%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : LCL452+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 : 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 01:10:06 PM UTC 2026
% Result : Theorem 0.09s 5.40s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL452+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
% 0.09/5.36 % Computer : n026.cluster.edu
% 0.09/5.36 % Model : x86_64 x86_64
% 0.09/5.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/5.36 % Memory : 8046.5625MB
% 0.09/5.36 % OS : Linux 6.8.0-71-generic
% 0.09/5.36 % CPULimit : 300
% 0.09/5.36 % WCLimit : 300
% 0.09/5.37 % DateTime : Mon Sep 21 00:36:28 UTC 2026
% 0.09/5.37 % CPUTime :
% 0.09/5.38 % Drodi V4.1.1
% 0.09/5.40 % Refutation found
% 0.09/5.40 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.09/5.40 % SZS output start CNFRefutation for theBenchmark
% 0.09/5.40 fof(f10,axiom,(
% 0.09/5.40 ( or_1<=> (! [X,Y] : is_a_theorem(implies(X,or(X,Y))) )) ),
% 0.09/5.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/5.40 fof(f20,axiom,(
% 0.09/5.40 ( cn2<=> (! [P,Q] : is_a_theorem(implies(P,implies(not(P),Q))) )) ),
% 0.09/5.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/5.40 fof(f27,axiom,(
% 0.09/5.40 ( op_or=> (! [X,Y] : or(X,Y) = not(and(not(X),not(Y))) )) ),
% 0.09/5.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/5.40 fof(f29,axiom,(
% 0.09/5.40 ( op_implies_and=> (! [X,Y] : implies(X,Y) = not(and(X,not(Y))) )) ),
% 0.09/5.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/5.40 fof(f32,axiom,(
% 0.09/5.40 op_or ),
% 0.09/5.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/5.40 fof(f33,axiom,(
% 0.09/5.40 op_implies_and ),
% 0.09/5.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/5.40 fof(f43,axiom,(
% 0.09/5.40 or_1 ),
% 0.09/5.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/5.40 fof(f53,conjecture,(
% 0.09/5.40 cn2 ),
% 0.09/5.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/5.40 fof(f54,negated_conjecture,(
% 0.09/5.40 ~(cn2 )),
% 0.09/5.40 inference(negated_conjecture,[status(cth)],[f53])).
% 0.09/5.40 fof(f97,plain,(
% 0.09/5.40 (~or_1|(![X,Y]: is_a_theorem(implies(X,or(X,Y)))))&(or_1|(?[X,Y]: ~is_a_theorem(implies(X,or(X,Y)))))),
% 0.09/5.40 inference(NNF_transformation,[status(thm)],[f10])).
% 0.09/5.40 fof(f98,plain,(
% 0.09/5.40 (~or_1|(![X,Y]: is_a_theorem(implies(X,or(X,Y)))))&(or_1|~is_a_theorem(implies(sK19_skl,or(sK19_skl,sK20_skl))))),
% 0.09/5.40 inference(skolemize,[status(esa),new_symbols(skolem,[sK19_skl,sK20_skl]),skolemize(X,sK19_skl),skolemize(Y,sK20_skl)],[f97])).
% 0.09/5.40 fof(f99,plain,(
% 0.09/5.40 ![X0,X1]: (~or_1|is_a_theorem(implies(X0,or(X0,X1))))),
% 0.09/5.40 inference(cnf_transformation,[status(thm)],[f98])).
% 0.09/5.40 fof(f137,plain,(
% 0.09/5.40 (~cn2|(![P,Q]: is_a_theorem(implies(P,implies(not(P),Q)))))&(cn2|(?[P,Q]: ~is_a_theorem(implies(P,implies(not(P),Q)))))),
% 0.09/5.40 inference(NNF_transformation,[status(thm)],[f20])).
% 0.09/5.40 fof(f138,plain,(
% 0.09/5.40 (~cn2|(![P,Q]: is_a_theorem(implies(P,implies(not(P),Q)))))&(cn2|~is_a_theorem(implies(sK41_skl,implies(not(sK41_skl),sK42_skl))))),
% 0.09/5.40 inference(skolemize,[status(esa),new_symbols(skolem,[sK41_skl,sK42_skl]),skolemize(P,sK41_skl),skolemize(Q,sK42_skl)],[f137])).
