%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : LCL379-1 : TPTP v9.3.1. Released v2.3.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/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 01:09:56 PM UTC 2026
% Result : Unsatisfiable 15.82s 2.63s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL379-1 : TPTP v9.3.1. Released v2.3.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.35 % Computer : n018.cluster.edu
% 0.10/0.35 % Model : x86_64 x86_64
% 0.10/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.35 % Memory : 8046.5625MB
% 0.10/0.35 % OS : Linux 6.8.0-71-generic
% 0.10/0.35 % CPULimit : 300
% 0.10/0.35 % WCLimit : 300
% 0.10/0.35 % DateTime : Mon Sep 21 00:27:58 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.36 % Drodi V4.1.1
% 15.82/2.63 % Refutation found
% 15.82/2.63 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 15.82/2.63 % SZS output start CNFRefutation for theBenchmark
% 15.82/2.63 fof(f1,axiom,(
% 15.82/2.63 (![X,Y]: (( ~ is_a_theorem(implies(X,Y))| ~ is_a_theorem(X)| is_a_theorem(Y) ) ))),
% 15.82/2.63 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 15.82/2.63 fof(f2,axiom,(
% 15.82/2.63 (![X,Y,Z]: (is_a_theorem(implies(implies(X,Y),implies(implies(Y,Z),implies(X,Z)))) ))),
% 15.82/2.63 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 15.82/2.63 fof(f3,axiom,(
% 15.82/2.63 (![X]: (is_a_theorem(implies(implies(not(X),X),X)) ))),
% 15.82/2.63 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 15.82/2.63 fof(f4,axiom,(
% 15.82/2.63 (![X,Y]: (is_a_theorem(implies(X,implies(not(X),Y))) ))),
% 15.82/2.63 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 15.82/2.63 fof(f5,negated_conjecture,(
% 15.82/2.63 ~ is_a_theorem(implies(implies(x,not(x)),not(x))) ),
% 15.82/2.63 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 15.82/2.63 fof(f6,plain,(
% 15.82/2.63 ![Y]: ((![X]: (~is_a_theorem(implies(X,Y))|~is_a_theorem(X)))|is_a_theorem(Y))),
% 15.82/2.63 inference(miniscoping,[status(thm)],[f1])).
% 15.82/2.63 fof(f7,plain,(
% 15.82/2.63 ![X0,X1]: (~is_a_theorem(implies(X0,X1))|~is_a_theorem(X0)|is_a_theorem(X1))),
% 15.82/2.63 inference(cnf_transformation,[status(thm)],[f6])).
% 15.82/2.63 fof(f8,plain,(
% 15.82/2.63 ![X0,X1,X2]: (is_a_theorem(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2)))))),
% 15.82/2.63 inference(cnf_transformation,[status(thm)],[f2])).
% 15.82/2.63 fof(f9,plain,(
% 15.82/2.63 ![X0]: (is_a_theorem(implies(implies(not(X0),X0),X0)))),
% 15.82/2.63 inference(cnf_transformation,[status(thm)],[f3])).
% 15.82/2.63 fof(f10,plain,(
% 15.82/2.63 ![X0,X1]: (is_a_theorem(implies(X0,implies(not(X0),X1))))),
% 15.82/2.63 inference(cnf_transformation,[status(thm)],[f4])).
% 15.82/2.63 fof(f11,plain,(
% 15.82/2.63 ~is_a_theorem(implies(implies(x,not(x)),not(x)))),
% 15.82/2.63 inference(cnf_transformation,[status(thm)],[f5])).
% 15.82/2.63 fof(f12,plain,(
% 15.82/2.63 ![X0]: (~is_a_theorem(implies(not(X0),X0))|is_a_theorem(X0))),
% 15.82/2.63 inference(resolution,[status(thm)],[f7,f9])).
% 15.82/2.63 fof(f13,plain,(
% 15.82/2.63 ![X0,X1]: (~is_a_theorem(X0)|is_a_theorem(implies(not(X0),X1)))),
% 15.82/2.63 inference(resolution,[status(thm)],[f7,f10])).
% 15.82/2.63 fof(f23,plain,(
% 15.82/2.63 ![X0,X1,X2]: (~is_a_theorem(implies(X0,X1))|is_a_theorem(implies(implies(X1,X2),implies(X0,X2))))),
% 15.82/2.63 inference(resolution,[status(thm)],[f8,f7])).
