%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : LCL068-1 : TPTP v9.3.1. Bugfixed v1.2.0.
% 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 01:09:18 PM UTC 2026
% Result : Unsatisfiable 9.67s 1.74s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL068-1 : TPTP v9.3.1. Bugfixed v1.2.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.35 % Computer : n007.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.36 % CPULimit : 300
% 0.08/0.36 % WCLimit : 300
% 0.08/0.36 % DateTime : Mon Sep 21 00:00:51 UTC 2026
% 0.13/0.36 % CPUTime :
% 0.13/0.37 % Drodi V4.1.1
% 9.67/1.74 % Refutation found
% 9.67/1.74 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 9.67/1.74 % SZS output start CNFRefutation for theBenchmark
% 9.67/1.74 fof(f1,axiom,(
% 9.67/1.74 (![X,Y]: (( ~ is_a_theorem(implies(X,Y))| ~ is_a_theorem(X)| is_a_theorem(Y) ) ))),
% 9.67/1.74 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 9.67/1.74 fof(f2,axiom,(
% 9.67/1.74 (![X,Y,Z]: (is_a_theorem(implies(implies(implies(X,Y),Z),implies(Y,Z))) ))),
% 9.67/1.74 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 9.67/1.74 fof(f3,axiom,(
% 9.67/1.74 (![X,Y,Z]: (is_a_theorem(implies(implies(implies(X,Y),Z),implies(not(X),Z))) ))),
% 9.67/1.74 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 9.67/1.74 fof(f4,axiom,(
% 9.67/1.74 (![X,Z,Y]: (is_a_theorem(implies(implies(not(X),Z),implies(implies(Y,Z),implies(implies(X,Y),Z)))) ))),
% 9.67/1.74 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 9.67/1.74 fof(f5,negated_conjecture,(
% 9.67/1.74 ~ is_a_theorem(implies(implies(not(a),a),a)) ),
% 9.67/1.74 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 9.67/1.74 fof(f6,plain,(
% 9.67/1.74 ![Y]: ((![X]: (~is_a_theorem(implies(X,Y))|~is_a_theorem(X)))|is_a_theorem(Y))),
% 9.67/1.74 inference(miniscoping,[status(thm)],[f1])).
% 9.67/1.74 fof(f7,plain,(
% 9.67/1.74 ![X0,X1]: (~is_a_theorem(implies(X0,X1))|~is_a_theorem(X0)|is_a_theorem(X1))),
% 9.67/1.74 inference(cnf_transformation,[status(thm)],[f6])).
% 9.67/1.74 fof(f8,plain,(
% 9.67/1.74 ![X0,X1,X2]: (is_a_theorem(implies(implies(implies(X0,X1),X2),implies(X1,X2))))),
% 9.67/1.74 inference(cnf_transformation,[status(thm)],[f2])).
% 9.67/1.74 fof(f9,plain,(
% 9.67/1.74 ![X0,X1,X2]: (is_a_theorem(implies(implies(implies(X0,X1),X2),implies(not(X0),X2))))),
% 9.67/1.74 inference(cnf_transformation,[status(thm)],[f3])).
% 9.67/1.74 fof(f10,plain,(
% 9.67/1.74 ![X0,X1,X2]: (is_a_theorem(implies(implies(not(X0),X1),implies(implies(X2,X1),implies(implies(X0,X2),X1)))))),
% 9.67/1.74 inference(cnf_transformation,[status(thm)],[f4])).
% 9.67/1.74 fof(f11,plain,(
% 9.67/1.74 ~is_a_theorem(implies(implies(not(a),a),a))),
% 9.67/1.74 inference(cnf_transformation,[status(thm)],[f5])).
% 9.67/1.74 fof(f12,plain,(
% 9.67/1.74 ![X0,X1,X2]: (~is_a_theorem(implies(implies(X0,X1),X2))|is_a_theorem(implies(X1,X2)))),
% 9.67/1.74 inference(resolution,[status(thm)],[f8,f7])).
% 9.67/1.74 fof(f13,plain,(
% 9.67/1.74 ![X0,X1]: (is_a_theorem(implies(X0,implies(X1,X0))))),
% 9.67/1.74 inference(resolution,[status(thm)],[f12,f8])).
% 9.67/1.74 fof(f15,plain,(
% 9.67/1.74 ![X0,X1]: (~is_a_theorem(X0)|is_a_theorem(implies(X1,X0)))),
% 9.67/1.74 inference(resolution,[status(thm)],[f13,f7])).
% 9.67/1.74 fof(f17,plain,(
% 9.67/1.74 ![X0,X1,X2]: (is_a_theorem(implies(X0,implies(X1,implies(X2,X1)))))),
% 9.67/1.74 inference(resolution,[status(thm)],[f15,f13])).
