%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : BOO075-1 : TPTP v9.3.1. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/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 12:06:50 PM UTC 2026
% Result : Unsatisfiable 0.14s 0.52s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : BOO075-1 : TPTP v9.3.1. Released v2.6.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.36 % Computer : n014.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 13:52:04 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.37 % Drodi V4.1.1
% 0.14/0.52 % Refutation found
% 0.14/0.52 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.14/0.52 % SZS output start CNFRefutation for theBenchmark
% 0.14/0.52 fof(f1,axiom,(
% 0.14/0.52 (![A,B,C]: (nand(nand(A,nand(nand(B,A),A)),nand(B,nand(C,A))) = B ))),
% 0.14/0.52 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.52 fof(f2,negated_conjecture,(
% 0.14/0.52 nand(nand(a,a),nand(b,a)) != a ),
% 0.14/0.52 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.52 fof(f3,plain,(
% 0.14/0.52 ![X0,X1,X2]: (nand(nand(X0,nand(nand(X1,X0),X0)),nand(X1,nand(X2,X0)))=X1)),
% 0.14/0.52 inference(cnf_transformation,[status(thm)],[f1])).
% 0.14/0.52 fof(f4,plain,(
% 0.14/0.52 ~nand(nand(a,a),nand(b,a))=a),
% 0.14/0.52 inference(cnf_transformation,[status(thm)],[f2])).
% 0.14/0.52 fof(f9,plain,(
% 0.14/0.52 ![X0,X1,X2,X3]: (nand(nand(nand(X0,nand(X1,X2)),nand(X0,nand(X0,nand(X1,X2)))),nand(nand(X2,nand(nand(X0,X2),X2)),nand(X3,nand(X0,nand(X1,X2)))))=nand(X2,nand(nand(X0,X2),X2)))),
% 0.14/0.52 inference(paramodulation,[status(thm)],[f3,f3])).
% 0.14/0.52 fof(f10,plain,(
% 0.14/0.52 ![X0,X1,X2]: (nand(nand(nand(X0,X1),nand(nand(nand(X1,nand(nand(X2,X1),X1)),nand(X0,X1)),nand(X0,X1))),X2)=nand(X1,nand(nand(X2,X1),X1)))),
% 0.14/0.52 inference(paramodulation,[status(thm)],[f3,f3])).
% 0.14/0.52 fof(f11,plain,(
% 0.14/0.52 ![X0,X1,X2,X3]: (nand(nand(nand(X0,nand(X1,X2)),nand(nand(X3,nand(X0,nand(X1,X2))),nand(X0,nand(X1,X2)))),nand(X3,X0))=X3)),
% 0.14/0.52 inference(paramodulation,[status(thm)],[f3,f3])).
% 0.14/0.52 fof(f13,plain,(
% 0.14/0.52 ![X0,X1,X2,X3]: (nand(nand(X0,nand(nand(X1,nand(nand(X2,nand(nand(X0,X2),X2)),nand(X0,nand(X3,X2)))),nand(nand(X2,nand(nand(X0,X2),X2)),nand(X0,nand(X3,X2))))),nand(X1,nand(X2,nand(nand(X0,X2),X2))))=X1)),
% 0.14/0.52 inference(paramodulation,[status(thm)],[f3,f11])).
% 0.14/0.52 fof(f33,plain,(
% 0.14/0.52 ![X0,X1,X2,X3]: (nand(nand(X0,nand(nand(X1,X0),nand(nand(X2,nand(nand(X0,X2),X2)),nand(X0,nand(X3,X2))))),nand(X1,nand(X2,nand(nand(X0,X2),X2))))=X1)),
% 0.14/0.52 inference(forward_demodulation,[status(thm)],[f3,f13])).
% 0.14/0.52 fof(f35,plain,(
% 0.14/0.52 ![X0,X1,X2]: (nand(nand(X0,nand(nand(X1,X0),X0)),nand(X1,nand(X2,nand(nand(X0,X2),X2))))=X1)),
% 0.14/0.52 inference(forward_demodulation,[status(thm)],[f3,f33])).
% 0.14/0.52 fof(f59,plain,(
% 0.14/0.52 ![X0,X1]: (nand(nand(X0,nand(nand(nand(X1,nand(nand(X1,X1),X1)),X0),X0)),X1)=nand(X1,nand(nand(X1,X1),X1)))),
% 0.14/0.52 inference(paramodulation,[status(thm)],[f3,f35])).
% 0.14/0.52 fof(f78,plain,(
% 0.14/0.52 ![X0]: (nand(nand(nand(X0,nand(nand(X0,X0),X0)),nand(X0,nand(X0,nand(nand(X0,X0),X0)))),X0)=nand(X0,nand(nand(X0,X0),X0)))),
% 0.14/0.52 inference(paramodulation,[status(thm)],[f35,f9])).
