%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SWC256-1 : 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 : 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 02:41:59 PM UTC 2026
% Result : Unsatisfiable 0.15s 0.40s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWC256-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.36 % Computer : n006.cluster.edu
% 0.12/0.36 % Model : x86_64 x86_64
% 0.12/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.36 % Memory : 8046.5625MB
% 0.12/0.36 % OS : Linux 6.8.0-71-generic
% 0.12/0.36 % CPULimit : 300
% 0.12/0.36 % WCLimit : 300
% 0.12/0.36 % DateTime : Mon Sep 21 08:09:12 UTC 2026
% 0.12/0.37 % CPUTime :
% 0.15/0.38 % Drodi V4.1.1
% 0.15/0.40 % Refutation found
% 0.15/0.40 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.15/0.40 % SZS output start CNFRefutation for theBenchmark
% 0.15/0.40 fof(f9,axiom,(
% 0.15/0.40 ssItem(skac3) ),
% 0.15/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.40 fof(f115,axiom,(
% 0.15/0.40 (![U,V]: (( U != V| ~ neq(U,V)| ~ ssList(V)| ~ ssList(U) ) ))),
% 0.15/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.40 fof(f116,axiom,(
% 0.15/0.40 (![U,V]: (( cons(U,nil) != V| ~ ssItem(U)| ~ ssList(V)| singletonP(V) ) ))),
% 0.15/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.40 fof(f188,negated_conjecture,(
% 0.15/0.40 ssList(sk3) ),
% 0.15/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.40 fof(f189,negated_conjecture,(
% 0.15/0.40 ssList(sk4) ),
% 0.15/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.40 fof(f190,negated_conjecture,(
% 0.15/0.40 sk2 = sk4 ),
% 0.15/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.40 fof(f191,negated_conjecture,(
% 0.15/0.40 sk1 = sk3 ),
% 0.15/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.40 fof(f192,negated_conjecture,(
% 0.15/0.40 neq(sk2,nil) ),
% 0.15/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.40 fof(f193,negated_conjecture,(
% 0.15/0.40 ~ singletonP(sk1) ),
% 0.15/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.40 fof(f194,negated_conjecture,(
% 0.15/0.40 ( ssItem(sk5)| nil = sk4 ) ),
% 0.15/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.40 fof(f196,negated_conjecture,(
% 0.15/0.40 ( cons(sk5,nil) = sk3| nil = sk4 ) ),
% 0.15/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.40 fof(f208,plain,(
% 0.15/0.40 ssItem(skac3)),
% 0.15/0.40 inference(cnf_transformation,[status(thm)],[f9])).
% 0.15/0.40 fof(f320,plain,(
% 0.15/0.40 ![U]: ((![V]: ((~U=V|~neq(U,V))|~ssList(V)))|~ssList(U))),
% 0.15/0.40 inference(miniscoping,[status(thm)],[f115])).
% 0.15/0.40 fof(f321,plain,(
% 0.15/0.40 ![X0,X1]: (~X0=X1|~neq(X0,X1)|~ssList(X1)|~ssList(X0))),
% 0.15/0.40 inference(cnf_transformation,[status(thm)],[f320])).
% 0.15/0.40 fof(f322,plain,(
% 0.15/0.40 ![V]: (((![U]: (~cons(U,nil)=V|~ssItem(U)))|~ssList(V))|singletonP(V))),
% 0.15/0.40 inference(miniscoping,[status(thm)],[f116])).
% 0.15/0.40 fof(f323,plain,(
% 0.15/0.40 ![X0,X1]: (~cons(X0,nil)=X1|~ssItem(X0)|~ssList(X1)|singletonP(X1))),
% 0.15/0.40 inference(cnf_transformation,[status(thm)],[f322])).
% 0.15/0.40 fof(f432,plain,(
% 0.15/0.40 ssList(sk3)),
% 0.15/0.40 inference(cnf_transformation,[status(thm)],[f188])).
% 0.15/0.40 fof(f433,plain,(
% 0.15/0.40 ssList(sk4)),
% 0.15/0.40 inference(cnf_transformation,[status(thm)],[f189])).
% 0.15/0.40 fof(f434,plain,(
% 0.15/0.40 sk2=sk4),
% 0.15/0.40 inference(cnf_transformation,[status(thm)],[f190])).
