%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SWC023-1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n013.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 02:41:22 PM UTC 2026
% Result : Unsatisfiable 0.14s 10.41s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWC023-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/10.37 % Computer : n013.cluster.edu
% 0.09/10.37 % Model : x86_64 x86_64
% 0.09/10.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/10.37 % Memory : 8046.5625MB
% 0.09/10.37 % OS : Linux 6.8.0-71-generic
% 0.09/10.37 % CPULimit : 300
% 0.09/10.37 % WCLimit : 300
% 0.09/10.37 % DateTime : Mon Sep 21 07:49:34 UTC 2026
% 0.09/10.37 % CPUTime :
% 0.09/10.39 % Drodi V4.1.1
% 0.14/10.41 % Refutation found
% 0.14/10.41 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.14/10.41 % SZS output start CNFRefutation for theBenchmark
% 0.14/10.41 fof(f115,axiom,(
% 0.14/10.41 (![U,V]: (( U != V| ~ neq(U,V)| ~ ssList(V)| ~ ssList(U) ) ))),
% 0.14/10.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/10.41 fof(f189,negated_conjecture,(
% 0.14/10.41 ssList(sk4) ),
% 0.14/10.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/10.41 fof(f190,negated_conjecture,(
% 0.14/10.41 sk2 = sk4 ),
% 0.14/10.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/10.41 fof(f191,negated_conjecture,(
% 0.14/10.41 sk1 = sk3 ),
% 0.14/10.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/10.41 fof(f192,negated_conjecture,(
% 0.14/10.41 neq(sk2,nil) ),
% 0.14/10.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/10.41 fof(f193,negated_conjecture,(
% 0.14/10.41 (![A]: (( ~ ssList(A)| ~ neq(A,nil)| ~ frontsegP(sk2,A)| ~ frontsegP(sk1,A) ) ))),
% 0.14/10.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/10.41 fof(f194,negated_conjecture,(
% 0.14/10.41 ( ssList(sk5)| nil = sk4 ) ),
% 0.14/10.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/10.41 fof(f196,negated_conjecture,(
% 0.14/10.41 ( neq(sk5,nil)| nil = sk4 ) ),
% 0.14/10.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/10.41 fof(f197,negated_conjecture,(
% 0.14/10.41 ( frontsegP(sk4,sk5)| nil = sk4 ) ),
% 0.14/10.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/10.41 fof(f198,negated_conjecture,(
% 0.14/10.41 ( frontsegP(sk3,sk5)| nil = sk4 ) ),
% 0.14/10.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/10.41 fof(f322,plain,(
% 0.14/10.41 ![U]: ((![V]: ((~U=V|~neq(U,V))|~ssList(V)))|~ssList(U))),
% 0.14/10.41 inference(miniscoping,[status(thm)],[f115])).
% 0.14/10.41 fof(f323,plain,(
% 0.14/10.41 ![X0,X1]: (~X0=X1|~neq(X0,X1)|~ssList(X1)|~ssList(X0))),
% 0.14/10.41 inference(cnf_transformation,[status(thm)],[f322])).
% 0.14/10.41 fof(f435,plain,(
% 0.14/10.41 ssList(sk4)),
% 0.14/10.41 inference(cnf_transformation,[status(thm)],[f189])).
% 0.14/10.41 fof(f436,plain,(
% 0.14/10.41 sk2=sk4),
% 0.14/10.41 inference(cnf_transformation,[status(thm)],[f190])).
% 0.14/10.41 fof(f437,plain,(
% 0.14/10.41 sk1=sk3),
% 0.14/10.41 inference(cnf_transformation,[status(thm)],[f191])).
% 0.14/10.41 fof(f438,plain,(
% 0.14/10.41 neq(sk2,nil)),
% 0.14/10.41 inference(cnf_transformation,[status(thm)],[f192])).
% 0.14/10.41 fof(f439,plain,(
% 0.14/10.41 ![X0]: (~ssList(X0)|~neq(X0,nil)|~frontsegP(sk2,X0)|~frontsegP(sk1,X0))),
% 0.14/10.41 inference(cnf_transformation,[status(thm)],[f193])).
% 0.14/10.41 fof(f440,plain,(
% 0.14/10.41 ssList(sk5)|nil=sk4),
% 0.14/10.41 inference(cnf_transformation,[status(thm)],[f194])).
% 0.14/10.41 fof(f442,plain,(
% 0.14/10.41 neq(sk5,nil)|nil=sk4),
% 0.14/10.41 inference(cnf_transformation,[status(thm)],[f196])).
% 0.14/10.41 fof(f443,plain,(
% 0.14/10.41 frontsegP(sk4,sk5)|nil=sk4),
% 0.14/10.41 inference(cnf_transformation,[status(thm)],[f197])).
% 0.14/10.41 fof(f444,plain,(
% 0.14/10.41 frontsegP(sk3,sk5)|nil=sk4),
% 0.14/10.41 inference(cnf_transformation,[status(thm)],[f198])).
% 0.14/10.41 fof(f455,definition,(
% 0.14/10.41 sQ2_spl <=> (ssList(sk5))),
% 0.14/10.41 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 0.14/10.41 fof(f458,definition,(
% 0.14/10.41 sQ3_spl <=> (nil=sk4)),
% 0.14/10.41 introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition])).
