm)],[f1])).
% 0.10/0.42 fof(f17,plain,(
% 0.10/0.42 ![X0,X1,X2]: (join(X0,join(X1,X2))=join(join(X0,X1),X2))),
% 0.10/0.42 inference(cnf_transformation,[status(thm)],[f2])).
% 0.10/0.42 fof(f18,plain,(
% 0.10/0.42 ![X0,X1]: (X0=join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))))),
% 0.10/0.42 inference(cnf_transformation,[status(thm)],[f3])).
% 0.10/0.42 fof(f19,plain,(
% 0.10/0.42 ![X0,X1]: (meet(X0,X1)=complement(join(complement(X0),complement(X1))))),
% 0.10/0.42 inference(cnf_transformation,[status(thm)],[f4])).
% 0.10/0.42 fof(f29,plain,(
% 0.10/0.42 join(sk1,meet(sk2,sk3))=meet(sk2,sk3)),
% 0.10/0.42 inference(cnf_transformation,[status(thm)],[f14])).
% 0.10/0.42 fof(f30,plain,(
% 0.10/0.42 ~join(sk1,sk2)=sk2|~join(sk1,sk3)=sk3),
% 0.10/0.42 inference(cnf_transformation,[status(thm)],[f15])).
% 0.10/0.42 fof(f31,plain,(
% 0.10/0.42 ~join(sk1,sk2)=sk2|~join(sk3,sk1)=sk3),
% 0.10/0.42 inference(backward_demodulation,[status(thm)],[f16,f30])).
% 0.10/0.42 fof(f36,plain,(
% 0.10/0.42 ~join(sk2,sk1)=sk2|~join(sk3,sk1)=sk3),
% 0.10/0.42 inference(forward_demodulation,[status(thm)],[f16,f31])).
% 0.10/0.42 fof(f40,plain,(
% 0.10/0.42 ![X0]: (join(sk1,join(meet(sk2,sk3),X0))=join(meet(sk2,sk3),X0))),
% 0.10/0.42 inference(paramodulation,[status(thm)],[f29,f17])).
% 0.10/0.42 fof(f47,plain,(
% 0.10/0.42 ![X0,X1]: (meet(X0,X1)=complement(join(complement(X1),complement(X0))))),
% 0.10/0.42 inference(paramodulation,[status(thm)],[f16,f19])).
% 0.10/0.42 fof(f58,plain,(
% 0.10/0.42 ![X0,X1]: (X0=join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))))),
% 0.10/0.42 inference(forward_demodulation,[status(thm)],[f16,f18])).
% 0.10/0.42 fof(f59,plain,(
% 0.10/0.42 ![X0,X1]: (X0=join(complement(join(complement(X0),X1)),meet(X0,X1)))),
% 0.10/0.42 inference(forward_demodulation,[status(thm)],[f19,f58])).
% 0.10/0.42 fof(f60,plain,(
% 0.10/0.42 ![X0,X1]: (X0=join(meet(X0,X1),complement(join(complement(X0),X1))))),
% 0.10/0.42 inference(forward_demodulation,[status(thm)],[f16,f59])).
% 0.10/0.42 fof(f61,plain,(
% 0.10/0.42 ![X0,X1]: (X0=join(meet(X0,complement(X1)),meet(X0,X1)))),
% 0.10/0.42 inference(paramodulation,[status(thm)],[f19,f60])).
% 0.10/0.42 fof(f67,plain,(
% 0.10/0.42 ![X0,X1]: (X0=join(meet(X0,X1),meet(X0,complement(X1))))),
% 0.10/0.42 inference(forward_demodulation,[status(thm)],[f16,f61])).
% 0.10/0.42 fof(f87,plain,(
% 0.10/0.42 join(sk1,sk2)=join(meet(sk2,sk3),complement(join(complement(sk2),sk3)))),
% 0.10/0.42 inference(paramodulation,[status(thm)],[f60,f40])).
% 0.10/0.42 fof(f92,plain,(
% 0.10/0.42 join(sk2,sk1)=join(meet(sk2,sk3),complement(join(complement(sk2),sk3)))),
% 0.10/0.42 inference(forward_demodulation,[status(thm)],[f16,f87])).
% 0.10/0.42 fof(f93,plain,(
% 0.10/0.42 join(sk2,sk1)=sk2),
% 0.10/0.42 inference(forward_demodulation,[status(thm)],[f60,f92])).
% 0.10/0.42 fof(f97,plain,(
% 0.10/0.42 ~sk2=sk2|~join(sk3,sk1)=sk3),
% 0.10/0.42 inference(backward_demodulation,[status(thm)],[f93,f36])).
% 0.10/0.42 fof(f99,plain,(
% 0.10/0.42 ~join(sk3,sk1)=sk3),
% 0.10/0.42 inference(trivial_equality_resolution,[status(thm)],[f97])).
% 0.10/0.42 fof(f377,plain,(
% 0.10/0.42 ![X0,X1]: (meet(X0,X1)=meet(X1,X0))),
% 0.10/0.42 inference(paramodulation,[status(thm)],[f19,f47])).
% 0.10/0.42 fof(f432,plain,(
% 0.10/0.42 ![X0]: (join(sk1,join(meet(sk2,sk3),X0))=join(meet(sk3,sk2),X0))),
% 0.10/0.42 inference(backward_demodulation,[status(thm)],[f377,f40])).
% 0.10/0.42 fof(f445,plain,(
% 0.10/0.42 ![X0]: (join(sk1,join(meet(sk3,sk2),X0))=join(meet(sk3,sk2),X0))),
% 0.10/0.42 inference(forward_demodulation,[status(thm)],[f377,f432])).
% 0.10/0.42 fof(f685,plain,(
% 0.10/0.42 join(sk1,sk3)=join(meet(sk3,sk2),meet(sk3,complement(sk2)))),
% 0.10/0.42 inference(paramodulation,[status(thm)],[f67,f445])).
% 0.10/0.42 fof(f704,plain,(
% 0.10/0.42 join(sk3,sk1)=join(meet(sk3,sk2),meet(sk3,complement(sk2)))),
% 0.10/0.42 inference(forward_demodulation,[status(thm)],[f16,f685])).
% 0.10/0.42 fof(f705,plain,(
% 0.10/0.42 join(sk3,sk1)=sk3),
% 0.10/0.42 inference(forward_demodulation,[status(thm)],[f67,f704])).
% 0.10/0.42 fof(f706,plain,(
% 0.10/0.42 $false),
% 0.10/0.42 inference(forward_subsumption_resolution,[status(thm)],[f705,f99])).
% 0.10/0.42 % SZS output end CNFRefutation for theBenchmark.p
% 0.10/0.44 % Elapsed time: 0.070765 seconds
% 0.10/0.44 % CPU time: 0.281188 seconds
% 0.10/0.44 % Total memory used: 69.783 MB
% 0.10/0.44 % Net memory used: 69.424 MB
%------------------------------------------------------------------------------