%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : LCL365+1 : TPTP v9.3.1. Released v9.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n011.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 2.00s 0.85s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL365+1 : TPTP v9.3.1. Released v9.1.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.37 % Computer : n011.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.38 % CPULimit : 300
% 0.10/0.38 % WCLimit : 300
% 0.10/0.38 % DateTime : Mon Sep 21 00:24:10 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.10/0.39 % Drodi V4.1.1
% 2.00/0.85 % Refutation found
% 2.00/0.85 % SZS status Theorem for theBenchmark: Theorem is valid
% 2.00/0.85 % SZS output start CNFRefutation for theBenchmark
% 2.00/0.85 fof(f1,axiom,(
% 2.00/0.85 (! [X,Y] :( ( is_a_theorem(implies(X,Y))& is_a_theorem(X) )=> is_a_theorem(Y) ) )),
% 2.00/0.85 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.00/0.85 fof(f2,axiom,(
% 2.00/0.85 (! [X,Y,Z] : is_a_theorem(implies(implies(X,Y),implies(implies(Y,Z),implies(X,Z)))) )),
% 2.00/0.85 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.00/0.85 fof(f3,axiom,(
% 2.00/0.85 (! [X] : is_a_theorem(implies(implies(not(X),X),X)) )),
% 2.00/0.85 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.00/0.85 fof(f4,axiom,(
% 2.00/0.85 (! [X,Y] : is_a_theorem(implies(X,implies(not(X),Y))) )),
% 2.00/0.85 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.00/0.85 fof(f5,conjecture,(
% 2.00/0.85 is_a_theorem(implies(implies(implies(x,implies(implies(y,z),z)),u),implies(implies(not(z),y),u))) ),
% 2.00/0.85 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.00/0.85 fof(f6,negated_conjecture,(
% 2.00/0.85 ~(is_a_theorem(implies(implies(implies(x,implies(implies(y,z),z)),u),implies(implies(not(z),y),u))) )),
% 2.00/0.85 inference(negated_conjecture,[status(cth)],[f5])).
% 2.00/0.85 fof(f7,plain,(
% 2.00/0.85 ![X,Y]: ((~is_a_theorem(implies(X,Y))|~is_a_theorem(X))|is_a_theorem(Y))),
% 2.00/0.85 inference(pre_NNF_transformation,[status(thm)],[f1])).
% 2.00/0.85 fof(f8,plain,(
% 2.00/0.85 ![Y]: ((![X]: (~is_a_theorem(implies(X,Y))|~is_a_theorem(X)))|is_a_theorem(Y))),
% 2.00/0.85 inference(miniscoping,[status(thm)],[f7])).
% 2.00/0.85 fof(f9,plain,(
% 2.00/0.85 ![X0,X1]: (~is_a_theorem(implies(X0,X1))|~is_a_theorem(X0)|is_a_theorem(X1))),
% 2.00/0.85 inference(cnf_transformation,[status(thm)],[f8])).
% 2.00/0.85 fof(f10,plain,(
% 2.00/0.85 ![X0,X1,X2]: (is_a_theorem(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2)))))),
% 2.00/0.85 inference(cnf_transformation,[status(thm)],[f2])).
% 2.00/0.85 fof(f11,plain,(
% 2.00/0.85 ![X0]: (is_a_theorem(implies(implies(not(X0),X0),X0)))),
% 2.00/0.85 inference(cnf_transformation,[status(thm)],[f3])).
% 2.00/0.85 fof(f12,plain,(
% 2.00/0.85 ![X0,X1]: (is_a_theorem(implies(X0,implies(not(X0),X1))))),
% 2.00/0.85 inference(cnf_transformation,[status(thm)],[f4])).
% 2.00/0.85 fof(f13,plain,(
% 2.00/0.85 ~is_a_theorem(implies(implies(implies(x,implies(implies(y,z),z)),u),implies(implies(not(z),y),u)))),
% 2.00/0.85 inference(cnf_transformation,[status(thm)],[f6])).
% 2.00/0.85 fof(f14,plain,(
% 2.00/0.85 ![X0,X1,X2]: (~is_a_theorem(implies(X0,X1))|is_a_theorem(implies(implies(X1,X2),implies(X0,X2))))),
% 2.00/0.85 inference(resolution,[status(thm)],[f10,f9])).
% 2.00/0.85 fof(f16,plain,(
% 2.00/0.85 ![X0,X1]: (~is_a_theorem(X0)|is_a_theorem(implies(not(X0),X1)))),
% 2.00/0.85 inference(resolution,[status(thm)],[f12,f9])).
% 2.00/0.85 fof(f17,plain,(
% 2.00/0.85 ~is_a_theorem(implies(implies(not(z),y),implies(x,implies(implies(y,z),z))))),
% 2.00/0.85 inference(resolution,[status(thm)],[f14,f13])).
% 2.00/0.85 fof(f18,plain,(
% 2.00/0.85 ![X0,X1,X2]: (~is_a_theorem(implies(X0,X1))|~is_a_theorem(implies(X1,X2))|is_a_theorem(implies(X0,X2)))),
% 2.00/0.85 inference(resolution,[status(thm)],[f14,f9])).
