%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SWC028-1 : 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 02:41:22 PM UTC 2026
% Result : Unsatisfiable 0.10s 0.41s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWC028-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.37 % Computer : n004.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Mon Sep 21 07:49:51 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.39 % Drodi V4.1.1
% 0.10/0.41 % Refutation found
% 0.10/0.41 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.10/0.41 % SZS output start CNFRefutation for theBenchmark
% 0.10/0.41 fof(f82,axiom,(
% 0.10/0.41 (![U]: (( ~ rearsegP(nil,U)| ~ ssList(U)| nil = U ) ))),
% 0.10/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.41 fof(f115,axiom,(
% 0.10/0.41 (![U,V]: (( U != V| ~ neq(U,V)| ~ ssList(V)| ~ ssList(U) ) ))),
% 0.10/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.41 fof(f188,negated_conjecture,(
% 0.10/0.41 ssList(sk3) ),
% 0.10/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.41 fof(f189,negated_conjecture,(
% 0.10/0.41 ssList(sk4) ),
% 0.10/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.41 fof(f190,negated_conjecture,(
% 0.10/0.41 sk2 = sk4 ),
% 0.10/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.41 fof(f191,negated_conjecture,(
% 0.10/0.41 sk1 = sk3 ),
% 0.10/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.41 fof(f192,negated_conjecture,(
% 0.10/0.41 ( nil = sk2| nil = sk1 ) ),
% 0.10/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.41 fof(f195,negated_conjecture,(
% 0.10/0.41 ( nil != sk1| nil != sk2 ) ),
% 0.10/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.41 fof(f196,negated_conjecture,(
% 0.10/0.41 ( nil = sk4| neq(sk3,nil) ) ),
% 0.10/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.41 fof(f197,negated_conjecture,(
% 0.10/0.41 ( nil = sk4| rearsegP(sk4,sk3) ) ),
% 0.10/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.41 fof(f198,negated_conjecture,(
% 0.10/0.41 ( nil = sk3| neq(sk3,nil) ) ),
% 0.10/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.41 fof(f199,negated_conjecture,(
% 0.10/0.41 ( nil = sk3| rearsegP(sk4,sk3) ) ),
% 0.10/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.41 fof(f282,plain,(
% 0.10/0.41 ![X0]: (~rearsegP(nil,X0)|~ssList(X0)|nil=X0)),
% 0.10/0.41 inference(cnf_transformation,[status(thm)],[f82])).
% 0.10/0.41 fof(f320,plain,(
% 0.10/0.41 ![U]: ((![V]: ((~U=V|~neq(U,V))|~ssList(V)))|~ssList(U))),
% 0.10/0.41 inference(miniscoping,[status(thm)],[f115])).
% 0.10/0.41 fof(f321,plain,(
% 0.10/0.41 ![X0,X1]: (~X0=X1|~neq(X0,X1)|~ssList(X1)|~ssList(X0))),
% 0.10/0.41 inference(cnf_transformation,[status(thm)],[f320])).
% 0.10/0.41 fof(f432,plain,(
% 0.10/0.41 ssList(sk3)),
% 0.10/0.41 inference(cnf_transformation,[status(thm)],[f188])).
% 0.10/0.41 fof(f433,plain,(
% 0.10/0.41 ssList(sk4)),
% 0.10/0.41 inference(cnf_transformation,[status(thm)],[f189])).
% 0.10/0.41 fof(f434,plain,(
% 0.10/0.41 sk2=sk4),
% 0.10/0.41 inference(cnf_transformation,[status(thm)],[f190])).
% 0.10/0.41 fof(f435,plain,(
% 0.10/0.41 sk1=sk3),
% 0.10/0.41 inference(cnf_transformation,[status(thm)],[f191])).
% 0.10/0.41 fof(f436,plain,(
% 0.10/0.41 nil=sk2|nil=sk1),
% 0.10/0.41 inference(cnf_transformation,[status(thm)],[f192])).
% 0.10/0.41 fof(f439,plain,(
% 0.10/0.41 ~nil=sk1|~nil=sk2),
% 0.10/0.41 inference(cnf_transformation,[status(thm)],[f195])).
% 0.10/0.41 fof(f440,plain,(
% 0.10/0.41 nil=sk4|neq(sk3,nil)),
% 0.10/0.41 inference(cnf_transformation,[status(thm)],[f196])).
