%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : PUZ016-1 : TPTP v9.3.1. Released v1.0.0.
% 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 02:00:15 PM UTC 2026
% Result : Unsatisfiable 0.11s 0.43s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : PUZ016-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.35 % Computer : n018.cluster.edu
% 0.11/0.35 % Model : x86_64 x86_64
% 0.11/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.35 % Memory : 8046.5625MB
% 0.11/0.35 % OS : Linux 6.8.0-71-generic
% 0.11/0.35 % CPULimit : 300
% 0.11/0.35 % WCLimit : 300
% 0.11/0.35 % DateTime : Mon Sep 21 03:47:29 UTC 2026
% 0.11/0.35 % CPUTime :
% 0.11/0.38 % Drodi V4.1.1
% 0.11/0.43 % Refutation found
% 0.11/0.43 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.11/0.43 % SZS output start CNFRefutation for theBenchmark
% 0.11/0.43 fof(f2,axiom,(
% 0.11/0.43 (![X,Y1,Y4,Y5,Y6,Y7,Y8]: (( ~ achievable(row(X),squares(Y1,not_covered,not_covered,Y4,Y5,Y6,Y7,Y8))| achievable(row(X),squares(Y1,covered,covered,Y4,Y5,Y6,Y7,Y8)) ) ))),
% 0.11/0.43 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.43 fof(f8,axiom,(
% 0.11/0.43 (![X,Y1,Y2,Y3,Y4,Y5,Y6,Y7,Y8]: (( ~ achievable(row(X),squares(Y1,Y2,Y3,Y4,Y5,Y6,Y7,Y8))| achievable(row(successor(X)),squares(complement(Y1),complement(Y2),complement(Y3),complement(Y4),complement(Y5),complement(Y6),complement(Y7),complement(Y8))) ) ))),
% 0.11/0.43 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.43 fof(f9,axiom,(
% 0.11/0.43 successor(n1) = n2 ),
% 0.11/0.43 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.43 fof(f10,axiom,(
% 0.11/0.43 successor(n2) = n3 ),
% 0.11/0.43 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.43 fof(f11,axiom,(
% 0.11/0.43 successor(n3) = n4 ),
% 0.11/0.43 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.43 fof(f12,axiom,(
% 0.11/0.43 successor(n4) = n5 ),
% 0.11/0.43 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.43 fof(f13,axiom,(
% 0.11/0.43 successor(n5) = n6 ),
% 0.11/0.43 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.43 fof(f14,axiom,(
% 0.11/0.43 successor(n6) = n7 ),
% 0.11/0.43 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.43 fof(f15,axiom,(
% 0.11/0.43 successor(n7) = n8 ),
% 0.11/0.43 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.43 fof(f17,axiom,(
% 0.11/0.43 complement(covered) = not_covered ),
% 0.11/0.43 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.43 fof(f18,axiom,(
% 0.11/0.43 complement(not_covered) = covered ),
% 0.11/0.43 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.43 fof(f19,axiom,(
% 0.11/0.43 complement(removed) = not_covered ),
% 0.11/0.43 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.43 fof(f20,hypothesis,(
% 0.11/0.43 achievable(row(n1),squares(not_covered,removed,removed,not_covered,not_covered,not_covered,not_covered,not_covered)) ),
% 0.11/0.43 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.43 fof(f21,negated_conjecture,(
% 0.11/0.43 ~ achievable(row(n8),squares(covered,covered,covered,covered,covered,covered,covered,covered)) ),
% 0.11/0.43 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.43 fof(f23,plain,(
% 0.11/0.43 ![X0,X1,X2,X3,X4,X5,X6]: (~achievable(row(X0),squares(X1,not_covered,not_covered,X2,X3,X4,X5,X6))|achievable(row(X0),squares(X1,covered,covered,X2,X3,X4,X5,X6)))),
% 0.11/0.43 inference(cnf_transformation,[status(thm)],[f2])).
% 0.11/0.43 fof(f29,plain,(
% 0.11/0.43 ![X0,X1,X2,X3,X4,X5,X6,X7,X8]: (~achievable(row(X0),squares(X1,X2,X3,X4,X5,X6,X7,X8))|achievable(row(successor(X0)),squares(complement(X1),complement(X2),complement(X3),complement(X4),complement(X5),complement(X6),complement(X7),complement(X8))))),
% 0.11/0.43 inference(cnf_transformation,[status(thm)],[f8])).