% 0.15/0.40 fof(f435,plain,(
% 0.15/0.40 sk1=sk3),
% 0.15/0.40 inference(cnf_transformation,[status(thm)],[f191])).
% 0.15/0.40 fof(f436,plain,(
% 0.15/0.40 neq(sk2,nil)),
% 0.15/0.40 inference(cnf_transformation,[status(thm)],[f192])).
% 0.15/0.40 fof(f437,plain,(
% 0.15/0.40 ~singletonP(sk1)),
% 0.15/0.40 inference(cnf_transformation,[status(thm)],[f193])).
% 0.15/0.40 fof(f438,plain,(
% 0.15/0.40 ssItem(sk5)|nil=sk4),
% 0.15/0.40 inference(cnf_transformation,[status(thm)],[f194])).
% 0.15/0.40 fof(f440,plain,(
% 0.15/0.40 cons(sk5,nil)=sk3|nil=sk4),
% 0.15/0.40 inference(cnf_transformation,[status(thm)],[f196])).
% 0.15/0.40 fof(f451,definition,(
% 0.15/0.40 sQ2_spl <=> (ssItem(sk5))),
% 0.15/0.40 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 0.15/0.40 fof(f454,definition,(
% 0.15/0.40 sQ3_spl <=> (nil=sk4)),
% 0.15/0.40 introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition])).
% 0.15/0.40 fof(f455,plain,(
% 0.15/0.40 nil=sk4|~sQ3_spl),
% 0.15/0.40 inference(component_clause,[status(thm)],[f454])).
% 0.15/0.40 fof(f457,plain,(
% 0.15/0.40 sQ2_spl|sQ3_spl),
% 0.15/0.40 inference(split_clause,[status(thm)],[f438,f451,f454])).
% 0.15/0.40 fof(f462,definition,(
% 0.15/0.40 sQ5_spl <=> (cons(sk5,nil)=sk3)),
% 0.15/0.40 introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition])).
% 0.15/0.40 fof(f463,plain,(
% 0.15/0.40 cons(sk5,nil)=sk3|~sQ5_spl),
% 0.15/0.40 inference(component_clause,[status(thm)],[f462])).
% 0.15/0.40 fof(f465,plain,(
% 0.15/0.40 sQ5_spl|sQ3_spl),
% 0.15/0.40 inference(split_clause,[status(thm)],[f440,f462,f454])).
% 0.15/0.40 fof(f479,plain,(
% 0.15/0.40 ![X1]: (~neq(X1,X1)|~ssList(X1)|~ssList(X1))),
% 0.15/0.40 inference(destructive_equality_resolution,[status(thm)],[f321])).
% 0.15/0.40 fof(f480,plain,(
% 0.15/0.40 ![X0]: (~neq(X0,X0)|~ssList(X0))),
% 0.15/0.40 inference(duplicate_literals_removal,[status(thm)],[f479])).
% 0.15/0.40 fof(f481,plain,(
% 0.15/0.40 ![X0]: (~ssItem(X0)|~ssList(cons(X0,nil))|singletonP(cons(X0,nil)))),
% 0.15/0.40 inference(destructive_equality_resolution,[status(thm)],[f323])).
% 0.15/0.40 fof(f503,plain,(
% 0.15/0.40 ~singletonP(sk3)),
% 0.15/0.40 inference(forward_demodulation,[status(thm)],[f435,f437])).
% 0.15/0.40 fof(f510,plain,(
% 0.15/0.40 neq(sk4,nil)),
% 0.15/0.40 inference(forward_demodulation,[status(thm)],[f434,f436])).
% 0.15/0.40 fof(f511,plain,(
% 0.15/0.40 neq(sk4,sk4)|~sQ3_spl),
% 0.15/0.40 inference(forward_demodulation,[status(thm)],[f455,f510])).
% 0.15/0.40 fof(f512,plain,(
% 0.15/0.40 ~ssList(sk4)|~sQ3_spl),
% 0.15/0.40 inference(resolution,[status(thm)],[f480,f511])).
% 0.15/0.40 fof(f513,plain,(
% 0.15/0.40 $false|~sQ3_spl),
% 0.15/0.40 inference(forward_subsumption_resolution,[status(thm)],[f512,f433])).