% 0.14/0.52 fof(f91,plain,(
% 0.14/0.52 ![X0,X1]: (nand(nand(X0,nand(nand(nand(nand(X1,nand(nand(X1,X1),X1)),nand(X1,nand(X1,nand(nand(X1,X1),X1)))),X0),X0)),nand(X1,nand(nand(X1,X1),X1)))=nand(nand(X1,nand(nand(X1,X1),X1)),nand(X1,nand(X1,nand(nand(X1,X1),X1)))))),
% 0.14/0.52 inference(paramodulation,[status(thm)],[f9,f35])).
% 0.14/0.52 fof(f122,plain,(
% 0.14/0.52 ![X0,X1]: (nand(nand(X0,nand(nand(nand(X1,nand(nand(X1,X1),X1)),X0),X0)),X1)=nand(X1,X1))),
% 0.14/0.52 inference(backward_demodulation,[status(thm)],[f123,f59])).
% 0.14/0.52 fof(f123,plain,(
% 0.14/0.52 ![X0]: (nand(X0,X0)=nand(X0,nand(nand(X0,X0),X0)))),
% 0.14/0.52 inference(forward_demodulation,[status(thm)],[f35,f78])).
% 0.14/0.52 fof(f139,plain,(
% 0.14/0.52 ![X0,X1]: (nand(nand(X0,nand(nand(X1,X0),X0)),nand(X1,nand(nand(X1,X1),X1)))=nand(nand(X1,nand(nand(X1,X1),X1)),nand(X1,nand(X1,nand(nand(X1,X1),X1)))))),
% 0.14/0.52 inference(forward_demodulation,[status(thm)],[f35,f91])).
% 0.14/0.52 fof(f140,plain,(
% 0.14/0.52 ![X0,X1]: (nand(nand(X0,nand(nand(X1,X0),X0)),nand(X1,X1))=nand(nand(X1,nand(nand(X1,X1),X1)),nand(X1,nand(X1,nand(nand(X1,X1),X1)))))),
% 0.14/0.52 inference(forward_demodulation,[status(thm)],[f123,f139])).
% 0.14/0.52 fof(f141,plain,(
% 0.14/0.52 ![X0,X1]: (nand(nand(X0,nand(nand(X1,X0),X0)),nand(X1,X1))=X1)),
% 0.14/0.52 inference(forward_demodulation,[status(thm)],[f35,f140])).
% 0.14/0.52 fof(f144,plain,(
% 0.14/0.52 ![X0,X1]: (nand(nand(X0,nand(nand(nand(X1,X1),X0),X0)),X1)=nand(X1,X1))),
% 0.14/0.52 inference(forward_demodulation,[status(thm)],[f123,f122])).
% 0.14/0.52 fof(f151,plain,(
% 0.14/0.52 ![X0,X1]: (nand(nand(X0,X0),nand(X0,nand(X1,X0)))=X0)),
% 0.14/0.52 inference(paramodulation,[status(thm)],[f123,f3])).
% 0.14/0.52 fof(f731,plain,(
% 0.14/0.52 ![X0,X1]: (nand(nand(nand(X0,X1),nand(nand(nand(X0,X1),nand(X0,X1)),nand(X0,X1))),nand(nand(X0,X1),nand(X0,X1)))=nand(X1,nand(nand(nand(nand(X0,X1),nand(X0,X1)),X1),X1)))),
% 0.14/0.52 inference(paramodulation,[status(thm)],[f144,f10])).
% 0.14/0.52 fof(f818,plain,(
% 0.14/0.52 ![X0,X1]: (nand(X0,X1)=nand(X1,nand(nand(nand(nand(X0,X1),nand(X0,X1)),X1),X1)))),
% 0.14/0.52 inference(forward_demodulation,[status(thm)],[f141,f731])).
% 0.14/0.52 fof(f1415,plain,(
% 0.14/0.52 ![X0,X1]: (nand(nand(X0,X0),nand(X1,X0))=X0)),
% 0.14/0.52 inference(paramodulation,[status(thm)],[f818,f151])).
% 0.14/0.52 fof(f1550,plain,(
% 0.14/0.52 ~a=a),
% 0.14/0.52 inference(backward_demodulation,[status(thm)],[f1415,f4])).
% 0.14/0.52 fof(f1610,plain,(
% 0.14/0.52 $false),
% 0.14/0.52 inference(trivial_equality_resolution,[status(thm)],[f1550])).
% 0.14/0.52 % SZS output end CNFRefutation for theBenchmark.p
% 167.08/31.19 % Elapsed time: 30.594610 seconds
% 167.08/31.19 % CPU time: 94.569072 seconds
% 167.08/31.19 % Total memory used: 55.519 GB
% 167.08/31.19 % Net memory used: 55.519 GB
%------------------------------------------------------------------------------