%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : LCL380-1 : TPTP v9.3.1. Released v2.3.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n008.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 15.22s 2.35s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL380-1 : TPTP v9.3.1. Released v2.3.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.36 % Computer : n008.cluster.edu
% 0.13/0.36 % Model : x86_64 x86_64
% 0.13/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.36 % Memory : 8046.5625MB
% 0.13/0.36 % OS : Linux 6.8.0-71-generic
% 0.13/0.36 % CPULimit : 300
% 0.13/0.36 % WCLimit : 300
% 0.16/0.36 % DateTime : Mon Sep 21 00:26:53 UTC 2026
% 0.16/0.37 % CPUTime :
% 0.16/0.37 % Drodi V4.1.1
% 15.22/2.35 % Refutation found
% 15.22/2.35 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 15.22/2.35 % SZS output start CNFRefutation for theBenchmark
% 15.22/2.35 fof(f1,axiom,(
% 15.22/2.35 (![X,Y]: (( ~ is_a_theorem(implies(X,Y))| ~ is_a_theorem(X)| is_a_theorem(Y) ) ))),
% 15.22/2.35 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 15.22/2.35 fof(f2,axiom,(
% 15.22/2.35 (![X,Y,Z]: (is_a_theorem(implies(implies(X,Y),implies(implies(Y,Z),implies(X,Z)))) ))),
% 15.22/2.35 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 15.22/2.35 fof(f3,axiom,(
% 15.22/2.35 (![X]: (is_a_theorem(implies(implies(not(X),X),X)) ))),
% 15.22/2.35 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 15.22/2.35 fof(f4,axiom,(
% 15.22/2.35 (![X,Y]: (is_a_theorem(implies(X,implies(not(X),Y))) ))),
% 15.22/2.35 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 15.22/2.35 fof(f5,negated_conjecture,(
% 15.22/2.35 ~ is_a_theorem(implies(implies(x,y),implies(not(not(x)),y))) ),
% 15.22/2.35 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 15.22/2.35 fof(f6,plain,(
% 15.22/2.35 ![Y]: ((![X]: (~is_a_theorem(implies(X,Y))|~is_a_theorem(X)))|is_a_theorem(Y))),
% 15.22/2.35 inference(miniscoping,[status(thm)],[f1])).
% 15.22/2.35 fof(f7,plain,(
% 15.22/2.35 ![X0,X1]: (~is_a_theorem(implies(X0,X1))|~is_a_theorem(X0)|is_a_theorem(X1))),
% 15.22/2.35 inference(cnf_transformation,[status(thm)],[f6])).
% 15.22/2.35 fof(f8,plain,(
% 15.22/2.35 ![X0,X1,X2]: (is_a_theorem(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2)))))),
% 15.22/2.35 inference(cnf_transformation,[status(thm)],[f2])).
% 15.22/2.35 fof(f9,plain,(
% 15.22/2.35 ![X0]: (is_a_theorem(implies(implies(not(X0),X0),X0)))),
% 15.22/2.35 inference(cnf_transformation,[status(thm)],[f3])).
% 15.22/2.35 fof(f10,plain,(
% 15.22/2.35 ![X0,X1]: (is_a_theorem(implies(X0,implies(not(X0),X1))))),
% 15.22/2.35 inference(cnf_transformation,[status(thm)],[f4])).
% 15.22/2.35 fof(f11,plain,(
% 15.22/2.35 ~is_a_theorem(implies(implies(x,y),implies(not(not(x)),y)))),
% 15.22/2.35 inference(cnf_transformation,[status(thm)],[f5])).
% 15.22/2.35 fof(f13,plain,(
% 15.22/2.35 ![X0,X1]: (~is_a_theorem(X0)|is_a_theorem(implies(not(X0),X1)))),
% 15.22/2.35 inference(resolution,[status(thm)],[f7,f10])).
% 15.22/2.35 fof(f23,plain,(
% 15.22/2.35 ![X0,X1,X2]: (~is_a_theorem(implies(X0,X1))|is_a_theorem(implies(implies(X1,X2),implies(X0,X2))))),
% 15.22/2.35 inference(resolution,[status(thm)],[f8,f7])).
