%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SWC020-1 : 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 : n019.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 02:41:21 PM UTC 2026
% Result : Unsatisfiable 0.18s 0.52s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SWC020-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.07 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.45 % Computer : n019.cluster.edu
% 0.18/0.45 % Model : x86_64 x86_64
% 0.18/0.45 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.45 % Memory : 8046.5625MB
% 0.18/0.45 % OS : Linux 6.8.0-71-generic
% 0.18/0.45 % CPULimit : 300
% 0.18/0.45 % WCLimit : 300
% 0.18/0.45 % DateTime : Mon Sep 21 07:49:51 UTC 2026
% 0.18/0.46 % CPUTime :
% 0.18/0.51 % Drodi V4.1.1
% 0.18/0.52 % Refutation found
% 0.18/0.52 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.18/0.52 % SZS output start CNFRefutation for theBenchmark
% 0.18/0.52 fof(f61,axiom,(
% 0.18/0.52 (![U]: (( ~ ssList(U)| frontsegP(U,U) ) ))),
% 0.18/0.52 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.18/0.52 fof(f188,negated_conjecture,(
% 0.18/0.52 ssList(sk3) ),
% 0.18/0.52 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.18/0.52 fof(f190,negated_conjecture,(
% 0.18/0.52 sk2 = sk4 ),
% 0.18/0.52 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.18/0.52 fof(f191,negated_conjecture,(
% 0.18/0.52 sk1 = sk3 ),
% 0.18/0.52 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.18/0.52 fof(f192,negated_conjecture,(
% 0.18/0.52 (![A]: (( ~ ssList(A)| ~ neq(A,nil)| ~ frontsegP(sk2,A)| ~ frontsegP(sk1,A) ) ))),
% 0.18/0.52 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.18/0.52 fof(f193,negated_conjecture,(
% 0.18/0.52 ( nil != sk2| nil != sk1 ) ),
% 0.18/0.52 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.18/0.52 fof(f194,negated_conjecture,(
% 0.18/0.52 ( nil = sk4| neq(sk3,nil) ) ),
% 0.18/0.52 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.18/0.52 fof(f195,negated_conjecture,(
% 0.18/0.52 ( nil = sk4| frontsegP(sk4,sk3) ) ),
% 0.18/0.52 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.18/0.52 fof(f196,negated_conjecture,(
% 0.18/0.52 ( nil = sk3| neq(sk3,nil) ) ),
% 0.18/0.52 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.18/0.52 fof(f197,negated_conjecture,(
% 0.18/0.52 ( nil = sk3| frontsegP(sk4,sk3) ) ),
% 0.18/0.52 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.18/0.52 fof(f258,plain,(
% 0.18/0.52 ![X0]: (~ssList(X0)|frontsegP(X0,X0))),
% 0.18/0.52 inference(cnf_transformation,[status(thm)],[f61])).
% 0.18/0.52 fof(f430,plain,(
% 0.18/0.52 ssList(sk3)),
% 0.18/0.52 inference(cnf_transformation,[status(thm)],[f188])).
% 0.18/0.52 fof(f432,plain,(
% 0.18/0.52 sk2=sk4),
% 0.18/0.52 inference(cnf_transformation,[status(thm)],[f190])).
% 0.18/0.52 fof(f433,plain,(
% 0.18/0.52 sk1=sk3),
% 0.18/0.52 inference(cnf_transformation,[status(thm)],[f191])).
% 0.18/0.52 fof(f434,plain,(
% 0.18/0.52 ![X0]: (~ssList(X0)|~neq(X0,nil)|~frontsegP(sk2,X0)|~frontsegP(sk1,X0))),
% 0.18/0.52 inference(cnf_transformation,[status(thm)],[f192])).
% 0.18/0.52 fof(f435,plain,(
% 0.18/0.52 ~nil=sk2|~nil=sk1),
% 0.18/0.52 inference(cnf_transformation,[status(thm)],[f193])).
