%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SWC019-1 : 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 02:41:21 PM UTC 2026
% Result : Unsatisfiable 0.13s 0.40s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWC019-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n013.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Mon Sep 21 07:49:07 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.13/0.38 % Drodi V4.1.1
% 0.13/0.40 % Refutation found
% 0.13/0.40 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.13/0.40 % SZS output start CNFRefutation for theBenchmark
% 0.13/0.40 fof(f8,axiom,(
% 0.13/0.40 ssList(nil) ),
% 0.13/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.40 fof(f61,axiom,(
% 0.13/0.40 (![U]: (( ~ ssList(U)| frontsegP(U,U) ) ))),
% 0.13/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.40 fof(f100,axiom,(
% 0.13/0.40 (![U,V]: (( ~ ssList(U)| ~ ssList(V)| neq(V,U)| V = U ) ))),
% 0.13/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.40 fof(f189,negated_conjecture,(
% 0.13/0.40 ssList(sk4) ),
% 0.13/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.40 fof(f190,negated_conjecture,(
% 0.13/0.40 sk2 = sk4 ),
% 0.13/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.40 fof(f191,negated_conjecture,(
% 0.13/0.40 sk1 = sk3 ),
% 0.13/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.40 fof(f192,negated_conjecture,(
% 0.13/0.40 sk4 = sk3 ),
% 0.13/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.40 fof(f193,negated_conjecture,(
% 0.13/0.40 (![A]: (( ~ ssList(A)| ~ neq(A,nil)| ~ frontsegP(sk2,A)| ~ frontsegP(sk1,A) ) ))),
% 0.13/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.40 fof(f194,negated_conjecture,(
% 0.13/0.40 ( nil != sk2| nil != sk1 ) ),
% 0.13/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.40 fof(f202,plain,(
% 0.13/0.40 ssList(nil)),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f8])).
% 0.13/0.40 fof(f255,plain,(
% 0.13/0.40 ![X0]: (~ssList(X0)|frontsegP(X0,X0))),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f61])).
% 0.13/0.40 fof(f297,plain,(
% 0.13/0.40 ![X0,X1]: (~ssList(X0)|~ssList(X1)|neq(X1,X0)|X1=X0)),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f100])).
% 0.13/0.40 fof(f428,plain,(
% 0.13/0.40 ssList(sk4)),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f189])).
% 0.13/0.40 fof(f429,plain,(
% 0.13/0.40 sk2=sk4),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f190])).
% 0.13/0.40 fof(f430,plain,(
% 0.13/0.40 sk1=sk3),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f191])).
% 0.13/0.40 fof(f431,plain,(
% 0.13/0.40 sk4=sk3),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f192])).
% 0.13/0.40 fof(f432,plain,(
% 0.13/0.40 ![X0]: (~ssList(X0)|~neq(X0,nil)|~frontsegP(sk2,X0)|~frontsegP(sk1,X0))),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f193])).
% 0.13/0.40 fof(f433,plain,(
% 0.13/0.40 ~nil=sk2|~nil=sk1),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f194])).
% 0.13/0.40 fof(f441,definition,(
% 0.13/0.40 sQ2_spl <=> (nil=sk2)),
% 0.13/0.40 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 0.13/0.40 fof(f443,plain,(
% 0.13/0.40 ~nil=sk2|sQ2_spl),
% 0.13/0.40 inference(component_clause,[status(thm)],[f441])).
% 0.13/0.40 fof(f444,definition,(
% 0.13/0.40 sQ3_spl <=> (nil=sk1)),
% 0.13/0.40 introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition])).
% 0.13/0.40 fof(f446,plain,(
% 0.13/0.40 ~nil=sk1|sQ3_spl),
% 0.13/0.40 inference(component_clause,[status(thm)],[f444])).
% 0.13/0.40 fof(f447,plain,(
% 0.13/0.40 ~sQ2_spl|~sQ3_spl),
% 0.13/0.40 inference(split_clause,[status(thm)],[f433,f441,f444])).
% 0.13/0.40 fof(f479,plain,(
% 0.13/0.40 sk1=sk4),
% 0.13/0.40 inference(backward_demodulation,[status(thm)],[f431,f430])).
% 0.13/0.40 fof(f481,plain,(
% 0.13/0.40 ~nil=sk4|sQ2_spl),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f429,f443])).
% 0.13/0.40 fof(f483,plain,(
% 0.13/0.40 frontsegP(sk4,sk4)),
% 0.13/0.40 inference(resolution,[status(thm)],[f255,f428])).
% 0.13/0.40 fof(f504,plain,(
% 0.13/0.40 ![X0]: (~ssList(X0)|~neq(X0,nil)|~frontsegP(sk4,X0)|~frontsegP(sk1,X0))),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f429,f432])).
% 0.13/0.40 fof(f505,plain,(
% 0.13/0.40 ![X0]: (~ssList(X0)|~neq(X0,nil)|~frontsegP(sk4,X0)|~frontsegP(sk4,X0))),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f479,f504])).