% 15.22/2.35 fof(f24,plain,(
% 15.22/2.35 ![X0,X1,X2]: (~is_a_theorem(implies(X0,X1))|~is_a_theorem(implies(X1,X2))|is_a_theorem(implies(X0,X2)))),
% 15.22/2.35 inference(resolution,[status(thm)],[f23,f7])).
% 15.22/2.35 fof(f32,plain,(
% 15.22/2.35 ~is_a_theorem(implies(not(not(x)),x))),
% 15.22/2.35 inference(resolution,[status(thm)],[f11,f23])).
% 15.22/2.35 fof(f51,plain,(
% 15.22/2.35 ![X0,X1]: (is_a_theorem(implies(not(implies(implies(not(X0),X0),X0)),X1)))),
% 15.22/2.35 inference(resolution,[status(thm)],[f9,f13])).
% 15.22/2.35 fof(f97,plain,(
% 15.22/2.35 ![X0,X1,X2,X3]: (is_a_theorem(implies(implies(implies(implies(X0,X1),implies(X2,X1)),X3),implies(implies(X2,X0),X3))))),
% 15.22/2.35 inference(resolution,[status(thm)],[f23,f8])).
% 15.22/2.35 fof(f98,plain,(
% 15.22/2.35 ![X0,X1,X2]: (is_a_theorem(implies(implies(implies(not(X0),X1),X2),implies(X0,X2))))),
% 15.22/2.35 inference(resolution,[status(thm)],[f23,f10])).
% 15.22/2.35 fof(f117,plain,(
% 15.22/2.35 ![X0,X1,X2]: (~is_a_theorem(implies(implies(not(X0),X1),X2))|is_a_theorem(implies(X0,X2)))),
% 15.22/2.35 inference(resolution,[status(thm)],[f98,f7])).
% 15.22/2.35 fof(f137,plain,(
% 15.22/2.35 ![X0,X1,X2]: (is_a_theorem(implies(X0,implies(implies(X1,X2),implies(not(X0),X2)))))),
% 15.22/2.35 inference(resolution,[status(thm)],[f117,f8])).
% 15.22/2.35 fof(f170,plain,(
% 15.22/2.35 ![X0,X1,X2,X3]: (~is_a_theorem(implies(X0,implies(implies(not(X1),X2),X3)))|is_a_theorem(implies(X0,implies(X1,X3))))),
% 15.22/2.35 inference(resolution,[status(thm)],[f24,f98])).
% 15.22/2.35 fof(f172,plain,(
% 15.22/2.35 ![X0,X1]: (~is_a_theorem(implies(X0,implies(not(X1),X1)))|is_a_theorem(implies(X0,X1)))),
% 15.22/2.35 inference(resolution,[status(thm)],[f24,f9])).
% 15.22/2.35 fof(f231,plain,(
% 15.22/2.35 ![X0,X1,X2]: (~is_a_theorem(X0)|is_a_theorem(implies(implies(X1,X2),implies(not(X0),X2))))),
% 15.22/2.35 inference(resolution,[status(thm)],[f137,f7])).
% 15.22/2.35 fof(f334,plain,(
% 15.22/2.35 ![X0,X1,X2,X3]: (~is_a_theorem(implies(implies(implies(X0,X1),implies(X2,X1)),X3))|is_a_theorem(implies(implies(X2,X0),X3)))),
% 15.22/2.35 inference(resolution,[status(thm)],[f97,f7])).
% 15.22/2.35 fof(f353,plain,(
% 15.22/2.35 ![X0,X1]: (is_a_theorem(implies(implies(X0,X1),X1))|~is_a_theorem(implies(not(X1),X0)))),
% 15.22/2.35 inference(resolution,[status(thm)],[f172,f23])).
% 15.22/2.35 fof(f364,plain,(
% 15.22/2.35 ![X0]: (~is_a_theorem(implies(not(not(x)),X0))|~is_a_theorem(implies(X0,x)))),
% 15.22/2.35 inference(resolution,[status(thm)],[f24,f32])).
