%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : LCL057-1 : 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 : n011.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 01:09:16 PM UTC 2026
% Result : Unsatisfiable 16.62s 2.57s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL057-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.35 % Computer : n011.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Mon Sep 21 00:02:40 UTC 2026
% 0.09/0.35 % CPUTime :
% 0.13/0.37 % Drodi V4.1.1
% 16.62/2.57 % Refutation found
% 16.62/2.57 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 16.62/2.57 % SZS output start CNFRefutation for theBenchmark
% 16.62/2.57 fof(f1,axiom,(
% 16.62/2.57 (![X,Y]: (( ~ is_a_theorem(implies(X,Y))| ~ is_a_theorem(X)| is_a_theorem(Y) ) ))),
% 16.62/2.57 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 16.62/2.57 fof(f2,axiom,(
% 16.62/2.57 (![X,Y,Z]: (is_a_theorem(implies(implies(X,Y),implies(implies(Y,Z),implies(X,Z)))) ))),
% 16.62/2.57 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 16.62/2.57 fof(f3,axiom,(
% 16.62/2.57 (![X]: (is_a_theorem(implies(implies(not(X),X),X)) ))),
% 16.62/2.57 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 16.62/2.57 fof(f4,axiom,(
% 16.62/2.57 (![X,Y]: (is_a_theorem(implies(X,implies(not(X),Y))) ))),
% 16.62/2.57 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 16.62/2.57 fof(f5,negated_conjecture,(
% 16.62/2.57 ~ is_a_theorem(implies(a,not(not(a)))) ),
% 16.62/2.57 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 16.62/2.57 fof(f6,plain,(
% 16.62/2.57 ![Y]: ((![X]: (~is_a_theorem(implies(X,Y))|~is_a_theorem(X)))|is_a_theorem(Y))),
% 16.62/2.57 inference(miniscoping,[status(thm)],[f1])).
% 16.62/2.57 fof(f7,plain,(
% 16.62/2.57 ![X0,X1]: (~is_a_theorem(implies(X0,X1))|~is_a_theorem(X0)|is_a_theorem(X1))),
% 16.62/2.57 inference(cnf_transformation,[status(thm)],[f6])).
% 16.62/2.57 fof(f8,plain,(
% 16.62/2.57 ![X0,X1,X2]: (is_a_theorem(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2)))))),
% 16.62/2.57 inference(cnf_transformation,[status(thm)],[f2])).
% 16.62/2.57 fof(f9,plain,(
% 16.62/2.57 ![X0]: (is_a_theorem(implies(implies(not(X0),X0),X0)))),
% 16.62/2.57 inference(cnf_transformation,[status(thm)],[f3])).
% 16.62/2.57 fof(f10,plain,(
% 16.62/2.57 ![X0,X1]: (is_a_theorem(implies(X0,implies(not(X0),X1))))),
% 16.62/2.57 inference(cnf_transformation,[status(thm)],[f4])).
% 16.62/2.57 fof(f11,plain,(
% 16.62/2.57 ~is_a_theorem(implies(a,not(not(a))))),
% 16.62/2.57 inference(cnf_transformation,[status(thm)],[f5])).
% 16.62/2.57 fof(f14,plain,(
% 16.62/2.57 ![X0,X1,X2]: (~is_a_theorem(implies(X0,X1))|is_a_theorem(implies(implies(X1,X2),implies(X0,X2))))),
% 16.62/2.57 inference(resolution,[status(thm)],[f8,f7])).
% 16.62/2.57 fof(f24,plain,(
% 16.62/2.57 ![X0,X1,X2]: (~is_a_theorem(implies(X0,X1))|~is_a_theorem(implies(X1,X2))|is_a_theorem(implies(X0,X2)))),
% 16.62/2.57 inference(resolution,[status(thm)],[f14,f7])).
% 16.62/2.57 fof(f97,plain,(
% 16.62/2.57 ![X0,X1]: (is_a_theorem(implies(implies(X0,X1),implies(implies(not(X0),X0),X1))))),
% 16.62/2.57 inference(resolution,[status(thm)],[f14,f9])).
% 16.62/2.57 fof(f98,plain,(
% 16.62/2.57 ![X0,X1,X2,X3]: (is_a_theorem(implies(implies(implies(implies(X0,X1),implies(X2,X1)),X3),implies(implies(X2,X0),X3))))),
% 16.62/2.57 inference(resolution,[status(thm)],[f14,f8])).
