%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : LCL396-1 : 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 : n010.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 01:09:59 PM UTC 2026
% Result : Unsatisfiable 10.74s 2.26s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : LCL396-1 : TPTP v9.3.1. Released v2.3.0.
% 0.00/0.05 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.16/0.43 % Computer : n010.cluster.edu
% 0.16/0.43 % Model : x86_64 x86_64
% 0.16/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.43 % Memory : 8046.5625MB
% 0.16/0.43 % OS : Linux 6.8.0-71-generic
% 0.16/0.43 % CPULimit : 300
% 0.16/0.43 % WCLimit : 300
% 0.16/0.43 % DateTime : Mon Sep 21 00:28:09 UTC 2026
% 0.16/0.44 % CPUTime :
% 0.16/0.45 % Drodi V4.1.1
% 10.74/2.26 % Refutation found
% 10.74/2.26 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 10.74/2.26 % SZS output start CNFRefutation for theBenchmark
% 10.74/2.26 fof(f1,axiom,(
% 10.74/2.26 (![X,Y]: (( ~ is_a_theorem(implies(X,Y))| ~ is_a_theorem(X)| is_a_theorem(Y) ) ))),
% 10.74/2.26 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 10.74/2.26 fof(f2,axiom,(
% 10.74/2.26 (![X,Y,Z]: (is_a_theorem(implies(implies(X,Y),implies(implies(Y,Z),implies(X,Z)))) ))),
% 10.74/2.26 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 10.74/2.26 fof(f3,axiom,(
% 10.74/2.26 (![X]: (is_a_theorem(implies(implies(not(X),X),X)) ))),
% 10.74/2.26 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 10.74/2.26 fof(f4,axiom,(
% 10.74/2.26 (![X,Y]: (is_a_theorem(implies(X,implies(not(X),Y))) ))),
% 10.74/2.26 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 10.74/2.26 fof(f5,negated_conjecture,(
% 10.74/2.26 ~ is_a_theorem(implies(implies(not(not(x)),y),implies(x,y))) ),
% 10.74/2.26 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 10.74/2.26 fof(f6,plain,(
% 10.74/2.26 ![Y]: ((![X]: (~is_a_theorem(implies(X,Y))|~is_a_theorem(X)))|is_a_theorem(Y))),
% 10.74/2.26 inference(miniscoping,[status(thm)],[f1])).
% 10.74/2.26 fof(f7,plain,(
% 10.74/2.26 ![X0,X1]: (~is_a_theorem(implies(X0,X1))|~is_a_theorem(X0)|is_a_theorem(X1))),
% 10.74/2.26 inference(cnf_transformation,[status(thm)],[f6])).
% 10.74/2.26 fof(f8,plain,(
% 10.74/2.26 ![X0,X1,X2]: (is_a_theorem(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2)))))),
% 10.74/2.26 inference(cnf_transformation,[status(thm)],[f2])).
% 10.74/2.26 fof(f9,plain,(
% 10.74/2.26 ![X0]: (is_a_theorem(implies(implies(not(X0),X0),X0)))),
% 10.74/2.26 inference(cnf_transformation,[status(thm)],[f3])).
% 10.74/2.26 fof(f10,plain,(
% 10.74/2.26 ![X0,X1]: (is_a_theorem(implies(X0,implies(not(X0),X1))))),
% 10.74/2.26 inference(cnf_transformation,[status(thm)],[f4])).
% 10.74/2.26 fof(f11,plain,(
% 10.74/2.26 ~is_a_theorem(implies(implies(not(not(x)),y),implies(x,y)))),
% 10.74/2.26 inference(cnf_transformation,[status(thm)],[f5])).
% 10.74/2.26 fof(f23,plain,(
% 10.74/2.26 ![X0,X1,X2]: (~is_a_theorem(implies(X0,X1))|is_a_theorem(implies(implies(X1,X2),implies(X0,X2))))),
% 10.74/2.26 inference(resolution,[status(thm)],[f8,f7])).
% 10.74/2.26 fof(f24,plain,(
% 10.74/2.26 ~is_a_theorem(implies(x,not(not(x))))),
% 10.74/2.26 inference(resolution,[status(thm)],[f23,f11])).
% 10.74/2.26 fof(f25,plain,(
% 10.74/2.26 ![X0,X1,X2]: (~is_a_theorem(implies(X0,X1))|~is_a_theorem(implies(X1,X2))|is_a_theorem(implies(X0,X2)))),
% 10.74/2.26 inference(resolution,[status(thm)],[f23,f7])).
