%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : LCL484+1 : TPTP v9.3.1. Bugfixed v9.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n018.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 01:10:09 PM UTC 2026
% Result : Theorem 0.12s 0.39s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL484+1 : TPTP v9.3.1. Bugfixed v9.2.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.35 % Computer : n018.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Mon Sep 21 00:35:58 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.12/0.37 % Drodi V4.1.1
% 0.12/0.39 % Refutation found
% 0.12/0.39 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.12/0.39 % SZS output start CNFRefutation for theBenchmark
% 0.12/0.39 fof(f4,axiom,(
% 0.12/0.39 ( implies_1<=> (! [X,Y] : is_a_theorem(implies(X,implies(Y,X))) )) ),
% 0.12/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.39 fof(f23,axiom,(
% 0.12/0.39 ( r2<=> (! [P,Q] : is_a_theorem(implies(Q,or(P,Q))) )) ),
% 0.12/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.39 fof(f30,axiom,(
% 0.12/0.39 ( op_implies_or=> (! [X,Y] : implies(X,Y) = or(not(X),Y) )) ),
% 0.12/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.39 fof(f32,axiom,(
% 0.12/0.39 op_implies_or ),
% 0.12/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.39 fof(f37,axiom,(
% 0.12/0.39 r2 ),
% 0.12/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.39 fof(f45,conjecture,(
% 0.12/0.39 implies_1 ),
% 0.12/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.39 fof(f46,negated_conjecture,(
% 0.12/0.39 ~(implies_1 )),
% 0.12/0.39 inference(negated_conjecture,[status(cth)],[f45])).
% 0.12/0.39 fof(f65,plain,(
% 0.12/0.39 (~implies_1|(![X,Y]: is_a_theorem(implies(X,implies(Y,X)))))&(implies_1|(?[X,Y]: ~is_a_theorem(implies(X,implies(Y,X)))))),
% 0.12/0.39 inference(NNF_transformation,[status(thm)],[f4])).
% 0.12/0.39 fof(f66,plain,(
% 0.12/0.39 (~implies_1|(![X,Y]: is_a_theorem(implies(X,implies(Y,X)))))&(implies_1|~is_a_theorem(implies(sK6_skl,implies(sK7_skl,sK6_skl))))),
% 0.12/0.39 inference(skolemize,[status(esa),new_symbols(skolem,[sK6_skl,sK7_skl]),skolemize(X,sK6_skl),skolemize(Y,sK7_skl)],[f65])).
% 0.12/0.39 fof(f68,plain,(
% 0.12/0.39 implies_1|~is_a_theorem(implies(sK6_skl,implies(sK7_skl,sK6_skl)))),
% 0.12/0.39 inference(cnf_transformation,[status(thm)],[f66])).
% 0.12/0.39 fof(f141,plain,(
% 0.12/0.39 (~r2|(![P,Q]: is_a_theorem(implies(Q,or(P,Q)))))&(r2|(?[P,Q]: ~is_a_theorem(implies(Q,or(P,Q)))))),
% 0.12/0.39 inference(NNF_transformation,[status(thm)],[f23])).
% 0.12/0.39 fof(f142,plain,(
% 0.12/0.39 (~r2|(![P,Q]: is_a_theorem(implies(Q,or(P,Q)))))&(r2|~is_a_theorem(implies(sK46_skl,or(sK45_skl,sK46_skl))))),
% 0.12/0.39 inference(skolemize,[status(esa),new_symbols(skolem,[sK45_skl,sK46_skl]),skolemize(P,sK45_skl),skolemize(Q,sK46_skl)],[f141])).
% 0.12/0.39 fof(f143,plain,(
% 0.12/0.39 ![X0,X1]: (~r2|is_a_theorem(implies(X0,or(X1,X0))))),
% 0.12/0.39 inference(cnf_transformation,[status(thm)],[f142])).
% 0.12/0.39 fof(f163,plain,(
% 0.12/0.39 ~op_implies_or|(![X,Y]: implies(X,Y)=or(not(X),Y))),
% 0.12/0.39 inference(pre_NNF_transformation,[status(thm)],[f30])).
% 0.12/0.39 fof(f164,plain,(
% 0.12/0.39 ![X0,X1]: (~op_implies_or|implies(X0,X1)=or(not(X0),X1))),
% 0.12/0.39 inference(cnf_transformation,[status(thm)],[f163])).
% 0.12/0.39 fof(f167,plain,(
% 0.12/0.39 op_implies_or),
% 0.12/0.39 inference(cnf_transformation,[status(thm)],[f32])).
% 0.12/0.39 fof(f172,plain,(
% 0.12/0.39 r2),
% 0.12/0.39 inference(cnf_transformation,[status(thm)],[f37])).
% 0.12/0.39 fof(f180,plain,(
% 0.12/0.39 ~implies_1),
% 0.12/0.39 inference(cnf_transformation,[status(thm)],[f46])).
% 0.12/0.39 fof(f184,plain,(
% 0.12/0.39 ~is_a_theorem(implies(sK6_skl,implies(sK7_skl,sK6_skl)))),
% 0.12/0.39 inference(forward_subsumption_resolution,[status(thm)],[f68,f180])).
% 0.12/0.39 fof(f188,plain,(
% 0.12/0.39 ![X0,X1]: (is_a_theorem(implies(X0,or(X1,X0))))),
% 0.12/0.39 inference(forward_subsumption_resolution,[status(thm)],[f143,f172])).
% 0.12/0.39 fof(f189,plain,(
% 0.12/0.39 ![X0,X1]: (implies(X0,X1)=or(not(X0),X1))),
% 0.12/0.39 inference(forward_subsumption_resolution,[status(thm)],[f164,f167])).
% 0.12/0.39 fof(f190,plain,(
% 0.12/0.39 ![X0,X1]: (is_a_theorem(implies(X0,implies(X1,X0))))),
% 0.12/0.39 inference(paramodulation,[status(thm)],[f189,f188])).
% 0.12/0.39 fof(f193,plain,(
% 0.12/0.39 $false),
% 0.12/0.39 inference(backward_subsumption_resolution,[status(thm)],[f184,f190])).
% 0.12/0.39 % SZS output end CNFRefutation for theBenchmark.p
% 0.12/0.41 % Elapsed time: 0.049142 seconds
% 0.12/0.41 % CPU time: 0.140132 seconds
% 0.12/0.41 % Total memory used: 82.746 MB
% 0.12/0.41 % Net memory used: 82.700 MB
%------------------------------------------------------------------------------