%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : LCL371+1 : TPTP v9.3.1. Released v9.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n012.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 01:09:54 PM UTC 2026
% Result : Theorem 13.13s 2.59s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LCL371+1 : TPTP v9.3.1. Released v9.1.0.
% 0.00/0.03 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.57 % Computer : n012.cluster.edu
% 0.08/0.57 % Model : x86_64 x86_64
% 0.08/0.57 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.57 % Memory : 8046.5625MB
% 0.08/0.57 % OS : Linux 6.8.0-71-generic
% 0.08/0.57 % CPULimit : 300
% 0.08/0.57 % WCLimit : 300
% 0.08/0.57 % DateTime : Mon Sep 21 00:24:38 UTC 2026
% 0.08/0.57 % CPUTime :
% 0.08/0.58 % Drodi V4.1.1
% 13.13/2.59 % Refutation found
% 13.13/2.59 % SZS status Theorem for theBenchmark: Theorem is valid
% 13.13/2.59 % SZS output start CNFRefutation for theBenchmark
% 13.13/2.59 fof(f1,axiom,(
% 13.13/2.59 (! [X,Y] :( ( is_a_theorem(implies(X,Y))& is_a_theorem(X) )=> is_a_theorem(Y) ) )),
% 13.13/2.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 13.13/2.59 fof(f2,axiom,(
% 13.13/2.59 (! [X,Y,Z] : is_a_theorem(implies(implies(X,Y),implies(implies(Y,Z),implies(X,Z)))) )),
% 13.13/2.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 13.13/2.59 fof(f3,axiom,(
% 13.13/2.59 (! [X] : is_a_theorem(implies(implies(not(X),X),X)) )),
% 13.13/2.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 13.13/2.59 fof(f4,axiom,(
% 13.13/2.59 (! [X,Y] : is_a_theorem(implies(X,implies(not(X),Y))) )),
% 13.13/2.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 13.13/2.59 fof(f5,conjecture,(
% 13.13/2.59 is_a_theorem(implies(implies(implies(x,y),y),implies(implies(y,x),x))) ),
% 13.13/2.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 13.13/2.59 fof(f6,negated_conjecture,(
% 13.13/2.59 ~(is_a_theorem(implies(implies(implies(x,y),y),implies(implies(y,x),x))) )),
% 13.13/2.59 inference(negated_conjecture,[status(cth)],[f5])).
% 13.13/2.59 fof(f7,plain,(
% 13.13/2.59 ![X,Y]: ((~is_a_theorem(implies(X,Y))|~is_a_theorem(X))|is_a_theorem(Y))),
% 13.13/2.59 inference(pre_NNF_transformation,[status(thm)],[f1])).
% 13.13/2.59 fof(f8,plain,(
% 13.13/2.59 ![Y]: ((![X]: (~is_a_theorem(implies(X,Y))|~is_a_theorem(X)))|is_a_theorem(Y))),
% 13.13/2.59 inference(miniscoping,[status(thm)],[f7])).
% 13.13/2.59 fof(f9,plain,(
% 13.13/2.59 ![X0,X1]: (~is_a_theorem(implies(X0,X1))|~is_a_theorem(X0)|is_a_theorem(X1))),
% 13.13/2.59 inference(cnf_transformation,[status(thm)],[f8])).
% 13.13/2.59 fof(f10,plain,(
% 13.13/2.59 ![X0,X1,X2]: (is_a_theorem(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2)))))),
% 13.13/2.59 inference(cnf_transformation,[status(thm)],[f2])).
% 13.13/2.59 fof(f11,plain,(
% 13.13/2.59 ![X0]: (is_a_theorem(implies(implies(not(X0),X0),X0)))),
% 13.13/2.59 inference(cnf_transformation,[status(thm)],[f3])).
% 13.13/2.59 fof(f12,plain,(
% 13.13/2.59 ![X0,X1]: (is_a_theorem(implies(X0,implies(not(X0),X1))))),
% 13.13/2.59 inference(cnf_transformation,[status(thm)],[f4])).
% 13.13/2.59 fof(f13,plain,(
% 13.13/2.59 ~is_a_theorem(implies(implies(implies(x,y),y),implies(implies(y,x),x)))),
% 13.13/2.59 inference(cnf_transformation,[status(thm)],[f6])).
% 13.13/2.59 fof(f14,plain,(
% 13.13/2.59 ![X0,X1,X2]: (~is_a_theorem(implies(X0,X1))|is_a_theorem(implies(implies(X1,X2),implies(X0,X2))))),
% 13.13/2.59 inference(resolution,[status(thm)],[f10,f9])).
