%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : LCL483+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 : n014.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 0.15s 5.46s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL483+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
% 0.15/5.41 % Computer : n014.cluster.edu
% 0.15/5.41 % Model : x86_64 x86_64
% 0.15/5.41 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/5.41 % Memory : 8046.5625MB
% 0.15/5.41 % OS : Linux 6.8.0-71-generic
% 0.15/5.41 % CPULimit : 300
% 0.15/5.41 % WCLimit : 300
% 0.15/5.41 % DateTime : Mon Sep 21 00:34:10 UTC 2026
% 0.15/5.41 % CPUTime :
% 0.15/5.43 % Drodi V4.1.1
% 0.15/5.46 % Refutation found
% 0.15/5.46 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.15/5.46 % SZS output start CNFRefutation for theBenchmark
% 0.15/5.46 fof(f3,axiom,(
% 0.15/5.46 ( modus_tollens<=> (! [X,Y] : is_a_theorem(implies(implies(not(Y),not(X)),implies(X,Y))) )) ),
% 0.15/5.46 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/5.46 fof(f24,axiom,(
% 0.15/5.46 ( r3<=> (! [P,Q] : is_a_theorem(implies(or(P,Q),or(Q,P))) )) ),
% 0.15/5.46 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/5.46 fof(f27,axiom,(
% 0.15/5.46 ( op_or=> (! [X,Y] : or(X,Y) = not(and(not(X),not(Y))) )) ),
% 0.15/5.46 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/5.46 fof(f29,axiom,(
% 0.15/5.46 ( op_implies_and=> (! [X,Y] : implies(X,Y) = not(and(X,not(Y))) )) ),
% 0.15/5.46 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/5.46 fof(f30,axiom,(
% 0.15/5.46 ( op_implies_or=> (! [X,Y] : implies(X,Y) = or(not(X),Y) )) ),
% 0.15/5.46 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/5.46 fof(f32,axiom,(
% 0.15/5.46 op_implies_or ),
% 0.15/5.46 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/5.46 fof(f38,axiom,(
% 0.15/5.46 r3 ),
% 0.15/5.46 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/5.46 fof(f42,axiom,(
% 0.15/5.46 op_or ),
% 0.15/5.46 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/5.46 fof(f43,axiom,(
% 0.15/5.46 op_implies_and ),
% 0.15/5.46 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/5.46 fof(f45,conjecture,(
% 0.15/5.46 modus_tollens ),
% 0.15/5.46 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/5.46 fof(f46,negated_conjecture,(
% 0.15/5.46 ~(modus_tollens )),
% 0.15/5.46 inference(negated_conjecture,[status(cth)],[f45])).
% 0.15/5.46 fof(f61,plain,(
% 0.15/5.46 (~modus_tollens|(![X,Y]: is_a_theorem(implies(implies(not(Y),not(X)),implies(X,Y)))))&(modus_tollens|(?[X,Y]: ~is_a_theorem(implies(implies(not(Y),not(X)),implies(X,Y)))))),
% 0.15/5.46 inference(NNF_transformation,[status(thm)],[f3])).
% 0.15/5.46 fof(f62,plain,(
% 0.15/5.46 (~modus_tollens|(![X,Y]: is_a_theorem(implies(implies(not(Y),not(X)),implies(X,Y)))))&(modus_tollens|~is_a_theorem(implies(implies(not(sK5_skl),not(sK4_skl)),implies(sK4_skl,sK5_skl))))),
% 0.15/5.46 inference(skolemize,[status(esa),new_symbols(skolem,[sK4_skl,sK5_skl]),skolemize(X,sK4_skl),skolemize(Y,sK5_skl)],[f61])).
% 0.15/5.46 fof(f64,plain,(
% 0.15/5.46 modus_tollens|~is_a_theorem(implies(implies(not(sK5_skl),not(sK4_skl)),implies(sK4_skl,sK5_skl)))),
% 0.15/5.46 inference(cnf_transformation,[status(thm)],[f62])).
% 0.15/5.46 fof(f145,plain,(
% 0.15/5.46 (~r3|(![P,Q]: is_a_theorem(implies(or(P,Q),or(Q,P)))))&(r3|(?[P,Q]: ~is_a_theorem(implies(or(P,Q),or(Q,P)))))),
% 0.15/5.46 inference(NNF_transformation,[status(thm)],[f24])).
% 0.15/5.46 fof(f146,plain,(
% 0.15/5.46 (~r3|(![P,Q]: is_a_theorem(implies(or(P,Q),or(Q,P)))))&(r3|~is_a_theorem(implies(or(sK47_skl,sK48_skl),or(sK48_skl,sK47_skl))))),
% 0.15/5.46 inference(skolemize,[status(esa),new_symbols(skolem,[sK47_skl,sK48_skl]),skolemize(P,sK47_skl),skolemize(Q,sK48_skl)],[f145])).
% 0.15/5.46 fof(f147,plain,(
% 0.15/5.46 ![X0,X1]: (~r3|is_a_theorem(implies(or(X0,X1),or(X1,X0))))),
% 0.15/5.46 inference(cnf_transformation,[status(thm)],[f146])).
