%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : LCL982+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 : n026.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 01:11:30 PM UTC 2026
% Result : Theorem 0.07s 0.38s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL982+1 : TPTP v9.3.1. Released v9.1.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.07/0.35 % Computer : n026.cluster.edu
% 0.07/0.35 % Model : x86_64 x86_64
% 0.07/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.35 % Memory : 8046.5625MB
% 0.07/0.35 % OS : Linux 6.8.0-71-generic
% 0.07/0.35 % CPULimit : 300
% 0.07/0.35 % WCLimit : 300
% 0.07/0.35 % DateTime : Mon Sep 21 01:18:21 UTC 2026
% 0.07/0.35 % CPUTime :
% 0.07/0.36 % Drodi V4.1.1
% 0.07/0.38 % Refutation found
% 0.07/0.38 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.07/0.38 % SZS output start CNFRefutation for theBenchmark
% 0.07/0.38 fof(f1,axiom,(
% 0.07/0.38 (! [X,Y] :( ~ is_a_theorem(implies(X,Y))| ~ is_a_theorem(X)| is_a_theorem(Y) ) )),
% 0.07/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.07/0.38 fof(f2,axiom,(
% 0.07/0.38 (! [A,B,C,D,E] :is_a_theorem(implies(implies(A,B),implies(implies(implies(C,implies(D,E)),implies(B,implies(not(D),not(A)))),implies(A,D)))) )),
% 0.07/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.07/0.38 fof(f3,conjecture,(
% 0.07/0.38 (! [A,B,C] :is_a_theorem(implies(implies(A,B),implies(implies(B,C),implies(A,C)))) )),
% 0.07/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.07/0.38 fof(f4,negated_conjecture,(
% 0.07/0.38 ~((! [A,B,C] :is_a_theorem(implies(implies(A,B),implies(implies(B,C),implies(A,C)))) ))),
% 0.07/0.38 inference(negated_conjecture,[status(cth)],[f3])).
% 0.07/0.38 fof(f5,plain,(
% 0.07/0.38 ![Y]: ((![X]: (~is_a_theorem(implies(X,Y))|~is_a_theorem(X)))|is_a_theorem(Y))),
% 0.07/0.38 inference(miniscoping,[status(thm)],[f1])).
% 0.07/0.38 fof(f6,plain,(
% 0.07/0.38 ![X0,X1]: (~is_a_theorem(implies(X0,X1))|~is_a_theorem(X0)|is_a_theorem(X1))),
% 0.07/0.38 inference(cnf_transformation,[status(thm)],[f5])).
% 0.07/0.38 fof(f7,plain,(
% 0.07/0.38 ![X0,X1,X2,X3,X4]: (is_a_theorem(implies(implies(X0,X1),implies(implies(implies(X2,implies(X3,X4)),implies(X1,implies(not(X3),not(X0)))),implies(X0,X3)))))),
% 0.07/0.38 inference(cnf_transformation,[status(thm)],[f2])).
% 0.07/0.38 fof(f8,plain,(
% 0.07/0.38 (?[A,B,C]: ~is_a_theorem(implies(implies(A,B),implies(implies(B,C),implies(A,C)))))),
% 0.07/0.38 inference(pre_NNF_transformation,[status(thm)],[f4])).
% 0.07/0.38 fof(f9,plain,(
% 0.07/0.38 ~is_a_theorem(implies(implies(sK0_skl,sK1_skl),implies(implies(sK1_skl,sK2_skl),implies(sK0_skl,sK2_skl))))),
% 0.07/0.38 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl,sK1_skl,sK2_skl]),skolemize(A,sK0_skl),skolemize(B,sK1_skl),skolemize(C,sK2_skl)],[f8])).
% 0.07/0.38 fof(f10,plain,(
% 0.07/0.38 ~is_a_theorem(implies(implies(sK0_skl,sK1_skl),implies(implies(sK1_skl,sK2_skl),implies(sK0_skl,sK2_skl))))),
% 0.07/0.38 inference(cnf_transformation,[status(thm)],[f9])).
% 0.07/0.38 fof(f11,plain,(
% 0.07/0.38 ![X0,X1,X2,X3,X4]: (~is_a_theorem(implies(X0,X1))|is_a_theorem(implies(implies(implies(X2,implies(X3,X4)),implies(X1,implies(not(X3),not(X0)))),implies(X0,X3))))),
% 0.07/0.38 inference(resolution,[status(thm)],[f7,f6])).
