%------------------------------------------------------------------------------
% 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/sandbox/benchmark/theBenchmark.p
% Computer : n014.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 : Theorem 25.82s 3.81s
% 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.
% 0.00/0.06 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.15/0.42 % Computer : n014.cluster.edu
% 0.15/0.42 % Model : x86_64 x86_64
% 0.15/0.42 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.42 % Memory : 8046.5625MB
% 0.15/0.42 % OS : Linux 6.8.0-71-generic
% 0.15/0.42 % CPULimit : 300
% 0.15/0.42 % WCLimit : 300
% 0.15/0.42 % DateTime : Mon Sep 21 04:04:19 UTC 2026
% 0.15/0.43 % CPUTime :
% 0.15/0.44 % Drodi V4.1.1
% 25.82/3.81 % Refutation found
% 25.82/3.81 % SZS status Theorem for theBenchmark: Theorem is valid
% 25.82/3.81 % SZS output start CNFRefutation for theBenchmark
% 25.82/3.81 fof(f1,axiom,(
% 25.82/3.81 (! [X0,X1] : join(X0,X1) = join(X1,X0) )),
% 25.82/3.81 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 25.82/3.81 fof(f2,axiom,(
% 25.82/3.81 (! [X0,X1,X2] : join(X0,join(X1,X2)) = join(join(X0,X1),X2) )),
% 25.82/3.81 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 25.82/3.81 fof(f5,axiom,(
% 25.82/3.81 (! [X0,X1,X2] : composition(X0,composition(X1,X2)) = composition(composition(X0,X1),X2) )),
% 25.82/3.81 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 25.82/3.81 fof(f6,axiom,(
% 25.82/3.81 (! [X0] : composition(X0,one) = X0 )),
% 25.82/3.81 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 25.82/3.81 fof(f7,axiom,(
% 25.82/3.81 (! [X0,X1,X2] : composition(join(X0,X1),X2) = join(composition(X0,X2),composition(X1,X2)) )),
% 25.82/3.81 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 25.82/3.81 fof(f8,axiom,(
% 25.82/3.81 (! [X0] : converse(converse(X0)) = X0 )),
% 25.82/3.81 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 25.82/3.81 fof(f9,axiom,(
% 25.82/3.81 (! [X0,X1] : converse(join(X0,X1)) = join(converse(X0),converse(X1)) )),
% 25.82/3.81 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 25.82/3.81 fof(f10,axiom,(
% 25.82/3.81 (! [X0,X1] : converse(composition(X0,X1)) = composition(converse(X1),converse(X0)) )),
% 25.82/3.81 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 25.82/3.81 fof(f14,conjecture,(
% 25.82/3.81 (! [X0,X1] :( ( join(composition(converse(X0),X0),one) = one& join(composition(converse(X1),X1),one) = one )=> join(composition(converse(composition(X0,X1)),composition(X0,X1)),one) = one ) )),
% 25.82/3.81 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 25.82/3.81 fof(f15,negated_conjecture,(
% 25.82/3.81 ~((! [X0,X1] :( ( join(composition(converse(X0),X0),one) = one& join(composition(converse(X1),X1),one) = one )=> join(composition(converse(composition(X0,X1)),composition(X0,X1)),one) = one ) ))),
% 25.82/3.81 inference(negated_conjecture,[status(cth)],[f14])).
% 25.82/3.81 fof(f16,plain,(
% 25.82/3.81 ![X0,X1]: (join(X0,X1)=join(X1,X0))),
% 25.82/3.81 inference(cnf_transformation,[status(thm)],[f1])).
% 25.82/3.81 fof(f17,plain,(
% 25.82/3.81 ![X0,X1,X2]: (join(X0,join(X1,X2))=join(join(X0,X1),X2))),
% 25.82/3.81 inference(cnf_transformation,[status(thm)],[f2])).
% 25.82/3.81 fof(f20,plain,(
% 25.82/3.81 ![X0,X1,X2]: (composition(X0,composition(X1,X2))=composition(composition(X0,X1),X2))),
% 25.82/3.81 inference(cnf_transformation,[status(thm)],[f5])).