% 0.10/0.41 fof(f441,plain,(
% 0.10/0.41 nil=sk4|rearsegP(sk4,sk3)),
% 0.10/0.41 inference(cnf_transformation,[status(thm)],[f197])).
% 0.10/0.41 fof(f442,plain,(
% 0.10/0.41 nil=sk3|neq(sk3,nil)),
% 0.10/0.41 inference(cnf_transformation,[status(thm)],[f198])).
% 0.10/0.41 fof(f443,plain,(
% 0.10/0.41 nil=sk3|rearsegP(sk4,sk3)),
% 0.10/0.41 inference(cnf_transformation,[status(thm)],[f199])).
% 0.10/0.41 fof(f451,definition,(
% 0.10/0.41 sQ2_spl <=> (nil=sk2)),
% 0.10/0.41 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 0.10/0.41 fof(f452,plain,(
% 0.10/0.41 nil=sk2|~sQ2_spl),
% 0.10/0.41 inference(component_clause,[status(thm)],[f451])).
% 0.10/0.41 fof(f453,plain,(
% 0.10/0.41 ~nil=sk2|sQ2_spl),
% 0.10/0.41 inference(component_clause,[status(thm)],[f451])).
% 0.10/0.41 fof(f454,definition,(
% 0.10/0.41 sQ3_spl <=> (nil=sk1)),
% 0.10/0.41 introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition])).
% 0.10/0.41 fof(f455,plain,(
% 0.10/0.41 nil=sk1|~sQ3_spl),
% 0.10/0.41 inference(component_clause,[status(thm)],[f454])).
% 0.10/0.41 fof(f456,plain,(
% 0.10/0.41 ~nil=sk1|sQ3_spl),
% 0.10/0.41 inference(component_clause,[status(thm)],[f454])).
% 0.10/0.41 fof(f457,plain,(
% 0.10/0.41 sQ2_spl|sQ3_spl),
% 0.10/0.41 inference(split_clause,[status(thm)],[f436,f451,f454])).
% 0.10/0.41 fof(f460,plain,(
% 0.10/0.41 ~sQ3_spl|~sQ2_spl),
% 0.10/0.41 inference(split_clause,[status(thm)],[f439,f454,f451])).
% 0.10/0.41 fof(f461,definition,(
% 0.10/0.41 sQ4_spl <=> (nil=sk4)),
% 0.10/0.41 introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition])).
% 0.10/0.41 fof(f462,plain,(
% 0.10/0.41 nil=sk4|~sQ4_spl),
% 0.10/0.41 inference(component_clause,[status(thm)],[f461])).
% 0.10/0.41 fof(f464,definition,(
% 0.10/0.41 sQ5_spl <=> (neq(sk3,nil))),
% 0.10/0.41 introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition])).
% 0.10/0.41 fof(f465,plain,(
% 0.10/0.41 neq(sk3,nil)|~sQ5_spl),
% 0.10/0.41 inference(component_clause,[status(thm)],[f464])).
% 0.10/0.41 fof(f467,plain,(
% 0.10/0.41 sQ4_spl|sQ5_spl),
% 0.10/0.41 inference(split_clause,[status(thm)],[f440,f461,f464])).
% 0.10/0.41 fof(f468,definition,(
% 0.10/0.41 sQ6_spl <=> (rearsegP(sk4,sk3))),
% 0.10/0.41 introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition])).
% 0.10/0.41 fof(f469,plain,(
% 0.10/0.41 rearsegP(sk4,sk3)|~sQ6_spl),
% 0.10/0.41 inference(component_clause,[status(thm)],[f468])).
% 0.10/0.41 fof(f471,plain,(
% 0.10/0.41 sQ4_spl|sQ6_spl),
% 0.10/0.41 inference(split_clause,[status(thm)],[f441,f461,f468])).
% 0.10/0.41 fof(f472,definition,(
% 0.10/0.41 sQ7_spl <=> (nil=sk3)),
% 0.10/0.41 introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition])).
% 0.10/0.41 fof(f473,plain,(
% 0.10/0.41 nil=sk3|~sQ7_spl),
% 0.10/0.41 inference(component_clause,[status(thm)],[f472])).
