%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : LCL399-1 : 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 : n017.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 0.97s 0.67s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LCL399-1 : 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 : n017.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 00:23:26 UTC 2026
% 0.10/0.35 % CPUTime :
% 0.12/0.36 % Drodi V4.1.1
% 0.97/0.67 % Refutation found
% 0.97/0.67 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.97/0.67 % SZS output start CNFRefutation for theBenchmark
% 0.97/0.67 fof(f1,axiom,(
% 0.97/0.67 (![X,Y]: (( ~ is_a_theorem(implies(X,Y))| ~ is_a_theorem(X)| is_a_theorem(Y) ) ))),
% 0.97/0.67 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.97/0.67 fof(f2,axiom,(
% 0.97/0.67 (![X,Y,Z]: (is_a_theorem(implies(implies(X,Y),implies(implies(Y,Z),implies(X,Z)))) ))),
% 0.97/0.67 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.97/0.67 fof(f3,axiom,(
% 0.97/0.67 (![X]: (is_a_theorem(implies(implies(not(X),X),X)) ))),
% 0.97/0.67 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.97/0.67 fof(f4,axiom,(
% 0.97/0.67 (![X,Y]: (is_a_theorem(implies(X,implies(not(X),Y))) ))),
% 0.97/0.67 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.97/0.67 fof(f5,negated_conjecture,(
% 0.97/0.67 ~ is_a_theorem(implies(implies(not(x),not(implies(y,y))),x)) ),
% 0.97/0.67 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.97/0.67 fof(f6,plain,(
% 0.97/0.67 ![Y]: ((![X]: (~is_a_theorem(implies(X,Y))|~is_a_theorem(X)))|is_a_theorem(Y))),
% 0.97/0.67 inference(miniscoping,[status(thm)],[f1])).
% 0.97/0.67 fof(f7,plain,(
% 0.97/0.67 ![X0,X1]: (~is_a_theorem(implies(X0,X1))|~is_a_theorem(X0)|is_a_theorem(X1))),
% 0.97/0.67 inference(cnf_transformation,[status(thm)],[f6])).
% 0.97/0.67 fof(f8,plain,(
% 0.97/0.67 ![X0,X1,X2]: (is_a_theorem(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2)))))),
% 0.97/0.67 inference(cnf_transformation,[status(thm)],[f2])).
% 0.97/0.67 fof(f9,plain,(
% 0.97/0.67 ![X0]: (is_a_theorem(implies(implies(not(X0),X0),X0)))),
% 0.97/0.67 inference(cnf_transformation,[status(thm)],[f3])).
% 0.97/0.67 fof(f10,plain,(
% 0.97/0.67 ![X0,X1]: (is_a_theorem(implies(X0,implies(not(X0),X1))))),
% 0.97/0.67 inference(cnf_transformation,[status(thm)],[f4])).
% 0.97/0.67 fof(f11,plain,(
% 0.97/0.67 ~is_a_theorem(implies(implies(not(x),not(implies(y,y))),x))),
% 0.97/0.67 inference(cnf_transformation,[status(thm)],[f5])).
% 0.97/0.67 fof(f12,plain,(
% 0.97/0.67 ![X0]: (~is_a_theorem(implies(not(X0),X0))|is_a_theorem(X0))),
% 0.97/0.67 inference(resolution,[status(thm)],[f7,f9])).
% 0.97/0.67 fof(f13,plain,(
% 0.97/0.67 ![X0,X1]: (~is_a_theorem(X0)|is_a_theorem(implies(not(X0),X1)))),
% 0.97/0.67 inference(resolution,[status(thm)],[f7,f10])).
% 0.97/0.67 fof(f23,plain,(
% 0.97/0.67 ![X0,X1,X2]: (~is_a_theorem(implies(X0,X1))|is_a_theorem(implies(implies(X1,X2),implies(X0,X2))))),
% 0.97/0.67 inference(resolution,[status(thm)],[f8,f7])).
% 0.97/0.67 fof(f24,plain,(
% 0.97/0.67 ![X0,X1,X2]: (~is_a_theorem(implies(X0,X1))|~is_a_theorem(implies(X1,X2))|is_a_theorem(implies(X0,X2)))),
% 0.97/0.67 inference(resolution,[status(thm)],[f23,f7])).
% 0.97/0.67 fof(f25,plain,(
% 0.97/0.67 ![X0,X1]: (~is_a_theorem(implies(not(X0),X1))|~is_a_theorem(implies(X1,X0))|is_a_theorem(X0))),
% 0.97/0.67 inference(resolution,[status(thm)],[f24,f12])).
% 0.97/0.67 fof(f26,plain,(
% 0.97/0.67 ![X0]: (~is_a_theorem(implies(implies(not(x),not(implies(y,y))),X0))|~is_a_theorem(implies(X0,x)))),
% 0.97/0.67 inference(resolution,[status(thm)],[f24,f11])).
% 0.97/0.67 fof(f116,plain,(
% 0.97/0.67 ![X0,X1,X2]: (is_a_theorem(implies(implies(implies(not(X0),X1),X2),implies(X0,X2))))),
% 0.97/0.67 inference(resolution,[status(thm)],[f23,f10])).
% 0.97/0.67 fof(f127,plain,(
% 0.97/0.67 ![X0,X1,X2]: (~is_a_theorem(implies(implies(not(X0),X1),X2))|is_a_theorem(implies(X0,X2)))),
% 0.97/0.67 inference(resolution,[status(thm)],[f116,f7])).
% 0.97/0.67 fof(f147,plain,(
% 0.97/0.67 ![X0,X1,X2,X3]: (~is_a_theorem(implies(X0,implies(implies(not(X1),X2),X3)))|is_a_theorem(implies(X0,implies(X1,X3))))),
% 0.97/0.67 inference(resolution,[status(thm)],[f24,f116])).