% 25.82/3.81 fof(f21,plain,(
% 25.82/3.81 ![X0]: (composition(X0,one)=X0)),
% 25.82/3.81 inference(cnf_transformation,[status(thm)],[f6])).
% 25.82/3.81 fof(f22,plain,(
% 25.82/3.81 ![X0,X1,X2]: (composition(join(X0,X1),X2)=join(composition(X0,X2),composition(X1,X2)))),
% 25.82/3.81 inference(cnf_transformation,[status(thm)],[f7])).
% 25.82/3.81 fof(f23,plain,(
% 25.82/3.81 ![X0]: (converse(converse(X0))=X0)),
% 25.82/3.81 inference(cnf_transformation,[status(thm)],[f8])).
% 25.82/3.81 fof(f24,plain,(
% 25.82/3.81 ![X0,X1]: (converse(join(X0,X1))=join(converse(X0),converse(X1)))),
% 25.82/3.81 inference(cnf_transformation,[status(thm)],[f9])).
% 25.82/3.81 fof(f25,plain,(
% 25.82/3.81 ![X0,X1]: (converse(composition(X0,X1))=composition(converse(X1),converse(X0)))),
% 25.82/3.81 inference(cnf_transformation,[status(thm)],[f10])).
% 25.82/3.81 fof(f29,plain,(
% 25.82/3.81 (?[X0,X1]: ((join(composition(converse(X0),X0),one)=one&join(composition(converse(X1),X1),one)=one)&~join(composition(converse(composition(X0,X1)),composition(X0,X1)),one)=one))),
% 25.82/3.81 inference(pre_NNF_transformation,[status(thm)],[f15])).
% 25.82/3.81 fof(f30,plain,(
% 25.82/3.81 ((join(composition(converse(sK0_skl),sK0_skl),one)=one&join(composition(converse(sK1_skl),sK1_skl),one)=one)&~join(composition(converse(composition(sK0_skl,sK1_skl)),composition(sK0_skl,sK1_skl)),one)=one)),
% 25.82/3.81 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl,sK1_skl]),skolemize(X0,sK0_skl),skolemize(X1,sK1_skl)],[f29])).
% 25.82/3.81 fof(f31,plain,(
% 25.82/3.81 join(composition(converse(sK0_skl),sK0_skl),one)=one),
% 25.82/3.81 inference(cnf_transformation,[status(thm)],[f30])).
% 25.82/3.81 fof(f32,plain,(
% 25.82/3.81 join(composition(converse(sK1_skl),sK1_skl),one)=one),
% 25.82/3.81 inference(cnf_transformation,[status(thm)],[f30])).
% 25.82/3.81 fof(f33,plain,(
% 25.82/3.81 ~join(composition(converse(composition(sK0_skl,sK1_skl)),composition(sK0_skl,sK1_skl)),one)=one),
% 25.82/3.81 inference(cnf_transformation,[status(thm)],[f30])).
% 25.82/3.81 fof(f42,plain,(
% 25.82/3.81 join(one,composition(converse(sK0_skl),sK0_skl))=one),
% 25.82/3.81 inference(forward_demodulation,[status(thm)],[f16,f31])).
% 25.82/3.81 fof(f43,plain,(
% 25.82/3.81 join(one,composition(converse(sK1_skl),sK1_skl))=one),
% 25.82/3.81 inference(forward_demodulation,[status(thm)],[f16,f32])).
% 25.82/3.81 fof(f44,plain,(
% 25.82/3.81 ~join(one,composition(converse(composition(sK0_skl,sK1_skl)),composition(sK0_skl,sK1_skl)))=one),
% 25.82/3.81 inference(forward_demodulation,[status(thm)],[f16,f33])).
% 25.82/3.81 fof(f54,plain,(
% 25.82/3.81 ![X0]: (join(one,join(composition(converse(sK1_skl),sK1_skl),X0))=join(one,X0))),
% 25.82/3.81 inference(paramodulation,[status(thm)],[f43,f17])).
