%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : LCL010-1 : 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 : n007.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 0.13s 0.48s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL010-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n007.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 : Sun Sep 20 23:57:50 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.37 % Drodi V4.1.1
% 0.13/0.48 % Refutation found
% 0.13/0.48 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.13/0.48 % SZS output start CNFRefutation for theBenchmark
% 0.13/0.48 fof(f1,axiom,(
% 0.13/0.48 (![X,Y]: (( ~ is_a_theorem(equivalent(X,Y))| ~ is_a_theorem(X)| is_a_theorem(Y) ) ))),
% 0.13/0.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.48 fof(f2,axiom,(
% 0.13/0.48 (![X,Y,Z]: (is_a_theorem(equivalent(equivalent(X,Y),equivalent(equivalent(X,Z),equivalent(Z,Y)))) ))),
% 0.13/0.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.48 fof(f3,negated_conjecture,(
% 0.13/0.48 ~ is_a_theorem(equivalent(equivalent(a,b),equivalent(equivalent(c,b),equivalent(a,c)))) ),
% 0.13/0.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.48 fof(f4,plain,(
% 0.13/0.48 ![Y]: ((![X]: (~is_a_theorem(equivalent(X,Y))|~is_a_theorem(X)))|is_a_theorem(Y))),
% 0.13/0.48 inference(miniscoping,[status(thm)],[f1])).
% 0.13/0.48 fof(f5,plain,(
% 0.13/0.48 ![X0,X1]: (~is_a_theorem(equivalent(X0,X1))|~is_a_theorem(X0)|is_a_theorem(X1))),
% 0.13/0.48 inference(cnf_transformation,[status(thm)],[f4])).
% 0.13/0.48 fof(f6,plain,(
% 0.13/0.48 ![X0,X1,X2]: (is_a_theorem(equivalent(equivalent(X0,X1),equivalent(equivalent(X0,X2),equivalent(X2,X1)))))),
% 0.13/0.48 inference(cnf_transformation,[status(thm)],[f2])).
% 0.13/0.48 fof(f7,plain,(
% 0.13/0.48 ~is_a_theorem(equivalent(equivalent(a,b),equivalent(equivalent(c,b),equivalent(a,c))))),
% 0.13/0.48 inference(cnf_transformation,[status(thm)],[f3])).
% 0.13/0.48 fof(f8,plain,(
% 0.13/0.48 ![X0,X1,X2]: (~is_a_theorem(equivalent(X0,X1))|is_a_theorem(equivalent(equivalent(X0,X2),equivalent(X2,X1))))),
% 0.13/0.48 inference(resolution,[status(thm)],[f6,f5])).
% 0.13/0.48 fof(f9,plain,(
% 0.13/0.48 ![X0,X1,X2,X3]: (is_a_theorem(equivalent(equivalent(equivalent(X0,X1),X2),equivalent(X2,equivalent(equivalent(X0,X3),equivalent(X3,X1))))))),
% 0.13/0.48 inference(resolution,[status(thm)],[f8,f6])).
% 0.13/0.48 fof(f11,plain,(
% 0.13/0.48 ![X0,X1,X2,X3]: (~is_a_theorem(equivalent(equivalent(X0,X1),X2))|is_a_theorem(equivalent(X2,equivalent(equivalent(X0,X3),equivalent(X3,X1)))))),
% 0.13/0.48 inference(resolution,[status(thm)],[f9,f5])).
% 0.13/0.48 fof(f13,plain,(
% 0.13/0.48 ![X0,X1,X2,X3]: (is_a_theorem(equivalent(equivalent(equivalent(X0,X1),equivalent(X1,X2)),equivalent(equivalent(X0,X3),equivalent(X3,X2)))))),
% 0.13/0.48 inference(resolution,[status(thm)],[f11,f6])).
% 0.13/0.48 fof(f14,plain,(
% 0.13/0.48 ![X0,X1,X2,X3,X4]: (is_a_theorem(equivalent(equivalent(equivalent(X0,X1),equivalent(X1,X2)),equivalent(equivalent(equivalent(X0,X3),X4),equivalent(X4,equivalent(X3,X2))))))),
% 0.13/0.48 inference(resolution,[status(thm)],[f13,f11])).
% 0.13/0.48 fof(f16,plain,(
% 0.13/0.48 ![X0,X1,X2,X3]: (~is_a_theorem(equivalent(equivalent(X0,X1),equivalent(X1,X2)))|is_a_theorem(equivalent(equivalent(X0,X3),equivalent(X3,X2))))),
% 0.13/0.48 inference(resolution,[status(thm)],[f13,f5])).