% 0.18/0.52 fof(f436,plain,(
% 0.18/0.52 nil=sk4|neq(sk3,nil)),
% 0.18/0.52 inference(cnf_transformation,[status(thm)],[f194])).
% 0.18/0.52 fof(f437,plain,(
% 0.18/0.52 nil=sk4|frontsegP(sk4,sk3)),
% 0.18/0.52 inference(cnf_transformation,[status(thm)],[f195])).
% 0.18/0.52 fof(f438,plain,(
% 0.18/0.52 nil=sk3|neq(sk3,nil)),
% 0.18/0.52 inference(cnf_transformation,[status(thm)],[f196])).
% 0.18/0.52 fof(f439,plain,(
% 0.18/0.52 nil=sk3|frontsegP(sk4,sk3)),
% 0.18/0.52 inference(cnf_transformation,[status(thm)],[f197])).
% 0.18/0.52 fof(f447,definition,(
% 0.18/0.52 sQ2_spl <=> (nil=sk2)),
% 0.18/0.52 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 0.18/0.52 fof(f449,plain,(
% 0.18/0.52 ~nil=sk2|sQ2_spl),
% 0.18/0.52 inference(component_clause,[status(thm)],[f447])).
% 0.18/0.52 fof(f450,definition,(
% 0.18/0.52 sQ3_spl <=> (nil=sk1)),
% 0.18/0.52 introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition])).
% 0.18/0.52 fof(f452,plain,(
% 0.18/0.52 ~nil=sk1|sQ3_spl),
% 0.18/0.52 inference(component_clause,[status(thm)],[f450])).
% 0.18/0.52 fof(f453,plain,(
% 0.18/0.52 ~sQ2_spl|~sQ3_spl),
% 0.18/0.52 inference(split_clause,[status(thm)],[f435,f447,f450])).
% 0.18/0.52 fof(f454,definition,(
% 0.18/0.52 sQ4_spl <=> (nil=sk4)),
% 0.18/0.52 introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition])).
% 0.18/0.52 fof(f455,plain,(
% 0.18/0.52 nil=sk4|~sQ4_spl),
% 0.18/0.52 inference(component_clause,[status(thm)],[f454])).
% 0.18/0.52 fof(f457,definition,(
% 0.18/0.52 sQ5_spl <=> (neq(sk3,nil))),
% 0.18/0.52 introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition])).
% 0.18/0.52 fof(f460,plain,(
% 0.18/0.52 sQ4_spl|sQ5_spl),
% 0.18/0.52 inference(split_clause,[status(thm)],[f436,f454,f457])).
% 0.18/0.52 fof(f461,definition,(
% 0.18/0.52 sQ6_spl <=> (frontsegP(sk4,sk3))),
% 0.18/0.52 introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition])).
% 0.18/0.52 fof(f464,plain,(
% 0.18/0.52 sQ4_spl|sQ6_spl),
% 0.18/0.52 inference(split_clause,[status(thm)],[f437,f454,f461])).
% 0.18/0.52 fof(f465,definition,(
% 0.18/0.52 sQ7_spl <=> (nil=sk3)),
% 0.18/0.52 introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition])).
% 0.18/0.52 fof(f466,plain,(
% 0.18/0.52 nil=sk3|~sQ7_spl),
% 0.18/0.52 inference(component_clause,[status(thm)],[f465])).
% 0.18/0.52 fof(f468,plain,(
% 0.18/0.52 sQ7_spl|sQ5_spl),
% 0.18/0.52 inference(split_clause,[status(thm)],[f438,f465,f457])).
% 0.18/0.52 fof(f469,plain,(
% 0.18/0.52 sQ7_spl|sQ6_spl),
% 0.18/0.52 inference(split_clause,[status(thm)],[f439,f465,f461])).
% 0.18/0.52 fof(f503,plain,(
% 0.18/0.52 ~sk4=sk2|~sQ4_spl|sQ2_spl),
% 0.18/0.52 inference(forward_demodulation,[status(thm)],[f455,f449])).
