%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : LCL256-1 : TPTP v9.3.1. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n026.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 01:09:44 PM UTC 2026
% Result : Unsatisfiable 19.98s 8.05s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : LCL256-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.06 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/5.45 % Computer : n026.cluster.edu
% 0.18/5.45 % Model : x86_64 x86_64
% 0.18/5.45 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/5.45 % Memory : 8046.5625MB
% 0.18/5.45 % OS : Linux 6.8.0-71-generic
% 0.18/5.45 % CPULimit : 300
% 0.18/5.45 % WCLimit : 300
% 0.18/5.45 % DateTime : Mon Sep 21 00:19:13 UTC 2026
% 0.18/5.45 % CPUTime :
% 0.18/5.46 % Drodi V4.1.1
% 19.98/8.05 % Refutation found
% 19.98/8.05 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 19.98/8.05 % SZS output start CNFRefutation for theBenchmark
% 19.98/8.05 fof(f1,axiom,(
% 19.98/8.05 (![X,Y]: (( ~ is_a_theorem(implies(X,Y))| ~ is_a_theorem(X)| is_a_theorem(Y) ) ))),
% 19.98/8.05 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 19.98/8.05 fof(f2,axiom,(
% 19.98/8.05 (![X,Y,Z]: (is_a_theorem(implies(implies(X,Y),implies(implies(Y,Z),implies(X,Z)))) ))),
% 19.98/8.05 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 19.98/8.05 fof(f3,axiom,(
% 19.98/8.05 (![X]: (is_a_theorem(implies(implies(not(X),X),X)) ))),
% 19.98/8.05 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 19.98/8.05 fof(f4,axiom,(
% 19.98/8.05 (![X,Y]: (is_a_theorem(implies(X,implies(not(X),Y))) ))),
% 19.98/8.05 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 19.98/8.05 fof(f5,negated_conjecture,(
% 19.98/8.05 ~ is_a_theorem(not(not(implies(p,p)))) ),
% 19.98/8.05 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 19.98/8.05 fof(f6,plain,(
% 19.98/8.05 ![Y]: ((![X]: (~is_a_theorem(implies(X,Y))|~is_a_theorem(X)))|is_a_theorem(Y))),
% 19.98/8.05 inference(miniscoping,[status(thm)],[f1])).
% 19.98/8.05 fof(f7,plain,(
% 19.98/8.05 ![X0,X1]: (~is_a_theorem(implies(X0,X1))|~is_a_theorem(X0)|is_a_theorem(X1))),
% 19.98/8.05 inference(cnf_transformation,[status(thm)],[f6])).
% 19.98/8.05 fof(f8,plain,(
% 19.98/8.05 ![X0,X1,X2]: (is_a_theorem(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2)))))),
% 19.98/8.05 inference(cnf_transformation,[status(thm)],[f2])).
% 19.98/8.05 fof(f9,plain,(
% 19.98/8.05 ![X0]: (is_a_theorem(implies(implies(not(X0),X0),X0)))),
% 19.98/8.05 inference(cnf_transformation,[status(thm)],[f3])).
% 19.98/8.05 fof(f10,plain,(
% 19.98/8.05 ![X0,X1]: (is_a_theorem(implies(X0,implies(not(X0),X1))))),
% 19.98/8.05 inference(cnf_transformation,[status(thm)],[f4])).
% 19.98/8.05 fof(f11,plain,(
% 19.98/8.05 ~is_a_theorem(not(not(implies(p,p))))),
% 19.98/8.05 inference(cnf_transformation,[status(thm)],[f5])).
% 19.98/8.05 fof(f12,plain,(
% 19.98/8.05 ![X0,X1,X2]: (~is_a_theorem(implies(X0,X1))|is_a_theorem(implies(implies(X1,X2),implies(X0,X2))))),
% 19.98/8.05 inference(resolution,[status(thm)],[f8,f7])).
% 19.98/8.05 fof(f14,plain,(
% 19.98/8.05 ![X0,X1]: (~is_a_theorem(X0)|is_a_theorem(implies(not(X0),X1)))),
% 19.98/8.05 inference(resolution,[status(thm)],[f10,f7])).
% 19.98/8.05 fof(f15,plain,(
% 19.98/8.05 ![X0,X1]: (is_a_theorem(implies(implies(X0,X1),implies(implies(not(X0),X0),X1))))),
% 19.98/8.05 inference(resolution,[status(thm)],[f12,f9])).
% 19.98/8.05 fof(f16,plain,(
% 19.98/8.05 ![X0,X1,X2,X3]: (is_a_theorem(implies(implies(implies(implies(X0,X1),implies(X2,X1)),X3),implies(implies(X2,X0),X3))))),
% 19.98/8.05 inference(resolution,[status(thm)],[f12,f8])).
