%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : REL031-1 : 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 : n018.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 02:03:40 PM UTC 2026
% Result : Unsatisfiable 44.07s 6.09s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : REL031-1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.07 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.17/0.42 % Computer : n018.cluster.edu
% 0.17/0.42 % Model : x86_64 x86_64
% 0.17/0.42 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.42 % Memory : 8046.5625MB
% 0.17/0.42 % OS : Linux 6.8.0-71-generic
% 0.17/0.42 % CPULimit : 300
% 0.17/0.42 % WCLimit : 300
% 0.17/0.42 % DateTime : Mon Sep 21 04:06:28 UTC 2026
% 0.17/0.43 % CPUTime :
% 0.17/0.43 % Drodi V4.1.1
% 44.07/6.09 % Refutation found
% 44.07/6.09 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 44.07/6.09 % SZS output start CNFRefutation for theBenchmark
% 44.07/6.09 fof(f1,axiom,(
% 44.07/6.09 (![A,B]: (join(A,B) = join(B,A) ))),
% 44.07/6.09 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 44.07/6.09 fof(f2,axiom,(
% 44.07/6.09 (![A,B,C]: (join(A,join(B,C)) = join(join(A,B),C) ))),
% 44.07/6.09 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 44.07/6.09 fof(f5,axiom,(
% 44.07/6.09 (![A,B,C]: (composition(A,composition(B,C)) = composition(composition(A,B),C) ))),
% 44.07/6.09 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 44.07/6.09 fof(f6,axiom,(
% 44.07/6.09 (![A]: (composition(A,one) = A ))),
% 44.07/6.09 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 44.07/6.09 fof(f7,axiom,(
% 44.07/6.09 (![A,B,C]: (composition(join(A,B),C) = join(composition(A,C),composition(B,C)) ))),
% 44.07/6.09 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 44.07/6.09 fof(f8,axiom,(
% 44.07/6.09 (![A]: (converse(converse(A)) = A ))),
% 44.07/6.09 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 44.07/6.09 fof(f9,axiom,(
% 44.07/6.09 (![A,B]: (converse(join(A,B)) = join(converse(A),converse(B)) ))),
% 44.07/6.09 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 44.07/6.09 fof(f10,axiom,(
% 44.07/6.09 (![A,B]: (converse(composition(A,B)) = composition(converse(B),converse(A)) ))),
% 44.07/6.09 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 44.07/6.09 fof(f14,negated_conjecture,(
% 44.07/6.09 join(composition(converse(sk1),sk1),one) = one ),
% 44.07/6.09 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 44.07/6.09 fof(f15,negated_conjecture,(
% 44.07/6.09 join(composition(converse(sk2),sk2),one) = one ),
% 44.07/6.09 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 44.07/6.09 fof(f16,negated_conjecture,(
% 44.07/6.09 join(composition(converse(composition(sk1,sk2)),composition(sk1,sk2)),one) != one ),
% 44.07/6.09 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 44.07/6.09 fof(f17,plain,(
% 44.07/6.09 ![X0,X1]: (join(X0,X1)=join(X1,X0))),
% 44.07/6.09 inference(cnf_transformation,[status(thm)],[f1])).
% 44.07/6.09 fof(f18,plain,(
% 44.07/6.09 ![X0,X1,X2]: (join(X0,join(X1,X2))=join(join(X0,X1),X2))),
% 44.07/6.09 inference(cnf_transformation,[status(thm)],[f2])).
% 44.07/6.09 fof(f21,plain,(
% 44.07/6.09 ![X0,X1,X2]: (composition(X0,composition(X1,X2))=composition(composition(X0,X1),X2))),
% 44.07/6.09 inference(cnf_transformation,[status(thm)],[f5])).
% 44.07/6.09 fof(f22,plain,(
% 44.07/6.09 ![X0]: (composition(X0,one)=X0)),
% 44.07/6.09 inference(cnf_transformation,[status(thm)],[f6])).
% 44.07/6.09 fof(f23,plain,(
% 44.07/6.09 ![X0,X1,X2]: (composition(join(X0,X1),X2)=join(composition(X0,X2),composition(X1,X2)))),
% 44.07/6.09 inference(cnf_transformation,[status(thm)],[f7])).
% 44.07/6.09 fof(f24,plain,(
% 44.07/6.09 ![X0]: (converse(converse(X0))=X0)),
% 44.07/6.09 inference(cnf_transformation,[status(thm)],[f8])).
% 44.07/6.09 fof(f25,plain,(
% 44.07/6.09 ![X0,X1]: (converse(join(X0,X1))=join(converse(X0),converse(X1)))),
% 44.07/6.09 inference(cnf_transformation,[status(thm)],[f9])).
% 44.07/6.09 fof(f26,plain,(
% 44.07/6.09 ![X0,X1]: (converse(composition(X0,X1))=composition(converse(X1),converse(X0)))),
% 44.07/6.09 inference(cnf_transformation,[status(thm)],[f10])).
