%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : LCL107-1 : 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 : 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 01:09:22 PM UTC 2026
% Result : Unsatisfiable 0.10s 0.42s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL107-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.36 % 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 00:04:51 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 % Drodi V4.1.1
% 0.10/0.42 % Refutation found
% 0.10/0.42 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.10/0.42 % SZS output start CNFRefutation for theBenchmark
% 0.10/0.42 fof(f1,axiom,(
% 0.10/0.42 (![X,Y]: (( ~ is_a_theorem(equivalent(X,Y))| ~ is_a_theorem(X)| is_a_theorem(Y) ) ))),
% 0.10/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.42 fof(f2,axiom,(
% 0.10/0.42 (![X,Y,Z,U,V,W,V6]: (is_a_theorem(equivalent(equivalent(equivalent(equivalent(X,Y),Z),equivalent(equivalent(U,V),equivalent(equivalent(equivalent(W,V),equivalent(W,U)),V6))),equivalent(Z,equivalent(equivalent(Y,X),V6)))) ))),
% 0.10/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.42 fof(f3,negated_conjecture,(
% 0.10/0.42 ~ is_a_theorem(equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))) ),
% 0.10/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.42 fof(f4,plain,(
% 0.10/0.42 ![Y]: ((![X]: (~is_a_theorem(equivalent(X,Y))|~is_a_theorem(X)))|is_a_theorem(Y))),
% 0.10/0.42 inference(miniscoping,[status(thm)],[f1])).
% 0.10/0.42 fof(f5,plain,(
% 0.10/0.42 ![X0,X1]: (~is_a_theorem(equivalent(X0,X1))|~is_a_theorem(X0)|is_a_theorem(X1))),
% 0.10/0.42 inference(cnf_transformation,[status(thm)],[f4])).
% 0.10/0.42 fof(f6,plain,(
% 0.10/0.42 ![X0,X1,X2,X3,X4,X5,X6]: (is_a_theorem(equivalent(equivalent(equivalent(equivalent(X0,X1),X2),equivalent(equivalent(X3,X4),equivalent(equivalent(equivalent(X5,X4),equivalent(X5,X3)),X6))),equivalent(X2,equivalent(equivalent(X1,X0),X6)))))),
% 0.10/0.42 inference(cnf_transformation,[status(thm)],[f2])).
% 0.10/0.42 fof(f7,plain,(
% 0.10/0.42 ~is_a_theorem(equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))),
% 0.10/0.42 inference(cnf_transformation,[status(thm)],[f3])).
% 0.10/0.42 fof(f8,plain,(
% 0.10/0.42 ![X0,X1,X2,X3,X4,X5,X6]: (~is_a_theorem(equivalent(equivalent(equivalent(X0,X1),X2),equivalent(equivalent(X3,X4),equivalent(equivalent(equivalent(X5,X4),equivalent(X5,X3)),X6))))|is_a_theorem(equivalent(X2,equivalent(equivalent(X1,X0),X6))))),
% 0.10/0.42 inference(resolution,[status(thm)],[f6,f5])).
% 0.10/0.42 fof(f9,plain,(
% 0.10/0.42 ![X0,X1,X2,X3,X4,X5,X6]: (is_a_theorem(equivalent(equivalent(equivalent(X0,X1),equivalent(equivalent(equivalent(X2,X1),equivalent(X2,X0)),X3)),equivalent(equivalent(equivalent(X4,X5),equivalent(equivalent(X6,X4),equivalent(X6,X5))),X3))))),
% 0.10/0.42 inference(resolution,[status(thm)],[f8,f6])).
% 0.10/0.42 fof(f10,plain,(
% 0.10/0.42 ![X0,X1,X2,X3,X4,X5,X6,X7]: (is_a_theorem(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),equivalent(equivalent(equivalent(X3,equivalent(equivalent(X4,X5),equivalent(X4,X6))),equivalent(X3,equivalent(X5,X6))),X7)),equivalent(equivalent(X1,X2),X7))))),
% 0.10/0.42 inference(resolution,[status(thm)],[f9,f8])).
