%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : LCL451+1 : TPTP v9.3.1. Bugfixed v9.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n017.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 01:10:06 PM UTC 2026
% Result : Theorem 0.14s 0.44s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL451+1 : TPTP v9.3.1. Bugfixed v9.2.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.39 % Computer : n017.cluster.edu
% 0.14/0.39 % Model : x86_64 x86_64
% 0.14/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.39 % Memory : 8046.5625MB
% 0.14/0.39 % OS : Linux 6.8.0-71-generic
% 0.14/0.39 % CPULimit : 300
% 0.14/0.39 % WCLimit : 300
% 0.14/0.39 % DateTime : Mon Sep 21 00:28:57 UTC 2026
% 0.14/0.40 % CPUTime :
% 0.14/0.41 % Drodi V4.1.1
% 0.14/0.44 % Refutation found
% 0.14/0.44 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.14/0.44 % SZS output start CNFRefutation for theBenchmark
% 0.14/0.44 fof(f6,axiom,(
% 0.14/0.44 ( implies_3<=> (! [X,Y,Z] : is_a_theorem(implies(implies(X,Y),implies(implies(Y,Z),implies(X,Z)))) )) ),
% 0.14/0.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.44 fof(f19,axiom,(
% 0.14/0.44 ( cn1<=> (! [P,Q,R] : is_a_theorem(implies(implies(P,Q),implies(implies(Q,R),implies(P,R)))) )) ),
% 0.14/0.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.44 fof(f39,axiom,(
% 0.14/0.44 implies_3 ),
% 0.14/0.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.44 fof(f53,conjecture,(
% 0.14/0.44 cn1 ),
% 0.14/0.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.44 fof(f54,negated_conjecture,(
% 0.14/0.44 ~(cn1 )),
% 0.14/0.44 inference(negated_conjecture,[status(cth)],[f53])).
% 0.14/0.44 fof(f81,plain,(
% 0.14/0.44 (~implies_3|(![X,Y,Z]: is_a_theorem(implies(implies(X,Y),implies(implies(Y,Z),implies(X,Z))))))&(implies_3|(?[X,Y,Z]: ~is_a_theorem(implies(implies(X,Y),implies(implies(Y,Z),implies(X,Z))))))),
% 0.14/0.44 inference(NNF_transformation,[status(thm)],[f6])).
% 0.14/0.44 fof(f82,plain,(
% 0.14/0.44 (~implies_3|(![X,Y,Z]: is_a_theorem(implies(implies(X,Y),implies(implies(Y,Z),implies(X,Z))))))&(implies_3|~is_a_theorem(implies(implies(sK10_skl,sK11_skl),implies(implies(sK11_skl,sK12_skl),implies(sK10_skl,sK12_skl)))))),
% 0.14/0.44 inference(skolemize,[status(esa),new_symbols(skolem,[sK10_skl,sK11_skl,sK12_skl]),skolemize(X,sK10_skl),skolemize(Y,sK11_skl),skolemize(Z,sK12_skl)],[f81])).
% 0.14/0.44 fof(f83,plain,(
% 0.14/0.44 ![X0,X1,X2]: (~implies_3|is_a_theorem(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2)))))),
% 0.14/0.44 inference(cnf_transformation,[status(thm)],[f82])).
% 0.14/0.44 fof(f133,plain,(
% 0.14/0.44 (~cn1|(![P,Q,R]: is_a_theorem(implies(implies(P,Q),implies(implies(Q,R),implies(P,R))))))&(cn1|(?[P,Q,R]: ~is_a_theorem(implies(implies(P,Q),implies(implies(Q,R),implies(P,R))))))),
% 0.14/0.44 inference(NNF_transformation,[status(thm)],[f19])).
% 0.14/0.44 fof(f134,plain,(
% 0.14/0.44 (~cn1|(![P,Q,R]: is_a_theorem(implies(implies(P,Q),implies(implies(Q,R),implies(P,R))))))&(cn1|~is_a_theorem(implies(implies(sK38_skl,sK39_skl),implies(implies(sK39_skl,sK40_skl),implies(sK38_skl,sK40_skl)))))),
% 0.14/0.44 inference(skolemize,[status(esa),new_symbols(skolem,[sK38_skl,sK39_skl,sK40_skl]),skolemize(P,sK38_skl),skolemize(Q,sK39_skl),skolemize(R,sK40_skl)],[f133])).
% 0.14/0.44 fof(f136,plain,(
% 0.14/0.44 cn1|~is_a_theorem(implies(implies(sK38_skl,sK39_skl),implies(implies(sK39_skl,sK40_skl),implies(sK38_skl,sK40_skl))))),
% 0.14/0.44 inference(cnf_transformation,[status(thm)],[f134])).
% 0.14/0.44 fof(f182,plain,(
% 0.14/0.44 implies_3),
% 0.14/0.44 inference(cnf_transformation,[status(thm)],[f39])).
% 0.14/0.44 fof(f196,plain,(
% 0.14/0.44 ~cn1),
% 0.14/0.44 inference(cnf_transformation,[status(thm)],[f54])).
% 0.14/0.44 fof(f203,plain,(
% 0.14/0.44 ![X0,X1,X2]: (is_a_theorem(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2)))))),
% 0.14/0.44 inference(forward_subsumption_resolution,[status(thm)],[f83,f182])).
% 0.14/0.44 fof(f214,plain,(
% 0.14/0.44 ~is_a_theorem(implies(implies(sK38_skl,sK39_skl),implies(implies(sK39_skl,sK40_skl),implies(sK38_skl,sK40_skl))))),
% 0.14/0.44 inference(forward_subsumption_resolution,[status(thm)],[f136,f196])).
% 0.14/0.44 fof(f215,plain,(
% 0.14/0.44 $false),
% 0.14/0.44 inference(resolution,[status(thm)],[f214,f203])).
% 0.14/0.44 % SZS output end CNFRefutation for theBenchmark.p
% 0.20/0.48 % Elapsed time: 0.071449 seconds
% 0.20/0.48 % CPU time: 0.183168 seconds
% 0.20/0.48 % Total memory used: 83.247 MB
% 0.20/0.48 % Net memory used: 83.188 MB
%------------------------------------------------------------------------------