%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : PUZ001+1 : TPTP v9.3.1. Released v2.0.0.
% 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 02:00:12 PM UTC 2026
% Result : Theorem 0.13s 0.38s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : PUZ001+1 : TPTP v9.3.1. Released v2.0.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.07/0.35 % Computer : n019.cluster.edu
% 0.07/0.35 % Model : x86_64 x86_64
% 0.07/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.35 % Memory : 8046.5625MB
% 0.07/0.35 % OS : Linux 6.8.0-71-generic
% 0.07/0.35 % CPULimit : 300
% 0.07/0.35 % WCLimit : 300
% 0.07/0.35 % DateTime : Mon Sep 21 03:44:35 UTC 2026
% 0.07/0.35 % CPUTime :
% 0.13/0.36 % Drodi V4.1.1
% 0.13/0.38 % Refutation found
% 0.13/0.38 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.13/0.38 % SZS output start CNFRefutation for theBenchmark
% 0.13/0.38 fof(f1,axiom,(
% 0.13/0.38 (? [X] :( lives(X)& killed(X,agatha) ) )),
% 0.13/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.38 fof(f5,axiom,(
% 0.13/0.38 (! [X] :( lives(X)=> ( X = agatha| X = butler| X = charles ) ) )),
% 0.13/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.38 fof(f6,axiom,(
% 0.13/0.38 (! [X,Y] :( killed(X,Y)=> hates(X,Y) ) )),
% 0.13/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.38 fof(f7,axiom,(
% 0.13/0.38 (! [X,Y] :( killed(X,Y)=> ~ richer(X,Y) ) )),
% 0.13/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.38 fof(f8,axiom,(
% 0.13/0.38 (! [X] :( hates(agatha,X)=> ~ hates(charles,X) ) )),
% 0.13/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.38 fof(f9,axiom,(
% 0.13/0.38 (! [X] :( X != butler=> hates(agatha,X) ) )),
% 0.13/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.38 fof(f10,axiom,(
% 0.13/0.38 (! [X] :( ~ richer(X,agatha)=> hates(butler,X) ) )),
% 0.13/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.38 fof(f11,axiom,(
% 0.13/0.38 (! [X] :( hates(agatha,X)=> hates(butler,X) ) )),
% 0.13/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.38 fof(f12,axiom,(
% 0.13/0.38 (! [X] :(? [Y] : ~ hates(X,Y) ))),
% 0.13/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.38 fof(f13,axiom,(
% 0.13/0.38 agatha != butler ),
% 0.13/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.38 fof(f14,conjecture,(
% 0.13/0.38 killed(agatha,agatha) ),
% 0.13/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.38 fof(f15,negated_conjecture,(
% 0.13/0.38 ~(killed(agatha,agatha) )),
% 0.13/0.38 inference(negated_conjecture,[status(cth)],[f14])).
% 0.13/0.38 fof(f16,plain,(
% 0.13/0.38 (lives(sK0_skl)&killed(sK0_skl,agatha))),
% 0.13/0.38 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl]),skolemize(X,sK0_skl)],[f1])).
% 0.13/0.38 fof(f17,plain,(
% 0.13/0.38 lives(sK0_skl)),
% 0.13/0.38 inference(cnf_transformation,[status(thm)],[f16])).
% 0.13/0.38 fof(f18,plain,(
% 0.13/0.38 killed(sK0_skl,agatha)),
% 0.13/0.38 inference(cnf_transformation,[status(thm)],[f16])).
% 0.13/0.38 fof(f22,plain,(
% 0.13/0.38 ![X]: (~lives(X)|((X=agatha|X=butler)|X=charles))),
% 0.13/0.38 inference(pre_NNF_transformation,[status(thm)],[f5])).
% 0.13/0.38 fof(f23,plain,(
% 0.13/0.38 ![X0]: (~lives(X0)|X0=agatha|X0=butler|X0=charles)),
% 0.13/0.38 inference(cnf_transformation,[status(thm)],[f22])).