% 9.67/1.74 fof(f19,plain,(
% 9.67/1.74 ![X0,X1,X2]: (~is_a_theorem(implies(implies(X0,X1),X2))|is_a_theorem(implies(not(X0),X2)))),
% 9.67/1.74 inference(resolution,[status(thm)],[f9,f7])).
% 9.67/1.74 fof(f43,plain,(
% 9.67/1.74 ![X0,X1,X2]: (is_a_theorem(implies(not(implies(X0,X1)),implies(X1,X2))))),
% 9.67/1.74 inference(resolution,[status(thm)],[f19,f8])).
% 9.67/1.74 fof(f51,plain,(
% 9.67/1.74 ![X0,X1,X2]: (is_a_theorem(implies(not(X0),implies(X1,implies(X0,X2)))))),
% 9.67/1.74 inference(resolution,[status(thm)],[f19,f13])).
% 9.67/1.74 fof(f58,plain,(
% 9.67/1.74 ![X0,X1,X2]: (~is_a_theorem(implies(not(X0),X1))|is_a_theorem(implies(implies(X2,X1),implies(implies(X0,X2),X1))))),
% 9.67/1.74 inference(resolution,[status(thm)],[f10,f7])).
% 9.67/1.74 fof(f62,plain,(
% 9.67/1.74 ![X0,X1,X2]: (~is_a_theorem(implies(not(X0),X1))|~is_a_theorem(implies(X2,X1))|is_a_theorem(implies(implies(X0,X2),X1)))),
% 9.67/1.74 inference(resolution,[status(thm)],[f58,f7])).
% 9.67/1.74 fof(f118,plain,(
% 9.67/1.74 ~is_a_theorem(implies(not(not(a)),a))|~is_a_theorem(implies(a,a))),
% 9.67/1.74 inference(resolution,[status(thm)],[f62,f11])).
% 9.67/1.74 fof(f121,plain,(
% 9.67/1.74 ![X0,X1,X2]: (~is_a_theorem(implies(not(X0),X1))|~is_a_theorem(implies(X2,X1))|~is_a_theorem(implies(X0,X2))|is_a_theorem(X1))),
% 9.67/1.74 inference(resolution,[status(thm)],[f62,f7])).
% 9.67/1.74 fof(f179,plain,(
% 9.67/1.74 ![X0,X1,X2,X3]: (~is_a_theorem(implies(X0,implies(X1,X2)))|~is_a_theorem(implies(implies(X3,X1),X0))|is_a_theorem(implies(X1,X2)))),
% 9.67/1.74 inference(resolution,[status(thm)],[f121,f43])).
% 9.67/1.74 fof(f184,plain,(
% 9.67/1.74 ![X0,X1,X2,X3]: (~is_a_theorem(implies(X0,implies(X1,implies(X2,X3))))|~is_a_theorem(implies(X2,X0))|is_a_theorem(implies(X1,implies(X2,X3))))),
% 9.67/1.74 inference(resolution,[status(thm)],[f121,f51])).
% 9.67/1.74 fof(f274,plain,(
% 9.67/1.74 ![X0,X1,X2]: (~is_a_theorem(implies(implies(X0,X1),implies(X1,X2)))|is_a_theorem(implies(X1,X2)))),
% 9.67/1.74 inference(resolution,[status(thm)],[f179,f8])).
% 9.67/1.75 fof(f321,plain,(
% 9.67/1.75 ![X0]: (is_a_theorem(implies(X0,X0)))),
% 9.67/1.75 inference(resolution,[status(thm)],[f274,f8])).
% 9.67/1.75 fof(f367,plain,(
% 9.67/1.75 ~is_a_theorem(implies(not(not(a)),a))),
% 9.67/1.75 inference(backward_subsumption_resolution,[status(thm)],[f118,f321])).
% 9.67/1.75 fof(f368,plain,(
% 9.67/1.75 ![X0,X1]: (~is_a_theorem(implies(X0,not(X1)))|~is_a_theorem(implies(X1,X0))|is_a_theorem(not(X1)))),
% 9.67/1.75 inference(resolution,[status(thm)],[f321,f121])).
% 9.67/1.75 fof(f371,plain,(
% 9.67/1.75 ![X0,X1]: (is_a_theorem(implies(not(X0),implies(X0,X1))))),
% 9.67/1.75 inference(resolution,[status(thm)],[f321,f19])).
% 9.67/1.75 fof(f374,plain,(
% 9.67/1.75 ![X0,X1]: (is_a_theorem(implies(X0,implies(X1,X1))))),
% 9.67/1.75 inference(resolution,[status(thm)],[f321,f15])).