% 0.11/0.43 fof(f30,plain,(
% 0.11/0.43 successor(n1)=n2),
% 0.11/0.43 inference(cnf_transformation,[status(thm)],[f9])).
% 0.11/0.43 fof(f31,plain,(
% 0.11/0.43 successor(n2)=n3),
% 0.11/0.43 inference(cnf_transformation,[status(thm)],[f10])).
% 0.11/0.43 fof(f32,plain,(
% 0.11/0.43 successor(n3)=n4),
% 0.11/0.43 inference(cnf_transformation,[status(thm)],[f11])).
% 0.11/0.43 fof(f33,plain,(
% 0.11/0.43 successor(n4)=n5),
% 0.11/0.43 inference(cnf_transformation,[status(thm)],[f12])).
% 0.11/0.43 fof(f34,plain,(
% 0.11/0.43 successor(n5)=n6),
% 0.11/0.43 inference(cnf_transformation,[status(thm)],[f13])).
% 0.11/0.43 fof(f35,plain,(
% 0.11/0.43 successor(n6)=n7),
% 0.11/0.43 inference(cnf_transformation,[status(thm)],[f14])).
% 0.11/0.43 fof(f36,plain,(
% 0.11/0.43 successor(n7)=n8),
% 0.11/0.43 inference(cnf_transformation,[status(thm)],[f15])).
% 0.11/0.43 fof(f38,plain,(
% 0.11/0.43 complement(covered)=not_covered),
% 0.11/0.43 inference(cnf_transformation,[status(thm)],[f17])).
% 0.11/0.43 fof(f39,plain,(
% 0.11/0.43 complement(not_covered)=covered),
% 0.11/0.43 inference(cnf_transformation,[status(thm)],[f18])).
% 0.11/0.43 fof(f40,plain,(
% 0.11/0.43 complement(removed)=not_covered),
% 0.11/0.43 inference(cnf_transformation,[status(thm)],[f19])).
% 0.11/0.43 fof(f41,plain,(
% 0.11/0.43 achievable(row(n1),squares(not_covered,removed,removed,not_covered,not_covered,not_covered,not_covered,not_covered))),
% 0.11/0.43 inference(cnf_transformation,[status(thm)],[f20])).
% 0.11/0.43 fof(f42,plain,(
% 0.11/0.43 ~achievable(row(n8),squares(covered,covered,covered,covered,covered,covered,covered,covered))),
% 0.11/0.43 inference(cnf_transformation,[status(thm)],[f21])).
% 0.11/0.43 fof(f47,plain,(
% 0.11/0.43 achievable(row(successor(n1)),squares(complement(not_covered),complement(removed),complement(removed),complement(not_covered),complement(not_covered),complement(not_covered),complement(not_covered),complement(not_covered)))),
% 0.11/0.43 inference(resolution,[status(thm)],[f41,f29])).
% 0.11/0.43 fof(f48,plain,(
% 0.11/0.43 achievable(row(n2),squares(complement(not_covered),complement(removed),complement(removed),complement(not_covered),complement(not_covered),complement(not_covered),complement(not_covered),complement(not_covered)))),
% 0.11/0.43 inference(forward_demodulation,[status(thm)],[f30,f47])).
% 0.11/0.43 fof(f49,plain,(
% 0.11/0.43 achievable(row(n2),squares(covered,complement(removed),complement(removed),complement(not_covered),complement(not_covered),complement(not_covered),complement(not_covered),complement(not_covered)))),
% 0.11/0.43 inference(forward_demodulation,[status(thm)],[f39,f48])).
% 0.11/0.43 fof(f50,plain,(
% 0.11/0.43 achievable(row(n2),squares(covered,not_covered,complement(removed),complement(not_covered),complement(not_covered),complement(not_covered),complement(not_covered),complement(not_covered)))),
% 0.11/0.43 inference(forward_demodulation,[status(thm)],[f40,f49])).
% 0.11/0.43 fof(f51,plain,(
% 0.11/0.43 achievable(row(n2),squares(covered,not_covered,not_covered,complement(not_covered),complement(not_covered),complement(not_covered),complement(not_covered),complement(not_covered)))),
% 0.11/0.43 inference(forward_demodulation,[status(thm)],[f40,f50])).
