%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : LCL123-1 : TPTP v9.3.1. Bugfixed v2.3.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n012.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 01:09:24 PM UTC 2026
% Result : Unsatisfiable 250.42s 31.88s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : LCL123-1 : TPTP v9.3.1. Bugfixed v2.3.0.
% 0.00/0.02 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.03/0.29 % Computer : n012.cluster.edu
% 0.03/0.29 % Model : x86_64 x86_64
% 0.03/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.03/0.29 % Memory : 8046.5625MB
% 0.03/0.29 % OS : Linux 6.8.0-71-generic
% 0.03/0.29 % CPULimit : 300
% 0.03/0.29 % WCLimit : 300
% 0.03/0.29 % DateTime : Mon Sep 21 00:05:51 UTC 2026
% 0.03/0.29 % CPUTime :
% 0.03/0.30 % Drodi V4.1.1
% 250.42/31.88 % Refutation found
% 250.42/31.88 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 250.42/31.88 % SZS output start CNFRefutation for theBenchmark
% 250.42/31.88 fof(f1,axiom,(
% 250.42/31.88 (![X,Y]: (( ~ is_a_theorem(equivalent(X,Y))| ~ is_a_theorem(X)| is_a_theorem(Y) ) ))),
% 250.42/31.88 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 250.42/31.88 fof(f2,axiom,(
% 250.42/31.88 (![X,Y,Z,U]: (is_a_theorem(equivalent(X,equivalent(X,equivalent(equivalent(Y,Z),equivalent(equivalent(Y,U),equivalent(Z,U)))))) ))),
% 250.42/31.88 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 250.42/31.88 fof(f3,negated_conjecture,(
% 250.42/31.88 ~ is_a_theorem(equivalent(equivalent(equivalent(a,equivalent(b,c)),equivalent(e,equivalent(b,f))),equivalent(a,equivalent(e,equivalent(c,f))))) ),
% 250.42/31.88 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 250.42/31.88 fof(f4,plain,(
% 250.42/31.88 ![Y]: ((![X]: (~is_a_theorem(equivalent(X,Y))|~is_a_theorem(X)))|is_a_theorem(Y))),
% 250.42/31.88 inference(miniscoping,[status(thm)],[f1])).
% 250.42/31.88 fof(f5,plain,(
% 250.42/31.88 ![X0,X1]: (~is_a_theorem(equivalent(X0,X1))|~is_a_theorem(X0)|is_a_theorem(X1))),
% 250.42/31.88 inference(cnf_transformation,[status(thm)],[f4])).
% 250.42/31.88 fof(f6,plain,(
% 250.42/31.88 ![X0,X1,X2,X3]: (is_a_theorem(equivalent(X0,equivalent(X0,equivalent(equivalent(X1,X2),equivalent(equivalent(X1,X3),equivalent(X2,X3)))))))),
% 250.42/31.88 inference(cnf_transformation,[status(thm)],[f2])).
% 250.42/31.88 fof(f7,plain,(
% 250.42/31.88 ~is_a_theorem(equivalent(equivalent(equivalent(a,equivalent(b,c)),equivalent(e,equivalent(b,f))),equivalent(a,equivalent(e,equivalent(c,f)))))),
% 250.42/31.88 inference(cnf_transformation,[status(thm)],[f3])).
% 250.42/31.88 fof(f8,plain,(
% 250.42/31.88 ![X0,X1,X2,X3]: (~is_a_theorem(X0)|is_a_theorem(equivalent(X0,equivalent(equivalent(X1,X2),equivalent(equivalent(X1,X3),equivalent(X2,X3))))))),
% 250.42/31.88 inference(resolution,[status(thm)],[f6,f5])).
% 250.42/31.88 fof(f9,plain,(
% 250.42/31.88 ![X0,X1,X2,X3]: (~is_a_theorem(X0)|~is_a_theorem(X0)|is_a_theorem(equivalent(equivalent(X1,X2),equivalent(equivalent(X1,X3),equivalent(X2,X3)))))),
% 250.42/31.88 inference(resolution,[status(thm)],[f8,f5])).
% 250.42/31.88 fof(f10,plain,(
% 250.42/31.88 ![X0,X1,X2,X3]: (~is_a_theorem(X0)|is_a_theorem(equivalent(equivalent(X1,X2),equivalent(equivalent(X1,X3),equivalent(X2,X3)))))),
% 250.42/31.88 inference(duplicate_literals_removal,[status(thm)],[f9])).