% 15.82/2.63 fof(f24,plain,(
% 15.82/2.63 ![X0,X1,X2]: (~is_a_theorem(implies(X0,X1))|~is_a_theorem(implies(X1,X2))|is_a_theorem(implies(X0,X2)))),
% 15.82/2.63 inference(resolution,[status(thm)],[f23,f7])).
% 15.82/2.63 fof(f25,plain,(
% 15.82/2.63 ![X0,X1]: (~is_a_theorem(implies(not(X0),X1))|~is_a_theorem(implies(X1,X0))|is_a_theorem(X0))),
% 15.82/2.63 inference(resolution,[status(thm)],[f24,f12])).
% 15.82/2.63 fof(f26,plain,(
% 15.82/2.63 ![X0]: (~is_a_theorem(implies(implies(x,not(x)),X0))|~is_a_theorem(implies(X0,not(x))))),
% 15.82/2.63 inference(resolution,[status(thm)],[f24,f11])).
% 15.82/2.63 fof(f114,plain,(
% 15.82/2.63 ![X0,X1]: (is_a_theorem(implies(implies(X0,X1),implies(implies(not(X0),X0),X1))))),
% 15.82/2.63 inference(resolution,[status(thm)],[f23,f9])).
% 15.82/2.63 fof(f115,plain,(
% 15.82/2.63 ![X0,X1,X2,X3]: (is_a_theorem(implies(implies(implies(implies(X0,X1),implies(X2,X1)),X3),implies(implies(X2,X0),X3))))),
% 15.82/2.63 inference(resolution,[status(thm)],[f23,f8])).
% 15.82/2.63 fof(f116,plain,(
% 15.82/2.63 ![X0,X1,X2]: (is_a_theorem(implies(implies(implies(not(X0),X1),X2),implies(X0,X2))))),
% 15.82/2.63 inference(resolution,[status(thm)],[f23,f10])).
% 15.82/2.63 fof(f120,plain,(
% 15.82/2.63 ![X0,X1]: (~is_a_theorem(implies(X0,X1))|is_a_theorem(implies(implies(not(X0),X0),X1)))),
% 15.82/2.63 inference(resolution,[status(thm)],[f114,f7])).
% 15.82/2.63 fof(f127,plain,(
% 15.82/2.63 ![X0,X1,X2]: (~is_a_theorem(implies(implies(not(X0),X1),X2))|is_a_theorem(implies(X0,X2)))),
% 15.82/2.63 inference(resolution,[status(thm)],[f116,f7])).
% 15.82/2.63 fof(f139,plain,(
% 15.82/2.63 ![X0,X1,X2,X3]: (~is_a_theorem(implies(X0,implies(implies(not(X1),X2),X3)))|is_a_theorem(implies(X0,implies(X1,X3))))),
% 15.82/2.63 inference(resolution,[status(thm)],[f24,f116])).
% 15.82/2.63 fof(f140,plain,(
% 15.82/2.63 ![X0,X1]: (~is_a_theorem(implies(X0,implies(not(X1),X1)))|is_a_theorem(implies(X0,X1)))),
% 15.82/2.63 inference(resolution,[status(thm)],[f24,f9])).
% 15.82/2.63 fof(f143,plain,(
% 15.82/2.63 ![X0,X1,X2]: (~is_a_theorem(implies(X0,X1))|is_a_theorem(implies(X0,implies(not(X1),X2))))),
% 15.82/2.63 inference(resolution,[status(thm)],[f24,f10])).
% 15.82/2.63 fof(f181,plain,(
% 15.82/2.63 ![X0]: (is_a_theorem(implies(X0,X0)))),
% 15.82/2.63 inference(resolution,[status(thm)],[f127,f9])).
% 15.82/2.63 fof(f183,plain,(
% 15.82/2.63 ![X0,X1,X2]: (is_a_theorem(implies(X0,implies(implies(X1,X2),implies(not(X0),X2)))))),
% 15.82/2.63 inference(resolution,[status(thm)],[f127,f8])).
