%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : LCL384+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 : 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 01:09:57 PM UTC 2026
% Result : Theorem 15.95s 2.48s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LCL384+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 : n008.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 00:27:08 UTC 2026
% 0.07/0.35 % CPUTime :
% 0.07/0.36 % Drodi V4.1.1
% 15.95/2.48 % Refutation found
% 15.95/2.48 % SZS status Theorem for theBenchmark: Theorem is valid
% 15.95/2.48 % SZS output start CNFRefutation for theBenchmark
% 15.95/2.48 fof(f1,axiom,(
% 15.95/2.48 (! [X,Y] :( ( is_a_theorem(implies(X,Y))& is_a_theorem(X) )=> is_a_theorem(Y) ) )),
% 15.95/2.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 15.95/2.48 fof(f2,axiom,(
% 15.95/2.48 (! [X,Y,Z] : is_a_theorem(implies(implies(X,Y),implies(implies(Y,Z),implies(X,Z)))) )),
% 15.95/2.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 15.95/2.48 fof(f3,axiom,(
% 15.95/2.48 (! [X] : is_a_theorem(implies(implies(not(X),X),X)) )),
% 15.95/2.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 15.95/2.48 fof(f4,axiom,(
% 15.95/2.48 (! [X,Y] : is_a_theorem(implies(X,implies(not(X),Y))) )),
% 15.95/2.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 15.95/2.48 fof(f5,conjecture,(
% 15.95/2.48 is_a_theorem(implies(implies(x,implies(y,z)),implies(implies(not(z),y),implies(x,z)))) ),
% 15.95/2.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 15.95/2.48 fof(f6,negated_conjecture,(
% 15.95/2.48 ~(is_a_theorem(implies(implies(x,implies(y,z)),implies(implies(not(z),y),implies(x,z)))) )),
% 15.95/2.48 inference(negated_conjecture,[status(cth)],[f5])).
% 15.95/2.48 fof(f7,plain,(
% 15.95/2.48 ![X,Y]: ((~is_a_theorem(implies(X,Y))|~is_a_theorem(X))|is_a_theorem(Y))),
% 15.95/2.48 inference(pre_NNF_transformation,[status(thm)],[f1])).
% 15.95/2.48 fof(f8,plain,(
% 15.95/2.48 ![Y]: ((![X]: (~is_a_theorem(implies(X,Y))|~is_a_theorem(X)))|is_a_theorem(Y))),
% 15.95/2.48 inference(miniscoping,[status(thm)],[f7])).
% 15.95/2.48 fof(f9,plain,(
% 15.95/2.48 ![X0,X1]: (~is_a_theorem(implies(X0,X1))|~is_a_theorem(X0)|is_a_theorem(X1))),
% 15.95/2.48 inference(cnf_transformation,[status(thm)],[f8])).
% 15.95/2.48 fof(f10,plain,(
% 15.95/2.48 ![X0,X1,X2]: (is_a_theorem(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2)))))),
% 15.95/2.48 inference(cnf_transformation,[status(thm)],[f2])).
% 15.95/2.48 fof(f11,plain,(
% 15.95/2.48 ![X0]: (is_a_theorem(implies(implies(not(X0),X0),X0)))),
% 15.95/2.48 inference(cnf_transformation,[status(thm)],[f3])).
% 15.95/2.48 fof(f12,plain,(
% 15.95/2.48 ![X0,X1]: (is_a_theorem(implies(X0,implies(not(X0),X1))))),
% 15.95/2.48 inference(cnf_transformation,[status(thm)],[f4])).
% 15.95/2.48 fof(f13,plain,(
% 15.95/2.48 ~is_a_theorem(implies(implies(x,implies(y,z)),implies(implies(not(z),y),implies(x,z))))),
% 15.95/2.48 inference(cnf_transformation,[status(thm)],[f6])).
% 15.95/2.48 fof(f25,plain,(
% 15.95/2.48 ![X0,X1,X2]: (~is_a_theorem(implies(X0,X1))|is_a_theorem(implies(implies(X1,X2),implies(X0,X2))))),
% 15.95/2.48 inference(resolution,[status(thm)],[f10,f9])).
% 15.95/2.48 fof(f26,plain,(
% 15.95/2.48 ![X0,X1,X2]: (~is_a_theorem(implies(X0,X1))|~is_a_theorem(implies(X1,X2))|is_a_theorem(implies(X0,X2)))),
% 15.95/2.48 inference(resolution,[status(thm)],[f25,f9])).
% 15.95/2.48 fof(f28,plain,(
% 15.95/2.48 ![X0]: (~is_a_theorem(implies(implies(x,implies(y,z)),X0))|~is_a_theorem(implies(X0,implies(implies(not(z),y),implies(x,z)))))),
% 15.95/2.48 inference(resolution,[status(thm)],[f26,f13])).
% 15.95/2.48 fof(f117,plain,(
% 15.95/2.48 ![X0,X1,X2,X3]: (is_a_theorem(implies(implies(implies(implies(X0,X1),implies(X2,X1)),X3),implies(implies(X2,X0),X3))))),
% 15.95/2.48 inference(resolution,[status(thm)],[f25,f10])).
