%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : LCL013-1 : 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 : n003.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 01:09:12 PM UTC 2026
% Result : Unsatisfiable 0.15s 0.41s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL013-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.37 % Computer : n003.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Mon Sep 21 00:01:31 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.39 % Drodi V4.1.1
% 0.15/0.41 % Refutation found
% 0.15/0.41 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.15/0.41 % SZS output start CNFRefutation for theBenchmark
% 0.15/0.41 fof(f1,axiom,(
% 0.15/0.41 (![X,Y]: (( ~ is_a_theorem(equivalent(X,Y))| ~ is_a_theorem(X)| is_a_theorem(Y) ) ))),
% 0.15/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.41 fof(f2,axiom,(
% 0.15/0.41 (![X,Y,Z]: (is_a_theorem(equivalent(X,equivalent(equivalent(Y,equivalent(X,Z)),equivalent(Z,Y)))) ))),
% 0.15/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.41 fof(f3,negated_conjecture,(
% 0.15/0.41 ~ is_a_theorem(equivalent(equivalent(equivalent(a,b),c),equivalent(b,equivalent(c,a)))) ),
% 0.15/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.41 fof(f4,plain,(
% 0.15/0.41 ![Y]: ((![X]: (~is_a_theorem(equivalent(X,Y))|~is_a_theorem(X)))|is_a_theorem(Y))),
% 0.15/0.41 inference(miniscoping,[status(thm)],[f1])).
% 0.15/0.41 fof(f5,plain,(
% 0.15/0.41 ![X0,X1]: (~is_a_theorem(equivalent(X0,X1))|~is_a_theorem(X0)|is_a_theorem(X1))),
% 0.15/0.41 inference(cnf_transformation,[status(thm)],[f4])).
% 0.15/0.41 fof(f6,plain,(
% 0.15/0.41 ![X0,X1,X2]: (is_a_theorem(equivalent(X0,equivalent(equivalent(X1,equivalent(X0,X2)),equivalent(X2,X1)))))),
% 0.15/0.41 inference(cnf_transformation,[status(thm)],[f2])).
% 0.15/0.41 fof(f7,plain,(
% 0.15/0.41 ~is_a_theorem(equivalent(equivalent(equivalent(a,b),c),equivalent(b,equivalent(c,a))))),
% 0.15/0.41 inference(cnf_transformation,[status(thm)],[f3])).
% 0.15/0.41 fof(f8,plain,(
% 0.15/0.41 ![X0,X1,X2]: (~is_a_theorem(X0)|is_a_theorem(equivalent(equivalent(X1,equivalent(X0,X2)),equivalent(X2,X1))))),
% 0.15/0.41 inference(resolution,[status(thm)],[f6,f5])).
% 0.15/0.41 fof(f9,plain,(
% 0.15/0.41 ![X0,X1,X2,X3,X4]: (is_a_theorem(equivalent(equivalent(X0,equivalent(equivalent(X1,equivalent(equivalent(X2,equivalent(X1,X3)),equivalent(X3,X2))),X4)),equivalent(X4,X0))))),
% 0.15/0.41 inference(resolution,[status(thm)],[f8,f6])).
% 0.15/0.41 fof(f10,plain,(
% 0.15/0.41 ![X0,X1,X2,X3,X4]: (~is_a_theorem(equivalent(X0,equivalent(equivalent(X1,equivalent(equivalent(X2,equivalent(X1,X3)),equivalent(X3,X2))),X4)))|is_a_theorem(equivalent(X4,X0)))),
% 0.15/0.41 inference(resolution,[status(thm)],[f9,f5])).
% 0.15/0.41 fof(f13,plain,(
% 0.15/0.41 ![X0,X1,X2]: (is_a_theorem(equivalent(equivalent(equivalent(X0,X1),X2),equivalent(X1,equivalent(X2,X0)))))),
% 0.15/0.41 inference(resolution,[status(thm)],[f10,f6])).
% 0.15/0.41 fof(f21,plain,(
% 0.15/0.41 $false),
% 0.15/0.41 inference(backward_subsumption_resolution,[status(thm)],[f7,f13])).
% 0.15/0.41 % SZS output end CNFRefutation for theBenchmark.p
% 0.15/0.44 % Elapsed time: 0.054184 seconds
% 0.15/0.44 % CPU time: 0.146538 seconds
% 0.15/0.44 % Total memory used: 32.933 MB
% 0.15/0.44 % Net memory used: 32.636 MB
%------------------------------------------------------------------------------