% 0.10/0.42 fof(f12,plain,(
% 0.10/0.42 ![X0,X1,X2,X3,X4,X5,X6,X7,X8]: (is_a_theorem(equivalent(equivalent(equivalent(equivalent(X0,equivalent(equivalent(X1,X2),equivalent(X1,X3))),equivalent(X0,equivalent(X2,X3))),equivalent(equivalent(equivalent(X4,X5),equivalent(X4,X6)),X7)),equivalent(equivalent(equivalent(X8,X5),equivalent(X8,X6)),X7))))),
% 0.10/0.42 inference(resolution,[status(thm)],[f10,f8])).
% 0.10/0.42 fof(f13,plain,(
% 0.10/0.42 ![X0,X1,X2,X3,X4,X5,X6,X7]: (~is_a_theorem(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),equivalent(equivalent(equivalent(X3,equivalent(equivalent(X4,X5),equivalent(X4,X6))),equivalent(X3,equivalent(X5,X6))),X7)))|is_a_theorem(equivalent(equivalent(X1,X2),X7)))),
% 0.10/0.42 inference(resolution,[status(thm)],[f10,f5])).
% 0.10/0.42 fof(f14,plain,(
% 0.10/0.42 ![X0,X1,X2,X3,X4,X5]: (is_a_theorem(equivalent(equivalent(equivalent(equivalent(X0,equivalent(equivalent(X1,equivalent(X2,X3)),equivalent(X1,equivalent(X2,X4)))),equivalent(X0,equivalent(X3,X4))),X5),X5)))),
% 0.10/0.42 inference(resolution,[status(thm)],[f13,f10])).
% 0.10/0.42 fof(f18,plain,(
% 0.10/0.42 ![X0,X1,X2,X3,X4,X5]: (~is_a_theorem(equivalent(equivalent(equivalent(X0,equivalent(equivalent(X1,equivalent(X2,X3)),equivalent(X1,equivalent(X2,X4)))),equivalent(X0,equivalent(X3,X4))),X5))|is_a_theorem(X5))),
% 0.10/0.42 inference(resolution,[status(thm)],[f14,f5])).
% 0.10/0.42 fof(f22,plain,(
% 0.10/0.42 ![X0,X1,X2,X3,X4,X5]: (is_a_theorem(equivalent(equivalent(equivalent(X0,equivalent(X1,X2)),equivalent(equivalent(X3,equivalent(X4,X0)),equivalent(X3,equivalent(X4,equivalent(X1,X5))))),equivalent(X2,X5))))),
% 0.10/0.42 inference(resolution,[status(thm)],[f18,f14])).
% 0.10/0.42 fof(f24,plain,(
% 0.10/0.42 ![X0,X1,X2,X3,X4,X5]: (is_a_theorem(equivalent(equivalent(equivalent(X0,equivalent(X1,equivalent(equivalent(X2,X3),equivalent(X2,X4)))),equivalent(X0,equivalent(X1,X5))),equivalent(equivalent(X3,X4),X5))))),
% 0.10/0.42 inference(resolution,[status(thm)],[f18,f6])).
% 0.10/0.42 fof(f33,plain,(
% 0.10/0.42 ![X0,X1,X2,X3,X4,X5]: (~is_a_theorem(equivalent(equivalent(X0,equivalent(X1,X2)),equivalent(equivalent(X3,equivalent(X4,X0)),equivalent(X3,equivalent(X4,equivalent(X1,X5))))))|is_a_theorem(equivalent(X2,X5)))),
% 0.10/0.42 inference(resolution,[status(thm)],[f22,f5])).
% 0.10/0.42 fof(f36,plain,(
% 0.10/0.42 ![X0,X1,X2,X3,X4,X5]: (~is_a_theorem(equivalent(equivalent(X0,equivalent(X1,equivalent(equivalent(X2,X3),equivalent(X2,X4)))),equivalent(X0,equivalent(X1,X5))))|is_a_theorem(equivalent(equivalent(X3,X4),X5)))),
% 0.10/0.42 inference(resolution,[status(thm)],[f24,f5])).