% 0.11/0.43 fof(f52,plain,(
% 0.11/0.43 achievable(row(n2),squares(covered,not_covered,not_covered,covered,complement(not_covered),complement(not_covered),complement(not_covered),complement(not_covered)))),
% 0.11/0.43 inference(forward_demodulation,[status(thm)],[f39,f51])).
% 0.11/0.43 fof(f53,plain,(
% 0.11/0.43 achievable(row(n2),squares(covered,not_covered,not_covered,covered,covered,complement(not_covered),complement(not_covered),complement(not_covered)))),
% 0.11/0.43 inference(forward_demodulation,[status(thm)],[f39,f52])).
% 0.11/0.43 fof(f54,plain,(
% 0.11/0.43 achievable(row(n2),squares(covered,not_covered,not_covered,covered,covered,covered,complement(not_covered),complement(not_covered)))),
% 0.11/0.43 inference(forward_demodulation,[status(thm)],[f39,f53])).
% 0.11/0.43 fof(f55,plain,(
% 0.11/0.43 achievable(row(n2),squares(covered,not_covered,not_covered,covered,covered,covered,covered,complement(not_covered)))),
% 0.11/0.43 inference(forward_demodulation,[status(thm)],[f39,f54])).
% 0.11/0.43 fof(f56,plain,(
% 0.11/0.43 achievable(row(n2),squares(covered,not_covered,not_covered,covered,covered,covered,covered,covered))),
% 0.11/0.43 inference(forward_demodulation,[status(thm)],[f39,f55])).
% 0.11/0.43 fof(f103,plain,(
% 0.11/0.43 achievable(row(n2),squares(covered,covered,covered,covered,covered,covered,covered,covered))),
% 0.11/0.43 inference(resolution,[status(thm)],[f56,f23])).
% 0.11/0.43 fof(f193,plain,(
% 0.11/0.43 achievable(row(successor(n2)),squares(complement(covered),complement(covered),complement(covered),complement(covered),complement(covered),complement(covered),complement(covered),complement(covered)))),
% 0.11/0.43 inference(resolution,[status(thm)],[f103,f29])).
% 0.11/0.43 fof(f194,plain,(
% 0.11/0.43 achievable(row(n3),squares(complement(covered),complement(covered),complement(covered),complement(covered),complement(covered),complement(covered),complement(covered),complement(covered)))),
% 0.11/0.43 inference(forward_demodulation,[status(thm)],[f31,f193])).
% 0.11/0.43 fof(f195,plain,(
% 0.11/0.43 achievable(row(n3),squares(not_covered,complement(covered),complement(covered),complement(covered),complement(covered),complement(covered),complement(covered),complement(covered)))),
% 0.11/0.43 inference(forward_demodulation,[status(thm)],[f38,f194])).
% 0.11/0.43 fof(f196,plain,(
% 0.11/0.43 achievable(row(n3),squares(not_covered,not_covered,complement(covered),complement(covered),complement(covered),complement(covered),complement(covered),complement(covered)))),
% 0.11/0.43 inference(forward_demodulation,[status(thm)],[f38,f195])).
% 0.11/0.43 fof(f197,plain,(
% 0.11/0.43 achievable(row(n3),squares(not_covered,not_covered,not_covered,complement(covered),complement(covered),complement(covered),complement(covered),complement(covered)))),
% 0.11/0.43 inference(forward_demodulation,[status(thm)],[f38,f196])).
% 0.11/0.43 fof(f198,plain,(
% 0.11/0.43 achievable(row(n3),squares(not_covered,not_covered,not_covered,not_covered,complement(covered),complement(covered),complement(covered),complement(covered)))),
% 0.11/0.43 inference(forward_demodulation,[status(thm)],[f38,f197])).
% 0.11/0.43 fof(f199,plain,(
% 0.11/0.43 achievable(row(n3),squares(not_covered,not_covered,not_covered,not_covered,not_covered,complement(covered),complement(covered),complement(covered)))),
% 0.11/0.43 inference(forward_demodulation,[status(thm)],[f38,f198])).
% 0.11/0.43 fof(f200,plain,(
% 0.11/0.43 achievable(row(n3),squares(not_covered,not_covered,not_covered,not_covered,not_covered,not_covered,complement(covered),complement(covered)))),
% 0.11/0.43 inference(forward_demodulation,[status(thm)],[f38,f199])).