% 9.67/1.75 fof(f377,plain,(
% 9.67/1.75 ![X0,X1,X2]: (~is_a_theorem(implies(implies(X0,X0),implies(X1,X2)))|is_a_theorem(implies(X1,X2)))),
% 9.67/1.75 inference(resolution,[status(thm)],[f374,f179])).
% 9.67/1.75 fof(f383,plain,(
% 9.67/1.75 ![X0,X1]: (~is_a_theorem(not(X0))|is_a_theorem(implies(X0,X1)))),
% 9.67/1.75 inference(resolution,[status(thm)],[f371,f7])).
% 9.67/1.75 fof(f430,plain,(
% 9.67/1.75 ![X0,X1]: (is_a_theorem(implies(implies(X0,X1),X1))|~is_a_theorem(implies(not(X0),X1)))),
% 9.67/1.75 inference(resolution,[status(thm)],[f377,f58])).
% 9.67/1.75 fof(f488,plain,(
% 9.67/1.75 ![X0,X1]: (~is_a_theorem(implies(not(X0),X1))|~is_a_theorem(implies(X0,X1))|is_a_theorem(X1))),
% 9.67/1.75 inference(resolution,[status(thm)],[f430,f7])).
% 9.67/1.75 fof(f557,plain,(
% 9.67/1.75 ![X0,X1]: (~is_a_theorem(implies(X0,implies(X1,not(X0))))|is_a_theorem(implies(X1,not(X0))))),
% 9.67/1.75 inference(resolution,[status(thm)],[f488,f13])).
% 9.67/1.75 fof(f720,plain,(
% 9.67/1.75 ![X0]: (is_a_theorem(implies(X0,not(not(X0)))))),
% 9.67/1.75 inference(resolution,[status(thm)],[f557,f371])).
% 9.67/1.75 fof(f731,plain,(
% 9.67/1.75 ![X0]: (~is_a_theorem(implies(not(X0),X0))|is_a_theorem(not(not(X0))))),
% 9.67/1.75 inference(resolution,[status(thm)],[f720,f368])).
% 9.67/1.75 fof(f970,plain,(
% 9.67/1.75 ![X0,X1,X2]: (~is_a_theorem(implies(X0,not(X1)))|is_a_theorem(implies(X1,implies(X0,X2))))),
% 9.67/1.75 inference(resolution,[status(thm)],[f184,f371])).
% 9.67/1.75 fof(f1084,plain,(
% 9.67/1.75 ![X0,X1]: (is_a_theorem(not(not(implies(X0,implies(X1,X0))))))),
% 9.67/1.75 inference(resolution,[status(thm)],[f731,f17])).
% 9.67/1.75 fof(f1278,plain,(
% 9.67/1.75 ![X0,X1,X2]: (is_a_theorem(implies(not(implies(X0,implies(X1,X0))),X2)))),
% 9.67/1.75 inference(resolution,[status(thm)],[f1084,f383])).
% 9.67/1.75 fof(f1451,plain,(
% 9.67/1.75 ![X0,X1,X2]: (~is_a_theorem(implies(implies(X0,implies(X1,X0)),X2))|is_a_theorem(X2))),
% 9.67/1.75 inference(resolution,[status(thm)],[f1278,f488])).
% 9.67/1.75 fof(f1701,plain,(
% 9.67/1.75 ![X0,X1]: (is_a_theorem(implies(X0,X1))|~is_a_theorem(implies(not(X1),implies(X0,X1))))),
% 9.67/1.75 inference(resolution,[status(thm)],[f1451,f430])).
% 9.67/1.75 fof(f3343,plain,(
% 9.67/1.75 ![X0,X1]: (is_a_theorem(implies(X0,implies(not(X0),X1))))),
% 9.67/1.75 inference(resolution,[status(thm)],[f970,f321])).
% 9.67/1.75 fof(f4359,plain,(
% 9.67/1.75 ![X0]: (is_a_theorem(implies(not(not(X0)),X0)))),
% 9.67/1.75 inference(resolution,[status(thm)],[f1701,f3343])).
% 9.67/1.75 fof(f4405,plain,(
% 9.67/1.75 $false),
% 9.67/1.75 inference(backward_subsumption_resolution,[status(thm)],[f367,f4359])).
% 9.67/1.75 % SZS output end CNFRefutation for theBenchmark.p
% 9.67/1.78 % Elapsed time: 1.402273 seconds
% 9.67/1.78 % CPU time: 10.835732 seconds
% 9.67/1.78 % Total memory used: 156.198 MB
% 9.67/1.78 % Net memory used: 140.170 MB
%------------------------------------------------------------------------------