%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : LCL368+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 : n019.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 01:09:53 PM UTC 2026
% Result : Theorem 16.23s 2.52s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LCL368+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
% 0.07/0.34 % Computer : n019.cluster.edu
% 0.07/0.34 % Model : x86_64 x86_64
% 0.07/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.34 % Memory : 8046.5625MB
% 0.07/0.34 % OS : Linux 6.8.0-71-generic
% 0.07/0.34 % CPULimit : 300
% 0.07/0.34 % WCLimit : 300
% 0.07/0.34 % DateTime : Mon Sep 21 00:24:36 UTC 2026
% 0.07/0.35 % CPUTime :
% 0.07/0.35 % Drodi V4.1.1
% 16.23/2.52 % Refutation found
% 16.23/2.52 % SZS status Theorem for theBenchmark: Theorem is valid
% 16.23/2.52 % SZS output start CNFRefutation for theBenchmark
% 16.23/2.52 fof(f1,axiom,(
% 16.23/2.52 (! [X,Y] :( ( is_a_theorem(implies(X,Y))& is_a_theorem(X) )=> is_a_theorem(Y) ) )),
% 16.23/2.52 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 16.23/2.52 fof(f2,axiom,(
% 16.23/2.52 (! [X,Y,Z] : is_a_theorem(implies(implies(X,Y),implies(implies(Y,Z),implies(X,Z)))) )),
% 16.23/2.52 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 16.23/2.52 fof(f3,axiom,(
% 16.23/2.52 (! [X] : is_a_theorem(implies(implies(not(X),X),X)) )),
% 16.23/2.52 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 16.23/2.52 fof(f4,axiom,(
% 16.23/2.52 (! [X,Y] : is_a_theorem(implies(X,implies(not(X),Y))) )),
% 16.23/2.52 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 16.23/2.52 fof(f5,conjecture,(
% 16.23/2.52 is_a_theorem(implies(implies(implies(x,implies(y,z)),u),implies(implies(y,implies(x,z)),u))) ),
% 16.23/2.52 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 16.23/2.52 fof(f6,negated_conjecture,(
% 16.23/2.52 ~(is_a_theorem(implies(implies(implies(x,implies(y,z)),u),implies(implies(y,implies(x,z)),u))) )),
% 16.23/2.52 inference(negated_conjecture,[status(cth)],[f5])).
% 16.23/2.52 fof(f7,plain,(
% 16.23/2.52 ![X,Y]: ((~is_a_theorem(implies(X,Y))|~is_a_theorem(X))|is_a_theorem(Y))),
% 16.23/2.52 inference(pre_NNF_transformation,[status(thm)],[f1])).
% 16.23/2.52 fof(f8,plain,(
% 16.23/2.52 ![Y]: ((![X]: (~is_a_theorem(implies(X,Y))|~is_a_theorem(X)))|is_a_theorem(Y))),
% 16.23/2.52 inference(miniscoping,[status(thm)],[f7])).
% 16.23/2.52 fof(f9,plain,(
% 16.23/2.52 ![X0,X1]: (~is_a_theorem(implies(X0,X1))|~is_a_theorem(X0)|is_a_theorem(X1))),
% 16.23/2.52 inference(cnf_transformation,[status(thm)],[f8])).
% 16.23/2.52 fof(f10,plain,(
% 16.23/2.52 ![X0,X1,X2]: (is_a_theorem(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2)))))),
% 16.23/2.52 inference(cnf_transformation,[status(thm)],[f2])).
% 16.23/2.52 fof(f11,plain,(
% 16.23/2.52 ![X0]: (is_a_theorem(implies(implies(not(X0),X0),X0)))),
% 16.23/2.52 inference(cnf_transformation,[status(thm)],[f3])).
% 16.23/2.52 fof(f12,plain,(
% 16.23/2.52 ![X0,X1]: (is_a_theorem(implies(X0,implies(not(X0),X1))))),
% 16.23/2.52 inference(cnf_transformation,[status(thm)],[f4])).
% 16.23/2.52 fof(f13,plain,(
% 16.23/2.52 ~is_a_theorem(implies(implies(implies(x,implies(y,z)),u),implies(implies(y,implies(x,z)),u)))),
% 16.23/2.52 inference(cnf_transformation,[status(thm)],[f6])).
% 16.23/2.52 fof(f15,plain,(
% 16.23/2.52 ![X0,X1]: (~is_a_theorem(X0)|is_a_theorem(implies(not(X0),X1)))),
% 16.23/2.52 inference(resolution,[status(thm)],[f9,f12])).