% 0.10/0.42 fof(f67,plain,(
% 0.10/0.42 ![X0,X1,X2,X3,X4]: (is_a_theorem(equivalent(equivalent(equivalent(X0,X1),equivalent(equivalent(X2,X0),equivalent(equivalent(equivalent(X3,X1),equivalent(X3,X2)),X4))),X4)))),
% 0.10/0.42 inference(resolution,[status(thm)],[f33,f9])).
% 0.10/0.42 fof(f76,plain,(
% 0.10/0.42 ![X0,X1,X2,X3,X4]: (is_a_theorem(equivalent(equivalent(equivalent(X0,equivalent(X1,X2)),X3),equivalent(equivalent(X0,equivalent(equivalent(X4,X1),equivalent(X4,X2))),X3))))),
% 0.10/0.42 inference(resolution,[status(thm)],[f36,f12])).
% 0.10/0.42 fof(f79,plain,(
% 0.10/0.42 ![X0,X1,X2]: (is_a_theorem(equivalent(equivalent(equivalent(X0,X1),equivalent(equivalent(X1,X0),X2)),X2)))),
% 0.10/0.42 inference(resolution,[status(thm)],[f36,f67])).
% 0.10/0.42 fof(f83,plain,(
% 0.10/0.42 ![X0,X1,X2]: (~is_a_theorem(equivalent(equivalent(X0,X1),equivalent(equivalent(X1,X0),X2)))|is_a_theorem(X2))),
% 0.10/0.42 inference(resolution,[status(thm)],[f79,f5])).
% 0.10/0.42 fof(f101,plain,(
% 0.10/0.42 ![X0]: (is_a_theorem(equivalent(X0,X0)))),
% 0.10/0.42 inference(resolution,[status(thm)],[f76,f83])).
% 0.10/0.42 fof(f107,plain,(
% 0.10/0.42 ![X0,X1,X2,X3]: (is_a_theorem(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),X3),equivalent(equivalent(X1,X2),X3))))),
% 0.10/0.42 inference(resolution,[status(thm)],[f101,f8])).
% 0.10/0.42 fof(f108,plain,(
% 0.10/0.42 ![X0,X1,X2]: (is_a_theorem(equivalent(equivalent(X0,X1),equivalent(equivalent(X2,X0),equivalent(X2,X1)))))),
% 0.10/0.42 inference(resolution,[status(thm)],[f101,f36])).
% 0.10/0.42 fof(f115,plain,(
% 0.10/0.42 ![X0,X1,X2]: (~is_a_theorem(equivalent(X0,X1))|is_a_theorem(equivalent(equivalent(X2,X0),equivalent(X2,X1))))),
% 0.10/0.42 inference(resolution,[status(thm)],[f108,f5])).
% 0.10/0.42 fof(f124,plain,(
% 0.10/0.42 ![X0,X1,X2]: (~is_a_theorem(equivalent(X0,X1))|~is_a_theorem(equivalent(X2,X0))|is_a_theorem(equivalent(X2,X1)))),
% 0.10/0.42 inference(resolution,[status(thm)],[f115,f5])).
% 0.10/0.42 fof(f127,plain,(
% 0.10/0.42 ![X0]: (~is_a_theorem(equivalent(X0,equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))|~is_a_theorem(equivalent(equivalent(equivalent(a,b),c),X0)))),
% 0.10/0.42 inference(resolution,[status(thm)],[f124,f7])).
% 0.10/0.42 fof(f185,plain,(
% 0.10/0.42 ![X0]: (~is_a_theorem(equivalent(equivalent(equivalent(X0,equivalent(a,b)),equivalent(X0,c)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))))),
% 0.10/0.42 inference(resolution,[status(thm)],[f127,f108])).
% 0.10/0.42 fof(f208,plain,(
% 0.10/0.42 $false),
% 0.10/0.42 inference(resolution,[status(thm)],[f107,f185])).
% 0.10/0.42 % SZS output end CNFRefutation for theBenchmark.p
% 0.10/0.44 % Elapsed time: 0.066836 seconds
% 0.10/0.44 % CPU time: 0.339372 seconds
% 0.10/0.44 % Total memory used: 57.723 MB
% 0.10/0.44 % Net memory used: 57.305 MB
%------------------------------------------------------------------------------