%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : REL031-2 : 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 : n002.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 02:03:41 PM UTC 2026
% Result : Unsatisfiable 228.26s 29.33s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : REL031-2 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.37 % Computer : n002.cluster.edu
% 0.09/0.37 % Model : x86_64 x86_64
% 0.09/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.37 % Memory : 8046.5625MB
% 0.09/0.37 % OS : Linux 6.8.0-71-generic
% 0.09/0.37 % CPULimit : 300
% 0.09/0.37 % WCLimit : 300
% 0.09/0.37 % DateTime : Mon Sep 21 04:06:46 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.38 % Drodi V4.1.1
% 228.26/29.33 % Refutation found
% 228.26/29.33 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 228.26/29.33 % SZS output start CNFRefutation for theBenchmark
% 228.26/29.33 fof(f1,axiom,(
% 228.26/29.33 (![A,B]: (join(A,B) = join(B,A) ))),
% 228.26/29.33 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 228.26/29.33 fof(f2,axiom,(
% 228.26/29.33 (![A,B,C]: (join(A,join(B,C)) = join(join(A,B),C) ))),
% 228.26/29.33 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 228.26/29.33 fof(f5,axiom,(
% 228.26/29.33 (![A,B,C]: (composition(A,composition(B,C)) = composition(composition(A,B),C) ))),
% 228.26/29.33 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 228.26/29.33 fof(f6,axiom,(
% 228.26/29.33 (![A]: (composition(A,one) = A ))),
% 228.26/29.33 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 228.26/29.33 fof(f7,axiom,(
% 228.26/29.33 (![A,B,C]: (composition(join(A,B),C) = join(composition(A,C),composition(B,C)) ))),
% 228.26/29.33 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 228.26/29.33 fof(f8,axiom,(
% 228.26/29.33 (![A]: (converse(converse(A)) = A ))),
% 228.26/29.33 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 228.26/29.33 fof(f9,axiom,(
% 228.26/29.33 (![A,B]: (converse(join(A,B)) = join(converse(A),converse(B)) ))),
% 228.26/29.33 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 228.26/29.33 fof(f10,axiom,(
% 228.26/29.33 (![A,B]: (converse(composition(A,B)) = composition(converse(B),converse(A)) ))),
% 228.26/29.33 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 228.26/29.33 fof(f17,negated_conjecture,(
% 228.26/29.33 join(composition(converse(sk1),sk1),one) = one ),
% 228.26/29.33 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 228.26/29.33 fof(f18,negated_conjecture,(
% 228.26/29.33 join(composition(converse(sk2),sk2),one) = one ),
% 228.26/29.33 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 228.26/29.33 fof(f19,negated_conjecture,(
% 228.26/29.33 join(composition(converse(composition(sk1,sk2)),composition(sk1,sk2)),one) != one ),
% 228.26/29.33 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 228.26/29.33 fof(f20,plain,(
% 228.26/29.33 ![X0,X1]: (join(X0,X1)=join(X1,X0))),
% 228.26/29.33 inference(cnf_transformation,[status(thm)],[f1])).
% 228.26/29.33 fof(f21,plain,(
% 228.26/29.33 ![X0,X1,X2]: (join(X0,join(X1,X2))=join(join(X0,X1),X2))),
% 228.26/29.33 inference(cnf_transformation,[status(thm)],[f2])).
% 228.26/29.33 fof(f24,plain,(
% 228.26/29.33 ![X0,X1,X2]: (composition(X0,composition(X1,X2))=composition(composition(X0,X1),X2))),
% 228.26/29.33 inference(cnf_transformation,[status(thm)],[f5])).
% 228.26/29.33 fof(f25,plain,(
% 228.26/29.33 ![X0]: (composition(X0,one)=X0)),
% 228.26/29.33 inference(cnf_transformation,[status(thm)],[f6])).
% 228.26/29.33 fof(f26,plain,(
% 228.26/29.33 ![X0,X1,X2]: (composition(join(X0,X1),X2)=join(composition(X0,X2),composition(X1,X2)))),
% 228.26/29.33 inference(cnf_transformation,[status(thm)],[f7])).
% 228.26/29.33 fof(f27,plain,(
% 228.26/29.33 ![X0]: (converse(converse(X0))=X0)),
% 228.26/29.33 inference(cnf_transformation,[status(thm)],[f8])).
% 228.26/29.33 fof(f28,plain,(
% 228.26/29.33 ![X0,X1]: (converse(join(X0,X1))=join(converse(X0),converse(X1)))),
% 228.26/29.33 inference(cnf_transformation,[status(thm)],[f9])).
% 228.26/29.33 fof(f29,plain,(
% 228.26/29.33 ![X0,X1]: (converse(composition(X0,X1))=composition(converse(X1),converse(X0)))),
% 228.26/29.33 inference(cnf_transformation,[status(thm)],[f10])).
% 228.26/29.33 fof(f36,plain,(
% 228.26/29.33 join(composition(converse(sk1),sk1),one)=one),
% 228.26/29.33 inference(cnf_transformation,[status(thm)],[f17])).