% 44.07/6.09 fof(f30,plain,(
% 44.07/6.09 join(composition(converse(sk1),sk1),one)=one),
% 44.07/6.09 inference(cnf_transformation,[status(thm)],[f14])).
% 44.07/6.09 fof(f31,plain,(
% 44.07/6.09 join(composition(converse(sk2),sk2),one)=one),
% 44.07/6.09 inference(cnf_transformation,[status(thm)],[f15])).
% 44.07/6.09 fof(f32,plain,(
% 44.07/6.09 ~join(composition(converse(composition(sk1,sk2)),composition(sk1,sk2)),one)=one),
% 44.07/6.09 inference(cnf_transformation,[status(thm)],[f16])).
% 44.07/6.09 fof(f41,plain,(
% 44.07/6.09 join(one,composition(converse(sk1),sk1))=one),
% 44.07/6.09 inference(forward_demodulation,[status(thm)],[f17,f30])).
% 44.07/6.09 fof(f42,plain,(
% 44.07/6.09 join(one,composition(converse(sk2),sk2))=one),
% 44.07/6.09 inference(forward_demodulation,[status(thm)],[f17,f31])).
% 44.07/6.09 fof(f43,plain,(
% 44.07/6.09 ~join(one,composition(converse(composition(sk1,sk2)),composition(sk1,sk2)))=one),
% 44.07/6.09 inference(forward_demodulation,[status(thm)],[f17,f32])).
% 44.07/6.09 fof(f53,plain,(
% 44.07/6.09 ![X0]: (join(one,join(composition(converse(sk2),sk2),X0))=join(one,X0))),
% 44.07/6.09 inference(paramodulation,[status(thm)],[f42,f18])).
% 44.07/6.09 fof(f61,plain,(
% 44.07/6.09 ![X0,X1]: (converse(composition(X0,converse(X1)))=composition(X1,converse(X0)))),
% 44.07/6.09 inference(paramodulation,[status(thm)],[f24,f26])).
% 44.07/6.09 fof(f62,plain,(
% 44.07/6.09 ![X0,X1]: (converse(composition(converse(X0),X1))=composition(converse(X1),X0))),
% 44.07/6.09 inference(paramodulation,[status(thm)],[f24,f26])).
% 44.07/6.09 fof(f65,plain,(
% 44.07/6.09 ![X0,X1,X2]: (composition(converse(X0),composition(converse(X1),X2))=composition(converse(composition(X1,X0)),X2))),
% 44.07/6.09 inference(paramodulation,[status(thm)],[f26,f21])).
% 44.07/6.09 fof(f66,plain,(
% 44.07/6.09 ![X0,X1]: (composition(X0,composition(one,X1))=composition(X0,X1))),
% 44.07/6.09 inference(paramodulation,[status(thm)],[f22,f21])).
% 44.07/6.09 fof(f92,plain,(
% 44.07/6.09 ![X0,X1]: (converse(join(X0,X1))=join(converse(X1),converse(X0)))),
% 44.07/6.09 inference(paramodulation,[status(thm)],[f17,f25])).
% 44.07/6.09 fof(f95,plain,(
% 44.07/6.09 ![X0,X1]: (converse(join(converse(X0),X1))=join(X0,converse(X1)))),
% 44.07/6.09 inference(paramodulation,[status(thm)],[f24,f25])).
% 44.07/6.09 fof(f107,plain,(
% 44.07/6.09 ![X0,X1]: (converse(join(converse(X0),X1))=join(converse(X1),X0))),
% 44.07/6.09 inference(paramodulation,[status(thm)],[f24,f92])).
% 44.07/6.09 fof(f166,plain,(
% 44.07/6.09 ![X0]: (converse(converse(X0))=composition(converse(one),X0))),
% 44.07/6.09 inference(paramodulation,[status(thm)],[f22,f62])).
% 44.07/6.09 fof(f184,plain,(
% 44.07/6.09 ![X0]: (X0=composition(converse(one),X0))),
% 44.07/6.09 inference(forward_demodulation,[status(thm)],[f24,f166])).
% 44.07/6.09 fof(f194,plain,(
% 44.07/6.09 ![X0]: (composition(one,X0)=composition(converse(one),X0))),
% 44.07/6.09 inference(paramodulation,[status(thm)],[f66,f184])).
% 44.07/6.09 fof(f195,plain,(
% 44.07/6.09 one=converse(one)),
% 44.07/6.09 inference(paramodulation,[status(thm)],[f22,f184])).
% 44.07/6.09 fof(f204,plain,(
% 44.07/6.09 ![X0]: (composition(one,X0)=X0)),
% 44.07/6.09 inference(forward_demodulation,[status(thm)],[f184,f194])).
% 44.07/6.09 fof(f217,plain,(
% 44.07/6.09 ![X0]: (converse(join(one,X0))=join(one,converse(X0)))),
% 44.07/6.09 inference(paramodulation,[status(thm)],[f195,f95])).
% 44.07/6.09 fof(f234,plain,(
% 44.07/6.09 ![X0,X1]: (composition(join(one,X0),X1)=join(X1,composition(X0,X1)))),
% 44.07/6.09 inference(paramodulation,[status(thm)],[f204,f23])).