% 250.42/31.88 fof(f11,plain,(
% 250.42/31.88 ![X0,X1,X2,X3]: (~is_a_theorem(X0)|~is_a_theorem(equivalent(X1,X2))|is_a_theorem(equivalent(equivalent(X1,X3),equivalent(X2,X3))))),
% 250.42/31.88 inference(resolution,[status(thm)],[f10,f5])).
% 250.42/31.88 fof(f12,plain,(
% 250.42/31.88 ![X0,X1,X2,X3]: (~is_a_theorem(X0)|~is_a_theorem(equivalent(X1,X2))|~is_a_theorem(equivalent(X1,X3))|is_a_theorem(equivalent(X2,X3)))),
% 250.42/31.88 inference(resolution,[status(thm)],[f11,f5])).
% 250.42/31.88 fof(f13,plain,(
% 250.42/31.88 ![X0,X1]: (~is_a_theorem(X0)|~is_a_theorem(equivalent(X1,equivalent(equivalent(a,equivalent(b,c)),equivalent(e,equivalent(b,f)))))|~is_a_theorem(equivalent(X1,equivalent(a,equivalent(e,equivalent(c,f))))))),
% 250.42/31.88 inference(resolution,[status(thm)],[f12,f7])).
% 250.42/31.88 fof(f14,plain,(
% 250.42/31.88 ![X0,X1,X2,X3]: (~is_a_theorem(X0)|~is_a_theorem(equivalent(X1,X2))|~is_a_theorem(equivalent(X1,X3))|~is_a_theorem(X2)|is_a_theorem(X3))),
% 250.42/31.88 inference(resolution,[status(thm)],[f12,f5])).
% 250.42/31.88 fof(f16,plain,(
% 250.42/31.88 ![X0,X1,X2,X3,X4,X5]: (~is_a_theorem(X0)|~is_a_theorem(equivalent(equivalent(X1,X2),X3))|~is_a_theorem(X3)|is_a_theorem(equivalent(X4,X2))|~is_a_theorem(X5)|~is_a_theorem(equivalent(X1,X4)))),
% 250.42/31.88 inference(resolution,[status(thm)],[f14,f11])).
% 250.42/31.88 fof(f24,plain,(
% 250.42/31.88 ![X0,X1,X2,X3,X4,X5]: (~is_a_theorem(X0)|~is_a_theorem(equivalent(equivalent(X1,X2),X3))|~is_a_theorem(X3)|~is_a_theorem(X4)|~is_a_theorem(equivalent(X1,X5))|~is_a_theorem(X5)|is_a_theorem(X2))),
% 250.42/31.88 inference(resolution,[status(thm)],[f16,f5])).
% 250.42/31.88 fof(f56,plain,(
% 250.42/31.88 ![X0,X1,X2,X3,X4,X5,X6,X7]: (~is_a_theorem(X0)|~is_a_theorem(equivalent(equivalent(X1,X2),X3))|~is_a_theorem(X3)|~is_a_theorem(X4)|~is_a_theorem(equivalent(equivalent(X5,X6),equivalent(equivalent(X5,X7),equivalent(X6,X7))))|is_a_theorem(X2)|~is_a_theorem(X1))),
% 250.42/31.88 inference(resolution,[status(thm)],[f24,f8])).
% 250.42/31.88 fof(f61,plain,(
% 250.42/31.88 ![X0,X1,X2,X3,X4]: (~is_a_theorem(X0)|~is_a_theorem(equivalent(equivalent(X1,X2),X3))|~is_a_theorem(X3)|~is_a_theorem(X4)|is_a_theorem(X2)|~is_a_theorem(X1))),
% 250.42/31.88 inference(forward_subsumption_resolution,[status(thm)],[f56,f10])).
% 250.42/31.88 fof(f62,plain,(
% 250.42/31.88 ![X0,X1,X2,X3,X4,X5]: (~is_a_theorem(X0)|~is_a_theorem(equivalent(equivalent(X1,X2),equivalent(X3,X2)))|~is_a_theorem(X4)|is_a_theorem(X3)|~is_a_theorem(X1)|~is_a_theorem(X5))),
% 250.42/31.88 inference(resolution,[status(thm)],[f61,f10])).