% 0.14/10.41 fof(f459,plain,(
% 0.14/10.41 nil=sk4|~sQ3_spl),
% 0.14/10.41 inference(component_clause,[status(thm)],[f458])).
% 0.14/10.41 fof(f461,plain,(
% 0.14/10.41 sQ2_spl|sQ3_spl),
% 0.14/10.41 inference(split_clause,[status(thm)],[f440,f455,f458])).
% 0.14/10.41 fof(f466,definition,(
% 0.14/10.41 sQ5_spl <=> (neq(sk5,nil))),
% 0.14/10.41 introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition])).
% 0.14/10.41 fof(f469,plain,(
% 0.14/10.41 sQ5_spl|sQ3_spl),
% 0.14/10.41 inference(split_clause,[status(thm)],[f442,f466,f458])).
% 0.14/10.41 fof(f470,definition,(
% 0.14/10.41 sQ6_spl <=> (frontsegP(sk4,sk5))),
% 0.14/10.41 introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition])).
% 0.14/10.41 fof(f471,plain,(
% 0.14/10.41 frontsegP(sk4,sk5)|~sQ6_spl),
% 0.14/10.41 inference(component_clause,[status(thm)],[f470])).
% 0.14/10.41 fof(f473,plain,(
% 0.14/10.41 sQ6_spl|sQ3_spl),
% 0.14/10.41 inference(split_clause,[status(thm)],[f443,f470,f458])).
% 0.14/10.41 fof(f474,definition,(
% 0.14/10.41 sQ7_spl <=> (frontsegP(sk3,sk5))),
% 0.14/10.41 introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition])).
% 0.14/10.41 fof(f477,plain,(
% 0.14/10.41 sQ7_spl|sQ3_spl),
% 0.14/10.41 inference(split_clause,[status(thm)],[f444,f474,f458])).
% 0.14/10.41 fof(f488,plain,(
% 0.14/10.41 ![X1]: (~neq(X1,X1)|~ssList(X1)|~ssList(X1))),
% 0.14/10.41 inference(destructive_equality_resolution,[status(thm)],[f323])).
% 0.14/10.41 fof(f489,plain,(
% 0.14/10.41 ![X0]: (~neq(X0,X0)|~ssList(X0))),
% 0.14/10.41 inference(duplicate_literals_removal,[status(thm)],[f488])).
% 0.14/10.41 fof(f516,plain,(
% 0.14/10.41 neq(sk4,nil)),
% 0.14/10.41 inference(forward_demodulation,[status(thm)],[f436,f438])).
% 0.14/10.41 fof(f517,plain,(
% 0.14/10.41 neq(sk4,sk4)|~sQ3_spl),
% 0.14/10.41 inference(forward_demodulation,[status(thm)],[f459,f516])).
% 0.14/10.41 fof(f519,plain,(
% 0.14/10.41 ~ssList(sk4)|~sQ3_spl),
% 0.14/10.41 inference(resolution,[status(thm)],[f489,f517])).
% 0.14/10.41 fof(f520,plain,(
% 0.14/10.41 $false|~sQ3_spl),
% 0.14/10.41 inference(forward_subsumption_resolution,[status(thm)],[f519,f435])).
% 0.14/10.41 fof(f521,plain,(
% 0.14/10.41 ~sQ3_spl),
% 0.14/10.41 inference(contradiction_clause,[status(thm)],[f520])).
% 0.14/10.41 fof(f533,plain,(
% 0.14/10.41 ![X0]: (~ssList(X0)|~neq(X0,nil)|~frontsegP(sk4,X0)|~frontsegP(sk1,X0))),
% 0.14/10.41 inference(forward_demodulation,[status(thm)],[f436,f439])).
% 0.14/10.41 fof(f534,plain,(
% 0.14/10.41 ![X0]: (~ssList(X0)|~neq(X0,nil)|~frontsegP(sk4,X0)|~frontsegP(sk3,X0))),
% 0.14/10.41 inference(forward_demodulation,[status(thm)],[f437,f533])).
% 0.14/10.41 fof(f536,plain,(
% 0.14/10.41 ~ssList(sk5)|~neq(sk5,nil)|~frontsegP(sk3,sk5)|~sQ6_spl),
% 0.14/10.41 inference(resolution,[status(thm)],[f534,f471])).
% 0.14/10.41 fof(f549,plain,(
% 0.14/10.41 ~sQ2_spl|~sQ5_spl|~sQ7_spl|~sQ6_spl),
% 0.14/10.41 inference(split_clause,[status(thm)],[f536,f455,f466,f474,f470])).
% 0.14/10.41 fof(f561,plain,(
% 0.14/10.41 $false),
% 0.14/10.41 inference(sat_refutation,[status(thm)],[f461,f469,f473,f477,f521,f549])).
% 0.14/10.41 % SZS output end CNFRefutation for theBenchmark.p
% 0.14/10.43 % Elapsed time: 0.051178 seconds
% 0.14/10.43 % CPU time: 0.130707 seconds
% 0.14/10.43 % Total memory used: 54.534 MB
% 0.14/10.43 % Net memory used: 54.450 MB
%------------------------------------------------------------------------------