%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : LCL106-1 : 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 : 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 01:09:22 PM UTC 2026
% Result : Unsatisfiable 0.09s 0.40s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LCL106-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.03 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n018.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Mon Sep 21 00:07:00 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.37 % Drodi V4.1.1
% 0.09/0.40 % Refutation found
% 0.09/0.40 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.09/0.40 % SZS output start CNFRefutation for theBenchmark
% 0.09/0.40 fof(f1,axiom,(
% 0.09/0.40 (![X,Y]: (( ~ is_a_theorem(equivalent(X,Y))| ~ is_a_theorem(X)| is_a_theorem(Y) ) ))),
% 0.09/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.40 fof(f2,axiom,(
% 0.09/0.40 (![X,Y,Z]: (is_a_theorem(equivalent(X,equivalent(equivalent(Y,Z),equivalent(equivalent(Z,Y),X)))) ))),
% 0.09/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.40 fof(f3,axiom,(
% 0.09/0.40 (![X,Y,Z]: (is_a_theorem(equivalent(equivalent(equivalent(X,Y),equivalent(X,Z)),equivalent(Y,Z))) ))),
% 0.09/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.40 fof(f4,negated_conjecture,(
% 0.09/0.40 ~ is_a_theorem(equivalent(equivalent(a,b),equivalent(equivalent(c,a),equivalent(c,b)))) ),
% 0.09/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.40 fof(f5,plain,(
% 0.09/0.40 ![Y]: ((![X]: (~is_a_theorem(equivalent(X,Y))|~is_a_theorem(X)))|is_a_theorem(Y))),
% 0.09/0.40 inference(miniscoping,[status(thm)],[f1])).
% 0.09/0.40 fof(f6,plain,(
% 0.09/0.40 ![X0,X1]: (~is_a_theorem(equivalent(X0,X1))|~is_a_theorem(X0)|is_a_theorem(X1))),
% 0.09/0.40 inference(cnf_transformation,[status(thm)],[f5])).
% 0.09/0.40 fof(f7,plain,(
% 0.09/0.40 ![X0,X1,X2]: (is_a_theorem(equivalent(X0,equivalent(equivalent(X1,X2),equivalent(equivalent(X2,X1),X0)))))),
% 0.09/0.40 inference(cnf_transformation,[status(thm)],[f2])).
% 0.09/0.40 fof(f8,plain,(
% 0.09/0.40 ![X0,X1,X2]: (is_a_theorem(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),equivalent(X1,X2))))),
% 0.09/0.40 inference(cnf_transformation,[status(thm)],[f3])).
% 0.09/0.40 fof(f9,plain,(
% 0.09/0.40 ~is_a_theorem(equivalent(equivalent(a,b),equivalent(equivalent(c,a),equivalent(c,b))))),
% 0.09/0.40 inference(cnf_transformation,[status(thm)],[f4])).
% 0.09/0.40 fof(f10,plain,(
% 0.09/0.40 ![X0,X1,X2]: (~is_a_theorem(X0)|is_a_theorem(equivalent(equivalent(X1,X2),equivalent(equivalent(X2,X1),X0))))),
% 0.09/0.40 inference(resolution,[status(thm)],[f7,f6])).
% 0.09/0.40 fof(f11,plain,(
% 0.09/0.40 ![X0,X1,X2]: (~is_a_theorem(equivalent(equivalent(X0,X1),equivalent(X0,X2)))|is_a_theorem(equivalent(X1,X2)))),
% 0.09/0.40 inference(resolution,[status(thm)],[f8,f6])).
% 0.09/0.40 fof(f12,plain,(
% 0.09/0.40 ![X0,X1,X2,X3,X4]: (is_a_theorem(equivalent(equivalent(X0,X1),equivalent(equivalent(X1,X0),equivalent(equivalent(equivalent(X2,X3),equivalent(X2,X4)),equivalent(X3,X4))))))),
% 0.09/0.40 inference(resolution,[status(thm)],[f10,f8])).