% 44.07/6.09 fof(f835,plain,(
% 44.07/6.09 ![X0]: (join(one,composition(join(converse(sk2),X0),sk2))=join(one,composition(X0,sk2)))),
% 44.07/6.09 inference(paramodulation,[status(thm)],[f23,f53])).
% 44.07/6.09 fof(f5855,plain,(
% 44.07/6.09 ![X0,X1]: (converse(composition(join(one,X0),converse(X1)))=join(converse(composition(X0,converse(X1))),X1))),
% 44.07/6.09 inference(paramodulation,[status(thm)],[f234,f107])).
% 44.07/6.09 fof(f5925,plain,(
% 44.07/6.09 ![X0,X1]: (composition(X0,converse(join(one,X1)))=join(converse(composition(X1,converse(X0))),X0))),
% 44.07/6.10 inference(forward_demodulation,[status(thm)],[f61,f5855])).
% 44.07/6.10 fof(f5926,plain,(
% 44.07/6.10 ![X0,X1]: (composition(X0,join(one,converse(X1)))=join(converse(composition(X1,converse(X0))),X0))),
% 44.07/6.10 inference(forward_demodulation,[status(thm)],[f217,f5925])).
% 44.07/6.10 fof(f5927,plain,(
% 44.07/6.10 ![X0,X1]: (composition(X0,join(one,converse(X1)))=join(X0,converse(composition(X1,converse(X0)))))),
% 44.07/6.10 inference(forward_demodulation,[status(thm)],[f17,f5926])).
% 44.07/6.10 fof(f5928,plain,(
% 44.07/6.10 ![X0,X1]: (composition(X0,join(one,converse(X1)))=join(X0,composition(X0,converse(X1))))),
% 44.07/6.10 inference(forward_demodulation,[status(thm)],[f61,f5927])).
% 44.07/6.10 fof(f14933,plain,(
% 44.07/6.10 ![X0,X1]: (composition(X0,join(one,X1))=join(X0,composition(X0,converse(converse(X1)))))),
% 44.07/6.10 inference(paramodulation,[status(thm)],[f24,f5928])).
% 44.07/6.10 fof(f15043,plain,(
% 44.07/6.10 ![X0,X1]: (composition(X0,join(one,X1))=join(X0,composition(X0,X1)))),
% 44.07/6.10 inference(forward_demodulation,[status(thm)],[f24,f14933])).
% 44.07/6.10 fof(f15224,plain,(
% 44.07/6.10 ![X0]: (composition(X0,one)=join(X0,composition(X0,composition(converse(sk1),sk1))))),
% 44.07/6.10 inference(paramodulation,[status(thm)],[f41,f15043])).
% 44.07/6.10 fof(f15385,plain,(
% 44.07/6.10 ![X0]: (X0=join(X0,composition(X0,composition(converse(sk1),sk1))))),
% 44.07/6.10 inference(forward_demodulation,[status(thm)],[f22,f15224])).
% 44.07/6.10 fof(f16838,plain,(
% 44.07/6.10 join(one,composition(converse(sk2),sk2))=join(one,composition(composition(converse(sk2),composition(converse(sk1),sk1)),sk2))),
% 44.07/6.10 inference(paramodulation,[status(thm)],[f15385,f835])).
% 44.07/6.10 fof(f16955,plain,(
% 44.07/6.10 one=join(one,composition(composition(converse(sk2),composition(converse(sk1),sk1)),sk2))),
% 44.07/6.10 inference(forward_demodulation,[status(thm)],[f42,f16838])).
% 44.07/6.10 fof(f16956,plain,(
% 44.07/6.10 one=join(one,composition(converse(sk2),composition(composition(converse(sk1),sk1),sk2)))),
% 44.07/6.10 inference(forward_demodulation,[status(thm)],[f21,f16955])).
% 44.07/6.10 fof(f16957,plain,(
% 44.07/6.10 one=join(one,composition(converse(sk2),composition(converse(sk1),composition(sk1,sk2))))),
% 44.07/6.10 inference(forward_demodulation,[status(thm)],[f21,f16956])).
% 44.07/6.10 fof(f16958,plain,(
% 44.07/6.10 one=join(one,composition(converse(composition(sk1,sk2)),composition(sk1,sk2)))),
% 44.76/6.17 inference(forward_demodulation,[status(thm)],[f65,f16957])).
% 44.76/6.17 fof(f16959,plain,(
% 44.76/6.17 $false),
% 44.76/6.17 inference(forward_subsumption_resolution,[status(thm)],[f16958,f43])).
% 44.76/6.17 % SZS output end CNFRefutation for theBenchmark.p
% 44.76/6.20 % Elapsed time: 5.761802 seconds
% 44.76/6.20 % CPU time: 45.285736 seconds
% 44.76/6.20 % Total memory used: 264.061 MB
% 44.76/6.20 % Net memory used: 258.654 MB
%------------------------------------------------------------------------------