% 19.98/8.05 fof(f17,plain,(
% 19.98/8.05 ![X0,X1,X2]: (is_a_theorem(implies(implies(implies(not(X0),X1),X2),implies(X0,X2))))),
% 19.98/8.05 inference(resolution,[status(thm)],[f12,f10])).
% 19.98/8.05 fof(f21,plain,(
% 19.98/8.05 ![X0,X1,X2]: (is_a_theorem(implies(implies(implies(implies(not(X0),X0),X1),X2),implies(implies(X0,X1),X2))))),
% 19.98/8.05 inference(resolution,[status(thm)],[f15,f12])).
% 19.98/8.05 fof(f22,plain,(
% 19.98/8.05 ![X0,X1]: (~is_a_theorem(implies(X0,X1))|is_a_theorem(implies(implies(not(X0),X0),X1)))),
% 19.98/8.05 inference(resolution,[status(thm)],[f15,f7])).
% 19.98/8.05 fof(f33,plain,(
% 19.98/8.05 ![X0,X1,X2,X3]: (~is_a_theorem(implies(implies(implies(X0,X1),implies(X2,X1)),X3))|is_a_theorem(implies(implies(X2,X0),X3)))),
% 19.98/8.05 inference(resolution,[status(thm)],[f16,f7])).
% 19.98/8.05 fof(f35,plain,(
% 19.98/8.05 ![X0,X1,X2,X3]: (is_a_theorem(implies(implies(implies(X0,X1),X2),implies(implies(implies(not(X0),X3),X1),X2))))),
% 19.98/8.05 inference(resolution,[status(thm)],[f17,f12])).
% 19.98/8.05 fof(f36,plain,(
% 19.98/8.05 ![X0,X1,X2]: (~is_a_theorem(implies(implies(not(X0),X1),X2))|is_a_theorem(implies(X0,X2)))),
% 19.98/8.05 inference(resolution,[status(thm)],[f17,f7])).
% 19.98/8.05 fof(f42,plain,(
% 19.98/8.05 ![X0,X1,X2,X3]: (is_a_theorem(implies(implies(implies(implies(X0,X1),X2),X3),implies(implies(implies(implies(not(X0),X0),X1),X2),X3))))),
% 19.98/8.05 inference(resolution,[status(thm)],[f21,f12])).
% 19.98/8.05 fof(f43,plain,(
% 19.98/8.05 ![X0,X1,X2]: (~is_a_theorem(implies(implies(implies(not(X0),X0),X1),X2))|is_a_theorem(implies(implies(X0,X1),X2)))),
% 19.98/8.05 inference(resolution,[status(thm)],[f21,f7])).
% 19.98/8.05 fof(f92,plain,(
% 19.98/8.05 ![X0,X1,X2]: (is_a_theorem(implies(implies(X0,not(X1)),implies(X1,implies(X0,X2)))))),
% 19.98/8.05 inference(resolution,[status(thm)],[f33,f17])).
% 19.98/8.05 fof(f93,plain,(
% 19.98/8.05 ![X0,X1,X2]: (is_a_theorem(implies(implies(X0,implies(not(X1),X1)),implies(implies(X1,X2),implies(X0,X2)))))),
% 19.98/8.05 inference(resolution,[status(thm)],[f33,f21])).
% 19.98/8.05 fof(f102,plain,(
% 19.98/8.05 ![X0]: (is_a_theorem(implies(X0,X0)))),
% 19.98/8.05 inference(resolution,[status(thm)],[f36,f9])).
% 19.98/8.05 fof(f113,plain,(
% 19.98/8.05 ![X0,X1]: (is_a_theorem(implies(not(implies(X0,X0)),X1)))),
% 19.98/8.05 inference(resolution,[status(thm)],[f102,f14])).
% 19.98/8.05 fof(f116,plain,(
% 19.98/8.05 ![X0,X1]: (is_a_theorem(implies(implies(not(not(implies(X0,X0))),not(implies(X0,X0))),X1)))),
% 19.98/8.05 inference(resolution,[status(thm)],[f113,f22])).
% 19.98/8.05 fof(f128,plain,(
% 19.98/8.05 ![X0,X1,X2,X3,X4]: (is_a_theorem(implies(implies(implies(implies(implies(not(X0),X1),X2),X3),X4),implies(implies(implies(X0,X2),X3),X4))))),
% 19.98/8.05 inference(resolution,[status(thm)],[f35,f12])).