% 15.95/2.48 fof(f118,plain,(
% 15.95/2.48 ![X0,X1,X2]: (is_a_theorem(implies(implies(implies(not(X0),X1),X2),implies(X0,X2))))),
% 15.95/2.48 inference(resolution,[status(thm)],[f25,f12])).
% 15.95/2.48 fof(f129,plain,(
% 15.95/2.48 ![X0,X1,X2]: (~is_a_theorem(implies(implies(not(X0),X1),X2))|is_a_theorem(implies(X0,X2)))),
% 15.95/2.48 inference(resolution,[status(thm)],[f118,f9])).
% 15.95/2.48 fof(f151,plain,(
% 15.95/2.48 ![X0,X1]: (~is_a_theorem(implies(X0,implies(not(X1),X1)))|is_a_theorem(implies(X0,X1)))),
% 15.95/2.48 inference(resolution,[status(thm)],[f26,f11])).
% 15.95/2.48 fof(f156,plain,(
% 15.95/2.48 ![X0]: (~is_a_theorem(implies(implies(implies(implies(y,z),X0),implies(x,X0)),implies(implies(not(z),y),implies(x,z)))))),
% 15.95/2.48 inference(resolution,[status(thm)],[f28,f10])).
% 15.95/2.48 fof(f161,plain,(
% 15.95/2.48 ![X0,X1,X2]: (is_a_theorem(implies(X0,implies(implies(X1,X2),implies(not(X0),X2)))))),
% 15.95/2.48 inference(resolution,[status(thm)],[f129,f10])).
% 15.95/2.48 fof(f313,plain,(
% 15.95/2.48 ![X0,X1,X2]: (~is_a_theorem(X0)|is_a_theorem(implies(implies(X1,X2),implies(not(X0),X2))))),
% 15.95/2.48 inference(resolution,[status(thm)],[f161,f9])).
% 15.95/2.48 fof(f322,plain,(
% 15.95/2.48 ![X0,X1,X2,X3]: (~is_a_theorem(implies(implies(implies(X0,X1),implies(X2,X1)),X3))|is_a_theorem(implies(implies(X2,X0),X3)))),
% 15.95/2.48 inference(resolution,[status(thm)],[f117,f9])).
% 15.95/2.48 fof(f596,plain,(
% 15.95/2.48 ![X0,X1,X2]: (is_a_theorem(implies(X0,implies(not(X1),X2)))|~is_a_theorem(X1))),
% 15.95/2.50 inference(resolution,[status(thm)],[f129,f313])).
% 15.95/2.50 fof(f626,plain,(
% 15.95/2.50 ![X0,X1]: (is_a_theorem(implies(implies(X0,X1),X1))|~is_a_theorem(implies(not(X1),X0)))),
% 15.95/2.50 inference(resolution,[status(thm)],[f151,f25])).
% 15.95/2.50 fof(f636,plain,(
% 15.95/2.50 ![X0,X1]: (is_a_theorem(implies(X0,X1))|~is_a_theorem(X1))),
% 15.95/2.50 inference(resolution,[status(thm)],[f151,f596])).
% 15.95/2.50 fof(f641,plain,(
% 15.95/2.50 ![X0,X1]: (is_a_theorem(implies(X0,implies(implies(not(X1),X1),X1))))),
% 15.95/2.50 inference(resolution,[status(thm)],[f636,f11])).
% 15.95/2.50 fof(f672,plain,(
% 15.95/2.50 ![X0,X1,X2,X3]: (~is_a_theorem(implies(implies(implies(X0,X1),implies(X2,X1)),X3))|is_a_theorem(implies(implies(X2,X0),X3)))),
% 15.95/2.50 inference(resolution,[status(thm)],[f117,f9])).
% 15.95/2.50 fof(f985,plain,(
% 15.95/2.50 ![X0,X1]: (is_a_theorem(implies(implies(implies(implies(not(X0),X0),X0),X1),X1)))),
% 15.95/2.50 inference(resolution,[status(thm)],[f626,f641])).
% 15.95/2.50 fof(f2762,plain,(
% 15.95/2.50 ![X0,X1]: (is_a_theorem(implies(implies(X0,implies(not(X1),X1)),implies(X0,X1))))),
% 15.95/2.50 inference(resolution,[status(thm)],[f322,f985])).
% 15.95/2.50 fof(f4366,plain,(
% 15.95/2.50 ![X0,X1]: (is_a_theorem(implies(implies(not(X0),X1),implies(implies(X1,X0),X0))))),
% 15.95/2.50 inference(resolution,[status(thm)],[f672,f2762])).
% 15.95/2.50 fof(f7314,plain,(
% 15.95/2.50 ~is_a_theorem(implies(implies(not(z),y),implies(implies(y,z),z)))),
% 15.95/2.50 inference(resolution,[status(thm)],[f156,f25])).
% 15.95/2.50 fof(f7319,plain,(
% 15.95/2.50 $false),
% 15.95/2.50 inference(forward_subsumption_resolution,[status(thm)],[f7314,f4366])).
% 15.95/2.50 % SZS output end CNFRefutation for theBenchmark.p
% 0.78/2.51 % Elapsed time: 2.145704 seconds
% 0.78/2.51 % CPU time: 16.644142 seconds
% 0.78/2.51 % Total memory used: 198.421 MB
% 0.78/2.51 % Net memory used: 174.951 MB
%------------------------------------------------------------------------------