%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : NUM520+1 : TPTP v9.3.1. Released v4.0.0.
% 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 01:43:06 PM UTC 2026
% Result : Theorem 0.09s 0.38s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : NUM520+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.35 % Computer : n019.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 02:36:50 UTC 2026
% 0.09/0.35 % CPUTime :
% 0.09/0.36 % Drodi V4.1.1
% 0.09/0.38 % Refutation found
% 0.09/0.38 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.09/0.38 % SZS output start CNFRefutation for theBenchmark
% 0.09/0.38 fof(f46,hypothesis,(
% 0.09/0.38 ~ ( xk = sz00| xk = sz10 ) ),
% 0.09/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.38 fof(f47,hypothesis,(
% 0.09/0.38 ~ ( xk != sz00& xk != sz10 ) ),
% 0.09/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.38 fof(f182,plain,(
% 0.09/0.38 (~xk=sz00&~xk=sz10)),
% 0.09/0.38 inference(pre_NNF_transformation,[status(thm)],[f46])).
% 0.09/0.38 fof(f183,plain,(
% 0.09/0.38 ~xk=sz00),
% 0.09/0.38 inference(cnf_transformation,[status(thm)],[f182])).
% 0.09/0.38 fof(f184,plain,(
% 0.09/0.38 ~xk=sz10),
% 0.09/0.38 inference(cnf_transformation,[status(thm)],[f182])).
% 0.09/0.38 fof(f185,plain,(
% 0.09/0.38 (xk=sz00|xk=sz10)),
% 0.09/0.38 inference(pre_NNF_transformation,[status(thm)],[f47])).
% 0.09/0.38 fof(f186,plain,(
% 0.09/0.38 xk=sz00|xk=sz10),
% 0.09/0.38 inference(cnf_transformation,[status(thm)],[f185])).
% 0.09/0.38 fof(f190,definition,(
% 0.09/0.38 sQ0_spl <=> (xk=sz00)),
% 0.09/0.38 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.09/0.38 fof(f191,plain,(
% 0.09/0.38 xk=sz00|~sQ0_spl),
% 0.09/0.38 inference(component_clause,[status(thm)],[f190])).
% 0.09/0.38 fof(f193,definition,(
% 0.09/0.38 sQ1_spl <=> (xk=sz10)),
% 0.09/0.38 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.09/0.38 fof(f194,plain,(
% 0.09/0.38 xk=sz10|~sQ1_spl),
% 0.09/0.38 inference(component_clause,[status(thm)],[f193])).
% 0.09/0.38 fof(f196,plain,(
% 0.09/0.38 sQ0_spl|sQ1_spl),
% 0.09/0.38 inference(split_clause,[status(thm)],[f186,f190,f193])).
% 0.09/0.38 fof(f261,plain,(
% 0.09/0.38 $false|~sQ0_spl),
% 0.09/0.38 inference(forward_subsumption_resolution,[status(thm)],[f191,f183])).
% 0.09/0.38 fof(f262,plain,(
% 0.09/0.38 ~sQ0_spl),
% 0.09/0.38 inference(contradiction_clause,[status(thm)],[f261])).
% 0.09/0.38 fof(f263,plain,(
% 0.09/0.38 $false|~sQ1_spl),
% 0.09/0.38 inference(forward_subsumption_resolution,[status(thm)],[f194,f184])).
% 0.09/0.38 fof(f264,plain,(
% 0.09/0.38 ~sQ1_spl),
% 0.09/0.38 inference(contradiction_clause,[status(thm)],[f263])).
% 0.09/0.38 fof(f265,plain,(
% 0.09/0.38 $false),
% 0.09/0.38 inference(sat_refutation,[status(thm)],[f196,f262,f264])).
% 0.09/0.38 % SZS output end CNFRefutation for theBenchmark.p
% 0.15/0.42 % Elapsed time: 0.058647 seconds
% 0.15/0.42 % CPU time: 0.135809 seconds
% 0.15/0.42 % Total memory used: 68.703 MB
% 0.15/0.42 % Net memory used: 68.629 MB
%------------------------------------------------------------------------------