% 13.13/2.59 fof(f15,plain,(
% 13.13/2.59 ![X0,X1,X2,X3]: (is_a_theorem(implies(implies(implies(implies(X0,X1),implies(X2,X1)),X3),implies(implies(X2,X0),X3))))),
% 13.13/2.59 inference(resolution,[status(thm)],[f14,f10])).
% 13.13/2.59 fof(f17,plain,(
% 13.13/2.59 ![X0,X1,X2,X3]: (~is_a_theorem(implies(implies(implies(X0,X1),implies(X2,X1)),X3))|is_a_theorem(implies(implies(X2,X0),X3)))),
% 13.13/2.59 inference(resolution,[status(thm)],[f15,f9])).
% 13.13/2.59 fof(f22,plain,(
% 13.13/2.59 ![X0,X1,X2,X3]: (is_a_theorem(implies(implies(X0,X1),implies(implies(implies(X0,X2),X3),implies(implies(X1,X2),X3)))))),
% 13.13/2.59 inference(resolution,[status(thm)],[f17,f10])).
% 13.13/2.59 fof(f28,plain,(
% 13.13/2.59 ![X0,X1,X2,X3]: (~is_a_theorem(implies(X0,X1))|is_a_theorem(implies(implies(implies(X0,X2),X3),implies(implies(X1,X2),X3))))),
% 13.13/2.59 inference(resolution,[status(thm)],[f22,f9])).
% 13.13/2.59 fof(f37,plain,(
% 13.13/2.59 ![X0,X1,X2,X3]: (~is_a_theorem(implies(X0,X1))|~is_a_theorem(implies(implies(X0,X2),X3))|is_a_theorem(implies(implies(X1,X2),X3)))),
% 13.13/2.59 inference(resolution,[status(thm)],[f28,f9])).
% 13.13/2.59 fof(f45,plain,(
% 13.13/2.59 ![X0]: (~is_a_theorem(implies(X0,implies(x,y)))|~is_a_theorem(implies(implies(X0,y),implies(implies(y,x),x))))),
% 13.13/2.59 inference(resolution,[status(thm)],[f37,f13])).
% 13.13/2.59 fof(f55,plain,(
% 13.13/2.59 ![X0,X1]: (is_a_theorem(implies(implies(X0,X1),implies(implies(not(X0),X0),X1))))),
% 13.13/2.59 inference(resolution,[status(thm)],[f11,f14])).
% 13.13/2.59 fof(f58,plain,(
% 13.13/2.59 ![X0,X1,X2]: (is_a_theorem(implies(implies(implies(not(X0),X1),X2),implies(X0,X2))))),
% 13.13/2.59 inference(resolution,[status(thm)],[f12,f14])).
% 13.13/2.59 fof(f59,plain,(
% 13.13/2.59 ![X0,X1]: (~is_a_theorem(X0)|is_a_theorem(implies(not(X0),X1)))),
% 13.13/2.59 inference(resolution,[status(thm)],[f12,f9])).
% 13.13/2.59 fof(f62,plain,(
% 13.13/2.59 ![X0,X1,X2]: (~is_a_theorem(X0)|is_a_theorem(implies(implies(X1,X2),implies(not(X0),X2))))),
% 13.13/2.59 inference(resolution,[status(thm)],[f59,f14])).
% 13.13/2.59 fof(f72,plain,(
% 13.13/2.59 ![X0,X1,X2]: (is_a_theorem(implies(implies(implies(implies(not(X0),X0),X1),X2),implies(implies(X0,X1),X2))))),
% 13.13/2.59 inference(resolution,[status(thm)],[f55,f14])).
% 13.13/2.59 fof(f73,plain,(
% 13.13/2.59 ![X0,X1]: (~is_a_theorem(implies(X0,X1))|is_a_theorem(implies(implies(not(X0),X0),X1)))),
% 13.13/2.59 inference(resolution,[status(thm)],[f55,f9])).
% 13.13/2.59 fof(f75,plain,(
% 13.13/2.59 ![X0,X1,X2,X3]: (is_a_theorem(implies(implies(implies(X0,X1),X2),implies(implies(implies(not(X0),X3),X1),X2))))),
% 13.13/2.59 inference(resolution,[status(thm)],[f58,f14])).
% 13.13/2.59 fof(f76,plain,(
% 13.13/2.59 ![X0,X1,X2]: (~is_a_theorem(implies(implies(not(X0),X1),X2))|is_a_theorem(implies(X0,X2)))),
% 13.13/2.59 inference(resolution,[status(thm)],[f58,f9])).
