%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SWC352-1 : 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 : n004.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 02:42:14 PM UTC 2026
% Result : Unsatisfiable 0.19s 0.49s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SWC352-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.06 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.44 % Computer : n004.cluster.edu
% 0.19/0.44 % Model : x86_64 x86_64
% 0.19/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.19/0.44 % Memory : 8046.5625MB
% 0.19/0.44 % OS : Linux 6.8.0-71-generic
% 0.19/0.44 % CPULimit : 300
% 0.19/0.44 % WCLimit : 300
% 0.19/0.44 % DateTime : Mon Sep 21 08:18:05 UTC 2026
% 0.19/0.44 % CPUTime :
% 0.19/0.47 % Drodi V4.1.1
% 0.19/0.49 % Refutation found
% 0.19/0.49 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.19/0.49 % SZS output start CNFRefutation for theBenchmark
% 0.19/0.49 fof(f8,axiom,(
% 0.19/0.49 ssList(nil) ),
% 0.19/0.49 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.49 fof(f60,axiom,(
% 0.19/0.49 (![U]: (( ~ ssList(U)| frontsegP(U,nil) ) ))),
% 0.19/0.49 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.49 fof(f100,axiom,(
% 0.19/0.49 (![U,V]: (( ~ ssList(U)| ~ ssList(V)| neq(V,U)| V = U ) ))),
% 0.19/0.49 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.49 fof(f189,negated_conjecture,(
% 0.19/0.49 ssList(sk4) ),
% 0.19/0.49 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.49 fof(f190,negated_conjecture,(
% 0.19/0.49 sk2 = sk4 ),
% 0.19/0.49 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.49 fof(f191,negated_conjecture,(
% 0.19/0.49 sk1 = sk3 ),
% 0.19/0.49 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.49 fof(f192,negated_conjecture,(
% 0.19/0.49 ~ frontsegP(sk2,sk1) ),
% 0.19/0.49 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.49 fof(f193,negated_conjecture,(
% 0.19/0.49 ( nil = sk3| nil != sk4 ) ),
% 0.19/0.49 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.49 fof(f195,negated_conjecture,(
% 0.19/0.49 ( ~ neq(sk4,nil)| frontsegP(sk4,sk3) ) ),
% 0.19/0.49 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.49 fof(f203,plain,(
% 0.19/0.49 ssList(nil)),
% 0.19/0.49 inference(cnf_transformation,[status(thm)],[f8])).
% 0.19/0.49 fof(f255,plain,(
% 0.19/0.49 ![X0]: (~ssList(X0)|frontsegP(X0,nil))),
% 0.19/0.49 inference(cnf_transformation,[status(thm)],[f60])).
% 0.19/0.49 fof(f298,plain,(
% 0.19/0.49 ![X0,X1]: (~ssList(X0)|~ssList(X1)|neq(X1,X0)|X1=X0)),
% 0.19/0.49 inference(cnf_transformation,[status(thm)],[f100])).
% 0.19/0.49 fof(f429,plain,(
% 0.19/0.49 ssList(sk4)),
% 0.19/0.49 inference(cnf_transformation,[status(thm)],[f189])).
% 0.19/0.49 fof(f430,plain,(
% 0.19/0.49 sk2=sk4),
% 0.19/0.49 inference(cnf_transformation,[status(thm)],[f190])).
% 0.19/0.49 fof(f431,plain,(
% 0.19/0.49 sk1=sk3),
% 0.19/0.49 inference(cnf_transformation,[status(thm)],[f191])).
% 0.19/0.49 fof(f432,plain,(
% 0.19/0.49 ~frontsegP(sk2,sk1)),
% 0.19/0.49 inference(cnf_transformation,[status(thm)],[f192])).
% 0.19/0.49 fof(f433,plain,(
% 0.19/0.49 nil=sk3|~nil=sk4),
% 0.19/0.49 inference(cnf_transformation,[status(thm)],[f193])).
% 0.19/0.49 fof(f435,plain,(
% 0.19/0.49 ~neq(sk4,nil)|frontsegP(sk4,sk3)),
% 0.19/0.49 inference(cnf_transformation,[status(thm)],[f195])).
% 0.19/0.49 fof(f443,definition,(
% 0.19/0.49 sQ2_spl <=> (nil=sk3)),
% 0.19/0.49 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 0.19/0.49 fof(f444,plain,(
% 0.19/0.49 nil=sk3|~sQ2_spl),
% 0.19/0.49 inference(component_clause,[status(thm)],[f443])).