% 0.13/0.38 fof(f24,plain,(
% 0.13/0.38 ![X,Y]: (~killed(X,Y)|hates(X,Y))),
% 0.13/0.38 inference(pre_NNF_transformation,[status(thm)],[f6])).
% 0.13/0.38 fof(f25,plain,(
% 0.13/0.38 ![X0,X1]: (~killed(X0,X1)|hates(X0,X1))),
% 0.13/0.38 inference(cnf_transformation,[status(thm)],[f24])).
% 0.13/0.38 fof(f26,plain,(
% 0.13/0.38 ![X,Y]: (~killed(X,Y)|~richer(X,Y))),
% 0.13/0.38 inference(pre_NNF_transformation,[status(thm)],[f7])).
% 0.13/0.38 fof(f27,plain,(
% 0.13/0.38 ![X0,X1]: (~killed(X0,X1)|~richer(X0,X1))),
% 0.13/0.38 inference(cnf_transformation,[status(thm)],[f26])).
% 0.13/0.38 fof(f28,plain,(
% 0.13/0.38 ![X]: (~hates(agatha,X)|~hates(charles,X))),
% 0.13/0.38 inference(pre_NNF_transformation,[status(thm)],[f8])).
% 0.13/0.38 fof(f29,plain,(
% 0.13/0.38 ![X0]: (~hates(agatha,X0)|~hates(charles,X0))),
% 0.13/0.38 inference(cnf_transformation,[status(thm)],[f28])).
% 0.13/0.38 fof(f30,plain,(
% 0.13/0.38 ![X]: (X=butler|hates(agatha,X))),
% 0.13/0.38 inference(pre_NNF_transformation,[status(thm)],[f9])).
% 0.13/0.38 fof(f31,plain,(
% 0.13/0.38 ![X0]: (X0=butler|hates(agatha,X0))),
% 0.13/0.38 inference(cnf_transformation,[status(thm)],[f30])).
% 0.13/0.38 fof(f32,plain,(
% 0.13/0.38 ![X]: (richer(X,agatha)|hates(butler,X))),
% 0.13/0.38 inference(pre_NNF_transformation,[status(thm)],[f10])).
% 0.13/0.38 fof(f33,plain,(
% 0.13/0.38 ![X0]: (richer(X0,agatha)|hates(butler,X0))),
% 0.13/0.38 inference(cnf_transformation,[status(thm)],[f32])).
% 0.13/0.38 fof(f34,plain,(
% 0.13/0.38 ![X]: (~hates(agatha,X)|hates(butler,X))),
% 0.13/0.38 inference(pre_NNF_transformation,[status(thm)],[f11])).
% 0.13/0.38 fof(f35,plain,(
% 0.13/0.38 ![X0]: (~hates(agatha,X0)|hates(butler,X0))),
% 0.13/0.38 inference(cnf_transformation,[status(thm)],[f34])).
% 0.13/0.38 fof(f36,plain,(
% 0.13/0.38 ![X]: ~hates(X,sK1_skl(X))),
% 0.13/0.38 inference(skolemize,[status(esa),new_symbols(skolem,[sK1_skl]),skolemize(Y,sK1_skl(X))],[f12])).
% 0.13/0.38 fof(f37,plain,(
% 0.13/0.38 ![X0]: (~hates(X0,sK1_skl(X0)))),
% 0.13/0.38 inference(cnf_transformation,[status(thm)],[f36])).
% 0.13/0.38 fof(f38,plain,(
% 0.13/0.38 ~agatha=butler),
% 0.13/0.38 inference(cnf_transformation,[status(thm)],[f13])).
% 0.13/0.38 fof(f39,plain,(
% 0.13/0.38 ~killed(agatha,agatha)),
% 0.13/0.38 inference(cnf_transformation,[status(thm)],[f15])).
% 0.13/0.38 fof(f40,plain,(
% 0.13/0.38 hates(sK0_skl,agatha)),
% 0.13/0.38 inference(resolution,[status(thm)],[f18,f25])).
