%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : REL023-1 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n008.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 02:03:37 PM UTC 2026
% Result : Unsatisfiable 0.12s 0.44s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : REL023-1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.35 % Computer : n008.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Mon Sep 21 04:02:25 UTC 2026
% 0.09/0.35 % CPUTime :
% 0.12/0.36 % Drodi V4.1.1
% 0.12/0.44 % Refutation found
% 0.12/0.44 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.12/0.44 % SZS output start CNFRefutation for theBenchmark
% 0.12/0.44 fof(f1,axiom,(
% 0.12/0.44 (![A,B]: (join(A,B) = join(B,A) ))),
% 0.12/0.44 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.44 fof(f2,axiom,(
% 0.12/0.44 (![A,B,C]: (join(A,join(B,C)) = join(join(A,B),C) ))),
% 0.12/0.44 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.44 fof(f3,axiom,(
% 0.12/0.44 (![A,B]: (A = join(complement(join(complement(A),complement(B))),complement(join(complement(A),B))) ))),
% 0.12/0.44 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.44 fof(f4,axiom,(
% 0.12/0.44 (![A,B]: (meet(A,B) = complement(join(complement(A),complement(B))) ))),
% 0.12/0.44 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.44 fof(f6,axiom,(
% 0.12/0.44 (![A]: (composition(A,one) = A ))),
% 0.12/0.44 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.44 fof(f7,axiom,(
% 0.12/0.44 (![A,B,C]: (composition(join(A,B),C) = join(composition(A,C),composition(B,C)) ))),
% 0.12/0.44 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.44 fof(f8,axiom,(
% 0.12/0.44 (![A]: (converse(converse(A)) = A ))),
% 0.12/0.44 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.44 fof(f10,axiom,(
% 0.12/0.44 (![A,B]: (converse(composition(A,B)) = composition(converse(B),converse(A)) ))),
% 0.12/0.44 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.44 fof(f11,axiom,(
% 0.12/0.44 (![A,B]: (join(composition(converse(A),complement(composition(A,B))),complement(B)) = complement(B) ))),
% 0.12/0.44 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.44 fof(f12,axiom,(
% 0.12/0.44 (![A]: (top = join(A,complement(A)) ))),
% 0.12/0.44 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.44 fof(f13,axiom,(
% 0.12/0.44 (![A]: (zero = meet(A,complement(A)) ))),
% 0.12/0.44 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.44 fof(f14,negated_conjecture,(
% 0.12/0.44 join(composition(meet(sk1,converse(sk2)),meet(sk2,sk3)),composition(sk1,meet(sk2,sk3))) != composition(sk1,meet(sk2,sk3)) ),
% 0.12/0.44 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.44 fof(f15,plain,(
% 0.12/0.44 ![X0,X1]: (join(X0,X1)=join(X1,X0))),
% 0.12/0.44 inference(cnf_transformation,[status(thm)],[f1])).
% 0.12/0.44 fof(f16,plain,(
% 0.12/0.44 ![X0,X1,X2]: (join(X0,join(X1,X2))=join(join(X0,X1),X2))),
% 0.12/0.44 inference(cnf_transformation,[status(thm)],[f2])).
% 0.12/0.44 fof(f17,plain,(
% 0.12/0.44 ![X0,X1]: (X0=join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))))),
% 0.12/0.44 inference(cnf_transformation,[status(thm)],[f3])).
% 0.12/0.44 fof(f18,plain,(
% 0.12/0.44 ![X0,X1]: (meet(X0,X1)=complement(join(complement(X0),complement(X1))))),
% 0.12/0.44 inference(cnf_transformation,[status(thm)],[f4])).
% 0.12/0.44 fof(f20,plain,(
% 0.12/0.44 ![X0]: (composition(X0,one)=X0)),
% 0.12/0.44 inference(cnf_transformation,[status(thm)],[f6])).
% 0.12/0.44 fof(f21,plain,(
% 0.12/0.44 ![X0,X1,X2]: (composition(join(X0,X1),X2)=join(composition(X0,X2),composition(X1,X2)))),
% 0.12/0.44 inference(cnf_transformation,[status(thm)],[f7])).
