%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : LCL011-1 : 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 01:09:12 PM UTC 2026
% Result : Unsatisfiable 0.09s 0.39s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL011-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.36 % 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 00:01:58 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.37 % Drodi V4.1.1
% 0.09/0.39 % Refutation found
% 0.09/0.39 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.09/0.39 % SZS output start CNFRefutation for theBenchmark
% 0.09/0.39 fof(f1,axiom,(
% 0.09/0.39 (![X,Y]: (( ~ is_a_theorem(equivalent(X,Y))| ~ is_a_theorem(X)| is_a_theorem(Y) ) ))),
% 0.09/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.39 fof(f2,axiom,(
% 0.09/0.39 (![X,Y,Z]: (is_a_theorem(equivalent(equivalent(X,Y),equivalent(equivalent(Z,X),equivalent(Y,Z)))) ))),
% 0.09/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.39 fof(f3,negated_conjecture,(
% 0.09/0.39 ~ is_a_theorem(equivalent(equivalent(a,b),equivalent(equivalent(a,c),equivalent(c,b)))) ),
% 0.09/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.39 fof(f4,plain,(
% 0.09/0.39 ![Y]: ((![X]: (~is_a_theorem(equivalent(X,Y))|~is_a_theorem(X)))|is_a_theorem(Y))),
% 0.09/0.39 inference(miniscoping,[status(thm)],[f1])).
% 0.09/0.39 fof(f5,plain,(
% 0.09/0.39 ![X0,X1]: (~is_a_theorem(equivalent(X0,X1))|~is_a_theorem(X0)|is_a_theorem(X1))),
% 0.09/0.39 inference(cnf_transformation,[status(thm)],[f4])).
% 0.09/0.39 fof(f6,plain,(
% 0.09/0.39 ![X0,X1,X2]: (is_a_theorem(equivalent(equivalent(X0,X1),equivalent(equivalent(X2,X0),equivalent(X1,X2)))))),
% 0.09/0.39 inference(cnf_transformation,[status(thm)],[f2])).
% 0.09/0.39 fof(f7,plain,(
% 0.09/0.39 ~is_a_theorem(equivalent(equivalent(a,b),equivalent(equivalent(a,c),equivalent(c,b))))),
% 0.09/0.39 inference(cnf_transformation,[status(thm)],[f3])).
% 0.09/0.39 fof(f8,plain,(
% 0.09/0.39 ![X0,X1,X2]: (~is_a_theorem(equivalent(X0,X1))|is_a_theorem(equivalent(equivalent(X2,X0),equivalent(X1,X2))))),
% 0.09/0.39 inference(resolution,[status(thm)],[f6,f5])).
% 0.09/0.39 fof(f9,plain,(
% 0.09/0.39 ![X0,X1,X2,X3]: (is_a_theorem(equivalent(equivalent(X0,equivalent(X1,X2)),equivalent(equivalent(equivalent(X3,X1),equivalent(X2,X3)),X0))))),
% 0.09/0.39 inference(resolution,[status(thm)],[f8,f6])).
% 0.09/0.39 fof(f11,plain,(
% 0.09/0.39 ![X0,X1,X2,X3]: (~is_a_theorem(equivalent(X0,equivalent(X1,X2)))|is_a_theorem(equivalent(equivalent(equivalent(X3,X1),equivalent(X2,X3)),X0)))),
% 0.09/0.39 inference(resolution,[status(thm)],[f9,f5])).
% 0.09/0.39 fof(f14,plain,(
% 0.09/0.39 ![X0,X1,X2,X3,X4]: (~is_a_theorem(equivalent(X0,equivalent(X1,X2)))|is_a_theorem(equivalent(equivalent(X3,equivalent(equivalent(X4,X1),equivalent(X2,X4))),equivalent(X0,X3))))),
% 0.09/0.39 inference(resolution,[status(thm)],[f11,f8])).
% 0.09/0.39 fof(f15,plain,(
% 0.09/0.39 ![X0,X1,X2,X3]: (~is_a_theorem(equivalent(X0,equivalent(X1,X2)))|~is_a_theorem(equivalent(equivalent(X3,X1),equivalent(X2,X3)))|is_a_theorem(X0))),
% 0.09/0.39 inference(resolution,[status(thm)],[f11,f5])).
% 0.09/0.39 fof(f24,plain,(
% 0.09/0.39 ![X0,X1,X2,X3]: (~is_a_theorem(equivalent(X0,equivalent(equivalent(X1,X2),equivalent(equivalent(X3,X1),equivalent(X2,X3)))))|is_a_theorem(X0))),
% 0.09/0.39 inference(resolution,[status(thm)],[f15,f9])).
% 0.09/0.39 fof(f36,plain,(
% 0.09/0.39 ![X0,X1]: (is_a_theorem(equivalent(X0,equivalent(X1,equivalent(X0,X1)))))),
% 0.09/0.39 inference(resolution,[status(thm)],[f24,f6])).
% 0.09/0.39 fof(f41,plain,(
% 0.09/0.39 ![X0,X1,X2,X3,X4]: (~is_a_theorem(equivalent(X0,equivalent(X1,X2)))|~is_a_theorem(equivalent(X3,equivalent(equivalent(X4,X1),equivalent(X2,X4))))|is_a_theorem(equivalent(X0,X3)))),
% 0.09/0.39 inference(resolution,[status(thm)],[f14,f5])).
% 0.09/0.39 fof(f77,plain,(
% 0.09/0.39 ![X0]: (is_a_theorem(equivalent(X0,X0)))),
% 0.09/0.39 inference(resolution,[status(thm)],[f36,f24])).
% 0.09/0.39 fof(f103,plain,(
% 0.09/0.39 ![X0,X1]: (is_a_theorem(equivalent(equivalent(X0,X1),equivalent(X1,X0))))),
% 0.09/0.39 inference(resolution,[status(thm)],[f77,f8])).
% 0.09/0.39 fof(f149,plain,(
% 0.09/0.39 ![X0,X1,X2]: (~is_a_theorem(equivalent(equivalent(a,b),equivalent(X0,X1)))|~is_a_theorem(equivalent(equivalent(equivalent(a,c),equivalent(c,b)),equivalent(equivalent(X2,X0),equivalent(X1,X2)))))),
% 0.09/0.39 inference(resolution,[status(thm)],[f41,f7])).
% 0.09/0.39 fof(f311,plain,(
% 0.09/0.39 ~is_a_theorem(equivalent(equivalent(a,b),equivalent(b,a)))),
% 0.09/0.39 inference(resolution,[status(thm)],[f149,f103])).
% 0.09/0.39 fof(f315,plain,(
% 0.09/0.39 $false),
% 0.09/0.39 inference(forward_subsumption_resolution,[status(thm)],[f311,f103])).
% 0.09/0.39 % SZS output end CNFRefutation for theBenchmark.p
% 0.09/0.42 % Elapsed time: 0.048031 seconds
% 0.09/0.42 % CPU time: 0.186596 seconds
% 0.09/0.42 % Total memory used: 46.044 MB
% 0.09/0.42 % Net memory used: 45.584 MB
%------------------------------------------------------------------------------