%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : LCL108-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n019.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 0.09s 5.58s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL108-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/5.55 % Computer : n019.cluster.edu
% 0.09/5.55 % Model : x86_64 x86_64
% 0.09/5.55 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/5.55 % Memory : 8046.5625MB
% 0.09/5.55 % OS : Linux 6.8.0-71-generic
% 0.09/5.55 % CPULimit : 300
% 0.09/5.55 % WCLimit : 300
% 0.09/5.55 % DateTime : Mon Sep 21 00:05:10 UTC 2026
% 0.09/5.55 % CPUTime :
% 0.09/5.56 % Drodi V4.1.1
% 0.09/5.58 % Refutation found
% 0.09/5.58 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.09/5.58 % SZS output start CNFRefutation for theBenchmark
% 0.09/5.58 fof(f1,axiom,(
% 0.09/5.58 (![X,Y]: (( ~ is_a_theorem(equivalent(X,Y))| ~ is_a_theorem(X)| is_a_theorem(Y) ) ))),
% 0.09/5.58 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/5.58 fof(f2,axiom,(
% 0.09/5.58 (![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)))) ))),
% 0.09/5.58 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/5.58 fof(f3,negated_conjecture,(
% 0.09/5.58 ~ is_a_theorem(equivalent(equivalent(equivalent(a,b),equivalent(equivalent(b,a),c)),c)) ),
% 0.09/5.58 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/5.58 fof(f4,plain,(
% 0.09/5.58 ![Y]: ((![X]: (~is_a_theorem(equivalent(X,Y))|~is_a_theorem(X)))|is_a_theorem(Y))),
% 0.09/5.58 inference(miniscoping,[status(thm)],[f1])).
% 0.09/5.58 fof(f5,plain,(
% 0.09/5.58 ![X0,X1]: (~is_a_theorem(equivalent(X0,X1))|~is_a_theorem(X0)|is_a_theorem(X1))),
% 0.09/5.58 inference(cnf_transformation,[status(thm)],[f4])).
% 0.09/5.58 fof(f6,plain,(
% 0.09/5.58 ![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)))))),
% 0.09/5.58 inference(cnf_transformation,[status(thm)],[f2])).
% 0.09/5.58 fof(f7,plain,(
% 0.09/5.58 ~is_a_theorem(equivalent(equivalent(equivalent(a,b),equivalent(equivalent(b,a),c)),c))),
% 0.09/5.58 inference(cnf_transformation,[status(thm)],[f3])).
% 0.09/5.58 fof(f8,plain,(
% 0.09/5.58 ![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))))),
% 0.09/5.58 inference(resolution,[status(thm)],[f6,f5])).
% 0.09/5.58 fof(f9,plain,(
% 0.09/5.58 ![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))))),
% 0.09/5.58 inference(resolution,[status(thm)],[f8,f6])).
% 0.09/5.58 fof(f10,plain,(
% 0.09/5.58 ![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))))),
% 0.09/5.58 inference(resolution,[status(thm)],[f9,f8])).
% 0.09/5.58 fof(f13,plain,(
% 0.09/5.58 ![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)))),
% 0.09/5.58 inference(resolution,[status(thm)],[f10,f5])).
% 0.09/5.58 fof(f14,plain,(
% 0.09/5.58 ![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)))),
% 0.09/5.58 inference(resolution,[status(thm)],[f13,f10])).
% 0.09/5.58 fof(f18,plain,(
% 0.09/5.58 ![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))),
% 0.09/5.58 inference(resolution,[status(thm)],[f14,f5])).
% 0.09/5.58 fof(f22,plain,(
% 0.09/5.58 ![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))))),
% 0.09/5.58 inference(resolution,[status(thm)],[f18,f14])).
% 0.09/5.58 fof(f24,plain,(
% 0.09/5.58 ![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))))),
% 0.09/5.58 inference(resolution,[status(thm)],[f18,f6])).
% 0.09/5.58 fof(f33,plain,(
% 0.09/5.58 ![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)))),
% 0.09/5.59 inference(resolution,[status(thm)],[f22,f5])).
% 0.09/5.59 fof(f36,plain,(
% 0.09/5.59 ![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)))),
% 0.09/5.59 inference(resolution,[status(thm)],[f24,f5])).
% 0.09/5.59 fof(f67,plain,(
% 0.09/5.59 ![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)))),
% 0.09/5.59 inference(resolution,[status(thm)],[f33,f9])).
% 0.09/5.59 fof(f79,plain,(
% 0.09/5.59 ![X0,X1,X2]: (is_a_theorem(equivalent(equivalent(equivalent(X0,X1),equivalent(equivalent(X1,X0),X2)),X2)))),
% 0.09/5.59 inference(resolution,[status(thm)],[f36,f67])).
% 0.09/5.59 fof(f81,plain,(
% 0.09/5.59 $false),
% 0.09/5.59 inference(backward_subsumption_resolution,[status(thm)],[f7,f79])).
% 0.09/5.59 % SZS output end CNFRefutation for theBenchmark.p
% 0.14/5.61 % Elapsed time: 0.048865 seconds
% 0.14/5.61 % CPU time: 0.162633 seconds
% 0.14/5.61 % Total memory used: 47.662 MB
% 0.14/5.61 % Net memory used: 47.233 MB
%------------------------------------------------------------------------------