% 25.82/3.81 fof(f62,plain,(
% 25.82/3.81 ![X0,X1]: (converse(composition(X0,converse(X1)))=composition(X1,converse(X0)))),
% 25.82/3.81 inference(paramodulation,[status(thm)],[f23,f25])).
% 25.82/3.81 fof(f63,plain,(
% 25.82/3.81 ![X0,X1]: (converse(composition(converse(X0),X1))=composition(converse(X1),X0))),
% 25.82/3.81 inference(paramodulation,[status(thm)],[f23,f25])).
% 25.82/3.81 fof(f66,plain,(
% 25.82/3.81 ![X0,X1,X2]: (composition(converse(X0),composition(converse(X1),X2))=composition(converse(composition(X1,X0)),X2))),
% 25.82/3.81 inference(paramodulation,[status(thm)],[f25,f20])).
% 25.82/3.81 fof(f67,plain,(
% 25.82/3.81 ![X0,X1]: (composition(X0,composition(one,X1))=composition(X0,X1))),
% 25.82/3.81 inference(paramodulation,[status(thm)],[f21,f20])).
% 25.82/3.81 fof(f93,plain,(
% 25.82/3.81 ![X0,X1]: (converse(join(X0,X1))=join(converse(X1),converse(X0)))),
% 25.82/3.81 inference(paramodulation,[status(thm)],[f16,f24])).
% 25.82/3.81 fof(f108,plain,(
% 25.82/3.81 ![X0,X1]: (converse(join(converse(X0),X1))=join(converse(X1),X0))),
% 25.82/3.81 inference(paramodulation,[status(thm)],[f23,f93])).
% 25.82/3.81 fof(f167,plain,(
% 25.82/3.81 ![X0]: (converse(converse(X0))=composition(converse(one),X0))),
% 25.82/3.81 inference(paramodulation,[status(thm)],[f21,f63])).
% 25.82/3.81 fof(f185,plain,(
% 25.82/3.81 ![X0]: (X0=composition(converse(one),X0))),
% 25.82/3.81 inference(forward_demodulation,[status(thm)],[f23,f167])).
% 25.82/3.81 fof(f195,plain,(
% 25.82/3.81 ![X0]: (composition(one,X0)=composition(converse(one),X0))),
% 25.82/3.81 inference(paramodulation,[status(thm)],[f67,f185])).
% 25.82/3.81 fof(f205,plain,(
% 25.82/3.81 ![X0]: (composition(one,X0)=X0)),
% 25.82/3.81 inference(forward_demodulation,[status(thm)],[f185,f195])).
% 25.82/3.81 fof(f235,plain,(
% 25.82/3.81 ![X0,X1]: (composition(join(one,X0),X1)=join(X1,composition(X0,X1)))),
% 25.82/3.81 inference(paramodulation,[status(thm)],[f205,f22])).
% 25.82/3.81 fof(f836,plain,(
% 25.82/3.81 ![X0]: (join(one,composition(join(converse(sK1_skl),X0),sK1_skl))=join(one,composition(X0,sK1_skl)))),
% 25.82/3.81 inference(paramodulation,[status(thm)],[f22,f54])).
% 25.82/3.81 fof(f5986,plain,(
% 25.82/3.81 ![X0]: (composition(one,X0)=join(X0,composition(composition(converse(sK0_skl),sK0_skl),X0)))),
% 25.82/3.81 inference(paramodulation,[status(thm)],[f42,f235])).
% 25.82/3.81 fof(f6070,plain,(
% 25.82/3.81 ![X0]: (X0=join(X0,composition(composition(converse(sK0_skl),sK0_skl),X0)))),
% 25.82/3.81 inference(forward_demodulation,[status(thm)],[f205,f5986])).
% 25.82/3.81 fof(f6071,plain,(
% 25.82/3.81 ![X0]: (X0=join(X0,composition(converse(sK0_skl),composition(sK0_skl,X0))))),
% 25.82/3.81 inference(forward_demodulation,[status(thm)],[f20,f6070])).