% 0.15/0.40 fof(f514,plain,(
% 0.15/0.40 ~sQ3_spl),
% 0.15/0.40 inference(contradiction_clause,[status(thm)],[f513])).
% 0.15/0.40 fof(f861,plain,(
% 0.15/0.40 ~ssItem(sk5)|~ssList(sk3)|singletonP(cons(sk5,nil))|~sQ5_spl),
% 0.15/0.40 inference(paramodulation,[status(thm)],[f463,f481])).
% 0.15/0.40 fof(f862,definition,(
% 0.15/0.40 sQ23_spl <=> (ssItem(skac3))),
% 0.15/0.40 introduced(definition,[new_symbols(definition,[sQ23_spl])],[split_symbol_definition])).
% 0.15/0.40 fof(f864,plain,(
% 0.15/0.40 ~ssItem(skac3)|sQ23_spl),
% 0.15/0.40 inference(component_clause,[status(thm)],[f862])).
% 0.15/0.40 fof(f869,definition,(
% 0.15/0.40 sQ25_spl <=> (ssList(sk3))),
% 0.15/0.40 introduced(definition,[new_symbols(definition,[sQ25_spl])],[split_symbol_definition])).
% 0.15/0.40 fof(f871,plain,(
% 0.15/0.40 ~ssList(sk3)|sQ25_spl),
% 0.15/0.40 inference(component_clause,[status(thm)],[f869])).
% 0.15/0.40 fof(f872,definition,(
% 0.15/0.40 sQ26_spl <=> (singletonP(cons(sk5,nil)))),
% 0.15/0.40 introduced(definition,[new_symbols(definition,[sQ26_spl])],[split_symbol_definition])).
% 0.15/0.40 fof(f873,plain,(
% 0.15/0.40 singletonP(cons(sk5,nil))|~sQ26_spl),
% 0.15/0.40 inference(component_clause,[status(thm)],[f872])).
% 0.15/0.40 fof(f875,plain,(
% 0.15/0.40 ~sQ2_spl|~sQ25_spl|sQ26_spl|~sQ5_spl),
% 0.15/0.40 inference(split_clause,[status(thm)],[f861,f451,f869,f872,f462])).
% 0.15/0.40 fof(f876,plain,(
% 0.15/0.40 $false|sQ25_spl),
% 0.15/0.40 inference(forward_subsumption_resolution,[status(thm)],[f871,f432])).
% 0.15/0.40 fof(f877,plain,(
% 0.15/0.40 sQ25_spl),
% 0.15/0.40 inference(contradiction_clause,[status(thm)],[f876])).
% 0.15/0.40 fof(f878,plain,(
% 0.15/0.40 $false|sQ23_spl),
% 0.15/0.40 inference(forward_subsumption_resolution,[status(thm)],[f864,f208])).
% 0.15/0.40 fof(f879,plain,(
% 0.15/0.40 sQ23_spl),
% 0.15/0.40 inference(contradiction_clause,[status(thm)],[f878])).
% 0.15/0.40 fof(f880,plain,(
% 0.15/0.40 singletonP(sk3)|~sQ5_spl|~sQ26_spl),
% 0.15/0.40 inference(forward_demodulation,[status(thm)],[f463,f873])).
% 0.15/0.40 fof(f881,plain,(
% 0.15/0.40 $false|~sQ5_spl|~sQ26_spl),
% 0.15/0.40 inference(forward_subsumption_resolution,[status(thm)],[f880,f503])).
% 0.15/0.40 fof(f882,plain,(
% 0.15/0.40 ~sQ5_spl|~sQ26_spl),
% 0.15/0.40 inference(contradiction_clause,[status(thm)],[f881])).
% 0.15/0.40 fof(f883,plain,(
% 0.15/0.40 $false),
% 0.15/0.40 inference(sat_refutation,[status(thm)],[f457,f465,f514,f875,f877,f879,f882])).
% 0.15/0.40 % SZS output end CNFRefutation for theBenchmark.p
% 0.15/0.43 % Elapsed time: 0.054057 seconds
% 0.15/0.43 % CPU time: 0.181752 seconds
% 0.15/0.43 % Total memory used: 109.444 MB
% 0.15/0.43 % Net memory used: 109.268 MB
%------------------------------------------------------------------------------