% 0.18/0.52 fof(f504,plain,(
% 0.18/0.52 ~sk4=sk4|~sQ4_spl|sQ2_spl),
% 0.18/0.52 inference(forward_demodulation,[status(thm)],[f432,f503])).
% 0.18/0.52 fof(f505,plain,(
% 0.18/0.52 $false|~sQ4_spl|sQ2_spl),
% 0.18/0.52 inference(trivial_equality_resolution,[status(thm)],[f504])).
% 0.18/0.52 fof(f506,plain,(
% 0.18/0.52 ~sQ4_spl|sQ2_spl),
% 0.18/0.52 inference(contradiction_clause,[status(thm)],[f505])).
% 0.18/0.52 fof(f507,plain,(
% 0.18/0.52 ~nil=sk3|sQ3_spl),
% 0.18/0.52 inference(forward_demodulation,[status(thm)],[f433,f452])).
% 0.18/0.52 fof(f510,plain,(
% 0.18/0.52 frontsegP(sk3,sk3)),
% 0.18/0.52 inference(resolution,[status(thm)],[f258,f430])).
% 0.18/0.52 fof(f522,plain,(
% 0.18/0.52 ![X0]: (~ssList(X0)|~neq(X0,nil)|~frontsegP(sk4,X0)|~frontsegP(sk1,X0))),
% 0.18/0.52 inference(forward_demodulation,[status(thm)],[f432,f434])).
% 0.18/0.52 fof(f523,plain,(
% 0.18/0.52 ![X0]: (~ssList(X0)|~neq(X0,nil)|~frontsegP(sk4,X0)|~frontsegP(sk3,X0))),
% 0.18/0.52 inference(forward_demodulation,[status(thm)],[f433,f522])).
% 0.18/0.52 fof(f528,plain,(
% 0.18/0.52 ~ssList(sk3)|~neq(sk3,nil)|~frontsegP(sk4,sk3)),
% 0.18/0.52 inference(resolution,[status(thm)],[f523,f510])).
% 0.18/0.52 fof(f549,definition,(
% 0.18/0.52 sQ14_spl <=> (ssList(sk3))),
% 0.18/0.52 introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition])).
% 0.18/0.52 fof(f551,plain,(
% 0.18/0.52 ~ssList(sk3)|sQ14_spl),
% 0.18/0.52 inference(component_clause,[status(thm)],[f549])).
% 0.18/0.52 fof(f560,plain,(
% 0.18/0.52 ~sQ14_spl|~sQ5_spl|~sQ6_spl),
% 0.18/0.52 inference(split_clause,[status(thm)],[f528,f549,f457,f461])).
% 0.18/0.52 fof(f561,plain,(
% 0.18/0.52 $false|sQ3_spl|~sQ7_spl),
% 0.18/0.52 inference(forward_subsumption_resolution,[status(thm)],[f466,f507])).
% 0.18/0.52 fof(f562,plain,(
% 0.18/0.52 sQ3_spl|~sQ7_spl),
% 0.18/0.52 inference(contradiction_clause,[status(thm)],[f561])).
% 0.18/0.52 fof(f563,plain,(
% 0.18/0.52 $false|sQ14_spl),
% 0.18/0.52 inference(forward_subsumption_resolution,[status(thm)],[f551,f430])).
% 0.18/0.52 fof(f564,plain,(
% 0.18/0.52 sQ14_spl),
% 0.18/0.52 inference(contradiction_clause,[status(thm)],[f563])).
% 0.18/0.52 fof(f565,plain,(
% 0.18/0.52 $false),
% 0.18/0.52 inference(sat_refutation,[status(thm)],[f453,f460,f464,f468,f469,f506,f560,f562,f564])).
% 0.18/0.52 % SZS output end CNFRefutation for theBenchmark.p
% 0.18/0.57 % Elapsed time: 0.099256 seconds
% 0.18/0.57 % CPU time: 0.115722 seconds
% 0.18/0.57 % Total memory used: 3.441 MB
% 0.18/0.57 % Net memory used: 3.438 MB
%------------------------------------------------------------------------------