% 250.42/31.88 fof(f72,plain,(
% 250.42/31.88 ![X0,X1,X2,X3,X4,X5,X6]: (~is_a_theorem(X0)|~is_a_theorem(X1)|is_a_theorem(equivalent(X2,X3))|~is_a_theorem(X4)|~is_a_theorem(X5)|~is_a_theorem(equivalent(X4,equivalent(equivalent(X2,X6),equivalent(X3,X6)))))),
% 250.42/31.88 inference(resolution,[status(thm)],[f62,f8])).
% 250.42/31.88 fof(f114,plain,(
% 250.42/31.88 ![X0,X1,X2,X3]: (~is_a_theorem(X0)|~is_a_theorem(equivalent(X1,equivalent(equivalent(a,equivalent(b,c)),equivalent(e,equivalent(b,f)))))|~is_a_theorem(X2)|~is_a_theorem(equivalent(X3,X1))|~is_a_theorem(equivalent(X3,equivalent(a,equivalent(e,equivalent(c,f))))))),
% 250.42/31.88 inference(resolution,[status(thm)],[f13,f12])).
% 250.42/31.88 fof(f172,plain,(
% 250.42/31.88 ![X0,X1,X2,X3,X4,X5,X6]: (~is_a_theorem(X0)|~is_a_theorem(X1)|is_a_theorem(equivalent(X2,equivalent(X3,X4)))|~is_a_theorem(equivalent(X2,equivalent(equivalent(X3,X5),equivalent(X4,X5))))|~is_a_theorem(X6))),
% 250.42/31.88 inference(resolution,[status(thm)],[f72,f6])).
% 250.42/31.88 fof(f176,plain,(
% 250.42/31.88 ![X0,X1,X2,X3,X4,X5]: (~is_a_theorem(X0)|~is_a_theorem(X1)|is_a_theorem(equivalent(equivalent(X2,X3),equivalent(X2,X3)))|~is_a_theorem(X4)|~is_a_theorem(X5))),
% 250.42/31.88 inference(resolution,[status(thm)],[f172,f10])).
% 250.42/31.88 fof(f191,plain,(
% 250.42/31.88 ![X0,X1,X2]: (~is_a_theorem(X0)|is_a_theorem(equivalent(equivalent(X1,X2),equivalent(X1,X2))))),
% 250.42/31.88 inference(resolution,[status(thm)],[f176,f6])).
% 250.42/31.88 fof(f227,plain,(
% 250.42/31.88 ![X0,X1]: (is_a_theorem(equivalent(equivalent(X0,X1),equivalent(X0,X1))))),
% 250.42/31.88 inference(resolution,[status(thm)],[f191,f6])).
% 250.42/31.88 fof(f233,plain,(
% 250.42/31.88 ![X0,X1,X2,X3,X4,X5]: (~is_a_theorem(X0)|~is_a_theorem(X1)|is_a_theorem(equivalent(equivalent(equivalent(X2,X3),equivalent(X4,X3)),equivalent(X2,X4)))|~is_a_theorem(X5))),
% 250.42/31.88 inference(resolution,[status(thm)],[f227,f172])).
% 250.42/31.88 fof(f248,plain,(
% 250.42/31.88 ![X0,X1,X2,X3]: (~is_a_theorem(X0)|~is_a_theorem(equivalent(equivalent(X1,X2),X3))|~is_a_theorem(X3)|is_a_theorem(equivalent(X1,X2)))),
% 250.42/31.88 inference(resolution,[status(thm)],[f227,f14])).
% 250.42/31.88 fof(f250,plain,(
% 250.42/31.88 ![X0,X1,X2]: (~is_a_theorem(X0)|~is_a_theorem(equivalent(X1,equivalent(equivalent(a,equivalent(b,c)),equivalent(e,equivalent(b,f)))))|~is_a_theorem(X2)|~is_a_theorem(equivalent(equivalent(a,equivalent(e,equivalent(c,f))),X1)))),
% 250.42/31.88 inference(resolution,[status(thm)],[f114,f227])).
% 250.42/31.88 fof(f276,plain,(
% 250.42/31.88 ![X0,X1,X2,X3]: (~is_a_theorem(X0)|~is_a_theorem(X1)|~is_a_theorem(equivalent(equivalent(a,equivalent(e,equivalent(c,f))),equivalent(X2,equivalent(e,equivalent(b,f)))))|~is_a_theorem(X3)|~is_a_theorem(equivalent(X2,equivalent(a,equivalent(b,c)))))),
% 250.42/31.88 inference(resolution,[status(thm)],[f250,f11])).