% 0.15/5.46 fof(f157,plain,(
% 0.15/5.46 ~op_or|(![X,Y]: or(X,Y)=not(and(not(X),not(Y))))),
% 0.15/5.46 inference(pre_NNF_transformation,[status(thm)],[f27])).
% 0.15/5.46 fof(f158,plain,(
% 0.15/5.46 ![X0,X1]: (~op_or|or(X0,X1)=not(and(not(X0),not(X1))))),
% 0.15/5.46 inference(cnf_transformation,[status(thm)],[f157])).
% 0.15/5.46 fof(f161,plain,(
% 0.15/5.46 ~op_implies_and|(![X,Y]: implies(X,Y)=not(and(X,not(Y))))),
% 0.15/5.46 inference(pre_NNF_transformation,[status(thm)],[f29])).
% 0.15/5.46 fof(f162,plain,(
% 0.15/5.46 ![X0,X1]: (~op_implies_and|implies(X0,X1)=not(and(X0,not(X1))))),
% 0.15/5.46 inference(cnf_transformation,[status(thm)],[f161])).
% 0.15/5.46 fof(f163,plain,(
% 0.15/5.46 ~op_implies_or|(![X,Y]: implies(X,Y)=or(not(X),Y))),
% 0.15/5.46 inference(pre_NNF_transformation,[status(thm)],[f30])).
% 0.15/5.46 fof(f164,plain,(
% 0.15/5.46 ![X0,X1]: (~op_implies_or|implies(X0,X1)=or(not(X0),X1))),
% 0.15/5.46 inference(cnf_transformation,[status(thm)],[f163])).
% 0.15/5.46 fof(f167,plain,(
% 0.15/5.46 op_implies_or),
% 0.15/5.46 inference(cnf_transformation,[status(thm)],[f32])).
% 0.15/5.46 fof(f173,plain,(
% 0.15/5.46 r3),
% 0.15/5.46 inference(cnf_transformation,[status(thm)],[f38])).
% 0.15/5.46 fof(f177,plain,(
% 0.15/5.46 op_or),
% 0.15/5.46 inference(cnf_transformation,[status(thm)],[f42])).
% 0.15/5.46 fof(f178,plain,(
% 0.15/5.46 op_implies_and),
% 0.15/5.46 inference(cnf_transformation,[status(thm)],[f43])).
% 0.15/5.46 fof(f180,plain,(
% 0.15/5.46 ~modus_tollens),
% 0.15/5.46 inference(cnf_transformation,[status(thm)],[f46])).
% 0.15/5.46 fof(f181,plain,(
% 0.15/5.46 ![X0,X1]: (implies(X0,X1)=or(not(X0),X1))),
% 0.15/5.46 inference(backward_subsumption_resolution,[status(thm)],[f164,f167])).
% 0.15/5.46 fof(f187,plain,(
% 0.15/5.46 ![X0,X1]: (is_a_theorem(implies(or(X0,X1),or(X1,X0))))),
% 0.15/5.46 inference(backward_subsumption_resolution,[status(thm)],[f147,f173])).
% 0.15/5.46 fof(f191,plain,(
% 0.15/5.46 ![X0,X1]: (or(X0,X1)=not(and(not(X0),not(X1))))),
% 0.15/5.46 inference(backward_subsumption_resolution,[status(thm)],[f158,f177])).
% 0.15/5.46 fof(f192,plain,(
% 0.15/5.46 ![X0,X1]: (implies(X0,X1)=not(and(X0,not(X1))))),
% 0.15/5.46 inference(backward_subsumption_resolution,[status(thm)],[f162,f178])).
% 0.15/5.46 fof(f193,plain,(
% 0.15/5.46 ~is_a_theorem(implies(implies(not(sK5_skl),not(sK4_skl)),implies(sK4_skl,sK5_skl)))),
% 0.15/5.46 inference(backward_subsumption_resolution,[status(thm)],[f64,f180])).
% 0.15/5.46 fof(f196,plain,(
% 0.15/5.46 ![X0,X1]: (or(X0,X1)=implies(not(X0),X1))),
% 0.15/5.46 inference(backward_demodulation,[status(thm)],[f192,f191])).
% 0.15/5.46 fof(f201,plain,(
% 0.15/5.46 ~is_a_theorem(implies(or(sK5_skl,not(sK4_skl)),implies(sK4_skl,sK5_skl)))),
% 0.15/5.46 inference(backward_demodulation,[status(thm)],[f196,f193])).
% 0.15/5.46 fof(f242,plain,(
% 0.15/5.46 ![X0,X1]: (is_a_theorem(implies(or(X0,not(X1)),implies(X1,X0))))),
% 0.15/5.46 inference(paramodulation,[status(thm)],[f181,f187])).
% 0.15/5.46 fof(f244,plain,(
% 0.15/5.46 $false),
% 0.15/5.46 inference(backward_subsumption_resolution,[status(thm)],[f201,f242])).
% 0.15/5.46 % SZS output end CNFRefutation for theBenchmark.p
% 0.19/5.54 % Elapsed time: 0.114192 seconds
% 0.19/5.54 % CPU time: 0.158583 seconds
% 0.19/5.54 % Total memory used: 24.049 MB
% 0.19/5.54 % Net memory used: 24.000 MB
%------------------------------------------------------------------------------