% 16.62/2.57 fof(f99,plain,(
% 16.62/2.57 ![X0,X1,X2]: (is_a_theorem(implies(implies(implies(not(X0),X1),X2),implies(X0,X2))))),
% 16.62/2.57 inference(resolution,[status(thm)],[f14,f10])).
% 16.62/2.57 fof(f117,plain,(
% 16.62/2.57 ![X0,X1]: (~is_a_theorem(implies(X0,X1))|is_a_theorem(implies(implies(not(X0),X0),X1)))),
% 16.62/2.57 inference(resolution,[status(thm)],[f97,f7])).
% 16.62/2.57 fof(f123,plain,(
% 16.62/2.57 ![X0,X1,X2]: (~is_a_theorem(implies(implies(not(X0),X1),X2))|is_a_theorem(implies(X0,X2)))),
% 16.62/2.57 inference(resolution,[status(thm)],[f99,f7])).
% 16.62/2.57 fof(f143,plain,(
% 16.62/2.57 ![X0,X1,X2]: (is_a_theorem(implies(X0,implies(implies(X1,X2),implies(not(X0),X2)))))),
% 16.62/2.57 inference(resolution,[status(thm)],[f123,f8])).
% 16.62/2.57 fof(f180,plain,(
% 16.62/2.57 ![X0,X1,X2,X3]: (~is_a_theorem(implies(X0,implies(implies(not(X1),X2),X3)))|is_a_theorem(implies(X0,implies(X1,X3))))),
% 16.62/2.57 inference(resolution,[status(thm)],[f24,f99])).
% 16.62/2.57 fof(f182,plain,(
% 16.62/2.57 ![X0,X1]: (~is_a_theorem(implies(X0,implies(not(X1),X1)))|is_a_theorem(implies(X0,X1)))),
% 16.62/2.57 inference(resolution,[status(thm)],[f24,f9])).
% 16.62/2.57 fof(f247,plain,(
% 16.62/2.57 ![X0,X1,X2]: (~is_a_theorem(X0)|is_a_theorem(implies(implies(X1,X2),implies(not(X0),X2))))),
% 16.62/2.57 inference(resolution,[status(thm)],[f143,f7])).
% 16.62/2.57 fof(f376,plain,(
% 16.62/2.57 ![X0,X1]: (is_a_theorem(implies(implies(X0,X1),X1))|~is_a_theorem(implies(not(X1),X0)))),
% 16.62/2.57 inference(resolution,[status(thm)],[f182,f14])).
% 16.62/2.57 fof(f394,plain,(
% 16.62/2.57 ![X0,X1,X2,X3]: (~is_a_theorem(implies(implies(implies(X0,X1),implies(X2,X1)),X3))|is_a_theorem(implies(implies(X2,X0),X3)))),
% 16.62/2.57 inference(resolution,[status(thm)],[f98,f7])).
% 16.62/2.57 fof(f440,plain,(
% 16.62/2.57 ![X0,X1]: (~is_a_theorem(X0)|is_a_theorem(implies(implies(X1,X0),X0)))),
% 16.62/2.57 inference(resolution,[status(thm)],[f247,f182])).
% 16.62/2.57 fof(f575,plain,(
% 16.62/2.57 ![X0,X1,X2]: (is_a_theorem(implies(X0,implies(X1,X2)))|~is_a_theorem(implies(X1,not(X0))))),
% 16.62/2.58 inference(resolution,[status(thm)],[f123,f14])).
% 16.62/2.58 fof(f576,plain,(
% 16.62/2.58 ![X0,X1]: (is_a_theorem(implies(X0,X1))|~is_a_theorem(X1))),
% 16.62/2.58 inference(resolution,[status(thm)],[f123,f440])).
% 16.62/2.58 fof(f588,plain,(
% 16.62/2.58 ![X0,X1]: (is_a_theorem(implies(X0,implies(implies(not(X1),X1),X1))))),
% 16.62/2.58 inference(resolution,[status(thm)],[f576,f9])).
% 16.62/2.58 fof(f903,plain,(
% 16.62/2.58 ![X0,X1]: (~is_a_theorem(implies(X0,X1))|~is_a_theorem(implies(not(X0),X0))|is_a_theorem(X1))),
% 16.62/2.58 inference(resolution,[status(thm)],[f117,f7])).