% 16.23/2.52 fof(f16,plain,(
% 16.23/2.52 ![X0,X1,X2]: (~is_a_theorem(implies(X0,X1))|is_a_theorem(implies(implies(X1,X2),implies(X0,X2))))),
% 16.23/2.52 inference(resolution,[status(thm)],[f10,f9])).
% 16.23/2.52 fof(f26,plain,(
% 16.23/2.52 ~is_a_theorem(implies(implies(y,implies(x,z)),implies(x,implies(y,z))))),
% 16.23/2.52 inference(resolution,[status(thm)],[f16,f13])).
% 16.23/2.52 fof(f27,plain,(
% 16.23/2.52 ![X0,X1,X2]: (~is_a_theorem(implies(X0,X1))|~is_a_theorem(implies(X1,X2))|is_a_theorem(implies(X0,X2)))),
% 16.23/2.52 inference(resolution,[status(thm)],[f16,f9])).
% 16.23/2.52 fof(f34,plain,(
% 16.23/2.52 ![X0]: (~is_a_theorem(implies(implies(y,implies(x,z)),X0))|~is_a_theorem(implies(X0,implies(x,implies(y,z)))))),
% 16.23/2.52 inference(resolution,[status(thm)],[f26,f27])).
% 16.23/2.52 fof(f51,plain,(
% 16.23/2.52 ![X0,X1]: (is_a_theorem(implies(not(implies(implies(not(X0),X0),X0)),X1)))),
% 16.23/2.52 inference(resolution,[status(thm)],[f11,f15])).
% 16.23/2.52 fof(f87,plain,(
% 16.23/2.52 ![X0,X1,X2,X3]: (is_a_theorem(implies(implies(implies(implies(X0,X1),implies(X2,X1)),X3),implies(implies(X2,X0),X3))))),
% 16.23/2.52 inference(resolution,[status(thm)],[f16,f10])).
% 16.23/2.52 fof(f88,plain,(
% 16.23/2.52 ![X0,X1,X2]: (is_a_theorem(implies(implies(implies(not(X0),X1),X2),implies(X0,X2))))),
% 16.23/2.52 inference(resolution,[status(thm)],[f16,f12])).
% 16.23/2.52 fof(f117,plain,(
% 16.23/2.52 ![X0,X1,X2]: (~is_a_theorem(implies(implies(not(X0),X1),X2))|is_a_theorem(implies(X0,X2)))),
% 16.23/2.52 inference(resolution,[status(thm)],[f88,f9])).
% 16.23/2.52 fof(f122,plain,(
% 16.23/2.52 ![X0,X1,X2,X3]: (~is_a_theorem(implies(X0,implies(implies(not(X1),X2),X3)))|is_a_theorem(implies(X0,implies(X1,X3))))),
% 16.23/2.52 inference(resolution,[status(thm)],[f27,f88])).
% 16.23/2.52 fof(f123,plain,(
% 16.23/2.52 ![X0,X1]: (~is_a_theorem(implies(X0,implies(not(X1),X1)))|is_a_theorem(implies(X0,X1)))),
% 16.23/2.52 inference(resolution,[status(thm)],[f27,f11])).
% 16.23/2.52 fof(f145,plain,(
% 16.23/2.52 ![X0,X1,X2]: (is_a_theorem(implies(X0,implies(implies(X1,X2),implies(not(X0),X2)))))),
% 16.23/2.52 inference(resolution,[status(thm)],[f117,f10])).
% 16.23/2.52 fof(f229,plain,(
% 16.23/2.52 ![X0,X1,X2,X3]: (~is_a_theorem(implies(implies(implies(X0,X1),implies(X2,X1)),X3))|is_a_theorem(implies(implies(X2,X0),X3)))),
% 16.23/2.55 inference(resolution,[status(thm)],[f87,f9])).
% 16.23/2.55 fof(f281,plain,(
% 16.23/2.55 ![X0,X1,X2]: (~is_a_theorem(X0)|is_a_theorem(implies(implies(X1,X2),implies(not(X0),X2))))),
% 16.23/2.55 inference(resolution,[status(thm)],[f145,f9])).
% 16.23/2.55 fof(f293,plain,(
% 16.23/2.55 ![X0]: (~is_a_theorem(implies(implies(implies(implies(x,z),X0),implies(y,X0)),implies(x,implies(y,z)))))),
% 16.23/2.55 inference(resolution,[status(thm)],[f34,f10])).