% 13.13/2.59 fof(f81,plain,(
% 13.13/2.59 ![X0,X1]: (~is_a_theorem(implies(X0,X1))|~is_a_theorem(implies(not(X0),X0))|is_a_theorem(X1))),
% 13.13/2.59 inference(resolution,[status(thm)],[f73,f9])).
% 13.13/2.59 fof(f85,plain,(
% 13.13/2.59 ![X0]: (is_a_theorem(implies(X0,X0)))),
% 13.13/2.59 inference(resolution,[status(thm)],[f76,f11])).
% 13.13/2.59 fof(f88,plain,(
% 13.13/2.59 ![X0,X1,X2]: (is_a_theorem(implies(X0,implies(not(X1),X2)))|~is_a_theorem(X1))),
% 13.13/2.59 inference(resolution,[status(thm)],[f76,f62])).
% 13.13/2.59 fof(f118,plain,(
% 13.13/2.59 ![X0,X1,X2]: (is_a_theorem(implies(implies(X0,implies(not(X1),X1)),implies(implies(X1,X2),implies(X0,X2)))))),
% 13.13/2.59 inference(resolution,[status(thm)],[f72,f17])).
% 13.13/2.59 fof(f121,plain,(
% 13.13/2.59 ![X0,X1,X2,X3]: (is_a_theorem(implies(implies(X0,X1),implies(implies(implies(not(X1),X2),X3),implies(X0,X3)))))),
% 13.13/2.59 inference(resolution,[status(thm)],[f75,f17])).
% 13.13/2.59 fof(f213,plain,(
% 13.13/2.59 ![X0,X1,X2]: (~is_a_theorem(implies(X0,X1))|~is_a_theorem(implies(X1,X2))|is_a_theorem(implies(X0,X2)))),
% 13.13/2.59 inference(resolution,[status(thm)],[f14,f9])).
% 13.13/2.59 fof(f337,plain,(
% 13.13/2.59 ![X0,X1,X2,X3]: (~is_a_theorem(implies(X0,implies(implies(not(X1),X2),X3)))|is_a_theorem(implies(X0,implies(X1,X3))))),
% 13.13/2.59 inference(resolution,[status(thm)],[f213,f58])).
% 13.13/2.59 fof(f338,plain,(
% 13.13/2.59 ![X0,X1,X2]: (~is_a_theorem(implies(X0,implies(not(X1),X1)))|is_a_theorem(implies(X0,X2))|~is_a_theorem(implies(X1,X2)))),
% 13.13/2.59 inference(resolution,[status(thm)],[f213,f73])).
% 13.13/2.59 fof(f339,plain,(
% 13.13/2.59 ![X0,X1]: (~is_a_theorem(implies(X0,implies(not(X1),X1)))|is_a_theorem(implies(X0,X1)))),
% 13.13/2.59 inference(resolution,[status(thm)],[f213,f11])).
% 13.13/2.59 fof(f355,plain,(
% 13.13/2.59 ![X0,X1]: (is_a_theorem(implies(implies(X0,X1),X1))|~is_a_theorem(implies(not(X1),X0)))),
% 13.13/2.59 inference(resolution,[status(thm)],[f339,f14])).
% 13.13/2.59 fof(f359,plain,(
% 13.13/2.59 ![X0,X1]: (is_a_theorem(implies(X0,X1))|~is_a_theorem(X1))),
% 13.13/2.59 inference(resolution,[status(thm)],[f339,f88])).
% 13.13/2.59 fof(f377,plain,(
% 13.13/2.59 ![X0,X1]: (is_a_theorem(implies(X0,implies(X1,X1))))),
% 13.13/2.59 inference(resolution,[status(thm)],[f359,f85])).
% 13.13/2.59 fof(f384,plain,(
% 13.13/2.59 ![X0,X1,X2]: (is_a_theorem(implies(X0,implies(X1,implies(X2,X2)))))),
% 13.13/2.59 inference(resolution,[status(thm)],[f377,f359])).
% 13.13/2.59 fof(f418,plain,(
% 13.13/2.59 ![X0,X1,X2]: (~is_a_theorem(implies(implies(X0,implies(X1,X1)),X2))|is_a_theorem(X2))),
% 13.13/2.59 inference(resolution,[status(thm)],[f384,f81])).
% 13.13/2.59 fof(f474,plain,(
% 13.13/2.59 ![X0,X1,X2]: (is_a_theorem(implies(implies(implies(X0,X0),X1),implies(X2,X1))))),
% 13.13/2.59 inference(resolution,[status(thm)],[f418,f10])).
% 13.13/2.59 fof(f570,plain,(
% 13.13/2.59 ![X0,X1]: (is_a_theorem(implies(implies(implies(X0,X0),X1),X1)))),
% 13.13/2.59 inference(resolution,[status(thm)],[f474,f339])).