% 19.98/8.05 fof(f129,plain,(
% 19.98/8.05 ![X0,X1,X2,X3]: (~is_a_theorem(implies(implies(X0,X1),X2))|is_a_theorem(implies(implies(implies(not(X0),X3),X1),X2)))),
% 19.98/8.05 inference(resolution,[status(thm)],[f35,f7])).
% 19.98/8.05 fof(f152,plain,(
% 19.98/8.05 ![X0,X1,X2,X3]: (~is_a_theorem(implies(implies(implies(X0,X1),X2),X3))|is_a_theorem(implies(implies(implies(implies(not(X0),X0),X1),X2),X3)))),
% 19.98/8.05 inference(resolution,[status(thm)],[f42,f7])).
% 19.98/8.05 fof(f228,plain,(
% 19.98/8.05 ![X0,X1,X2]: (is_a_theorem(implies(X0,implies(X1,implies(not(X0),X2)))))),
% 19.98/8.05 inference(resolution,[status(thm)],[f92,f36])).
% 19.98/8.05 fof(f275,plain,(
% 19.98/8.05 ![X0,X1,X2,X3]: (is_a_theorem(implies(implies(implies(X0,implies(not(X1),X2)),X3),implies(X1,X3))))),
% 19.98/8.05 inference(resolution,[status(thm)],[f228,f12])).
% 19.98/8.05 fof(f276,plain,(
% 19.98/8.05 ![X0,X1,X2]: (~is_a_theorem(X0)|is_a_theorem(implies(X1,implies(not(X0),X2))))),
% 19.98/8.05 inference(resolution,[status(thm)],[f228,f7])).
% 19.98/8.05 fof(f333,plain,(
% 19.98/8.05 ![X0,X1,X2]: (is_a_theorem(implies(X0,implies(not(implies(X1,X1)),X2))))),
% 19.98/8.05 inference(resolution,[status(thm)],[f276,f102])).
% 19.98/8.05 fof(f340,plain,(
% 19.98/8.05 ![X0,X1,X2,X3]: (is_a_theorem(implies(implies(implies(not(implies(X0,X0)),X1),X2),implies(X3,X2))))),
% 19.98/8.05 inference(resolution,[status(thm)],[f333,f12])).
% 19.98/8.05 fof(f629,plain,(
% 19.98/8.05 ![X0,X1,X2]: (~is_a_theorem(implies(X0,implies(not(X1),X1)))|is_a_theorem(implies(implies(X1,X2),implies(X0,X2))))),
% 19.98/8.05 inference(resolution,[status(thm)],[f93,f7])).
% 19.98/8.05 fof(f783,plain,(
% 19.98/8.05 ![X0,X1,X2,X3,X4]: (~is_a_theorem(implies(implies(implies(implies(not(X0),X1),X2),X3),X4))|is_a_theorem(implies(implies(implies(X0,X2),X3),X4)))),
% 19.98/8.05 inference(resolution,[status(thm)],[f128,f7])).
% 19.98/8.05 fof(f815,plain,(
% 19.98/8.05 ![X0,X1]: (is_a_theorem(implies(implies(implies(not(not(X0)),X1),X0),X0)))),
% 19.98/8.05 inference(resolution,[status(thm)],[f129,f9])).
% 19.98/8.05 fof(f848,plain,(
% 19.98/8.05 ![X0,X1]: (~is_a_theorem(implies(implies(not(not(X0)),X1),X0))|is_a_theorem(X0))),
% 19.98/8.05 inference(resolution,[status(thm)],[f815,f7])).
% 19.98/8.05 fof(f1172,plain,(
% 19.98/8.05 ![X0,X1,X2,X3]: (~is_a_theorem(implies(implies(X0,implies(not(X1),X2)),X3))|is_a_theorem(implies(X1,X3)))),
% 19.98/8.05 inference(resolution,[status(thm)],[f275,f7])).
% 19.98/8.05 fof(f1282,plain,(
% 19.98/8.05 ![X0,X1,X2]: (is_a_theorem(implies(implies(implies(X0,X0),X1),implies(X2,X1))))),
% 19.98/8.05 inference(resolution,[status(thm)],[f340,f43])).
% 19.98/8.05 fof(f1329,plain,(
% 19.98/8.05 ![X0,X1,X2]: (~is_a_theorem(implies(implies(X0,X0),X1))|is_a_theorem(implies(X2,X1)))),
% 19.98/8.05 inference(resolution,[status(thm)],[f1282,f7])).
% 19.98/8.05 fof(f5966,plain,(
% 19.98/8.05 ![X0,X1,X2]: (is_a_theorem(implies(implies(X0,X1),implies(implies(implies(X2,X2),X0),X1))))),
% 19.98/8.05 inference(resolution,[status(thm)],[f629,f1282])).