% 0.11/0.43 fof(f201,plain,(
% 0.11/0.43 achievable(row(n3),squares(not_covered,not_covered,not_covered,not_covered,not_covered,not_covered,not_covered,complement(covered)))),
% 0.11/0.43 inference(forward_demodulation,[status(thm)],[f38,f200])).
% 0.11/0.43 fof(f202,plain,(
% 0.11/0.43 achievable(row(n3),squares(not_covered,not_covered,not_covered,not_covered,not_covered,not_covered,not_covered,not_covered))),
% 0.11/0.43 inference(forward_demodulation,[status(thm)],[f38,f201])).
% 0.11/0.43 fof(f367,plain,(
% 0.11/0.43 achievable(row(successor(n3)),squares(complement(not_covered),complement(not_covered),complement(not_covered),complement(not_covered),complement(not_covered),complement(not_covered),complement(not_covered),complement(not_covered)))),
% 0.11/0.43 inference(resolution,[status(thm)],[f202,f29])).
% 0.11/0.43 fof(f368,plain,(
% 0.11/0.43 achievable(row(n4),squares(complement(not_covered),complement(not_covered),complement(not_covered),complement(not_covered),complement(not_covered),complement(not_covered),complement(not_covered),complement(not_covered)))),
% 0.11/0.43 inference(forward_demodulation,[status(thm)],[f32,f367])).
% 0.11/0.43 fof(f369,plain,(
% 0.11/0.43 achievable(row(n4),squares(covered,complement(not_covered),complement(not_covered),complement(not_covered),complement(not_covered),complement(not_covered),complement(not_covered),complement(not_covered)))),
% 0.11/0.43 inference(forward_demodulation,[status(thm)],[f39,f368])).
% 0.11/0.43 fof(f370,plain,(
% 0.11/0.43 achievable(row(n4),squares(covered,covered,complement(not_covered),complement(not_covered),complement(not_covered),complement(not_covered),complement(not_covered),complement(not_covered)))),
% 0.11/0.43 inference(forward_demodulation,[status(thm)],[f39,f369])).
% 0.11/0.43 fof(f371,plain,(
% 0.11/0.43 achievable(row(n4),squares(covered,covered,covered,complement(not_covered),complement(not_covered),complement(not_covered),complement(not_covered),complement(not_covered)))),
% 0.11/0.43 inference(forward_demodulation,[status(thm)],[f39,f370])).
% 0.11/0.43 fof(f372,plain,(
% 0.11/0.43 achievable(row(n4),squares(covered,covered,covered,covered,complement(not_covered),complement(not_covered),complement(not_covered),complement(not_covered)))),
% 0.11/0.43 inference(forward_demodulation,[status(thm)],[f39,f371])).
% 0.11/0.43 fof(f373,plain,(
% 0.11/0.43 achievable(row(n4),squares(covered,covered,covered,covered,covered,complement(not_covered),complement(not_covered),complement(not_covered)))),
% 0.11/0.43 inference(forward_demodulation,[status(thm)],[f39,f372])).
% 0.11/0.43 fof(f374,plain,(
% 0.11/0.43 achievable(row(n4),squares(covered,covered,covered,covered,covered,covered,complement(not_covered),complement(not_covered)))),
% 0.11/0.43 inference(forward_demodulation,[status(thm)],[f39,f373])).
% 0.11/0.43 fof(f375,plain,(
% 0.11/0.43 achievable(row(n4),squares(covered,covered,covered,covered,covered,covered,covered,complement(not_covered)))),
% 0.11/0.43 inference(forward_demodulation,[status(thm)],[f39,f374])).
% 0.11/0.43 fof(f376,plain,(
% 0.11/0.43 achievable(row(n4),squares(covered,covered,covered,covered,covered,covered,covered,covered))),
% 0.11/0.43 inference(forward_demodulation,[status(thm)],[f39,f375])).
% 0.11/0.43 fof(f650,plain,(
% 0.11/0.43 achievable(row(successor(n4)),squares(complement(covered),complement(covered),complement(covered),complement(covered),complement(covered),complement(covered),complement(covered),complement(covered)))),
% 0.11/0.43 inference(resolution,[status(thm)],[f376,f29])).
% 0.11/0.43 fof(f651,plain,(
% 0.11/0.43 achievable(row(n5),squares(complement(covered),complement(covered),complement(covered),complement(covered),complement(covered),complement(covered),complement(covered),complement(covered)))),
% 0.11/0.43 inference(forward_demodulation,[status(thm)],[f33,f650])).
