%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SWW469+5 : TPTP v9.3.1. Released v5.3.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n006.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 03:09:10 PM UTC 2026
% Result : Theorem 0.22s 0.50s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SWW469+5 : TPTP v9.3.1. Released v5.3.0.
% 0.00/0.06 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.43 % Computer : n006.cluster.edu
% 0.18/0.43 % Model : x86_64 x86_64
% 0.18/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.43 % Memory : 8046.5625MB
% 0.18/0.43 % OS : Linux 6.8.0-71-generic
% 0.18/0.43 % CPULimit : 300
% 0.18/0.43 % WCLimit : 300
% 0.18/0.43 % DateTime : Mon Sep 21 09:55:12 UTC 2026
% 0.18/0.44 % CPUTime :
% 0.18/0.46 % Drodi V4.1.1
% 0.22/0.50 % Refutation found
% 0.22/0.50 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.22/0.50 % SZS output start CNFRefutation for theBenchmark
% 0.22/0.50 fof(f5,axiom,(
% 0.22/0.50 (! [X_a] : ti(X_a,undefined(X_a)) = undefined(X_a) )),
% 0.22/0.50 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.22/0.50 fof(f18,axiom,(
% 0.22/0.50 ( hBOOL(hoare_1883395792gleton)<=> (? [S,T] : ti(state,S) != ti(state,T) )) ),
% 0.22/0.50 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.22/0.50 fof(f62,hypothesis,(
% 0.22/0.50 hBOOL(hoare_1883395792gleton) ),
% 0.22/0.50 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.22/0.50 fof(f63,conjecture,(
% 0.22/0.50 (! [T] :~ (! [S] : ti(state,S) = ti(state,T) ))),
% 0.22/0.50 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.22/0.50 fof(f64,negated_conjecture,(
% 0.22/0.50 ~((! [T] :~ (! [S] : ti(state,S) = ti(state,T) )))),
% 0.22/0.50 inference(negated_conjecture,[status(cth)],[f63])).
% 0.22/0.50 fof(f70,plain,(
% 0.22/0.50 ![X0]: (ti(X0,undefined(X0))=undefined(X0))),
% 0.22/0.50 inference(cnf_transformation,[status(thm)],[f5])).
% 0.22/0.50 fof(f86,plain,(
% 0.22/0.50 (~hBOOL(hoare_1883395792gleton)|(?[S,T]: ~ti(state,S)=ti(state,T)))&(hBOOL(hoare_1883395792gleton)|(![S,T]: ti(state,S)=ti(state,T)))),
% 0.22/0.50 inference(NNF_transformation,[status(thm)],[f18])).
% 0.22/0.50 fof(f87,plain,(
% 0.22/0.50 (~hBOOL(hoare_1883395792gleton)|~ti(state,sK0_skl)=ti(state,sK1_skl))&(hBOOL(hoare_1883395792gleton)|(![S,T]: ti(state,S)=ti(state,T)))),
% 0.22/0.50 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl,sK1_skl]),skolemize(S,sK0_skl),skolemize(T,sK1_skl)],[f86])).
% 0.22/0.50 fof(f88,plain,(
% 0.22/0.50 ~hBOOL(hoare_1883395792gleton)|~ti(state,sK0_skl)=ti(state,sK1_skl)),
% 0.22/0.50 inference(cnf_transformation,[status(thm)],[f87])).
% 0.22/0.50 fof(f202,plain,(
% 0.22/0.50 hBOOL(hoare_1883395792gleton)),
% 0.22/0.50 inference(cnf_transformation,[status(thm)],[f62])).
% 0.22/0.50 fof(f203,plain,(
% 0.22/0.50 (?[T]: ![S]: ti(state,S)=ti(state,T))),
% 0.22/0.50 inference(pre_NNF_transformation,[status(thm)],[f64])).
% 0.22/0.50 fof(f204,plain,(
% 0.22/0.50 ![S]: ti(state,S)=ti(state,sK11_skl)),
% 0.22/0.50 inference(skolemize,[status(esa),new_symbols(skolem,[sK11_skl]),skolemize(T,sK11_skl)],[f203])).
% 0.22/0.50 fof(f205,plain,(
% 0.22/0.50 ![X0]: (ti(state,X0)=ti(state,sK11_skl))),
% 0.22/0.50 inference(cnf_transformation,[status(thm)],[f204])).
% 0.22/0.50 fof(f207,plain,(
% 0.22/0.50 ![X0,X1]: (ti(state,X0)=ti(state,X1))),
% 0.22/0.50 inference(paramodulation,[status(thm)],[f205,f205])).
% 0.22/0.50 fof(f274,plain,(
% 0.22/0.50 ![X0]: (ti(state,X0)=undefined(state))),
% 0.22/0.50 inference(paramodulation,[status(thm)],[f207,f70])).
% 0.22/0.50 fof(f336,plain,(
% 0.22/0.50 ~hBOOL(hoare_1883395792gleton)|~undefined(state)=ti(state,sK1_skl)),
% 0.22/0.50 inference(forward_demodulation,[status(thm)],[f274,f88])).
% 0.22/0.50 fof(f337,plain,(
% 0.22/0.50 ~hBOOL(hoare_1883395792gleton)|~undefined(state)=undefined(state)),
% 0.22/0.50 inference(forward_demodulation,[status(thm)],[f274,f336])).
% 0.22/0.50 fof(f338,plain,(
% 0.22/0.50 ~hBOOL(hoare_1883395792gleton)),
% 0.22/0.50 inference(trivial_equality_resolution,[status(thm)],[f337])).
% 0.22/0.50 fof(f339,plain,(
% 0.22/0.50 $false),
% 0.22/0.50 inference(forward_subsumption_resolution,[status(thm)],[f338,f202])).
% 0.22/0.50 % SZS output end CNFRefutation for theBenchmark.p
% 0.22/0.52 % Elapsed time: 0.077296 seconds
% 0.22/0.52 % CPU time: 0.199095 seconds
% 0.22/0.52 % Total memory used: 71.423 MB
% 0.22/0.52 % Net memory used: 71.353 MB
%------------------------------------------------------------------------------