% 19.98/8.05 fof(f6167,plain,(
% 19.98/8.05 ![X0,X1,X2]: (is_a_theorem(implies(X0,implies(implies(implies(X1,X1),X2),X2))))),
% 19.98/8.05 inference(resolution,[status(thm)],[f5966,f1329])).
% 19.98/8.05 fof(f6459,plain,(
% 19.98/8.05 ![X0,X1]: (is_a_theorem(implies(implies(implies(X0,X0),X1),X1)))),
% 19.98/8.05 inference(resolution,[status(thm)],[f6167,f848])).
% 19.98/8.05 fof(f6492,plain,(
% 19.98/8.05 ![X0,X1]: (is_a_theorem(implies(implies(implies(implies(not(X0),X0),X0),X1),X1)))),
% 19.98/8.05 inference(resolution,[status(thm)],[f6459,f152])).
% 19.98/8.05 fof(f7236,plain,(
% 19.98/8.05 ![X0,X1]: (is_a_theorem(implies(implies(X0,implies(not(X1),X1)),implies(X0,X1))))),
% 19.98/8.05 inference(resolution,[status(thm)],[f6492,f33])).
% 19.98/8.05 fof(f8473,plain,(
% 19.98/8.05 ![X0,X1]: (is_a_theorem(implies(implies(not(X0),X1),implies(implies(X1,X0),X0))))),
% 19.98/8.05 inference(resolution,[status(thm)],[f7236,f33])).
% 19.98/8.05 fof(f8476,plain,(
% 19.98/8.05 ![X0,X1]: (is_a_theorem(implies(X0,implies(X1,X0))))),
% 19.98/8.05 inference(resolution,[status(thm)],[f7236,f1172])).
% 19.98/8.05 fof(f8519,plain,(
% 19.98/8.05 ![X0,X1,X2]: (is_a_theorem(implies(implies(implies(X0,X1),X2),implies(X1,X2))))),
% 19.98/8.07 inference(resolution,[status(thm)],[f8476,f12])).
% 19.98/8.07 fof(f10145,plain,(
% 19.98/8.07 ![X0,X1,X2]: (~is_a_theorem(implies(implies(X0,X1),X2))|is_a_theorem(implies(X1,X2)))),
% 19.98/8.07 inference(resolution,[status(thm)],[f8519,f7])).
% 19.98/8.07 fof(f13297,plain,(
% 19.98/8.07 ![X0,X1]: (is_a_theorem(implies(X0,implies(implies(X0,X1),X1))))),
% 19.98/8.07 inference(resolution,[status(thm)],[f8473,f10145])).
% 19.98/8.07 fof(f13309,plain,(
% 19.98/8.07 ![X0,X1]: (~is_a_theorem(implies(not(X0),X1))|is_a_theorem(implies(implies(X1,X0),X0)))),
% 19.98/8.07 inference(resolution,[status(thm)],[f8473,f7])).
% 19.98/8.07 fof(f19716,plain,(
% 19.98/8.07 ![X0,X1]: (is_a_theorem(implies(implies(implies(implies(not(X0),X1),X1),X0),X0)))),
% 19.98/8.07 inference(resolution,[status(thm)],[f13309,f13297])).
% 19.98/8.07 fof(f24070,plain,(
% 19.98/8.07 ![X0,X1]: (is_a_theorem(implies(implies(implies(X0,X1),X0),X0)))),
% 19.98/8.07 inference(resolution,[status(thm)],[f19716,f783])).
% 19.98/8.07 fof(f24175,plain,(
% 19.98/8.07 ![X0,X1]: (~is_a_theorem(implies(implies(X0,X1),X0))|is_a_theorem(X0))),
% 19.98/8.07 inference(resolution,[status(thm)],[f24070,f7])).
% 19.98/8.07 fof(f24297,plain,(
% 19.98/8.08 ![X0]: (is_a_theorem(not(not(implies(X0,X0)))))),
% 19.98/8.08 inference(resolution,[status(thm)],[f24175,f116])).
% 19.98/8.08 fof(f24361,plain,(
% 19.98/8.08 $false),
% 19.98/8.08 inference(backward_subsumption_resolution,[status(thm)],[f11,f24297])).
% 19.98/8.08 % SZS output end CNFRefutation for theBenchmark.p
% 19.98/8.09 % Elapsed time: 2.617554 seconds
% 19.98/8.09 % CPU time: 20.454509 seconds
% 19.98/8.09 % Total memory used: 192.824 MB
% 19.98/8.09 % Net memory used: 168.619 MB
%------------------------------------------------------------------------------