% 0.12/0.44 fof(f22,plain,(
% 0.12/0.44 ![X0]: (converse(converse(X0))=X0)),
% 0.12/0.44 inference(cnf_transformation,[status(thm)],[f8])).
% 0.12/0.44 fof(f24,plain,(
% 0.12/0.44 ![X0,X1]: (converse(composition(X0,X1))=composition(converse(X1),converse(X0)))),
% 0.12/0.44 inference(cnf_transformation,[status(thm)],[f10])).
% 0.12/0.44 fof(f25,plain,(
% 0.12/0.44 ![X0,X1]: (join(composition(converse(X0),complement(composition(X0,X1))),complement(X1))=complement(X1))),
% 0.12/0.44 inference(cnf_transformation,[status(thm)],[f11])).
% 0.12/0.44 fof(f26,plain,(
% 0.12/0.44 ![X0]: (top=join(X0,complement(X0)))),
% 0.12/0.44 inference(cnf_transformation,[status(thm)],[f12])).
% 0.12/0.44 fof(f27,plain,(
% 0.12/0.44 ![X0]: (zero=meet(X0,complement(X0)))),
% 0.12/0.44 inference(cnf_transformation,[status(thm)],[f13])).
% 0.12/0.44 fof(f28,plain,(
% 0.12/0.44 ~join(composition(meet(sk1,converse(sk2)),meet(sk2,sk3)),composition(sk1,meet(sk2,sk3)))=composition(sk1,meet(sk2,sk3))),
% 0.12/0.44 inference(cnf_transformation,[status(thm)],[f14])).
% 0.12/0.44 fof(f37,plain,(
% 0.12/0.44 ![X0,X1]: (X0=join(meet(X0,X1),complement(join(complement(X0),X1))))),
% 0.12/0.44 inference(backward_demodulation,[status(thm)],[f18,f17])).
% 0.12/0.44 fof(f38,plain,(
% 0.12/0.44 ~composition(join(meet(sk1,converse(sk2)),sk1),meet(sk2,sk3))=composition(sk1,meet(sk2,sk3))),
% 0.12/0.44 inference(forward_demodulation,[status(thm)],[f21,f28])).
% 0.12/0.44 fof(f49,plain,(
% 0.12/0.44 ![X0,X1]: (meet(X0,X1)=complement(join(complement(X1),complement(X0))))),
% 0.12/0.44 inference(paramodulation,[status(thm)],[f15,f18])).
% 0.12/0.44 fof(f53,plain,(
% 0.12/0.44 ![X0,X1,X2]: (join(X0,join(X1,X2))=join(X2,join(X0,X1)))),
% 0.12/0.44 inference(paramodulation,[status(thm)],[f15,f16])).
% 0.12/0.44 fof(f56,plain,(
% 0.12/0.44 ![X0,X1,X2]: (join(X0,join(X1,X2))=join(join(X1,X0),X2))),
% 0.12/0.44 inference(paramodulation,[status(thm)],[f15,f16])).
% 0.12/0.44 fof(f63,plain,(
% 0.12/0.44 ![X0,X1]: (converse(composition(converse(X0),X1))=composition(converse(X1),X0))),
% 0.12/0.44 inference(paramodulation,[status(thm)],[f22,f24])).
% 0.12/0.44 fof(f78,plain,(
% 0.12/0.44 ![X0,X1]: (meet(X0,X1)=meet(X1,X0))),
% 0.12/0.44 inference(paramodulation,[status(thm)],[f18,f49])).
% 0.12/0.44 fof(f285,plain,(
% 0.12/0.44 ![X0,X1]: (X0=join(meet(X0,complement(X1)),meet(X1,X0)))),
% 0.12/0.44 inference(paramodulation,[status(thm)],[f49,f37])).
% 0.12/0.44 fof(f286,plain,(
% 0.12/0.44 ![X0,X1]: (X0=join(meet(X0,complement(X1)),meet(X0,X1)))),
% 0.12/0.44 inference(paramodulation,[status(thm)],[f18,f37])).
% 0.12/0.44 fof(f331,plain,(
% 0.12/0.44 ![X0]: (converse(converse(X0))=composition(converse(one),X0))),
% 0.12/0.44 inference(paramodulation,[status(thm)],[f20,f63])).