% 228.26/29.33 fof(f37,plain,(
% 228.26/29.33 join(composition(converse(sk2),sk2),one)=one),
% 228.26/29.33 inference(cnf_transformation,[status(thm)],[f18])).
% 228.26/29.33 fof(f38,plain,(
% 228.26/29.33 ~join(composition(converse(composition(sk1,sk2)),composition(sk1,sk2)),one)=one),
% 228.26/29.33 inference(cnf_transformation,[status(thm)],[f19])).
% 228.26/29.33 fof(f47,plain,(
% 228.26/29.33 join(one,composition(converse(sk1),sk1))=one),
% 228.26/29.33 inference(forward_demodulation,[status(thm)],[f20,f36])).
% 228.26/29.33 fof(f48,plain,(
% 228.26/29.33 join(one,composition(converse(sk2),sk2))=one),
% 228.26/29.33 inference(forward_demodulation,[status(thm)],[f20,f37])).
% 228.26/29.33 fof(f49,plain,(
% 228.26/29.33 ~join(one,composition(converse(composition(sk1,sk2)),composition(sk1,sk2)))=one),
% 228.26/29.33 inference(forward_demodulation,[status(thm)],[f20,f38])).
% 228.26/29.33 fof(f59,plain,(
% 228.26/29.33 ![X0]: (join(one,join(composition(converse(sk2),sk2),X0))=join(one,X0))),
% 228.26/29.33 inference(paramodulation,[status(thm)],[f48,f21])).
% 228.26/29.33 fof(f67,plain,(
% 228.26/29.33 ![X0,X1]: (converse(composition(X0,converse(X1)))=composition(X1,converse(X0)))),
% 228.26/29.33 inference(paramodulation,[status(thm)],[f27,f29])).
% 228.26/29.33 fof(f68,plain,(
% 228.26/29.33 ![X0,X1]: (converse(composition(converse(X0),X1))=composition(converse(X1),X0))),
% 228.26/29.33 inference(paramodulation,[status(thm)],[f27,f29])).
% 228.26/29.33 fof(f71,plain,(
% 228.26/29.33 ![X0,X1,X2]: (composition(converse(X0),composition(converse(X1),X2))=composition(converse(composition(X1,X0)),X2))),
% 228.26/29.33 inference(paramodulation,[status(thm)],[f29,f24])).
% 228.26/29.33 fof(f72,plain,(
% 228.26/29.33 ![X0,X1]: (composition(X0,composition(one,X1))=composition(X0,X1))),
% 228.26/29.33 inference(paramodulation,[status(thm)],[f25,f24])).
% 228.26/29.33 fof(f98,plain,(
% 228.26/29.33 ![X0,X1]: (converse(join(X0,X1))=join(converse(X1),converse(X0)))),
% 228.26/29.33 inference(paramodulation,[status(thm)],[f20,f28])).
% 228.26/29.33 fof(f101,plain,(
% 228.26/29.33 ![X0,X1]: (converse(join(converse(X0),X1))=join(X0,converse(X1)))),
% 228.26/29.33 inference(paramodulation,[status(thm)],[f27,f28])).
% 228.26/29.33 fof(f113,plain,(
% 228.26/29.33 ![X0,X1]: (converse(join(converse(X0),X1))=join(converse(X1),X0))),
% 228.26/29.33 inference(paramodulation,[status(thm)],[f27,f98])).
% 228.26/29.33 fof(f172,plain,(
% 228.26/29.33 ![X0]: (converse(converse(X0))=composition(converse(one),X0))),
% 228.26/29.33 inference(paramodulation,[status(thm)],[f25,f68])).
% 228.26/29.33 fof(f190,plain,(
% 228.26/29.33 ![X0]: (X0=composition(converse(one),X0))),
% 228.26/29.33 inference(forward_demodulation,[status(thm)],[f27,f172])).
% 228.26/29.33 fof(f200,plain,(
% 228.26/29.33 ![X0]: (composition(one,X0)=composition(converse(one),X0))),
% 228.26/29.33 inference(paramodulation,[status(thm)],[f72,f190])).
% 228.26/29.33 fof(f201,plain,(
% 228.26/29.33 one=converse(one)),
% 228.26/29.33 inference(paramodulation,[status(thm)],[f25,f190])).
% 228.26/29.33 fof(f210,plain,(
% 228.26/29.33 ![X0]: (composition(one,X0)=X0)),
% 228.26/29.33 inference(forward_demodulation,[status(thm)],[f190,f200])).
% 228.26/29.33 fof(f223,plain,(
% 228.26/29.33 ![X0]: (converse(join(one,X0))=join(one,converse(X0)))),
% 228.26/29.33 inference(paramodulation,[status(thm)],[f201,f101])).
% 228.26/29.33 fof(f240,plain,(
% 228.26/29.33 ![X0,X1]: (composition(join(one,X0),X1)=join(X1,composition(X0,X1)))),
% 228.26/29.33 inference(paramodulation,[status(thm)],[f210,f26])).