% 0.11/0.43 fof(f652,plain,(
% 0.11/0.43 achievable(row(n5),squares(not_covered,complement(covered),complement(covered),complement(covered),complement(covered),complement(covered),complement(covered),complement(covered)))),
% 0.11/0.43 inference(forward_demodulation,[status(thm)],[f38,f651])).
% 0.11/0.43 fof(f653,plain,(
% 0.11/0.43 achievable(row(n5),squares(not_covered,not_covered,complement(covered),complement(covered),complement(covered),complement(covered),complement(covered),complement(covered)))),
% 0.11/0.43 inference(forward_demodulation,[status(thm)],[f38,f652])).
% 0.11/0.43 fof(f654,plain,(
% 0.11/0.43 achievable(row(n5),squares(not_covered,not_covered,not_covered,complement(covered),complement(covered),complement(covered),complement(covered),complement(covered)))),
% 0.11/0.43 inference(forward_demodulation,[status(thm)],[f38,f653])).
% 0.11/0.43 fof(f655,plain,(
% 0.11/0.43 achievable(row(n5),squares(not_covered,not_covered,not_covered,not_covered,complement(covered),complement(covered),complement(covered),complement(covered)))),
% 0.11/0.43 inference(forward_demodulation,[status(thm)],[f38,f654])).
% 0.11/0.43 fof(f656,plain,(
% 0.11/0.43 achievable(row(n5),squares(not_covered,not_covered,not_covered,not_covered,not_covered,complement(covered),complement(covered),complement(covered)))),
% 0.11/0.43 inference(forward_demodulation,[status(thm)],[f38,f655])).
% 0.11/0.43 fof(f657,plain,(
% 0.11/0.43 achievable(row(n5),squares(not_covered,not_covered,not_covered,not_covered,not_covered,not_covered,complement(covered),complement(covered)))),
% 0.11/0.43 inference(forward_demodulation,[status(thm)],[f38,f656])).
% 0.11/0.43 fof(f658,plain,(
% 0.11/0.43 achievable(row(n5),squares(not_covered,not_covered,not_covered,not_covered,not_covered,not_covered,not_covered,complement(covered)))),
% 0.11/0.43 inference(forward_demodulation,[status(thm)],[f38,f657])).
% 0.11/0.43 fof(f659,plain,(
% 0.11/0.43 achievable(row(n5),squares(not_covered,not_covered,not_covered,not_covered,not_covered,not_covered,not_covered,not_covered))),
% 0.11/0.43 inference(forward_demodulation,[status(thm)],[f38,f658])).
% 0.11/0.43 fof(f1054,plain,(
% 0.11/0.43 achievable(row(successor(n5)),squares(complement(not_covered),complement(not_covered),complement(not_covered),complement(not_covered),complement(not_covered),complement(not_covered),complement(not_covered),complement(not_covered)))),
% 0.11/0.43 inference(resolution,[status(thm)],[f659,f29])).
% 0.11/0.43 fof(f1055,plain,(
% 0.11/0.43 achievable(row(n6),squares(complement(not_covered),complement(not_covered),complement(not_covered),complement(not_covered),complement(not_covered),complement(not_covered),complement(not_covered),complement(not_covered)))),
% 0.11/0.43 inference(forward_demodulation,[status(thm)],[f34,f1054])).
% 0.11/0.43 fof(f1056,plain,(
% 0.11/0.43 achievable(row(n6),squares(covered,complement(not_covered),complement(not_covered),complement(not_covered),complement(not_covered),complement(not_covered),complement(not_covered),complement(not_covered)))),
% 0.11/0.43 inference(forward_demodulation,[status(thm)],[f39,f1055])).
% 0.11/0.43 fof(f1057,plain,(
% 0.11/0.43 achievable(row(n6),squares(covered,covered,complement(not_covered),complement(not_covered),complement(not_covered),complement(not_covered),complement(not_covered),complement(not_covered)))),
% 0.11/0.43 inference(forward_demodulation,[status(thm)],[f39,f1056])).
% 0.11/0.43 fof(f1058,plain,(
% 0.11/0.43 achievable(row(n6),squares(covered,covered,covered,complement(not_covered),complement(not_covered),complement(not_covered),complement(not_covered),complement(not_covered)))),
% 0.11/0.43 inference(forward_demodulation,[status(thm)],[f39,f1057])).