% 15.82/2.63 fof(f190,plain,(
% 15.82/2.63 ![X0,X1,X2,X3]: (~is_a_theorem(implies(implies(implies(X0,X1),implies(X2,X1)),X3))|is_a_theorem(implies(implies(X2,X0),X3)))),
% 15.82/2.63 inference(resolution,[status(thm)],[f115,f7])).
% 15.82/2.63 fof(f205,plain,(
% 15.82/2.63 ![X0,X1]: (is_a_theorem(implies(not(implies(X0,X0)),X1)))),
% 15.82/2.63 inference(resolution,[status(thm)],[f181,f13])).
% 15.82/2.63 fof(f213,plain,(
% 15.82/2.63 ![X0,X1,X2]: (is_a_theorem(implies(implies(X0,X1),implies(not(implies(X2,X2)),X1))))),
% 15.82/2.63 inference(resolution,[status(thm)],[f205,f23])).
% 15.82/2.63 fof(f374,plain,(
% 15.82/2.63 ![X0,X1,X2]: (~is_a_theorem(X0)|is_a_theorem(implies(implies(X1,X2),implies(not(X0),X2))))),
% 15.82/2.63 inference(resolution,[status(thm)],[f183,f7])).
% 15.82/2.63 fof(f389,plain,(
% 15.82/2.63 ![X0,X1,X2]: (is_a_theorem(implies(X0,implies(not(implies(X1,X1)),X2))))),
% 15.82/2.63 inference(resolution,[status(thm)],[f213,f127])).
% 15.82/2.63 fof(f407,plain,(
% 15.82/2.63 ![X0,X1]: (is_a_theorem(implies(X0,implies(X1,X1))))),
% 15.82/2.63 inference(resolution,[status(thm)],[f389,f140])).
% 15.82/2.63 fof(f468,plain,(
% 15.82/2.63 ~is_a_theorem(implies(implies(x,not(x)),implies(not(not(x)),not(x))))),
% 15.82/2.63 inference(resolution,[status(thm)],[f26,f9])).
% 15.82/2.63 fof(f572,plain,(
% 15.82/2.63 ![X0,X1]: (~is_a_theorem(implies(implies(X0,X0),X1))|is_a_theorem(X1))),
% 15.82/2.63 inference(resolution,[status(thm)],[f25,f407])).
% 15.82/2.63 fof(f622,plain,(
% 15.82/2.63 ![X0,X1,X2]: (is_a_theorem(implies(X0,implies(not(X1),X2)))|~is_a_theorem(X1))),
% 15.82/2.63 inference(resolution,[status(thm)],[f127,f374])).
% 15.82/2.63 fof(f651,plain,(
% 15.82/2.63 ![X0,X1]: (is_a_theorem(implies(implies(X0,X1),X1))|~is_a_theorem(implies(not(X1),X0)))),
% 15.82/2.63 inference(resolution,[status(thm)],[f140,f23])).
% 15.82/2.63 fof(f661,plain,(
% 15.82/2.63 ![X0,X1]: (is_a_theorem(implies(X0,X1))|~is_a_theorem(X1))),
% 15.82/2.63 inference(resolution,[status(thm)],[f140,f622])).
% 15.82/2.63 fof(f685,plain,(
% 15.82/2.63 ~is_a_theorem(implies(not(not(x)),x))),
% 15.82/2.63 inference(resolution,[status(thm)],[f468,f23])).
% 15.82/2.63 fof(f691,plain,(
% 15.82/2.63 ![X0,X1]: (is_a_theorem(implies(X0,implies(implies(not(X1),X1),X1))))),
% 15.82/2.63 inference(resolution,[status(thm)],[f661,f9])).
% 15.82/2.63 fof(f897,plain,(
% 15.82/2.63 ![X0,X1,X2]: (~is_a_theorem(implies(implies(X0,X0),X1))|is_a_theorem(implies(not(X1),X2)))),
% 15.82/2.63 inference(resolution,[status(thm)],[f143,f572])).
% 15.82/2.63 fof(f920,plain,(
% 15.82/2.63 ![X0,X1]: (~is_a_theorem(implies(X0,X1))|~is_a_theorem(implies(not(X0),X0))|is_a_theorem(X1))),
% 15.82/2.63 inference(resolution,[status(thm)],[f120,f7])).