% 13.13/2.59 fof(f580,plain,(
% 13.13/2.59 ![X0,X1,X2]: (~is_a_theorem(implies(X0,implies(implies(X1,X1),X2)))|is_a_theorem(implies(X0,X2)))),
% 13.13/2.59 inference(resolution,[status(thm)],[f570,f213])).
% 13.13/2.59 fof(f704,plain,(
% 13.13/2.59 ![X0,X1]: (~is_a_theorem(implies(not(X0),X1))|~is_a_theorem(implies(X1,X0))|is_a_theorem(X0))),
% 13.13/2.59 inference(resolution,[status(thm)],[f355,f9])).
% 13.13/2.59 fof(f3785,plain,(
% 13.13/2.59 ![X0,X1]: (is_a_theorem(implies(implies(X0,implies(not(X1),X1)),implies(X0,X1))))),
% 13.13/2.59 inference(resolution,[status(thm)],[f580,f118])).
% 13.13/2.59 fof(f3790,plain,(
% 13.13/2.59 ![X0,X1,X2]: (is_a_theorem(implies(implies(X0,X1),implies(X0,implies(not(X1),X2)))))),
% 13.13/2.59 inference(resolution,[status(thm)],[f580,f121])).
% 13.13/2.59 fof(f4314,plain,(
% 13.13/2.59 ![X0,X1]: (is_a_theorem(implies(implies(not(X0),X1),implies(implies(X1,X0),X0))))),
% 13.13/2.59 inference(resolution,[status(thm)],[f3785,f17])).
% 13.13/2.59 fof(f4891,plain,(
% 13.13/2.59 ![X0,X1]: (is_a_theorem(implies(X0,implies(implies(X1,X0),X0))))),
% 13.13/2.59 inference(resolution,[status(thm)],[f4314,f76])).
% 13.13/2.59 fof(f4894,plain,(
% 13.13/2.59 ~is_a_theorem(implies(not(x),implies(x,y)))),
% 13.13/2.59 inference(resolution,[status(thm)],[f4314,f45])).
% 13.13/2.60 fof(f4935,plain,(
% 13.13/2.60 ![X0,X1]: (is_a_theorem(implies(X0,implies(X1,X0))))),
% 13.13/2.60 inference(resolution,[status(thm)],[f4891,f337])).
% 13.13/2.60 fof(f4978,plain,(
% 13.13/2.60 ![X0,X1,X2]: (is_a_theorem(implies(X0,implies(X1,implies(X2,X1)))))),
% 13.13/2.60 inference(resolution,[status(thm)],[f4935,f359])).
% 13.13/2.60 fof(f4981,plain,(
% 13.13/2.60 ![X0,X1,X2]: (~is_a_theorem(implies(implies(X0,implies(X1,X0)),X2))|is_a_theorem(X2))),
% 13.13/2.60 inference(resolution,[status(thm)],[f4978,f704])).
% 13.13/2.60 fof(f5587,plain,(
% 13.13/2.60 ![X0,X1,X2]: (is_a_theorem(implies(X0,implies(not(implies(X1,X0)),X2))))),
% 13.13/2.60 inference(resolution,[status(thm)],[f4981,f3790])).
% 13.13/2.60 fof(f5768,plain,(
% 13.13/2.60 ![X0,X1,X2]: (is_a_theorem(implies(X0,X1))|~is_a_theorem(implies(implies(X2,X0),X1)))),
% 13.13/2.60 inference(resolution,[status(thm)],[f5587,f338])).
% 13.13/2.60 fof(f6243,plain,(
% 13.13/2.60 ![X0,X1]: (is_a_theorem(implies(X0,implies(implies(X0,X1),X1))))),
% 13.13/2.60 inference(resolution,[status(thm)],[f5768,f4314])).
% 13.13/2.60 fof(f6333,plain,(
% 13.13/2.60 ![X0,X1]: (is_a_theorem(implies(not(X0),implies(X0,X1))))),
% 13.13/2.60 inference(resolution,[status(thm)],[f6243,f337])).
% 13.13/2.60 fof(f6345,plain,(
% 13.13/2.60 $false),
% 13.13/2.60 inference(backward_subsumption_resolution,[status(thm)],[f4894,f6333])).
% 13.13/2.60 % SZS output end CNFRefutation for theBenchmark.p
% 0.46/2.62 % Elapsed time: 2.027909 seconds
% 0.46/2.62 % CPU time: 15.808943 seconds
% 0.46/2.62 % Total memory used: 239.520 MB
% 0.46/2.62 % Net memory used: 210.603 MB
%------------------------------------------------------------------------------