% 2.00/0.85 fof(f29,plain,(
% 2.00/0.85 ![X0]: (~is_a_theorem(implies(implies(not(z),y),X0))|~is_a_theorem(implies(X0,implies(x,implies(implies(y,z),z)))))),
% 2.00/0.85 inference(resolution,[status(thm)],[f18,f17])).
% 2.00/0.85 fof(f77,plain,(
% 2.00/0.85 ![X0,X1]: (~is_a_theorem(implies(X0,implies(not(X1),X1)))|is_a_theorem(implies(X0,X1)))),
% 2.00/0.85 inference(resolution,[status(thm)],[f18,f11])).
% 2.00/0.85 fof(f78,plain,(
% 2.00/0.85 ![X0,X1,X2,X3]: (~is_a_theorem(implies(X0,implies(X1,X2)))|is_a_theorem(implies(X0,implies(implies(X2,X3),implies(X1,X3)))))),
% 2.00/0.85 inference(resolution,[status(thm)],[f18,f10])).
% 2.00/0.85 fof(f79,plain,(
% 2.00/0.85 ![X0,X1,X2,X3]: (~is_a_theorem(implies(X0,implies(X1,X2)))|is_a_theorem(implies(X0,implies(X3,X2)))|~is_a_theorem(implies(X3,X1)))),
% 2.00/0.85 inference(resolution,[status(thm)],[f18,f14])).
% 2.00/0.85 fof(f104,plain,(
% 2.00/0.85 ![X0]: (is_a_theorem(implies(X0,X0)))),
% 2.00/0.85 inference(resolution,[status(thm)],[f77,f12])).
% 2.00/0.85 fof(f107,plain,(
% 2.00/0.85 ![X0,X1,X2,X3]: (is_a_theorem(implies(implies(X0,X1),implies(implies(implies(X0,X2),X3),implies(implies(X1,X2),X3)))))),
% 2.00/0.85 inference(resolution,[status(thm)],[f78,f10])).
% 2.00/0.85 fof(f110,plain,(
% 2.00/0.85 ![X0,X1,X2,X3]: (~is_a_theorem(implies(X0,implies(X1,X2)))|is_a_theorem(implies(X0,implies(not(X3),X2)))|~is_a_theorem(X3))),
% 2.00/0.85 inference(resolution,[status(thm)],[f79,f16])).
% 2.00/0.85 fof(f111,plain,(
% 2.00/0.85 ![X0,X1,X2]: (~is_a_theorem(implies(X0,implies(X1,X2)))|is_a_theorem(implies(X0,implies(implies(not(X1),X1),X2))))),
% 2.00/0.87 inference(resolution,[status(thm)],[f79,f11])).
% 2.00/0.87 fof(f144,plain,(
% 2.00/0.87 ![X0]: (~is_a_theorem(implies(implies(not(z),y),implies(X0,implies(implies(y,z),z))))|~is_a_theorem(implies(x,X0)))),
% 2.00/0.87 inference(resolution,[status(thm)],[f29,f14])).
% 2.00/0.87 fof(f517,plain,(
% 2.00/0.87 ![X0,X1,X2]: (is_a_theorem(implies(X0,implies(not(X1),X2)))|~is_a_theorem(X1))),
% 2.00/0.87 inference(resolution,[status(thm)],[f110,f12])).
% 2.00/0.87 fof(f546,plain,(
% 2.00/0.87 ![X0,X1,X2]: (is_a_theorem(implies(X0,implies(not(implies(X1,X1)),X2))))),
% 2.00/0.87 inference(resolution,[status(thm)],[f517,f104])).
% 2.00/0.87 fof(f555,plain,(
% 2.00/0.87 ![X0,X1]: (is_a_theorem(implies(X0,implies(X1,X1))))),
% 2.00/0.87 inference(resolution,[status(thm)],[f546,f77])).
% 2.00/0.87 fof(f641,plain,(
% 2.00/0.87 ![X0,X1]: (is_a_theorem(implies(X0,implies(implies(not(X1),X1),X1))))),
% 2.00/0.87 inference(resolution,[status(thm)],[f555,f111])).
% 2.00/0.87 fof(f795,plain,(
% 2.00/0.87 ~is_a_theorem(implies(x,implies(implies(not(z),z),z)))),
% 2.00/0.87 inference(resolution,[status(thm)],[f144,f107])).
% 2.00/0.87 fof(f1286,plain,(
% 2.00/0.87 $false),
% 2.00/0.87 inference(forward_subsumption_resolution,[status(thm)],[f795,f641])).
% 2.00/0.87 % SZS output end CNFRefutation for theBenchmark.p
% 2.00/0.88 % Elapsed time: 0.485215 seconds
% 2.00/0.88 % CPU time: 3.565836 seconds
% 2.00/0.88 % Total memory used: 116.214 MB
% 2.00/0.88 % Net memory used: 109.040 MB
%------------------------------------------------------------------------------