% 0.09/0.40 fof(f13,plain,(
% 0.09/0.40 ![X0,X1,X2,X3,X4]: (is_a_theorem(equivalent(equivalent(X0,X1),equivalent(equivalent(X1,X0),equivalent(X2,equivalent(equivalent(X3,X4),equivalent(equivalent(X4,X3),X2)))))))),
% 0.09/0.40 inference(resolution,[status(thm)],[f10,f7])).
% 0.09/0.40 fof(f15,plain,(
% 0.09/0.40 ![X0,X1,X2,X3,X4]: (~is_a_theorem(equivalent(X0,X1))|is_a_theorem(equivalent(equivalent(X1,X0),equivalent(equivalent(equivalent(X2,X3),equivalent(X2,X4)),equivalent(X3,X4)))))),
% 0.09/0.40 inference(resolution,[status(thm)],[f12,f6])).
% 0.09/0.40 fof(f17,plain,(
% 0.09/0.40 ![X0,X1,X2,X3,X4]: (~is_a_theorem(equivalent(X0,X1))|is_a_theorem(equivalent(equivalent(X1,X0),equivalent(X2,equivalent(equivalent(X3,X4),equivalent(equivalent(X4,X3),X2))))))),
% 0.09/0.40 inference(resolution,[status(thm)],[f13,f6])).
% 0.09/0.40 fof(f19,plain,(
% 0.09/0.40 ![X0,X1,X2,X3,X4,X5]: (is_a_theorem(equivalent(equivalent(equivalent(X0,X1),equivalent(equivalent(X2,X0),equivalent(X2,X1))),equivalent(equivalent(equivalent(X3,X4),equivalent(X3,X5)),equivalent(X4,X5)))))),
% 0.09/0.40 inference(resolution,[status(thm)],[f15,f8])).
% 0.09/0.40 fof(f23,plain,(
% 0.09/0.40 ![X0,X1,X2,X3,X4,X5]: (is_a_theorem(equivalent(equivalent(equivalent(X0,X1),equivalent(equivalent(X2,X0),equivalent(X2,X1))),equivalent(X3,equivalent(equivalent(X4,X5),equivalent(equivalent(X5,X4),X3))))))),
% 0.09/0.40 inference(resolution,[status(thm)],[f17,f8])).
% 0.09/0.40 fof(f27,plain,(
% 0.09/0.40 ![X0,X1,X2,X3]: (is_a_theorem(equivalent(equivalent(equivalent(X0,equivalent(X1,X2)),equivalent(X0,equivalent(X1,X3))),equivalent(X2,X3))))),
% 0.09/0.40 inference(resolution,[status(thm)],[f19,f11])).
% 0.09/0.40 fof(f34,plain,(
% 0.09/0.40 ![X0,X1,X2,X3]: (~is_a_theorem(equivalent(equivalent(X0,equivalent(X1,X2)),equivalent(X0,equivalent(X1,X3))))|is_a_theorem(equivalent(X2,X3)))),
% 0.09/0.40 inference(resolution,[status(thm)],[f27,f6])).
% 0.09/0.40 fof(f65,plain,(
% 0.09/0.40 ![X0,X1,X2]: (is_a_theorem(equivalent(equivalent(X0,X1),equivalent(equivalent(X2,X0),equivalent(X2,X1)))))),
% 0.09/0.40 inference(resolution,[status(thm)],[f34,f23])).
% 0.09/0.40 fof(f80,plain,(
% 0.09/0.40 $false),
% 0.09/0.40 inference(backward_subsumption_resolution,[status(thm)],[f9,f65])).
% 0.09/0.40 % SZS output end CNFRefutation for theBenchmark.p
% 0.09/0.43 % Elapsed time: 0.049526 seconds
% 0.09/0.43 % CPU time: 0.158369 seconds
% 0.09/0.43 % Total memory used: 56.344 MB
% 0.09/0.43 % Net memory used: 55.669 MB
%------------------------------------------------------------------------------