% 10.74/2.26 fof(f26,plain,(
% 10.74/2.26 ![X0]: (~is_a_theorem(implies(x,X0))|~is_a_theorem(implies(X0,not(not(x)))))),
% 10.74/2.26 inference(resolution,[status(thm)],[f25,f24])).
% 10.74/2.26 fof(f35,plain,(
% 10.74/2.26 ![X0]: (~is_a_theorem(implies(implies(not(x),X0),not(not(x)))))),
% 10.74/2.26 inference(resolution,[status(thm)],[f26,f10])).
% 10.74/2.26 fof(f123,plain,(
% 10.74/2.26 ![X0,X1]: (is_a_theorem(implies(implies(X0,X1),implies(implies(not(X0),X0),X1))))),
% 10.74/2.26 inference(resolution,[status(thm)],[f23,f9])).
% 10.74/2.26 fof(f124,plain,(
% 10.74/2.26 ![X0,X1,X2,X3]: (is_a_theorem(implies(implies(implies(implies(X0,X1),implies(X2,X1)),X3),implies(implies(X2,X0),X3))))),
% 10.74/2.26 inference(resolution,[status(thm)],[f23,f8])).
% 10.74/2.26 fof(f125,plain,(
% 10.74/2.26 ![X0,X1,X2]: (is_a_theorem(implies(implies(implies(not(X0),X1),X2),implies(X0,X2))))),
% 10.74/2.26 inference(resolution,[status(thm)],[f23,f10])).
% 10.74/2.26 fof(f137,plain,(
% 10.74/2.26 ![X0,X1]: (~is_a_theorem(implies(X0,X1))|is_a_theorem(implies(implies(not(X0),X0),X1)))),
% 10.74/2.26 inference(resolution,[status(thm)],[f123,f7])).
% 10.74/2.26 fof(f144,plain,(
% 10.74/2.26 ![X0,X1,X2]: (~is_a_theorem(implies(implies(not(X0),X1),X2))|is_a_theorem(implies(X0,X2)))),
% 10.74/2.26 inference(resolution,[status(thm)],[f125,f7])).
% 10.74/2.26 fof(f165,plain,(
% 10.74/2.26 ![X0,X1,X2]: (is_a_theorem(implies(X0,implies(implies(X1,X2),implies(not(X0),X2)))))),
% 10.74/2.26 inference(resolution,[status(thm)],[f144,f8])).
% 10.74/2.26 fof(f253,plain,(
% 10.74/2.26 ![X0,X1,X2,X3]: (~is_a_theorem(implies(X0,implies(implies(not(X1),X2),X3)))|is_a_theorem(implies(X0,implies(X1,X3))))),
% 10.74/2.26 inference(resolution,[status(thm)],[f25,f125])).
% 10.74/2.26 fof(f255,plain,(
% 10.74/2.26 ![X0,X1]: (~is_a_theorem(implies(X0,implies(not(X1),X1)))|is_a_theorem(implies(X0,X1)))),
% 10.74/2.26 inference(resolution,[status(thm)],[f25,f9])).
% 10.74/2.26 fof(f297,plain,(
% 10.74/2.26 ![X0,X1,X2]: (~is_a_theorem(X0)|is_a_theorem(implies(implies(X1,X2),implies(not(X0),X2))))),
% 10.74/2.26 inference(resolution,[status(thm)],[f165,f7])).
% 10.74/2.26 fof(f418,plain,(
% 10.74/2.26 ![X0,X1,X2,X3]: (~is_a_theorem(implies(implies(implies(X0,X1),implies(X2,X1)),X3))|is_a_theorem(implies(implies(X2,X0),X3)))),
% 10.74/2.28 inference(resolution,[status(thm)],[f124,f7])).
% 10.74/2.28 fof(f447,plain,(
% 10.74/2.28 ![X0,X1]: (is_a_theorem(implies(implies(X0,X1),X1))|~is_a_theorem(implies(not(X1),X0)))),
% 10.74/2.28 inference(resolution,[status(thm)],[f255,f23])).
% 10.74/2.28 fof(f475,plain,(
% 10.74/2.28 ![X0,X1]: (~is_a_theorem(X0)|is_a_theorem(implies(implies(X1,X0),X0)))),
% 10.74/2.28 inference(resolution,[status(thm)],[f297,f255])).
% 10.74/2.28 fof(f625,plain,(
% 10.74/2.28 ![X0,X1]: (is_a_theorem(implies(X0,X1))|~is_a_theorem(X1))),
% 10.74/2.28 inference(resolution,[status(thm)],[f144,f475])).
% 10.74/2.28 fof(f636,plain,(
% 10.74/2.28 ![X0,X1]: (is_a_theorem(implies(X0,implies(implies(not(X1),X1),X1))))),
% 10.74/2.28 inference(resolution,[status(thm)],[f625,f9])).