% 0.07/0.38 fof(f12,plain,(
% 0.07/0.38 ![X0,X1,X2,X3,X4,X5,X6,X7]: (is_a_theorem(implies(implies(implies(X0,implies(X1,X2)),implies(implies(implies(implies(X3,implies(X4,X5)),implies(X6,implies(not(X4),not(X7)))),implies(X7,X4)),implies(not(X1),not(implies(X7,X6))))),implies(implies(X7,X6),X1))))),
% 0.07/0.38 inference(resolution,[status(thm)],[f11,f7])).
% 0.07/0.38 fof(f13,plain,(
% 0.07/0.38 ![X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10]: (is_a_theorem(implies(implies(implies(X0,implies(X1,X2)),implies(implies(implies(X3,X4),X5),implies(not(X1),not(implies(implies(X6,implies(X5,X7)),implies(implies(implies(implies(X8,implies(X9,X10)),implies(X4,implies(not(X9),not(X3)))),implies(X3,X9)),implies(not(X5),not(implies(X3,X4))))))))),implies(implies(implies(X6,implies(X5,X7)),implies(implies(implies(implies(X8,implies(X9,X10)),implies(X4,implies(not(X9),not(X3)))),implies(X3,X9)),implies(not(X5),not(implies(X3,X4))))),X1))))),
% 0.07/0.38 inference(resolution,[status(thm)],[f12,f11])).
% 0.07/0.38 fof(f14,plain,(
% 0.07/0.38 ![X0,X1,X2,X3,X4,X5,X6,X7]: (~is_a_theorem(implies(implies(X0,implies(X1,X2)),implies(implies(implies(implies(X3,implies(X4,X5)),implies(X6,implies(not(X4),not(X7)))),implies(X7,X4)),implies(not(X1),not(implies(X7,X6))))))|is_a_theorem(implies(implies(X7,X6),X1)))),
% 0.07/0.38 inference(resolution,[status(thm)],[f12,f6])).
% 0.07/0.38 fof(f15,plain,(
% 0.07/0.38 ![X0,X1,X2,X3,X4,X5,X6,X7]: (is_a_theorem(implies(implies(X0,X1),implies(implies(implies(X2,implies(X3,X4)),implies(implies(X0,X5),implies(not(X3),not(implies(implies(X6,implies(X5,X7)),implies(X1,implies(not(X5),not(X0)))))))),implies(implies(implies(X6,implies(X5,X7)),implies(X1,implies(not(X5),not(X0)))),X3)))))),
% 0.07/0.38 inference(resolution,[status(thm)],[f14,f12])).
% 0.07/0.38 fof(f16,plain,(
% 0.07/0.38 ![X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10]: (is_a_theorem(implies(implies(implies(X0,implies(X1,X2)),implies(implies(implies(implies(X3,implies(X4,X5)),implies(implies(X6,X7),implies(not(X4),not(implies(implies(X8,implies(X7,X9)),implies(X10,implies(not(X7),not(X6)))))))),implies(implies(implies(X8,implies(X7,X9)),implies(X10,implies(not(X7),not(X6)))),X4)),implies(not(X1),not(implies(X6,X10))))),implies(implies(X6,X10),X1))))),
% 0.07/0.38 inference(resolution,[status(thm)],[f15,f11])).
% 0.07/0.38 fof(f24,plain,(
% 0.07/0.38 ![X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10]: (~is_a_theorem(implies(implies(X0,implies(X1,X2)),implies(implies(implies(implies(X3,implies(X4,X5)),implies(implies(X6,X7),implies(not(X4),not(implies(implies(X8,implies(X7,X9)),implies(X10,implies(not(X7),not(X6)))))))),implies(implies(implies(X8,implies(X7,X9)),implies(X10,implies(not(X7),not(X6)))),X4)),implies(not(X1),not(implies(X6,X10))))))|is_a_theorem(implies(implies(X6,X10),X1)))),
% 0.07/0.38 inference(resolution,[status(thm)],[f16,f6])).
% 0.07/0.38 fof(f27,plain,(
% 0.07/0.38 ![X0,X1,X2]: (is_a_theorem(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2)))))),
% 0.07/0.38 inference(resolution,[status(thm)],[f13,f24])).
% 0.07/0.38 fof(f33,plain,(
% 0.07/0.38 $false),
% 0.07/0.38 inference(backward_subsumption_resolution,[status(thm)],[f10,f27])).
% 0.07/0.38 % SZS output end CNFRefutation for theBenchmark.p
% 0.12/0.43 % Elapsed time: 0.056315 seconds
% 0.12/0.43 % CPU time: 0.172508 seconds
% 0.12/0.43 % Total memory used: 49.732 MB
% 0.12/0.43 % Net memory used: 49.282 MB
%------------------------------------------------------------------------------