% 0.13/0.40 fof(f506,plain,(
% 0.13/0.40 ![X0]: (~ssList(X0)|~neq(X0,nil)|~frontsegP(sk4,X0))),
% 0.13/0.40 inference(duplicate_literals_removal,[status(thm)],[f505])).
% 0.13/0.40 fof(f508,plain,(
% 0.13/0.40 ~ssList(sk4)|~neq(sk4,nil)),
% 0.13/0.40 inference(resolution,[status(thm)],[f506,f483])).
% 0.13/0.40 fof(f513,definition,(
% 0.13/0.40 sQ7_spl <=> (ssList(sk4))),
% 0.13/0.40 introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition])).
% 0.13/0.40 fof(f515,plain,(
% 0.13/0.40 ~ssList(sk4)|sQ7_spl),
% 0.13/0.40 inference(component_clause,[status(thm)],[f513])).
% 0.13/0.40 fof(f516,definition,(
% 0.13/0.40 sQ8_spl <=> (neq(sk4,nil))),
% 0.13/0.40 introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition])).
% 0.13/0.40 fof(f519,plain,(
% 0.13/0.40 ~sQ7_spl|~sQ8_spl),
% 0.13/0.40 inference(split_clause,[status(thm)],[f508,f513,f516])).
% 0.13/0.40 fof(f520,plain,(
% 0.13/0.40 $false|sQ7_spl),
% 0.13/0.40 inference(forward_subsumption_resolution,[status(thm)],[f515,f428])).
% 0.13/0.42 fof(f521,plain,(
% 0.13/0.42 sQ7_spl),
% 0.13/0.42 inference(contradiction_clause,[status(thm)],[f520])).
% 0.13/0.42 fof(f526,plain,(
% 0.13/0.42 ![X0]: (~ssList(X0)|neq(X0,nil)|X0=nil)),
% 0.13/0.42 inference(resolution,[status(thm)],[f297,f202])).
% 0.13/0.42 fof(f533,plain,(
% 0.13/0.42 neq(sk4,nil)|sk4=nil),
% 0.13/0.42 inference(resolution,[status(thm)],[f526,f428])).
% 0.13/0.42 fof(f535,definition,(
% 0.13/0.42 sQ9_spl <=> (sk4=nil)),
% 0.13/0.42 introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition])).
% 0.13/0.42 fof(f536,plain,(
% 0.13/0.42 sk4=nil|~sQ9_spl),
% 0.13/0.42 inference(component_clause,[status(thm)],[f535])).
% 0.13/0.42 fof(f538,plain,(
% 0.13/0.42 sQ8_spl|sQ9_spl),
% 0.13/0.42 inference(split_clause,[status(thm)],[f533,f516,f535])).
% 0.13/0.42 fof(f539,plain,(
% 0.13/0.42 $false|sQ2_spl|~sQ9_spl),
% 0.13/0.42 inference(forward_subsumption_resolution,[status(thm)],[f536,f481])).
% 0.13/0.42 fof(f540,plain,(
% 0.13/0.42 sQ2_spl|~sQ9_spl),
% 0.13/0.42 inference(contradiction_clause,[status(thm)],[f539])).
% 0.13/0.42 fof(f541,plain,(
% 0.13/0.42 ~nil=sk4|sQ3_spl),
% 0.13/0.42 inference(forward_demodulation,[status(thm)],[f479,f446])).
% 0.13/0.42 fof(f579,definition,(
% 0.13/0.42 sQ15_spl <=> (frontsegP(sk4,sk4))),
% 0.13/0.42 introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition])).
% 0.13/0.42 fof(f581,plain,(
% 0.13/0.42 ~frontsegP(sk4,sk4)|sQ15_spl),
% 0.13/0.42 inference(component_clause,[status(thm)],[f579])).
% 0.13/0.42 fof(f590,plain,(
% 0.13/0.42 $false|sQ15_spl),
% 0.13/0.42 inference(forward_subsumption_resolution,[status(thm)],[f581,f483])).
% 0.13/0.42 fof(f591,plain,(
% 0.13/0.42 sQ15_spl),
% 0.13/0.42 inference(contradiction_clause,[status(thm)],[f590])).
% 0.13/0.42 fof(f592,plain,(
% 0.13/0.42 $false|sQ3_spl|~sQ9_spl),
% 0.13/0.42 inference(forward_subsumption_resolution,[status(thm)],[f536,f541])).
% 0.13/0.42 fof(f593,plain,(
% 0.13/0.42 sQ3_spl|~sQ9_spl),
% 0.13/0.42 inference(contradiction_clause,[status(thm)],[f592])).
% 0.13/0.42 fof(f594,plain,(
% 0.13/0.42 $false),
% 0.13/0.42 inference(sat_refutation,[status(thm)],[f447,f519,f521,f538,f540,f591,f593])).
% 0.13/0.42 % SZS output end CNFRefutation for theBenchmark.p
% 0.13/0.44 % Elapsed time: 0.062195 seconds
% 0.13/0.44 % CPU time: 0.170747 seconds
% 0.13/0.44 % Total memory used: 108.758 MB
% 0.13/0.44 % Net memory used: 108.600 MB
%------------------------------------------------------------------------------