% 25.82/3.81 fof(f7835,plain,(
% 25.82/3.81 ![X0]: (converse(converse(X0))=join(converse(composition(converse(sK0_skl),composition(sK0_skl,converse(X0)))),X0))),
% 25.82/3.81 inference(paramodulation,[status(thm)],[f6071,f108])).
% 25.82/3.81 fof(f7878,plain,(
% 25.82/3.81 ![X0]: (X0=join(converse(composition(converse(sK0_skl),composition(sK0_skl,converse(X0)))),X0))),
% 25.82/3.81 inference(forward_demodulation,[status(thm)],[f23,f7835])).
% 25.82/3.81 fof(f7879,plain,(
% 25.82/3.81 ![X0]: (X0=join(X0,converse(composition(converse(sK0_skl),composition(sK0_skl,converse(X0))))))),
% 25.82/3.81 inference(forward_demodulation,[status(thm)],[f16,f7878])).
% 25.82/3.81 fof(f7880,plain,(
% 25.82/3.81 ![X0]: (X0=join(X0,composition(converse(composition(sK0_skl,converse(X0))),sK0_skl)))),
% 25.82/3.81 inference(forward_demodulation,[status(thm)],[f63,f7879])).
% 25.82/3.81 fof(f7881,plain,(
% 25.82/3.81 ![X0]: (X0=join(X0,composition(composition(X0,converse(sK0_skl)),sK0_skl)))),
% 25.82/3.81 inference(forward_demodulation,[status(thm)],[f62,f7880])).
% 25.82/3.81 fof(f7882,plain,(
% 25.82/3.81 ![X0]: (X0=join(X0,composition(X0,composition(converse(sK0_skl),sK0_skl))))),
% 25.82/3.81 inference(forward_demodulation,[status(thm)],[f20,f7881])).
% 25.82/3.81 fof(f8975,plain,(
% 25.82/3.81 join(one,composition(converse(sK1_skl),sK1_skl))=join(one,composition(composition(converse(sK1_skl),composition(converse(sK0_skl),sK0_skl)),sK1_skl))),
% 25.82/3.81 inference(paramodulation,[status(thm)],[f7882,f836])).
% 25.82/3.81 fof(f9035,plain,(
% 25.82/3.81 one=join(one,composition(composition(converse(sK1_skl),composition(converse(sK0_skl),sK0_skl)),sK1_skl))),
% 25.82/3.81 inference(forward_demodulation,[status(thm)],[f43,f8975])).
% 22.00/3.85 fof(f9036,plain,(
% 22.00/3.85 one=join(one,composition(converse(sK1_skl),composition(composition(converse(sK0_skl),sK0_skl),sK1_skl)))),
% 22.00/3.85 inference(forward_demodulation,[status(thm)],[f20,f9035])).
% 22.00/3.85 fof(f9037,plain,(
% 22.00/3.85 one=join(one,composition(converse(sK1_skl),composition(converse(sK0_skl),composition(sK0_skl,sK1_skl))))),
% 22.00/3.85 inference(forward_demodulation,[status(thm)],[f20,f9036])).
% 22.00/3.85 fof(f9038,plain,(
% 22.00/3.85 one=join(one,composition(converse(composition(sK0_skl,sK1_skl)),composition(sK0_skl,sK1_skl)))),
% 22.00/3.85 inference(forward_demodulation,[status(thm)],[f66,f9037])).
% 22.00/3.85 fof(f9039,plain,(
% 22.00/3.85 $false),
% 22.00/3.85 inference(forward_subsumption_resolution,[status(thm)],[f9038,f44])).
% 22.00/3.85 % SZS output end CNFRefutation for theBenchmark.p
% 22.00/3.88 % Elapsed time: 3.448230 seconds
% 22.00/3.88 % CPU time: 27.036306 seconds
% 22.00/3.88 % Total memory used: 188.254 MB
% 22.00/3.88 % Net memory used: 183.928 MB
%------------------------------------------------------------------------------