% 16.23/2.55 fof(f520,plain,(
% 16.23/2.55 ![X0,X1,X2]: (is_a_theorem(implies(X0,implies(not(X1),X2)))|~is_a_theorem(X1))),
% 16.23/2.55 inference(resolution,[status(thm)],[f117,f281])).
% 16.23/2.55 fof(f528,plain,(
% 16.23/2.55 ![X0,X1,X2,X3]: (is_a_theorem(implies(X0,X1))|~is_a_theorem(implies(implies(not(X0),X2),X3))|~is_a_theorem(implies(X3,X1)))),
% 16.23/2.55 inference(resolution,[status(thm)],[f117,f27])).
% 16.23/2.55 fof(f550,plain,(
% 16.23/2.55 ![X0,X1]: (is_a_theorem(implies(implies(X0,X1),X1))|~is_a_theorem(implies(not(X1),X0)))),
% 16.23/2.55 inference(resolution,[status(thm)],[f123,f16])).
% 16.23/2.55 fof(f562,plain,(
% 16.23/2.55 ![X0,X1]: (is_a_theorem(implies(X0,X1))|~is_a_theorem(X1))),
% 16.23/2.55 inference(resolution,[status(thm)],[f123,f520])).
% 16.23/2.55 fof(f575,plain,(
% 16.23/2.55 ![X0,X1]: (~is_a_theorem(implies(not(X0),X0))|is_a_theorem(implies(X1,X0)))),
% 16.23/2.55 inference(resolution,[status(thm)],[f562,f123])).
% 16.23/2.55 fof(f589,plain,(
% 16.23/2.55 ![X0,X1]: (is_a_theorem(implies(X0,implies(implies(not(X1),X1),X1))))),
% 16.23/2.55 inference(resolution,[status(thm)],[f575,f51])).
% 16.23/2.55 fof(f2002,plain,(
% 16.23/2.55 ![X0,X1]: (is_a_theorem(implies(implies(implies(implies(not(X0),X0),X0),X1),X1)))),
% 16.23/2.55 inference(resolution,[status(thm)],[f550,f589])).
% 16.23/2.55 fof(f3618,plain,(
% 16.23/2.55 ![X0,X1]: (is_a_theorem(implies(implies(X0,implies(not(X1),X1)),implies(X0,X1))))),
% 16.23/2.55 inference(resolution,[status(thm)],[f2002,f229])).
% 16.23/2.55 fof(f4516,plain,(
% 16.23/2.55 ![X0,X1]: (is_a_theorem(implies(implies(not(X0),X1),implies(implies(X1,X0),X0))))),
% 16.23/2.55 inference(resolution,[status(thm)],[f3618,f229])).
% 16.23/2.55 fof(f4538,plain,(
% 16.23/2.55 ~is_a_theorem(implies(x,implies(implies(x,z),z)))),
% 16.23/2.55 inference(resolution,[status(thm)],[f293,f16])).
% 16.23/2.55 fof(f5285,plain,(
% 16.23/2.55 ![X0,X1]: (is_a_theorem(implies(implies(not(X0),not(X1)),implies(X1,X0))))),
% 16.23/2.55 inference(resolution,[status(thm)],[f4516,f122])).
% 16.23/2.55 fof(f7535,plain,(
% 16.23/2.55 ![X0,X1,X2]: (is_a_theorem(implies(X0,X1))|~is_a_theorem(implies(implies(X2,X0),X1)))),
% 16.23/2.55 inference(resolution,[status(thm)],[f5285,f528])).
% 16.23/2.55 fof(f7647,plain,(
% 16.23/2.55 ![X0,X1]: (is_a_theorem(implies(X0,implies(implies(X0,X1),X1))))),
% 16.23/2.55 inference(resolution,[status(thm)],[f7535,f4516])).
% 16.23/2.55 fof(f7919,plain,(
% 16.23/2.55 $false),
% 16.23/2.55 inference(backward_subsumption_resolution,[status(thm)],[f4538,f7647])).
% 16.23/2.55 % SZS output end CNFRefutation for theBenchmark.p
% 2.79/2.57 % Elapsed time: 2.212221 seconds
% 2.79/2.57 % CPU time: 17.262247 seconds
% 2.79/2.57 % Total memory used: 231.704 MB
% 2.79/2.57 % Net memory used: 198.397 MB
%------------------------------------------------------------------------------