%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : LCL120-1 : 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 : n005.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 0.12s 0.54s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LCL120-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.03 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.34 % Computer : n005.cluster.edu
% 0.08/0.34 % Model : x86_64 x86_64
% 0.08/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.34 % Memory : 8046.5625MB
% 0.08/0.34 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Mon Sep 21 00:06:02 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.08/0.36 % Drodi V4.1.1
% 0.12/0.54 % Refutation found
% 0.12/0.54 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.12/0.54 % SZS output start CNFRefutation for theBenchmark
% 0.12/0.54 fof(f1,axiom,(
% 0.12/0.54 (![X,Y]: (( ~ is_a_theorem(equivalent(X,Y))| ~ is_a_theorem(X)| is_a_theorem(Y) ) ))),
% 0.12/0.54 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.54 fof(f2,axiom,(
% 0.12/0.54 (![X,Y,Z]: (is_a_theorem(equivalent(equivalent(equivalent(X,Y),equivalent(X,Z)),equivalent(Z,Y))) ))),
% 0.12/0.54 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.54 fof(f3,negated_conjecture,(
% 0.12/0.54 ~ is_a_theorem(equivalent(a,equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c)))) ),
% 0.12/0.54 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.54 fof(f4,plain,(
% 0.12/0.54 ![Y]: ((![X]: (~is_a_theorem(equivalent(X,Y))|~is_a_theorem(X)))|is_a_theorem(Y))),
% 0.12/0.54 inference(miniscoping,[status(thm)],[f1])).
% 0.12/0.54 fof(f5,plain,(
% 0.12/0.54 ![X0,X1]: (~is_a_theorem(equivalent(X0,X1))|~is_a_theorem(X0)|is_a_theorem(X1))),
% 0.12/0.54 inference(cnf_transformation,[status(thm)],[f4])).
% 0.12/0.54 fof(f6,plain,(
% 0.12/0.54 ![X0,X1,X2]: (is_a_theorem(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),equivalent(X2,X1))))),
% 0.12/0.54 inference(cnf_transformation,[status(thm)],[f2])).
% 0.12/0.54 fof(f7,plain,(
% 0.12/0.54 ~is_a_theorem(equivalent(a,equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c))))),
% 0.12/0.54 inference(cnf_transformation,[status(thm)],[f3])).
% 0.12/0.54 fof(f8,plain,(
% 0.12/0.54 ![X0,X1,X2]: (~is_a_theorem(equivalent(equivalent(X0,X1),equivalent(X0,X2)))|is_a_theorem(equivalent(X2,X1)))),
% 0.12/0.54 inference(resolution,[status(thm)],[f6,f5])).
% 0.12/0.54 fof(f9,plain,(
% 0.12/0.54 ![X0,X1]: (is_a_theorem(equivalent(X0,equivalent(X1,equivalent(X1,X0)))))),
% 0.12/0.54 inference(resolution,[status(thm)],[f8,f6])).
% 0.12/0.54 fof(f10,plain,(
% 0.12/0.54 ![X0,X1]: (is_a_theorem(equivalent(equivalent(X0,equivalent(X0,X1)),X1)))),
% 0.12/0.54 inference(resolution,[status(thm)],[f9,f8])).
% 0.12/0.54 fof(f11,plain,(
% 0.12/0.54 ![X0,X1]: (~is_a_theorem(X0)|is_a_theorem(equivalent(X1,equivalent(X1,X0))))),
% 0.12/0.54 inference(resolution,[status(thm)],[f9,f5])).
% 0.12/0.54 fof(f13,plain,(
% 0.12/0.54 ![X0,X1]: (~is_a_theorem(equivalent(X0,equivalent(X0,X1)))|is_a_theorem(X1))),
% 0.12/0.54 inference(resolution,[status(thm)],[f10,f5])).
% 0.12/0.54 fof(f14,plain,(
% 0.12/0.54 ![X0,X1]: (~is_a_theorem(X0)|~is_a_theorem(X1)|is_a_theorem(equivalent(X1,X0)))),
% 0.12/0.54 inference(resolution,[status(thm)],[f11,f5])).
% 0.12/0.54 fof(f15,plain,(
% 0.12/0.54 ![X0]: (is_a_theorem(equivalent(X0,X0)))),
% 0.12/0.54 inference(resolution,[status(thm)],[f13,f9])).
% 0.12/0.54 fof(f17,plain,(
% 0.12/0.54 ![X0,X1,X2]: (~is_a_theorem(equivalent(X0,X1))|~is_a_theorem(equivalent(X0,X2))|is_a_theorem(equivalent(X1,X2)))),
% 0.12/0.54 inference(resolution,[status(thm)],[f14,f8])).
% 0.12/0.54 fof(f38,plain,(
% 0.12/0.54 ![X0]: (~is_a_theorem(equivalent(X0,a))|~is_a_theorem(equivalent(X0,equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c)))))),
% 0.12/0.54 inference(resolution,[status(thm)],[f17,f7])).
% 0.12/0.54 fof(f96,plain,(
% 0.12/0.54 ![X0]: (~is_a_theorem(equivalent(equivalent(X0,equivalent(X0,a)),equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c)))))),
% 0.12/0.54 inference(resolution,[status(thm)],[f38,f10])).
% 0.12/0.54 fof(f207,plain,(
% 0.12/0.54 ![X0,X1]: (~is_a_theorem(equivalent(X0,X1))|is_a_theorem(equivalent(X1,X0)))),
% 0.12/0.54 inference(resolution,[status(thm)],[f17,f15])).
% 0.12/0.54 fof(f233,plain,(
% 0.12/0.54 ![X0,X1,X2]: (is_a_theorem(equivalent(equivalent(X0,X1),equivalent(equivalent(X2,X1),equivalent(X2,X0)))))),
% 0.12/0.54 inference(resolution,[status(thm)],[f207,f6])).
% 0.12/0.54 fof(f1012,plain,(
% 0.12/0.54 $false),
% 0.12/0.54 inference(resolution,[status(thm)],[f233,f96])).
% 0.12/0.54 % SZS output end CNFRefutation for theBenchmark.p
% 0.12/0.54 % Elapsed time: 0.183953 seconds
% 0.12/0.54 % CPU time: 1.167679 seconds
% 0.12/0.54 % Total memory used: 75.746 MB
% 0.12/0.54 % Net memory used: 72.832 MB
%------------------------------------------------------------------------------