% 0.12/0.44 fof(f337,plain,(
% 0.12/0.44 ![X0]: (X0=composition(converse(one),X0))),
% 0.12/0.44 inference(forward_demodulation,[status(thm)],[f22,f331])).
% 0.12/0.44 fof(f345,plain,(
% 0.12/0.44 one=converse(one)),
% 0.12/0.44 inference(paramodulation,[status(thm)],[f20,f337])).
% 0.12/0.44 fof(f346,plain,(
% 0.12/0.44 ![X0]: (join(complement(composition(one,X0)),complement(X0))=complement(X0))),
% 0.12/0.44 inference(paramodulation,[status(thm)],[f337,f25])).
% 0.12/0.44 fof(f355,plain,(
% 0.12/0.44 ![X0]: (X0=composition(one,X0))),
% 0.12/0.44 inference(backward_demodulation,[status(thm)],[f345,f337])).
% 0.12/0.44 fof(f362,plain,(
% 0.12/0.44 ![X0]: (join(complement(X0),complement(X0))=complement(X0))),
% 0.12/0.44 inference(backward_demodulation,[status(thm)],[f355,f346])).
% 0.12/0.44 fof(f404,plain,(
% 0.12/0.44 ![X0]: (meet(complement(X0),X0)=complement(top))),
% 0.12/0.44 inference(paramodulation,[status(thm)],[f26,f49])).
% 0.12/0.44 fof(f405,plain,(
% 0.12/0.44 ![X0]: (meet(X0,complement(X0))=complement(top))),
% 0.12/0.44 inference(paramodulation,[status(thm)],[f26,f18])).
% 0.12/0.44 fof(f406,plain,(
% 0.12/0.44 ![X0]: (X0=join(meet(X0,complement(complement(X0))),complement(top)))),
% 0.12/0.44 inference(paramodulation,[status(thm)],[f26,f37])).
% 0.12/0.44 fof(f411,plain,(
% 0.12/0.44 ![X0]: (meet(complement(X0),X0)=zero)),
% 0.12/0.44 inference(backward_demodulation,[status(thm)],[f412,f404])).
% 0.12/0.44 fof(f412,plain,(
% 0.12/0.44 zero=complement(top)),
% 0.12/0.44 inference(forward_demodulation,[status(thm)],[f27,f405])).
% 0.12/0.44 fof(f413,plain,(
% 0.12/0.44 ![X0]: (X0=join(meet(X0,complement(complement(X0))),zero))),
% 0.12/0.44 inference(forward_demodulation,[status(thm)],[f412,f406])).
% 0.12/0.44 fof(f446,plain,(
% 0.12/0.44 ![X0]: (meet(X0,X0)=complement(complement(X0)))),
% 0.12/0.44 inference(paramodulation,[status(thm)],[f362,f49])).
% 0.12/0.44 fof(f479,plain,(
% 0.12/0.44 ![X0]: (join(meet(X0,X0),complement(complement(X0)))=complement(complement(X0)))),
% 0.12/0.44 inference(paramodulation,[status(thm)],[f446,f362])).
% 0.12/0.44 fof(f480,plain,(
% 0.12/0.44 ![X0]: (meet(meet(X0,X0),complement(X0))=zero)),
% 0.12/0.44 inference(paramodulation,[status(thm)],[f446,f411])).
% 0.12/0.44 fof(f507,plain,(
% 0.12/0.44 ![X0]: (meet(X0,X0)=join(zero,complement(join(complement(meet(X0,X0)),complement(X0)))))),
% 0.12/0.44 inference(paramodulation,[status(thm)],[f480,f37])).
% 0.12/0.44 fof(f512,plain,(
% 0.12/0.44 ![X0]: (meet(X0,X0)=join(zero,meet(X0,meet(X0,X0))))),
% 0.12/0.44 inference(forward_demodulation,[status(thm)],[f49,f507])).
% 0.12/0.44 fof(f724,plain,(
% 0.12/0.44 ![X0]: (X0=join(zero,meet(X0,complement(complement(X0)))))),
% 0.12/0.44 inference(paramodulation,[status(thm)],[f15,f413])).