% 0.11/0.43 fof(f1059,plain,(
% 0.11/0.43 achievable(row(n6),squares(covered,covered,covered,covered,complement(not_covered),complement(not_covered),complement(not_covered),complement(not_covered)))),
% 0.11/0.43 inference(forward_demodulation,[status(thm)],[f39,f1058])).
% 0.11/0.43 fof(f1060,plain,(
% 0.11/0.43 achievable(row(n6),squares(covered,covered,covered,covered,covered,complement(not_covered),complement(not_covered),complement(not_covered)))),
% 0.11/0.43 inference(forward_demodulation,[status(thm)],[f39,f1059])).
% 0.11/0.43 fof(f1061,plain,(
% 0.11/0.43 achievable(row(n6),squares(covered,covered,covered,covered,covered,covered,complement(not_covered),complement(not_covered)))),
% 0.11/0.43 inference(forward_demodulation,[status(thm)],[f39,f1060])).
% 0.11/0.43 fof(f1062,plain,(
% 0.11/0.43 achievable(row(n6),squares(covered,covered,covered,covered,covered,covered,covered,complement(not_covered)))),
% 0.11/0.43 inference(forward_demodulation,[status(thm)],[f39,f1061])).
% 0.11/0.43 fof(f1063,plain,(
% 0.11/0.43 achievable(row(n6),squares(covered,covered,covered,covered,covered,covered,covered,covered))),
% 0.11/0.43 inference(forward_demodulation,[status(thm)],[f39,f1062])).
% 0.11/0.43 fof(f1549,plain,(
% 0.11/0.43 achievable(row(successor(n6)),squares(complement(covered),complement(covered),complement(covered),complement(covered),complement(covered),complement(covered),complement(covered),complement(covered)))),
% 0.11/0.43 inference(resolution,[status(thm)],[f1063,f29])).
% 0.11/0.43 fof(f1550,plain,(
% 0.11/0.43 achievable(row(n7),squares(complement(covered),complement(covered),complement(covered),complement(covered),complement(covered),complement(covered),complement(covered),complement(covered)))),
% 0.11/0.43 inference(forward_demodulation,[status(thm)],[f35,f1549])).
% 0.11/0.43 fof(f1551,plain,(
% 0.11/0.43 achievable(row(n7),squares(not_covered,complement(covered),complement(covered),complement(covered),complement(covered),complement(covered),complement(covered),complement(covered)))),
% 0.11/0.43 inference(forward_demodulation,[status(thm)],[f38,f1550])).
% 0.11/0.43 fof(f1552,plain,(
% 0.11/0.43 achievable(row(n7),squares(not_covered,not_covered,complement(covered),complement(covered),complement(covered),complement(covered),complement(covered),complement(covered)))),
% 0.11/0.43 inference(forward_demodulation,[status(thm)],[f38,f1551])).
% 0.11/0.43 fof(f1553,plain,(
% 0.11/0.43 achievable(row(n7),squares(not_covered,not_covered,not_covered,complement(covered),complement(covered),complement(covered),complement(covered),complement(covered)))),
% 0.11/0.43 inference(forward_demodulation,[status(thm)],[f38,f1552])).
% 0.11/0.43 fof(f1554,plain,(
% 0.11/0.43 achievable(row(n7),squares(not_covered,not_covered,not_covered,not_covered,complement(covered),complement(covered),complement(covered),complement(covered)))),
% 0.11/0.43 inference(forward_demodulation,[status(thm)],[f38,f1553])).
% 0.11/0.43 fof(f1555,plain,(
% 0.11/0.43 achievable(row(n7),squares(not_covered,not_covered,not_covered,not_covered,not_covered,complement(covered),complement(covered),complement(covered)))),
% 0.11/0.43 inference(forward_demodulation,[status(thm)],[f38,f1554])).
% 0.11/0.43 fof(f1556,plain,(
% 0.11/0.43 achievable(row(n7),squares(not_covered,not_covered,not_covered,not_covered,not_covered,not_covered,complement(covered),complement(covered)))),
% 0.11/0.43 inference(forward_demodulation,[status(thm)],[f38,f1555])).