% 0.13/0.38 fof(f44,plain,(
% 0.13/0.38 sK0_skl=agatha|sK0_skl=butler|sK0_skl=charles),
% 0.13/0.38 inference(resolution,[status(thm)],[f23,f17])).
% 0.13/0.38 fof(f46,plain,(
% 0.13/0.38 ![X0]: (hates(butler,X0)|~killed(X0,agatha))),
% 0.13/0.38 inference(resolution,[status(thm)],[f33,f27])).
% 0.13/0.38 fof(f47,plain,(
% 0.13/0.38 ![X0]: (hates(butler,X0)|X0=butler)),
% 0.13/0.38 inference(resolution,[status(thm)],[f35,f31])).
% 0.13/0.38 fof(f48,plain,(
% 0.13/0.38 ![X0]: (~hates(agatha,X0)|~hates(sK0_skl,X0)|sK0_skl=agatha|sK0_skl=butler)),
% 0.13/0.38 inference(paramodulation,[status(thm)],[f44,f29])).
% 0.13/0.38 fof(f52,plain,(
% 0.13/0.38 hates(butler,sK0_skl)),
% 0.13/0.38 inference(resolution,[status(thm)],[f46,f18])).
% 0.13/0.38 fof(f53,plain,(
% 0.13/0.38 sK1_skl(butler)=butler),
% 0.13/0.38 inference(resolution,[status(thm)],[f47,f37])).
% 0.13/0.38 fof(f54,plain,(
% 0.13/0.38 ~hates(butler,butler)),
% 0.13/0.38 inference(paramodulation,[status(thm)],[f53,f37])).
% 0.13/0.38 fof(f55,plain,(
% 0.13/0.38 ![X0]: (~hates(sK0_skl,X0)|sK0_skl=agatha|sK0_skl=butler|X0=butler)),
% 0.13/0.38 inference(resolution,[status(thm)],[f48,f31])).
% 0.13/0.38 fof(f57,plain,(
% 0.13/0.38 sK0_skl=agatha|sK0_skl=butler|agatha=butler),
% 0.13/0.38 inference(resolution,[status(thm)],[f55,f40])).
% 0.13/0.38 fof(f58,plain,(
% 0.13/0.38 sK0_skl=agatha|sK0_skl=butler),
% 0.13/0.38 inference(forward_subsumption_resolution,[status(thm)],[f57,f38])).
% 0.13/0.38 fof(f59,plain,(
% 0.13/0.38 ~hates(butler,sK0_skl)|sK0_skl=agatha),
% 0.13/0.38 inference(paramodulation,[status(thm)],[f58,f54])).
% 0.13/0.38 fof(f67,plain,(
% 0.13/0.38 sK0_skl=agatha),
% 0.13/0.38 inference(forward_subsumption_resolution,[status(thm)],[f59,f52])).
% 0.13/0.38 fof(f79,plain,(
% 0.13/0.38 killed(sK0_skl,sK0_skl)),
% 0.13/0.38 inference(backward_demodulation,[status(thm)],[f67,f18])).
% 0.13/0.38 fof(f81,plain,(
% 0.13/0.38 ~killed(agatha,sK0_skl)),
% 0.13/0.38 inference(backward_demodulation,[status(thm)],[f67,f39])).
% 0.13/0.38 fof(f82,plain,(
% 0.13/0.38 ~killed(sK0_skl,sK0_skl)),
% 0.13/0.38 inference(forward_demodulation,[status(thm)],[f67,f81])).
% 0.13/0.38 fof(f91,plain,(
% 0.13/0.38 $false),
% 0.13/0.38 inference(forward_subsumption_resolution,[status(thm)],[f82,f79])).
% 0.13/0.38 % SZS output end CNFRefutation for theBenchmark.p
% 0.13/0.40 % Elapsed time: 0.046612 seconds
% 0.13/0.40 % CPU time: 0.141488 seconds
% 0.13/0.40 % Total memory used: 79.989 MB
% 0.13/0.40 % Net memory used: 79.572 MB
%------------------------------------------------------------------------------