% 15.82/2.63 fof(f1092,plain,(
% 15.82/2.63 ![X0,X1]: (is_a_theorem(implies(implies(implies(implies(not(X0),X0),X0),X1),X1)))),
% 15.82/2.63 inference(resolution,[status(thm)],[f651,f691])).
% 15.82/2.63 fof(f1471,plain,(
% 15.82/2.63 ![X0,X1,X2]: (~is_a_theorem(implies(X0,X1))|is_a_theorem(X1)|~is_a_theorem(implies(implies(X2,X2),X0)))),
% 15.82/2.63 inference(resolution,[status(thm)],[f920,f897])).
% 15.82/2.63 fof(f3115,plain,(
% 15.82/2.63 ![X0,X1]: (is_a_theorem(implies(implies(X0,implies(not(X1),X1)),implies(X0,X1))))),
% 15.82/2.63 inference(resolution,[status(thm)],[f190,f1092])).
% 15.82/2.63 fof(f3363,plain,(
% 15.82/2.63 ![X0,X1]: (is_a_theorem(implies(implies(not(X0),X1),implies(implies(X1,X0),X0))))),
% 15.82/2.63 inference(resolution,[status(thm)],[f3115,f190])).
% 15.82/2.63 fof(f4379,plain,(
% 15.82/2.63 ![X0,X1]: (is_a_theorem(implies(X0,implies(implies(X1,X0),X0))))),
% 15.82/2.63 inference(resolution,[status(thm)],[f3363,f127])).
% 15.82/2.63 fof(f4416,plain,(
% 15.82/2.63 ![X0,X1]: (is_a_theorem(implies(X0,implies(X1,X0))))),
% 15.82/2.63 inference(resolution,[status(thm)],[f4379,f139])).
% 15.82/2.63 fof(f4459,plain,(
% 15.82/2.63 ![X0,X1,X2]: (is_a_theorem(implies(X0,implies(X1,implies(X2,X1)))))),
% 15.82/2.63 inference(resolution,[status(thm)],[f4416,f661])).
% 15.82/2.63 fof(f4537,plain,(
% 15.82/2.63 ![X0,X1,X2]: (~is_a_theorem(implies(implies(X0,implies(X1,X0)),X2))|is_a_theorem(X2))),
% 15.82/2.63 inference(resolution,[status(thm)],[f4459,f1471])).
% 15.82/2.63 fof(f5255,plain,(
% 15.82/2.63 ![X0,X1,X2]: (is_a_theorem(implies(implies(implies(X0,X1),X2),implies(X1,X2))))),
% 15.82/2.63 inference(resolution,[status(thm)],[f4537,f8])).
% 15.82/2.63 fof(f6846,plain,(
% 15.82/2.63 ![X0,X1,X2]: (~is_a_theorem(implies(implies(X0,X1),X2))|is_a_theorem(implies(X1,X2)))),
% 15.82/2.63 inference(resolution,[status(thm)],[f5255,f7])).
% 15.82/2.63 fof(f7073,plain,(
% 15.82/2.63 ![X0,X1]: (is_a_theorem(implies(X0,implies(implies(X0,X1),X1))))),
% 15.82/2.63 inference(resolution,[status(thm)],[f6846,f3363])).
% 15.82/2.63 fof(f7158,plain,(
% 15.82/2.63 ![X0,X1]: (is_a_theorem(implies(not(X0),implies(X0,X1))))),
% 17.48/2.65 inference(resolution,[status(thm)],[f7073,f139])).
% 17.48/2.65 fof(f7172,plain,(
% 17.48/2.65 ![X0]: (is_a_theorem(implies(not(not(X0)),X0)))),
% 17.48/2.65 inference(resolution,[status(thm)],[f7158,f140])).
% 17.48/2.65 fof(f7179,plain,(
% 17.48/2.65 $false),
% 17.48/2.65 inference(backward_subsumption_resolution,[status(thm)],[f685,f7172])).
% 17.48/2.65 % SZS output end CNFRefutation for theBenchmark.p
% 17.48/2.67 % Elapsed time: 2.296414 seconds
% 17.48/2.67 % CPU time: 17.867266 seconds
% 17.48/2.67 % Total memory used: 188.547 MB
% 17.48/2.67 % Net memory used: 164.103 MB
%------------------------------------------------------------------------------