%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : LCL506+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 : n019.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 01:10:11 PM UTC 2026
% Result : Theorem 0.09s 0.41s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LCL506+1 : TPTP v9.3.1. Bugfixed v9.2.0.
% 0.00/0.03 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n019.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Mon Sep 21 00:36:06 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.37 % Drodi V4.1.1
% 0.09/0.41 % Refutation found
% 0.09/0.41 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.09/0.41 % SZS output start CNFRefutation for theBenchmark
% 0.09/0.41 fof(f7,axiom,(
% 0.09/0.41 ( and_1<=> (! [X,Y] : is_a_theorem(implies(and(X,Y),X)) )) ),
% 0.09/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.41 fof(f17,axiom,(
% 0.09/0.41 ( kn2<=> (! [P,Q] : is_a_theorem(implies(and(P,Q),P)) )) ),
% 0.09/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.41 fof(f37,axiom,(
% 0.09/0.41 kn2 ),
% 0.09/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.41 fof(f43,conjecture,(
% 0.09/0.41 and_1 ),
% 0.09/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.41 fof(f44,negated_conjecture,(
% 0.09/0.41 ~(and_1 )),
% 0.09/0.41 inference(negated_conjecture,[status(cth)],[f43])).
% 0.09/0.41 fof(f75,plain,(
% 0.09/0.41 (~and_1|(![X,Y]: is_a_theorem(implies(and(X,Y),X))))&(and_1|(?[X,Y]: ~is_a_theorem(implies(and(X,Y),X))))),
% 0.09/0.41 inference(NNF_transformation,[status(thm)],[f7])).
% 0.09/0.41 fof(f76,plain,(
% 0.09/0.41 (~and_1|(![X,Y]: is_a_theorem(implies(and(X,Y),X))))&(and_1|~is_a_theorem(implies(and(sK13_skl,sK14_skl),sK13_skl)))),
% 0.09/0.41 inference(skolemize,[status(esa),new_symbols(skolem,[sK13_skl,sK14_skl]),skolemize(X,sK13_skl),skolemize(Y,sK14_skl)],[f75])).
% 0.09/0.41 fof(f78,plain,(
% 0.09/0.41 and_1|~is_a_theorem(implies(and(sK13_skl,sK14_skl),sK13_skl))),
% 0.09/0.41 inference(cnf_transformation,[status(thm)],[f76])).
% 0.09/0.41 fof(f115,plain,(
% 0.09/0.41 (~kn2|(![P,Q]: is_a_theorem(implies(and(P,Q),P))))&(kn2|(?[P,Q]: ~is_a_theorem(implies(and(P,Q),P))))),
% 0.09/0.41 inference(NNF_transformation,[status(thm)],[f17])).
% 0.09/0.41 fof(f116,plain,(
% 0.09/0.41 (~kn2|(![P,Q]: is_a_theorem(implies(and(P,Q),P))))&(kn2|~is_a_theorem(implies(and(sK33_skl,sK34_skl),sK33_skl)))),
% 0.09/0.41 inference(skolemize,[status(esa),new_symbols(skolem,[sK33_skl,sK34_skl]),skolemize(P,sK33_skl),skolemize(Q,sK34_skl)],[f115])).
% 0.09/0.41 fof(f117,plain,(
% 0.09/0.41 ![X0,X1]: (~kn2|is_a_theorem(implies(and(X0,X1),X0)))),
% 0.09/0.41 inference(cnf_transformation,[status(thm)],[f116])).
% 0.09/0.41 fof(f170,plain,(
% 0.09/0.41 kn2),
% 0.09/0.41 inference(cnf_transformation,[status(thm)],[f37])).
% 0.09/0.41 fof(f176,plain,(
% 0.09/0.41 ~and_1),
% 0.09/0.41 inference(cnf_transformation,[status(thm)],[f44])).
% 0.09/0.41 fof(f181,plain,(
% 0.09/0.41 ~is_a_theorem(implies(and(sK13_skl,sK14_skl),sK13_skl))),
% 0.09/0.41 inference(forward_subsumption_resolution,[status(thm)],[f78,f176])).
% 0.09/0.41 fof(f184,plain,(
% 0.09/0.41 ![X0,X1]: (is_a_theorem(implies(and(X0,X1),X0)))),
% 0.09/0.41 inference(forward_subsumption_resolution,[status(thm)],[f117,f170])).
% 0.09/0.41 fof(f185,plain,(
% 0.09/0.41 $false),
% 0.09/0.41 inference(backward_subsumption_resolution,[status(thm)],[f181,f184])).
% 0.09/0.41 % SZS output end CNFRefutation for theBenchmark.p
% 0.09/0.43 % Elapsed time: 0.064415 seconds
% 0.09/0.43 % CPU time: 0.156878 seconds
% 0.09/0.43 % Total memory used: 82.699 MB
% 0.09/0.43 % Net memory used: 82.656 MB
%------------------------------------------------------------------------------