%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SWC082-1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n010.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 02:41:32 PM UTC 2026
% Result : Unsatisfiable 0.13s 0.60s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWC082-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.56 % Computer : n010.cluster.edu
% 0.08/0.56 % Model : x86_64 x86_64
% 0.08/0.56 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.56 % Memory : 8046.5625MB
% 0.08/0.56 % OS : Linux 6.8.0-71-generic
% 0.08/0.56 % CPULimit : 300
% 0.08/0.56 % WCLimit : 300
% 0.08/0.56 % DateTime : Mon Sep 21 07:54:41 UTC 2026
% 0.08/0.56 % CPUTime :
% 0.08/0.58 % Drodi V4.1.1
% 0.13/0.60 % Refutation found
% 0.13/0.60 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.13/0.60 % SZS output start CNFRefutation for theBenchmark
% 0.13/0.60 fof(f190,negated_conjecture,(
% 0.13/0.60 sk2 = sk4 ),
% 0.13/0.60 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.60 fof(f191,negated_conjecture,(
% 0.13/0.60 sk1 = sk3 ),
% 0.13/0.60 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.60 fof(f192,negated_conjecture,(
% 0.13/0.60 neq(sk2,nil) ),
% 0.13/0.60 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.60 fof(f193,negated_conjecture,(
% 0.13/0.60 (![A]: (( ~ ssList(A)| ~ neq(A,nil)| ~ segmentP(sk2,A)| ~ segmentP(sk1,A) ) ))),
% 0.13/0.60 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.60 fof(f195,negated_conjecture,(
% 0.13/0.60 ( ssList(sk5)| ~ neq(sk4,nil) ) ),
% 0.13/0.60 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.60 fof(f196,negated_conjecture,(
% 0.13/0.60 ( neq(sk5,nil)| ~ neq(sk4,nil) ) ),
% 0.13/0.60 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.60 fof(f197,negated_conjecture,(
% 0.13/0.60 ( segmentP(sk4,sk5)| ~ neq(sk4,nil) ) ),
% 0.13/0.60 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.60 fof(f198,negated_conjecture,(
% 0.13/0.60 ( segmentP(sk3,sk5)| ~ neq(sk4,nil) ) ),
% 0.13/0.60 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.60 fof(f433,plain,(
% 0.13/0.60 sk2=sk4),
% 0.13/0.60 inference(cnf_transformation,[status(thm)],[f190])).
% 0.13/0.60 fof(f434,plain,(
% 0.13/0.60 sk1=sk3),
% 0.13/0.60 inference(cnf_transformation,[status(thm)],[f191])).
% 0.13/0.60 fof(f435,plain,(
% 0.13/0.60 neq(sk2,nil)),
% 0.13/0.60 inference(cnf_transformation,[status(thm)],[f192])).
% 0.13/0.60 fof(f436,plain,(
% 0.13/0.60 ![X0]: (~ssList(X0)|~neq(X0,nil)|~segmentP(sk2,X0)|~segmentP(sk1,X0))),
% 0.13/0.60 inference(cnf_transformation,[status(thm)],[f193])).
% 0.13/0.60 fof(f438,plain,(
% 0.13/0.60 ssList(sk5)|~neq(sk4,nil)),
% 0.13/0.60 inference(cnf_transformation,[status(thm)],[f195])).
% 0.13/0.60 fof(f439,plain,(
% 0.13/0.60 neq(sk5,nil)|~neq(sk4,nil)),
% 0.13/0.60 inference(cnf_transformation,[status(thm)],[f196])).
% 0.13/0.60 fof(f440,plain,(
% 0.13/0.60 segmentP(sk4,sk5)|~neq(sk4,nil)),
% 0.13/0.60 inference(cnf_transformation,[status(thm)],[f197])).
% 0.13/0.60 fof(f441,plain,(
% 0.13/0.60 segmentP(sk3,sk5)|~neq(sk4,nil)),
% 0.13/0.60 inference(cnf_transformation,[status(thm)],[f198])).
% 0.13/0.60 fof(f456,definition,(
% 0.13/0.60 sQ4_spl <=> (ssList(sk5))),
% 0.13/0.60 introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition])).
% 0.13/0.61 fof(f459,definition,(
% 0.13/0.61 sQ5_spl <=> (neq(sk4,nil))),
% 0.13/0.61 introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition])).