% 250.42/31.88 fof(f307,plain,(
% 250.42/31.88 ![X0,X1,X2,X3,X4]: (~is_a_theorem(X0)|~is_a_theorem(equivalent(equivalent(X1,X2),equivalent(X3,X2)))|is_a_theorem(equivalent(X1,X3))|~is_a_theorem(X4))),
% 250.42/31.88 inference(resolution,[status(thm)],[f248,f10])).
% 250.42/31.88 fof(f316,plain,(
% 250.42/31.88 ![X0,X1,X2]: (~is_a_theorem(X0)|is_a_theorem(equivalent(X1,X1))|~is_a_theorem(X2))),
% 250.42/31.88 inference(resolution,[status(thm)],[f307,f227])).
% 250.42/31.88 fof(f325,plain,(
% 250.42/31.88 ![X0,X1]: (~is_a_theorem(X0)|is_a_theorem(equivalent(X1,X1)))),
% 250.42/31.88 inference(resolution,[status(thm)],[f316,f227])).
% 250.42/31.88 fof(f334,plain,(
% 250.42/31.88 ![X0]: (is_a_theorem(equivalent(X0,X0)))),
% 250.42/31.88 inference(resolution,[status(thm)],[f325,f227])).
% 250.42/31.88 fof(f366,plain,(
% 250.42/31.88 ![X0,X1,X2]: (~is_a_theorem(X0)|~is_a_theorem(equivalent(X1,X2))|~is_a_theorem(X2)|is_a_theorem(X1))),
% 250.42/31.88 inference(resolution,[status(thm)],[f334,f14])).
% 250.42/31.88 fof(f372,plain,(
% 250.42/31.88 ![X0,X1,X2,X3,X4]: (~is_a_theorem(X0)|~is_a_theorem(equivalent(X1,equivalent(equivalent(X2,X3),equivalent(equivalent(X2,X4),equivalent(X3,X4)))))|is_a_theorem(X1))),
% 250.42/31.88 inference(resolution,[status(thm)],[f366,f6])).
% 250.42/31.88 fof(f421,plain,(
% 250.42/31.88 ![X0,X1,X2,X3]: (~is_a_theorem(X0)|is_a_theorem(equivalent(equivalent(equivalent(X1,X2),equivalent(X3,X2)),equivalent(X1,X3))))),
% 250.42/31.88 inference(resolution,[status(thm)],[f233,f6])).
% 250.42/31.88 fof(f444,plain,(
% 250.42/31.88 ![X0,X1,X2]: (is_a_theorem(equivalent(equivalent(equivalent(X0,X1),equivalent(X2,X1)),equivalent(X0,X2))))),
% 250.42/31.89 inference(resolution,[status(thm)],[f421,f6])).
% 250.42/31.89 fof(f474,plain,(
% 250.42/31.89 ![X0,X1,X2]: (~is_a_theorem(equivalent(equivalent(X0,X1),equivalent(X2,X1)))|is_a_theorem(equivalent(X0,X2)))),
% 250.42/31.89 inference(resolution,[status(thm)],[f444,f5])).
% 250.42/31.89 fof(f477,plain,(
% 250.42/31.89 ![X0,X1,X2,X3]: (is_a_theorem(equivalent(X0,equivalent(X1,X2)))|~is_a_theorem(equivalent(X0,equivalent(equivalent(X1,X3),equivalent(X2,X3)))))),
% 250.42/31.89 inference(resolution,[status(thm)],[f474,f8])).
% 250.42/31.89 fof(f556,plain,(
% 250.42/31.89 ![X0,X1,X2,X3]: (is_a_theorem(equivalent(equivalent(equivalent(equivalent(X0,X1),X2),equivalent(equivalent(X3,X1),X2)),equivalent(X0,X3))))),
% 250.42/31.89 inference(resolution,[status(thm)],[f477,f444])).
% 250.42/31.89 fof(f560,plain,(
% 250.42/31.89 ![X0,X1,X2,X3]: (is_a_theorem(equivalent(equivalent(X0,equivalent(equivalent(X1,X2),equivalent(X3,X2))),equivalent(X0,equivalent(X1,X3)))))),
% 250.42/31.89 inference(resolution,[status(thm)],[f477,f6])).