% 0.13/0.48 fof(f19,plain,(
% 0.13/0.48 ![X0,X1,X2,X3]: (~is_a_theorem(equivalent(equivalent(X0,X1),equivalent(X1,X2)))|~is_a_theorem(equivalent(X0,X3))|is_a_theorem(equivalent(X3,X2)))),
% 0.13/0.48 inference(resolution,[status(thm)],[f16,f5])).
% 0.13/0.48 fof(f20,plain,(
% 0.13/0.48 ![X0,X1]: (~is_a_theorem(equivalent(equivalent(X0,X1),equivalent(X1,equivalent(equivalent(c,b),equivalent(a,c)))))|~is_a_theorem(equivalent(X0,equivalent(a,b))))),
% 0.13/0.48 inference(resolution,[status(thm)],[f19,f7])).
% 0.13/0.48 fof(f23,plain,(
% 0.13/0.48 ![X0,X1,X2,X3]: (~is_a_theorem(equivalent(equivalent(X0,X1),equivalent(X1,X2)))|~is_a_theorem(equivalent(X0,X3))|~is_a_theorem(X3)|is_a_theorem(X2))),
% 0.13/0.48 inference(resolution,[status(thm)],[f19,f5])).
% 0.13/0.48 fof(f26,plain,(
% 0.13/0.48 ![X0,X1,X2,X3,X4]: (~is_a_theorem(equivalent(equivalent(equivalent(X0,X1),X2),equivalent(X2,X3)))|~is_a_theorem(equivalent(equivalent(X0,X4),equivalent(X4,X1)))|is_a_theorem(X3))),
% 0.13/0.48 inference(resolution,[status(thm)],[f23,f6])).
% 0.13/0.48 fof(f69,plain,(
% 0.13/0.48 ![X0,X1,X2,X3]: (~is_a_theorem(equivalent(equivalent(equivalent(equivalent(X0,X0),equivalent(X1,X1)),X2),equivalent(X2,X3)))|is_a_theorem(X3))),
% 0.13/0.48 inference(resolution,[status(thm)],[f26,f13])).
% 0.13/0.48 fof(f81,plain,(
% 0.13/0.48 ![X0,X1]: (is_a_theorem(equivalent(X0,equivalent(equivalent(X1,X1),X0))))),
% 0.13/0.48 inference(resolution,[status(thm)],[f69,f14])).
% 0.13/0.48 fof(f82,plain,(
% 0.13/0.48 ![X0]: (is_a_theorem(equivalent(X0,X0)))),
% 0.13/0.48 inference(resolution,[status(thm)],[f69,f13])).
% 0.13/0.48 fof(f108,plain,(
% 0.13/0.48 ![X0,X1]: (~is_a_theorem(X0)|is_a_theorem(equivalent(equivalent(X1,X1),X0)))),
% 0.13/0.48 inference(resolution,[status(thm)],[f81,f5])).
% 0.13/0.48 fof(f137,plain,(
% 0.13/0.49 ![X0]: (~is_a_theorem(equivalent(equivalent(equivalent(a,b),X0),equivalent(X0,equivalent(equivalent(c,b),equivalent(a,c))))))),
% 0.13/0.49 inference(resolution,[status(thm)],[f20,f82])).
% 0.13/0.49 fof(f170,plain,(
% 0.13/0.49 ![X0,X1,X2]: (~is_a_theorem(X0)|is_a_theorem(equivalent(X0,equivalent(equivalent(X1,X2),equivalent(X2,X1)))))),
% 0.13/0.49 inference(resolution,[status(thm)],[f108,f11])).
% 0.13/0.49 fof(f580,plain,(
% 0.13/0.49 ~is_a_theorem(equivalent(equivalent(a,b),equivalent(equivalent(a,c),equivalent(c,b))))),
% 0.13/0.49 inference(resolution,[status(thm)],[f170,f137])).
% 0.13/0.49 fof(f596,plain,(
% 0.13/0.49 $false),
% 0.13/0.49 inference(forward_subsumption_resolution,[status(thm)],[f580,f6])).
% 0.13/0.49 % SZS output end CNFRefutation for theBenchmark.p
% 0.13/0.51 % Elapsed time: 0.134546 seconds
% 0.13/0.51 % CPU time: 0.844398 seconds
% 0.13/0.51 % Total memory used: 72.373 MB
% 0.13/0.51 % Net memory used: 69.704 MB
%------------------------------------------------------------------------------