% 16.62/2.58 fof(f927,plain,(
% 16.62/2.58 ![X0,X1]: (is_a_theorem(implies(implies(implies(implies(not(X0),X0),X0),X1),X1)))),
% 16.62/2.58 inference(resolution,[status(thm)],[f376,f588])).
% 16.62/2.58 fof(f1039,plain,(
% 16.62/2.58 ![X0,X1]: (~is_a_theorem(implies(not(X0),not(X1)))|is_a_theorem(implies(X1,X0)))),
% 16.62/2.58 inference(resolution,[status(thm)],[f575,f182])).
% 16.62/2.58 fof(f2965,plain,(
% 16.62/2.58 ![X0,X1]: (is_a_theorem(implies(implies(X0,implies(not(X1),X1)),implies(X0,X1))))),
% 16.62/2.58 inference(resolution,[status(thm)],[f394,f927])).
% 16.62/2.58 fof(f3151,plain,(
% 16.62/2.58 ![X0,X1]: (is_a_theorem(implies(implies(not(X0),X1),implies(implies(X1,X0),X0))))),
% 16.62/2.58 inference(resolution,[status(thm)],[f2965,f394])).
% 16.62/2.58 fof(f3269,plain,(
% 16.62/2.58 ![X0,X1]: (is_a_theorem(implies(X0,implies(implies(X1,X0),X0))))),
% 16.62/2.58 inference(resolution,[status(thm)],[f3151,f123])).
% 16.62/2.58 fof(f3301,plain,(
% 16.62/2.58 ![X0,X1]: (is_a_theorem(implies(X0,implies(X1,X0))))),
% 16.62/2.58 inference(resolution,[status(thm)],[f3269,f180])).
% 16.62/2.58 fof(f3333,plain,(
% 16.62/2.58 ![X0,X1,X2]: (is_a_theorem(implies(X0,implies(X1,implies(X2,X1)))))),
% 16.62/2.58 inference(resolution,[status(thm)],[f3301,f576])).
% 16.62/2.58 fof(f3379,plain,(
% 16.62/2.58 ![X0,X1,X2]: (~is_a_theorem(implies(implies(X0,implies(X1,X0)),X2))|is_a_theorem(X2))),
% 16.62/2.58 inference(resolution,[status(thm)],[f3333,f903])).
% 16.62/2.58 fof(f5185,plain,(
% 16.62/2.58 ![X0,X1,X2]: (is_a_theorem(implies(implies(implies(X0,X1),X2),implies(X1,X2))))),
% 16.62/2.58 inference(resolution,[status(thm)],[f3379,f8])).
% 16.62/2.58 fof(f5588,plain,(
% 16.62/2.58 ![X0,X1,X2]: (~is_a_theorem(implies(implies(X0,X1),X2))|is_a_theorem(implies(X1,X2)))),
% 16.62/2.58 inference(resolution,[status(thm)],[f5185,f7])).
% 16.62/2.58 fof(f5876,plain,(
% 16.62/2.58 ![X0,X1]: (is_a_theorem(implies(X0,implies(implies(X0,X1),X1))))),
% 16.62/2.58 inference(resolution,[status(thm)],[f5588,f3151])).
% 16.62/2.58 fof(f5961,plain,(
% 16.62/2.58 ![X0,X1]: (is_a_theorem(implies(not(X0),implies(X0,X1))))),
% 16.62/2.58 inference(resolution,[status(thm)],[f5876,f180])).
% 16.62/2.58 fof(f5969,plain,(
% 16.62/2.58 ![X0]: (is_a_theorem(implies(not(not(X0)),X0)))),
% 16.62/2.58 inference(resolution,[status(thm)],[f5961,f182])).
% 16.62/2.58 fof(f5974,plain,(
% 16.62/2.58 ![X0]: (is_a_theorem(implies(X0,not(not(X0)))))),
% 16.62/2.58 inference(resolution,[status(thm)],[f5969,f1039])).
% 16.62/2.58 fof(f6008,plain,(
% 16.62/2.58 $false),
% 16.62/2.58 inference(backward_subsumption_resolution,[status(thm)],[f11,f5974])).
% 16.62/2.58 % SZS output end CNFRefutation for theBenchmark.p
% 16.62/2.60 % Elapsed time: 2.227630 seconds
% 16.62/2.60 % CPU time: 17.342601 seconds
% 16.62/2.60 % Total memory used: 170.946 MB
% 16.62/2.60 % Net memory used: 150.068 MB
%------------------------------------------------------------------------------