% 250.42/31.89 fof(f678,plain,(
% 250.42/31.89 ![X0,X1,X2,X3,X4]: (~is_a_theorem(X0)|is_a_theorem(equivalent(equivalent(equivalent(X1,X2),X3),equivalent(equivalent(equivalent(X1,X4),equivalent(X2,X4)),X3))))),
% 250.42/31.89 inference(resolution,[status(thm)],[f372,f444])).
% 250.42/31.89 fof(f806,plain,(
% 250.42/31.89 ![X0,X1,X2,X3]: (is_a_theorem(equivalent(equivalent(equivalent(X0,X1),X2),equivalent(equivalent(equivalent(X0,X3),equivalent(X1,X3)),X2))))),
% 250.42/31.89 inference(resolution,[status(thm)],[f678,f556])).
% 250.42/31.89 fof(f824,plain,(
% 250.42/31.89 ![X0,X1,X2]: (is_a_theorem(equivalent(equivalent(X0,X1),equivalent(equivalent(X0,X2),equivalent(X1,X2)))))),
% 250.42/31.89 inference(resolution,[status(thm)],[f806,f474])).
% 250.42/31.89 fof(f896,plain,(
% 250.42/31.89 ![X0,X1,X2]: (~is_a_theorem(equivalent(X0,X1))|is_a_theorem(equivalent(equivalent(X0,X2),equivalent(X1,X2))))),
% 250.42/31.89 inference(resolution,[status(thm)],[f824,f5])).
% 250.42/31.89 fof(f899,plain,(
% 250.42/31.89 ![X0,X1,X2,X3]: (is_a_theorem(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X2,X1)),X3),equivalent(equivalent(X0,X2),X3))))),
% 250.42/31.89 inference(resolution,[status(thm)],[f896,f444])).
% 250.42/31.89 fof(f1073,plain,(
% 250.42/31.89 ![X0,X1,X2,X3]: (is_a_theorem(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X2,X1)),equivalent(X3,X2)),equivalent(X0,X3))))),
% 250.42/31.89 inference(resolution,[status(thm)],[f899,f477])).
% 250.42/31.89 fof(f1100,plain,(
% 250.42/31.89 ![X0,X1,X2,X3]: (~is_a_theorem(equivalent(equivalent(equivalent(X0,X1),equivalent(X2,X1)),X3))|is_a_theorem(equivalent(equivalent(X0,X2),X3)))),
% 250.42/31.89 inference(resolution,[status(thm)],[f899,f5])).
% 250.42/31.89 fof(f1204,plain,(
% 250.42/31.89 ![X0,X1,X2,X3]: (is_a_theorem(equivalent(equivalent(X0,equivalent(X1,X2)),equivalent(equivalent(X0,equivalent(X3,X2)),equivalent(X1,X3)))))),
% 250.42/31.89 inference(resolution,[status(thm)],[f1100,f560])).
% 250.42/31.89 fof(f6375,plain,(
% 250.42/31.89 ![X0,X1,X2]: (~is_a_theorem(X0)|~is_a_theorem(X1)|~is_a_theorem(X2)|~is_a_theorem(equivalent(equivalent(a,equivalent(equivalent(b,f),equivalent(c,f))),equivalent(a,equivalent(b,c)))))),
% 250.42/31.89 inference(resolution,[status(thm)],[f1204,f276])).
% 250.42/31.89 fof(f6489,plain,(
% 250.42/31.89 ![X0,X1,X2]: (~is_a_theorem(X0)|~is_a_theorem(X1)|~is_a_theorem(X2))),
% 250.42/31.89 inference(forward_subsumption_resolution,[status(thm)],[f6375,f560])).
% 250.42/31.89 fof(f6503,plain,(
% 250.42/31.89 ![X0]: (~is_a_theorem(X0))),
% 250.42/31.89 inference(resolution,[status(thm)],[f6489,f1073])).
% 250.42/31.89 fof(f6633,plain,(
% 250.42/31.89 $false),
% 250.42/31.89 inference(backward_subsumption_resolution,[status(thm)],[f1073,f6503])).
% 250.42/31.89 % SZS output end CNFRefutation for theBenchmark.p
% 87.01/32.06 % Elapsed time: 31.748693 seconds
% 87.01/32.06 % CPU time: 252.357817 seconds
% 87.01/32.06 % Total memory used: 1.630 GB
% 87.01/32.06 % Net memory used: 1.495 GB
%------------------------------------------------------------------------------