%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : NUM520+3 : 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 : n015.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 0.22s 5.51s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : NUM520+3 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.16/5.46 % Computer : n015.cluster.edu
% 0.16/5.46 % Model : x86_64 x86_64
% 0.16/5.46 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/5.46 % Memory : 8046.5625MB
% 0.16/5.46 % OS : Linux 6.8.0-71-generic
% 0.16/5.46 % CPULimit : 300
% 0.16/5.46 % WCLimit : 300
% 0.16/5.46 % DateTime : Mon Sep 21 02:39:42 UTC 2026
% 0.16/5.46 % CPUTime :
% 0.16/5.48 % Drodi V4.1.1
% 0.22/5.51 % Refutation found
% 0.22/5.51 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.22/5.51 % SZS output start CNFRefutation for theBenchmark
% 0.22/5.51 fof(f46,hypothesis,(
% 0.22/5.51 ~ ( xk = sz00| xk = sz10 ) ),
% 0.22/5.51 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.22/5.51 fof(f47,hypothesis,(
% 0.22/5.51 ~ ( xk != sz00& xk != sz10 ) ),
% 0.22/5.51 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.22/5.51 fof(f210,plain,(
% 0.22/5.51 (~xk=sz00&~xk=sz10)),
% 0.22/5.51 inference(pre_NNF_transformation,[status(thm)],[f46])).
% 0.22/5.51 fof(f211,plain,(
% 0.22/5.51 ~xk=sz00),
% 0.22/5.51 inference(cnf_transformation,[status(thm)],[f210])).
% 0.22/5.51 fof(f212,plain,(
% 0.22/5.51 ~xk=sz10),
% 0.22/5.51 inference(cnf_transformation,[status(thm)],[f210])).
% 0.22/5.51 fof(f213,plain,(
% 0.22/5.51 (xk=sz00|xk=sz10)),
% 0.22/5.51 inference(pre_NNF_transformation,[status(thm)],[f47])).
% 0.22/5.51 fof(f214,plain,(
% 0.22/5.51 xk=sz00|xk=sz10),
% 0.22/5.51 inference(cnf_transformation,[status(thm)],[f213])).
% 0.22/5.51 fof(f240,definition,(
% 0.22/5.51 sQ0_spl <=> (xk=sz00)),
% 0.22/5.51 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.22/5.51 fof(f241,plain,(
% 0.22/5.51 xk=sz00|~sQ0_spl),
% 0.22/5.51 inference(component_clause,[status(thm)],[f240])).
% 0.22/5.51 fof(f243,definition,(
% 0.22/5.51 sQ1_spl <=> (xk=sz10)),
% 0.22/5.51 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.22/5.51 fof(f244,plain,(
% 0.22/5.51 xk=sz10|~sQ1_spl),
% 0.22/5.51 inference(component_clause,[status(thm)],[f243])).
% 0.22/5.51 fof(f246,plain,(
% 0.22/5.51 sQ0_spl|sQ1_spl),
% 0.22/5.51 inference(split_clause,[status(thm)],[f214,f240,f243])).
% 0.22/5.51 fof(f314,plain,(
% 0.22/5.51 $false|~sQ0_spl),
% 0.22/5.51 inference(forward_subsumption_resolution,[status(thm)],[f241,f211])).
% 0.22/5.51 fof(f315,plain,(
% 0.22/5.51 ~sQ0_spl),
% 0.22/5.51 inference(contradiction_clause,[status(thm)],[f314])).
% 0.22/5.51 fof(f316,plain,(
% 0.22/5.51 $false|~sQ1_spl),
% 0.22/5.51 inference(forward_subsumption_resolution,[status(thm)],[f244,f212])).
% 0.22/5.51 fof(f317,plain,(
% 0.22/5.51 ~sQ1_spl),
% 0.22/5.51 inference(contradiction_clause,[status(thm)],[f316])).
% 0.22/5.51 fof(f318,plain,(
% 0.22/5.51 $false),
% 0.22/5.51 inference(sat_refutation,[status(thm)],[f246,f315,f317])).
% 0.22/5.51 % SZS output end CNFRefutation for theBenchmark.p
% 0.22/5.58 % Elapsed time: 0.109968 seconds
% 0.22/5.58 % CPU time: 0.107528 seconds
% 0.22/5.58 % Total memory used: 3.384 MB
% 0.22/5.58 % Net memory used: 3.378 MB
%------------------------------------------------------------------------------