% 15.22/2.37 fof(f388,plain,(
% 15.22/2.37 ![X0,X1]: (~is_a_theorem(X0)|is_a_theorem(implies(implies(X1,X0),X0)))),
% 15.22/2.37 inference(resolution,[status(thm)],[f231,f172])).
% 15.22/2.37 fof(f477,plain,(
% 15.22/2.37 ![X0,X1,X2]: (~is_a_theorem(implies(implies(not(X0),X1),X2))|is_a_theorem(implies(X0,X2)))),
% 15.22/2.37 inference(resolution,[status(thm)],[f98,f7])).
% 15.22/2.37 fof(f552,plain,(
% 15.22/2.37 ![X0,X1]: (is_a_theorem(implies(X0,X1))|~is_a_theorem(X1))),
% 15.22/2.37 inference(resolution,[status(thm)],[f117,f388])).
% 15.22/2.37 fof(f573,plain,(
% 15.22/2.37 ![X0,X1]: (~is_a_theorem(implies(not(X0),X0))|is_a_theorem(implies(X1,X0)))),
% 15.22/2.37 inference(resolution,[status(thm)],[f552,f172])).
% 15.22/2.37 fof(f625,plain,(
% 15.22/2.37 ![X0,X1]: (is_a_theorem(implies(X0,implies(implies(not(X1),X1),X1))))),
% 15.22/2.37 inference(resolution,[status(thm)],[f573,f51])).
% 15.22/2.37 fof(f1175,plain,(
% 15.22/2.37 ![X0,X1]: (is_a_theorem(implies(implies(implies(implies(not(X0),X0),X0),X1),X1)))),
% 15.22/2.37 inference(resolution,[status(thm)],[f353,f625])).
% 15.22/2.37 fof(f2610,plain,(
% 15.22/2.37 ![X0,X1]: (is_a_theorem(implies(implies(X0,implies(not(X1),X1)),implies(X0,X1))))),
% 15.22/2.37 inference(resolution,[status(thm)],[f334,f1175])).
% 15.22/2.37 fof(f2786,plain,(
% 15.22/2.37 ![X0,X1]: (is_a_theorem(implies(implies(not(X0),X1),implies(implies(X1,X0),X0))))),
% 15.22/2.37 inference(resolution,[status(thm)],[f2610,f334])).
% 15.22/2.37 fof(f3114,plain,(
% 15.22/2.37 ![X0,X1]: (is_a_theorem(implies(X0,implies(implies(X1,X0),X0))))),
% 15.22/2.37 inference(resolution,[status(thm)],[f2786,f477])).
% 15.22/2.37 fof(f3120,plain,(
% 15.22/2.37 ![X0,X1]: (is_a_theorem(implies(implies(not(X0),not(X1)),implies(X1,X0))))),
% 15.22/2.37 inference(resolution,[status(thm)],[f2786,f170])).
% 15.22/2.37 fof(f3144,plain,(
% 15.22/2.37 ![X0,X1]: (is_a_theorem(implies(X0,implies(X1,X0))))),
% 15.22/2.37 inference(resolution,[status(thm)],[f3114,f170])).
% 15.22/2.37 fof(f3155,plain,(
% 15.22/2.37 ![X0]: (~is_a_theorem(implies(implies(X0,not(not(x))),x)))),
% 15.22/2.37 inference(resolution,[status(thm)],[f3144,f364])).
% 15.22/2.37 fof(f4099,plain,(
% 15.22/2.37 ![X0]: (is_a_theorem(implies(implies(not(X0),not(not(X0))),X0)))),
% 15.22/2.37 inference(resolution,[status(thm)],[f3120,f172])).
% 15.22/2.37 fof(f4134,plain,(
% 15.22/2.37 $false),
% 15.22/2.37 inference(resolution,[status(thm)],[f4099,f3155])).
% 15.22/2.37 % SZS output end CNFRefutation for theBenchmark.p
% 15.22/2.38 % Elapsed time: 2.002088 seconds
% 15.22/2.38 % CPU time: 15.630505 seconds
% 15.22/2.38 % Total memory used: 196.036 MB
% 15.22/2.38 % Net memory used: 175.981 MB
%------------------------------------------------------------------------------