% 228.26/29.33 fof(f882,plain,(
% 228.26/29.33 ![X0]: (join(one,composition(join(converse(sk2),X0),sk2))=join(one,composition(X0,sk2)))),
% 228.26/29.33 inference(paramodulation,[status(thm)],[f26,f59])).
% 228.26/29.33 fof(f6817,plain,(
% 228.26/29.33 ![X0,X1]: (converse(composition(join(one,X0),converse(X1)))=join(converse(composition(X0,converse(X1))),X1))),
% 228.26/29.33 inference(paramodulation,[status(thm)],[f240,f113])).
% 228.26/29.33 fof(f6894,plain,(
% 228.26/29.33 ![X0,X1]: (composition(X0,converse(join(one,X1)))=join(converse(composition(X1,converse(X0))),X0))),
% 228.26/29.33 inference(forward_demodulation,[status(thm)],[f67,f6817])).
% 228.26/29.33 fof(f6895,plain,(
% 228.26/29.33 ![X0,X1]: (composition(X0,join(one,converse(X1)))=join(converse(composition(X1,converse(X0))),X0))),
% 228.26/29.33 inference(forward_demodulation,[status(thm)],[f223,f6894])).
% 228.26/29.33 fof(f6896,plain,(
% 228.26/29.33 ![X0,X1]: (composition(X0,join(one,converse(X1)))=join(X0,converse(composition(X1,converse(X0)))))),
% 228.26/29.33 inference(forward_demodulation,[status(thm)],[f20,f6895])).
% 228.26/29.33 fof(f6897,plain,(
% 228.26/29.33 ![X0,X1]: (composition(X0,join(one,converse(X1)))=join(X0,composition(X0,converse(X1))))),
% 228.26/29.33 inference(forward_demodulation,[status(thm)],[f67,f6896])).
% 228.26/29.33 fof(f57484,plain,(
% 228.26/29.33 ![X0,X1]: (composition(X0,join(one,X1))=join(X0,composition(X0,converse(converse(X1)))))),
% 228.26/29.33 inference(paramodulation,[status(thm)],[f27,f6897])).
% 228.26/29.33 fof(f57706,plain,(
% 228.26/29.33 ![X0,X1]: (composition(X0,join(one,X1))=join(X0,composition(X0,X1)))),
% 228.26/29.33 inference(forward_demodulation,[status(thm)],[f27,f57484])).
% 228.26/29.33 fof(f58486,plain,(
% 228.26/29.33 ![X0]: (composition(X0,one)=join(X0,composition(X0,composition(converse(sk1),sk1))))),
% 228.26/29.33 inference(paramodulation,[status(thm)],[f47,f57706])).
% 228.26/29.33 fof(f58729,plain,(
% 228.26/29.33 ![X0]: (X0=join(X0,composition(X0,composition(converse(sk1),sk1))))),
% 228.26/29.33 inference(forward_demodulation,[status(thm)],[f25,f58486])).
% 228.26/29.33 fof(f62071,plain,(
% 228.26/29.33 join(one,composition(converse(sk2),sk2))=join(one,composition(composition(converse(sk2),composition(converse(sk1),sk1)),sk2))),
% 228.26/29.33 inference(paramodulation,[status(thm)],[f58729,f882])).
% 228.26/29.33 fof(f62236,plain,(
% 228.26/29.33 one=join(one,composition(composition(converse(sk2),composition(converse(sk1),sk1)),sk2))),
% 228.26/29.33 inference(forward_demodulation,[status(thm)],[f48,f62071])).
% 228.26/29.33 fof(f62237,plain,(
% 228.26/29.33 one=join(one,composition(converse(sk2),composition(composition(converse(sk1),sk1),sk2)))),
% 228.26/29.33 inference(forward_demodulation,[status(thm)],[f24,f62236])).
% 228.26/29.33 fof(f62238,plain,(
% 228.26/29.33 one=join(one,composition(converse(sk2),composition(converse(sk1),composition(sk1,sk2))))),
% 228.26/29.33 inference(forward_demodulation,[status(thm)],[f24,f62237])).
% 228.26/29.33 fof(f62239,plain,(
% 228.26/29.33 one=join(one,composition(converse(composition(sk1,sk2)),composition(sk1,sk2)))),
% 188.39/29.63 inference(forward_demodulation,[status(thm)],[f71,f62238])).
% 188.39/29.63 fof(f62240,plain,(
% 188.39/29.63 $false),
% 188.39/29.63 inference(forward_subsumption_resolution,[status(thm)],[f62239,f49])).
% 188.39/29.63 % SZS output end CNFRefutation for theBenchmark.p
% 20.03/29.82 % Elapsed time: 29.422666 seconds
% 20.03/29.82 % CPU time: 232.279009 seconds
% 20.03/29.82 % Total memory used: 1.228 GB
% 20.03/29.82 % Net memory used: 1.210 GB
%------------------------------------------------------------------------------