% 0.12/0.44 fof(f739,plain,(
% 0.12/0.44 ![X0]: (X0=join(zero,meet(X0,meet(X0,X0))))),
% 0.12/0.44 inference(paramodulation,[status(thm)],[f446,f724])).
% 0.12/0.44 fof(f750,plain,(
% 0.12/0.44 ![X0]: (meet(X0,X0)=X0)),
% 0.12/0.44 inference(backward_demodulation,[status(thm)],[f739,f512])).
% 0.12/0.44 fof(f753,plain,(
% 0.12/0.44 ![X0]: (X0=complement(complement(X0)))),
% 0.12/0.44 inference(backward_demodulation,[status(thm)],[f750,f446])).
% 0.12/0.44 fof(f772,plain,(
% 0.12/0.44 ![X0]: (join(X0,complement(complement(X0)))=complement(complement(X0)))),
% 0.12/0.44 inference(backward_demodulation,[status(thm)],[f750,f479])).
% 0.12/0.44 fof(f834,plain,(
% 0.12/0.44 ![X0]: (join(X0,X0)=complement(complement(X0)))),
% 0.12/0.44 inference(forward_demodulation,[status(thm)],[f753,f772])).
% 0.12/0.44 fof(f838,plain,(
% 0.12/0.44 ![X0]: (join(X0,X0)=X0)),
% 0.12/0.44 inference(forward_demodulation,[status(thm)],[f753,f834])).
% 0.12/0.44 fof(f1081,plain,(
% 0.12/0.44 ![X0,X1]: (join(X0,join(join(X1,X0),X1))=join(X1,X0))),
% 0.12/0.44 inference(paramodulation,[status(thm)],[f53,f838])).
% 0.12/0.44 fof(f1099,plain,(
% 0.12/0.44 ![X0,X1]: (join(X0,join(X0,join(X1,X1)))=join(X1,X0))),
% 0.12/0.45 inference(forward_demodulation,[status(thm)],[f56,f1081])).
% 0.12/0.45 fof(f1103,plain,(
% 0.12/0.45 ![X0,X1]: (join(X0,join(X0,X1))=join(X1,X0))),
% 0.12/0.45 inference(forward_demodulation,[status(thm)],[f838,f1099])).
% 0.12/0.45 fof(f1386,plain,(
% 0.12/0.45 ![X0,X1]: (X0=join(meet(complement(X1),X0),meet(X0,X1)))),
% 0.12/0.45 inference(paramodulation,[status(thm)],[f78,f286])).
% 0.12/0.45 fof(f1487,plain,(
% 0.12/0.45 ![X0,X1]: (X0=join(meet(X0,X1),meet(complement(X1),X0)))),
% 0.12/0.45 inference(paramodulation,[status(thm)],[f753,f285])).
% 0.12/0.45 fof(f1918,plain,(
% 0.12/0.45 ![X0,X1]: (join(meet(X0,X1),X0)=join(meet(complement(X1),X0),meet(X0,X1)))),
% 0.12/0.45 inference(paramodulation,[status(thm)],[f1487,f1103])).
% 0.12/0.45 fof(f1989,plain,(
% 0.12/0.45 ~composition(sk1,meet(sk2,sk3))=composition(sk1,meet(sk2,sk3))),
% 0.12/0.45 inference(backward_demodulation,[status(thm)],[f1995,f38])).
% 0.12/0.45 fof(f1995,plain,(
% 0.12/0.45 ![X0,X1]: (join(meet(X0,X1),X0)=X0)),
% 0.12/0.45 inference(forward_demodulation,[status(thm)],[f1386,f1918])).
% 0.12/0.45 fof(f2074,plain,(
% 0.12/0.45 $false),
% 0.12/0.45 inference(trivial_equality_resolution,[status(thm)],[f1989])).
% 0.12/0.45 % SZS output end CNFRefutation for theBenchmark.p
% 9.37/1.68 % Elapsed time: 1.096293 seconds
% 9.37/1.68 % CPU time: 0.370319 seconds
% 9.37/1.68 % Total memory used: 11.775 MB
% 9.37/1.68 % Net memory used: 11.634 MB
%------------------------------------------------------------------------------