% 0.11/0.43 fof(f1557,plain,(
% 0.11/0.43 achievable(row(n7),squares(not_covered,not_covered,not_covered,not_covered,not_covered,not_covered,not_covered,complement(covered)))),
% 0.11/0.43 inference(forward_demodulation,[status(thm)],[f38,f1556])).
% 0.11/0.43 fof(f1558,plain,(
% 0.11/0.43 achievable(row(n7),squares(not_covered,not_covered,not_covered,not_covered,not_covered,not_covered,not_covered,not_covered))),
% 0.11/0.43 inference(forward_demodulation,[status(thm)],[f38,f1557])).
% 0.11/0.43 fof(f2127,plain,(
% 0.11/0.43 achievable(row(successor(n7)),squares(complement(not_covered),complement(not_covered),complement(not_covered),complement(not_covered),complement(not_covered),complement(not_covered),complement(not_covered),complement(not_covered)))),
% 0.11/0.43 inference(resolution,[status(thm)],[f1558,f29])).
% 0.11/0.43 fof(f2128,plain,(
% 0.11/0.43 achievable(row(n8),squares(complement(not_covered),complement(not_covered),complement(not_covered),complement(not_covered),complement(not_covered),complement(not_covered),complement(not_covered),complement(not_covered)))),
% 0.11/0.43 inference(forward_demodulation,[status(thm)],[f36,f2127])).
% 0.11/0.43 fof(f2129,plain,(
% 0.11/0.43 achievable(row(n8),squares(covered,complement(not_covered),complement(not_covered),complement(not_covered),complement(not_covered),complement(not_covered),complement(not_covered),complement(not_covered)))),
% 0.11/0.43 inference(forward_demodulation,[status(thm)],[f39,f2128])).
% 0.11/0.43 fof(f2130,plain,(
% 0.11/0.43 achievable(row(n8),squares(covered,covered,complement(not_covered),complement(not_covered),complement(not_covered),complement(not_covered),complement(not_covered),complement(not_covered)))),
% 0.11/0.43 inference(forward_demodulation,[status(thm)],[f39,f2129])).
% 0.11/0.43 fof(f2131,plain,(
% 0.11/0.43 achievable(row(n8),squares(covered,covered,covered,complement(not_covered),complement(not_covered),complement(not_covered),complement(not_covered),complement(not_covered)))),
% 0.11/0.43 inference(forward_demodulation,[status(thm)],[f39,f2130])).
% 0.11/0.43 fof(f2132,plain,(
% 0.11/0.43 achievable(row(n8),squares(covered,covered,covered,covered,complement(not_covered),complement(not_covered),complement(not_covered),complement(not_covered)))),
% 0.11/0.45 inference(forward_demodulation,[status(thm)],[f39,f2131])).
% 0.11/0.45 fof(f2133,plain,(
% 0.11/0.45 achievable(row(n8),squares(covered,covered,covered,covered,covered,complement(not_covered),complement(not_covered),complement(not_covered)))),
% 0.11/0.45 inference(forward_demodulation,[status(thm)],[f39,f2132])).
% 0.11/0.45 fof(f2134,plain,(
% 0.11/0.45 achievable(row(n8),squares(covered,covered,covered,covered,covered,covered,complement(not_covered),complement(not_covered)))),
% 0.11/0.45 inference(forward_demodulation,[status(thm)],[f39,f2133])).
% 0.11/0.45 fof(f2135,plain,(
% 0.11/0.45 achievable(row(n8),squares(covered,covered,covered,covered,covered,covered,covered,complement(not_covered)))),
% 0.11/0.45 inference(forward_demodulation,[status(thm)],[f39,f2134])).
% 0.11/0.45 fof(f2136,plain,(
% 0.11/0.45 achievable(row(n8),squares(covered,covered,covered,covered,covered,covered,covered,covered))),
% 0.11/0.45 inference(forward_demodulation,[status(thm)],[f39,f2135])).
% 0.11/0.45 fof(f2137,plain,(
% 0.11/0.45 $false),
% 0.11/0.45 inference(forward_subsumption_resolution,[status(thm)],[f2136,f42])).
% 0.11/0.45 % SZS output end CNFRefutation for theBenchmark.p
% 0.11/0.49 % Elapsed time: 0.125111 seconds
% 0.11/0.49 % CPU time: 0.328633 seconds
% 0.11/0.49 % Total memory used: 40.895 MB
% 0.11/0.49 % Net memory used: 40.803 MB
%------------------------------------------------------------------------------