% 0.97/0.67 fof(f149,plain,(
% 0.97/0.67 ![X0,X1]: (~is_a_theorem(implies(X0,implies(not(X1),X1)))|is_a_theorem(implies(X0,X1)))),
% 0.97/0.67 inference(resolution,[status(thm)],[f24,f9])).
% 0.97/0.67 fof(f157,plain,(
% 0.97/0.67 ![X0]: (is_a_theorem(implies(X0,X0)))),
% 0.97/0.67 inference(resolution,[status(thm)],[f127,f9])).
% 0.97/0.67 fof(f159,plain,(
% 0.97/0.67 ![X0,X1,X2]: (is_a_theorem(implies(X0,implies(implies(X1,X2),implies(not(X0),X2)))))),
% 0.97/0.67 inference(resolution,[status(thm)],[f127,f8])).
% 0.97/0.67 fof(f173,plain,(
% 0.97/0.67 ![X0,X1]: (is_a_theorem(implies(not(implies(X0,X0)),X1)))),
% 0.97/0.67 inference(resolution,[status(thm)],[f157,f13])).
% 0.97/0.67 fof(f205,plain,(
% 0.97/0.67 ![X0,X1,X2]: (is_a_theorem(implies(implies(X0,X1),implies(not(implies(X2,X2)),X1))))),
% 0.97/0.67 inference(resolution,[status(thm)],[f173,f23])).
% 0.97/0.67 fof(f311,plain,(
% 0.97/0.67 ![X0,X1,X2]: (~is_a_theorem(X0)|is_a_theorem(implies(implies(X1,X2),implies(not(X0),X2))))),
% 0.97/0.67 inference(resolution,[status(thm)],[f159,f7])).
% 0.97/0.67 fof(f361,plain,(
% 0.97/0.67 ![X0,X1,X2]: (is_a_theorem(implies(X0,implies(not(implies(X1,X1)),X2))))),
% 0.97/0.68 inference(resolution,[status(thm)],[f205,f127])).
% 0.97/0.68 fof(f379,plain,(
% 0.97/0.68 ![X0,X1]: (is_a_theorem(implies(X0,implies(X1,X1))))),
% 0.97/0.68 inference(resolution,[status(thm)],[f361,f149])).
% 0.97/0.68 fof(f439,plain,(
% 0.97/0.68 ~is_a_theorem(implies(implies(not(x),not(implies(y,y))),implies(not(x),x)))),
% 0.97/0.68 inference(resolution,[status(thm)],[f26,f9])).
% 0.97/0.68 fof(f593,plain,(
% 0.97/0.68 ![X0,X1,X2]: (is_a_theorem(implies(X0,implies(not(X1),X2)))|~is_a_theorem(X1))),
% 0.97/0.68 inference(resolution,[status(thm)],[f127,f311])).
% 0.97/0.68 fof(f632,plain,(
% 0.97/0.68 ![X0,X1]: (is_a_theorem(implies(X0,X1))|~is_a_theorem(X1))),
% 0.97/0.68 inference(resolution,[status(thm)],[f149,f593])).
% 0.97/0.68 fof(f651,plain,(
% 0.97/0.68 ![X0,X1,X2]: (is_a_theorem(implies(X0,implies(X1,implies(X2,X2)))))),
% 0.97/0.68 inference(resolution,[status(thm)],[f632,f379])).
% 0.97/0.68 fof(f682,plain,(
% 0.97/0.68 ![X0,X1,X2]: (~is_a_theorem(implies(implies(X0,implies(X1,X1)),X2))|is_a_theorem(X2))),
% 0.97/0.68 inference(resolution,[status(thm)],[f651,f25])).
% 0.97/0.68 fof(f745,plain,(
% 0.97/0.68 ![X0,X1,X2]: (is_a_theorem(implies(implies(implies(X0,X0),X1),implies(X2,X1))))),
% 0.97/0.68 inference(resolution,[status(thm)],[f682,f8])).
% 0.97/0.68 fof(f776,plain,(
% 0.97/0.68 ![X0,X1]: (is_a_theorem(implies(implies(implies(X0,X0),X1),X1)))),
% 0.97/0.68 inference(resolution,[status(thm)],[f745,f149])).
% 0.97/0.68 fof(f788,plain,(
% 0.97/0.68 ![X0,X1,X2]: (~is_a_theorem(implies(X0,implies(implies(X1,X1),X2)))|is_a_theorem(implies(X0,X2)))),
% 0.97/0.68 inference(resolution,[status(thm)],[f776,f24])).
% 0.97/0.68 fof(f1676,plain,(
% 0.97/0.68 ![X0,X1,X2]: (is_a_theorem(implies(implies(X0,not(X1)),implies(X1,implies(X0,X2)))))),
% 0.97/0.68 inference(resolution,[status(thm)],[f147,f8])).
% 0.97/0.68 fof(f2075,plain,(
% 0.97/0.68 ![X0,X1,X2]: (is_a_theorem(implies(implies(X0,not(implies(X1,X1))),implies(X0,X2))))),
% 0.97/0.68 inference(resolution,[status(thm)],[f788,f1676])).
% 0.97/0.68 fof(f2181,plain,(
% 0.97/0.68 $false),
% 0.97/0.68 inference(backward_subsumption_resolution,[status(thm)],[f439,f2075])).
% 0.97/0.68 % SZS output end CNFRefutation for theBenchmark.p
% 0.71/0.69 % Elapsed time: 0.324911 seconds
% 0.71/0.69 % CPU time: 2.400181 seconds
% 0.71/0.69 % Total memory used: 96.163 MB
% 0.71/0.69 % Net memory used: 89.783 MB
%------------------------------------------------------------------------------