% 0.09/5.40 fof(f140,plain,(
% 0.09/5.40 cn2|~is_a_theorem(implies(sK41_skl,implies(not(sK41_skl),sK42_skl)))),
% 0.09/5.40 inference(cnf_transformation,[status(thm)],[f138])).
% 0.09/5.40 fof(f165,plain,(
% 0.09/5.40 ~op_or|(![X,Y]: or(X,Y)=not(and(not(X),not(Y))))),
% 0.09/5.40 inference(pre_NNF_transformation,[status(thm)],[f27])).
% 0.09/5.40 fof(f166,plain,(
% 0.09/5.40 ![X0,X1]: (~op_or|or(X0,X1)=not(and(not(X0),not(X1))))),
% 0.09/5.40 inference(cnf_transformation,[status(thm)],[f165])).
% 0.09/5.40 fof(f169,plain,(
% 0.09/5.40 ~op_implies_and|(![X,Y]: implies(X,Y)=not(and(X,not(Y))))),
% 0.09/5.40 inference(pre_NNF_transformation,[status(thm)],[f29])).
% 0.09/5.40 fof(f170,plain,(
% 0.09/5.40 ![X0,X1]: (~op_implies_and|implies(X0,X1)=not(and(X0,not(X1))))),
% 0.09/5.40 inference(cnf_transformation,[status(thm)],[f169])).
% 0.09/5.40 fof(f175,plain,(
% 0.09/5.40 op_or),
% 0.09/5.40 inference(cnf_transformation,[status(thm)],[f32])).
% 0.09/5.40 fof(f176,plain,(
% 0.09/5.40 op_implies_and),
% 0.09/5.40 inference(cnf_transformation,[status(thm)],[f33])).
% 0.09/5.40 fof(f186,plain,(
% 0.09/5.40 or_1),
% 0.09/5.40 inference(cnf_transformation,[status(thm)],[f43])).
% 0.09/5.40 fof(f196,plain,(
% 0.09/5.40 ~cn2),
% 0.09/5.40 inference(cnf_transformation,[status(thm)],[f54])).
% 0.09/5.40 fof(f197,plain,(
% 0.09/5.40 ![X0,X1]: (or(X0,X1)=not(and(not(X0),not(X1))))),
% 0.09/5.40 inference(backward_subsumption_resolution,[status(thm)],[f166,f175])).
% 0.09/5.40 fof(f198,plain,(
% 0.09/5.40 ![X0,X1]: (implies(X0,X1)=not(and(X0,not(X1))))),
% 0.09/5.40 inference(backward_subsumption_resolution,[status(thm)],[f170,f176])).
% 0.09/5.40 fof(f208,plain,(
% 0.09/5.40 ![X0,X1]: (is_a_theorem(implies(X0,or(X0,X1))))),
% 0.09/5.40 inference(backward_subsumption_resolution,[status(thm)],[f99,f186])).
% 0.09/5.40 fof(f215,plain,(
% 0.09/5.40 ~is_a_theorem(implies(sK41_skl,implies(not(sK41_skl),sK42_skl)))),
% 0.09/5.40 inference(backward_subsumption_resolution,[status(thm)],[f140,f196])).
% 0.09/5.40 fof(f216,plain,(
% 0.09/5.40 ![X0,X1]: (or(X0,X1)=implies(not(X0),X1))),
% 0.09/5.40 inference(backward_demodulation,[status(thm)],[f198,f197])).
% 0.09/5.40 fof(f221,plain,(
% 0.09/5.40 ~is_a_theorem(implies(sK41_skl,or(sK41_skl,sK42_skl)))),
% 0.09/5.40 inference(backward_demodulation,[status(thm)],[f216,f215])).
% 0.09/5.40 fof(f226,plain,(
% 0.13/5.40 $false),
% 0.13/5.40 inference(forward_subsumption_resolution,[status(thm)],[f221,f208])).
% 0.13/5.40 % SZS output end CNFRefutation for theBenchmark.p
% 0.13/5.43 % Elapsed time: 0.051602 seconds
% 0.13/5.43 % CPU time: 0.146542 seconds
% 0.13/5.43 % Total memory used: 82.986 MB
% 0.13/5.43 % Net memory used: 82.942 MB
%------------------------------------------------------------------------------