% 0.13/0.61 fof(f461,plain,(
% 0.13/0.61 ~neq(sk4,nil)|sQ5_spl),
% 0.13/0.61 inference(component_clause,[status(thm)],[f459])).
% 0.13/0.61 fof(f462,plain,(
% 0.13/0.61 sQ4_spl|~sQ5_spl),
% 0.13/0.61 inference(split_clause,[status(thm)],[f438,f456,f459])).
% 0.13/0.61 fof(f463,definition,(
% 0.13/0.61 sQ6_spl <=> (neq(sk5,nil))),
% 0.13/0.61 introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition])).
% 0.13/0.61 fof(f466,plain,(
% 0.13/0.61 sQ6_spl|~sQ5_spl),
% 0.13/0.61 inference(split_clause,[status(thm)],[f439,f463,f459])).
% 0.13/0.61 fof(f467,definition,(
% 0.13/0.61 sQ7_spl <=> (segmentP(sk4,sk5))),
% 0.13/0.61 introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition])).
% 0.13/0.61 fof(f468,plain,(
% 0.13/0.61 segmentP(sk4,sk5)|~sQ7_spl),
% 0.13/0.61 inference(component_clause,[status(thm)],[f467])).
% 0.13/0.61 fof(f470,plain,(
% 0.13/0.61 sQ7_spl|~sQ5_spl),
% 0.13/0.61 inference(split_clause,[status(thm)],[f440,f467,f459])).
% 0.13/0.61 fof(f471,definition,(
% 0.13/0.61 sQ8_spl <=> (segmentP(sk3,sk5))),
% 0.13/0.61 introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition])).
% 0.13/0.61 fof(f474,plain,(
% 0.13/0.61 sQ8_spl|~sQ5_spl),
% 0.13/0.61 inference(split_clause,[status(thm)],[f441,f471,f459])).
% 0.13/0.61 fof(f507,plain,(
% 0.13/0.61 neq(sk4,nil)),
% 0.13/0.61 inference(forward_demodulation,[status(thm)],[f433,f435])).
% 0.13/0.61 fof(f528,plain,(
% 0.13/0.61 ![X0]: (~ssList(X0)|~neq(X0,nil)|~segmentP(sk4,X0)|~segmentP(sk1,X0))),
% 0.13/0.61 inference(forward_demodulation,[status(thm)],[f433,f436])).
% 0.13/0.61 fof(f529,plain,(
% 0.13/0.61 ![X0]: (~ssList(X0)|~neq(X0,nil)|~segmentP(sk4,X0)|~segmentP(sk3,X0))),
% 0.13/0.61 inference(forward_demodulation,[status(thm)],[f434,f528])).
% 0.13/0.61 fof(f531,plain,(
% 0.13/0.61 ~ssList(sk5)|~neq(sk5,nil)|~segmentP(sk3,sk5)|~sQ7_spl),
% 0.13/0.61 inference(resolution,[status(thm)],[f529,f468])).
% 0.13/0.61 fof(f544,plain,(
% 0.13/0.61 ~sQ4_spl|~sQ6_spl|~sQ8_spl|~sQ7_spl),
% 0.13/0.61 inference(split_clause,[status(thm)],[f531,f456,f463,f471,f467])).
% 0.13/0.61 fof(f579,plain,(
% 0.13/0.61 $false|sQ5_spl),
% 0.13/0.61 inference(forward_subsumption_resolution,[status(thm)],[f461,f507])).
% 0.13/0.61 fof(f580,plain,(
% 0.13/0.61 sQ5_spl),
% 0.13/0.61 inference(contradiction_clause,[status(thm)],[f579])).
% 0.13/0.61 fof(f581,plain,(
% 0.13/0.61 $false),
% 0.13/0.61 inference(sat_refutation,[status(thm)],[f462,f466,f470,f474,f544,f580])).
% 0.13/0.61 % SZS output end CNFRefutation for theBenchmark.p
% 0.13/0.66 % Elapsed time: 0.080410 seconds
% 0.13/0.66 % CPU time: 0.210293 seconds
% 0.13/0.66 % Total memory used: 108.699 MB
% 0.13/0.66 % Net memory used: 108.542 MB
%------------------------------------------------------------------------------