% 0.19/0.49 fof(f446,definition,(
% 0.19/0.49 sQ3_spl <=> (nil=sk4)),
% 0.19/0.49 introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition])).
% 0.19/0.49 fof(f449,plain,(
% 0.19/0.49 sQ2_spl|~sQ3_spl),
% 0.19/0.49 inference(split_clause,[status(thm)],[f433,f443,f446])).
% 0.19/0.49 fof(f450,definition,(
% 0.19/0.49 sQ4_spl <=> (neq(sk4,nil))),
% 0.19/0.49 introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition])).
% 0.19/0.49 fof(f457,definition,(
% 0.19/0.49 sQ6_spl <=> (frontsegP(sk4,sk3))),
% 0.19/0.49 introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition])).
% 0.19/0.49 fof(f458,plain,(
% 0.19/0.49 frontsegP(sk4,sk3)|~sQ6_spl),
% 0.19/0.49 inference(component_clause,[status(thm)],[f457])).
% 0.19/0.49 fof(f460,plain,(
% 0.19/0.49 ~sQ4_spl|sQ6_spl),
% 0.19/0.49 inference(split_clause,[status(thm)],[f435,f450,f457])).
% 0.19/0.49 fof(f493,plain,(
% 0.19/0.49 ~frontsegP(sk4,sk1)),
% 0.19/0.49 inference(forward_demodulation,[status(thm)],[f430,f432])).
% 0.19/0.49 fof(f494,plain,(
% 0.19/0.49 ~frontsegP(sk4,sk3)),
% 0.19/0.49 inference(forward_demodulation,[status(thm)],[f431,f493])).
% 0.19/0.49 fof(f498,plain,(
% 0.19/0.49 ![X0]: (~ssList(X0)|frontsegP(X0,sk3)|~sQ2_spl)),
% 0.19/0.49 inference(forward_demodulation,[status(thm)],[f444,f255])).
% 0.19/0.49 fof(f499,plain,(
% 0.19/0.49 frontsegP(sk4,sk3)|~sQ2_spl),
% 0.19/0.49 inference(resolution,[status(thm)],[f498,f429])).
% 0.19/0.49 fof(f501,plain,(
% 0.19/0.49 $false|~sQ2_spl),
% 0.19/0.49 inference(forward_subsumption_resolution,[status(thm)],[f499,f494])).
% 0.19/0.49 fof(f502,plain,(
% 0.19/0.49 ~sQ2_spl),
% 0.19/0.49 inference(contradiction_clause,[status(thm)],[f501])).
% 0.19/0.49 fof(f526,plain,(
% 0.19/0.49 ![X0]: (~ssList(X0)|neq(X0,nil)|X0=nil)),
% 0.19/0.49 inference(resolution,[status(thm)],[f298,f203])).
% 0.19/0.49 fof(f533,plain,(
% 0.19/0.49 neq(sk4,nil)|sk4=nil),
% 0.19/0.49 inference(resolution,[status(thm)],[f526,f429])).
% 0.19/0.49 fof(f539,plain,(
% 0.19/0.49 sQ4_spl|sQ3_spl),
% 0.19/0.49 inference(split_clause,[status(thm)],[f533,f450,f446])).
% 0.19/0.49 fof(f541,plain,(
% 0.19/0.49 $false|~sQ6_spl),
% 0.19/0.49 inference(forward_subsumption_resolution,[status(thm)],[f458,f494])).
% 0.19/0.49 fof(f542,plain,(
% 0.19/0.49 ~sQ6_spl),
% 0.19/0.49 inference(contradiction_clause,[status(thm)],[f541])).
% 0.19/0.49 fof(f543,plain,(
% 0.19/0.49 $false),
% 0.19/0.49 inference(sat_refutation,[status(thm)],[f449,f460,f502,f539,f542])).
% 0.19/0.49 % SZS output end CNFRefutation for theBenchmark.p
% 0.23/0.56 % Elapsed time: 0.104003 seconds
% 0.23/0.56 % CPU time: 0.112291 seconds
% 0.23/0.56 % Total memory used: 20.427 MB
% 0.23/0.56 % Net memory used: 20.399 MB
%------------------------------------------------------------------------------