% 10.74/2.28 fof(f859,plain,(
% 10.74/2.28 ![X0,X1]: (~is_a_theorem(implies(X0,X1))|~is_a_theorem(implies(not(X0),X0))|is_a_theorem(X1))),
% 10.74/2.28 inference(resolution,[status(thm)],[f137,f7])).
% 10.74/2.28 fof(f883,plain,(
% 10.74/2.28 ![X0,X1]: (is_a_theorem(implies(implies(implies(implies(not(X0),X0),X0),X1),X1)))),
% 10.74/2.28 inference(resolution,[status(thm)],[f447,f636])).
% 10.74/2.28 fof(f2607,plain,(
% 10.74/2.28 ![X0,X1]: (is_a_theorem(implies(implies(X0,implies(not(X1),X1)),implies(X0,X1))))),
% 10.74/2.28 inference(resolution,[status(thm)],[f418,f883])).
% 10.74/2.28 fof(f3405,plain,(
% 10.74/2.28 ![X0,X1]: (is_a_theorem(implies(implies(not(X0),X1),implies(implies(X1,X0),X0))))),
% 10.74/2.28 inference(resolution,[status(thm)],[f2607,f418])).
% 10.74/2.28 fof(f3521,plain,(
% 10.74/2.28 ![X0,X1]: (is_a_theorem(implies(X0,implies(implies(X1,X0),X0))))),
% 10.74/2.28 inference(resolution,[status(thm)],[f3405,f144])).
% 10.74/2.28 fof(f3553,plain,(
% 10.74/2.28 ![X0,X1]: (is_a_theorem(implies(X0,implies(X1,X0))))),
% 10.74/2.28 inference(resolution,[status(thm)],[f3521,f253])).
% 10.74/2.28 fof(f3589,plain,(
% 10.74/2.28 ![X0,X1,X2]: (is_a_theorem(implies(X0,implies(X1,implies(X2,X1)))))),
% 10.74/2.28 inference(resolution,[status(thm)],[f3553,f625])).
% 10.74/2.28 fof(f3900,plain,(
% 10.74/2.28 ![X0,X1,X2]: (~is_a_theorem(implies(implies(X0,implies(X1,X0)),X2))|is_a_theorem(X2))),
% 10.74/2.28 inference(resolution,[status(thm)],[f3589,f859])).
% 10.74/2.28 fof(f5710,plain,(
% 10.74/2.28 ![X0,X1,X2]: (is_a_theorem(implies(implies(implies(X0,X1),X2),implies(X1,X2))))),
% 10.74/2.28 inference(resolution,[status(thm)],[f3900,f8])).
% 10.74/2.28 fof(f6461,plain,(
% 10.74/2.28 ![X0,X1,X2]: (~is_a_theorem(implies(implies(X0,X1),X2))|is_a_theorem(implies(X1,X2)))),
% 10.74/2.28 inference(resolution,[status(thm)],[f5710,f7])).
% 10.74/2.28 fof(f6546,plain,(
% 10.74/2.28 ![X0,X1]: (is_a_theorem(implies(X0,implies(implies(X0,X1),X1))))),
% 10.74/2.28 inference(resolution,[status(thm)],[f6461,f3405])).
% 10.74/2.28 fof(f6630,plain,(
% 10.74/2.28 ![X0,X1]: (is_a_theorem(implies(not(X0),implies(X0,X1))))),
% 10.74/2.28 inference(resolution,[status(thm)],[f6546,f253])).
% 10.74/2.28 fof(f6650,plain,(
% 10.74/2.28 ![X0]: (is_a_theorem(implies(not(not(X0)),X0)))),
% 10.74/2.28 inference(resolution,[status(thm)],[f6630,f255])).
% 10.74/2.28 fof(f6660,plain,(
% 10.74/2.28 ![X0]: (is_a_theorem(implies(implies(X0,not(X0)),not(X0))))),
% 10.74/2.28 inference(resolution,[status(thm)],[f6650,f447])).
% 10.74/2.28 fof(f6853,plain,(
% 10.74/2.28 $false),
% 10.74/2.28 inference(resolution,[status(thm)],[f6660,f35])).
% 10.74/2.28 % SZS output end CNFRefutation for theBenchmark.p
% 0.72/2.32 % Elapsed time: 1.863781 seconds
% 0.72/2.32 % CPU time: 14.245801 seconds
% 0.72/2.32 % Total memory used: 169.355 MB
% 0.72/2.32 % Net memory used: 151.019 MB
%------------------------------------------------------------------------------