% 0.10/0.41 fof(f475,plain,(
% 0.10/0.41 sQ7_spl|sQ5_spl),
% 0.10/0.41 inference(split_clause,[status(thm)],[f442,f472,f464])).
% 0.10/0.41 fof(f476,plain,(
% 0.10/0.41 sQ7_spl|sQ6_spl),
% 0.10/0.41 inference(split_clause,[status(thm)],[f443,f472,f468])).
% 0.10/0.41 fof(f484,plain,(
% 0.10/0.41 ![X1]: (~neq(X1,X1)|~ssList(X1)|~ssList(X1))),
% 0.10/0.41 inference(destructive_equality_resolution,[status(thm)],[f321])).
% 0.10/0.41 fof(f485,plain,(
% 0.10/0.41 ![X0]: (~neq(X0,X0)|~ssList(X0))),
% 0.10/0.41 inference(duplicate_literals_removal,[status(thm)],[f484])).
% 0.10/0.41 fof(f509,plain,(
% 0.10/0.41 sk4=sk3|~sQ4_spl|~sQ7_spl),
% 0.10/0.41 inference(backward_demodulation,[status(thm)],[f462,f473])).
% 0.10/0.41 fof(f510,plain,(
% 0.10/0.41 ~sk4=sk1|~sQ4_spl|sQ3_spl),
% 0.10/0.41 inference(forward_demodulation,[status(thm)],[f462,f456])).
% 0.10/0.41 fof(f511,plain,(
% 0.10/0.41 ~sk4=sk3|~sQ4_spl|sQ3_spl),
% 0.10/0.41 inference(forward_demodulation,[status(thm)],[f435,f510])).
% 0.10/0.41 fof(f513,plain,(
% 0.10/0.41 $false|sQ3_spl|~sQ4_spl|~sQ7_spl),
% 0.10/0.41 inference(forward_subsumption_resolution,[status(thm)],[f509,f511])).
% 0.10/0.41 fof(f514,plain,(
% 0.10/0.41 sQ3_spl|~sQ4_spl|~sQ7_spl),
% 0.10/0.41 inference(contradiction_clause,[status(thm)],[f513])).
% 0.10/0.41 fof(f515,plain,(
% 0.10/0.41 nil=sk3|~sQ3_spl),
% 0.10/0.41 inference(forward_demodulation,[status(thm)],[f435,f455])).
% 0.10/0.41 fof(f516,plain,(
% 0.10/0.41 ~nil=sk4|sQ2_spl),
% 0.10/0.41 inference(forward_demodulation,[status(thm)],[f434,f453])).
% 0.10/0.41 fof(f518,plain,(
% 0.10/0.41 ~sk3=sk4|~sQ3_spl|sQ2_spl),
% 0.10/0.41 inference(forward_demodulation,[status(thm)],[f515,f516])).
% 0.10/0.41 fof(f519,plain,(
% 0.10/0.41 neq(sk3,sk3)|~sQ3_spl|~sQ5_spl),
% 0.10/0.41 inference(forward_demodulation,[status(thm)],[f515,f465])).
% 0.10/0.41 fof(f541,plain,(
% 0.10/0.41 ~ssList(sk3)|~sQ3_spl|~sQ5_spl),
% 0.10/0.41 inference(resolution,[status(thm)],[f485,f519])).
% 0.10/0.41 fof(f542,plain,(
% 0.10/0.41 $false|~sQ3_spl|~sQ5_spl),
% 0.10/0.41 inference(forward_subsumption_resolution,[status(thm)],[f541,f432])).
% 0.10/0.41 fof(f543,plain,(
% 0.10/0.41 ~sQ3_spl|~sQ5_spl),
% 0.10/0.41 inference(contradiction_clause,[status(thm)],[f542])).
% 0.10/0.41 fof(f545,plain,(
% 0.10/0.41 $false|~sQ3_spl|sQ2_spl|~sQ4_spl|~sQ7_spl),
% 0.10/0.41 inference(forward_subsumption_resolution,[status(thm)],[f509,f518])).
% 0.10/0.41 fof(f546,plain,(
% 0.10/0.41 ~sQ3_spl|sQ2_spl|~sQ4_spl|~sQ7_spl),
% 0.10/0.41 inference(contradiction_clause,[status(thm)],[f545])).
% 0.10/0.41 fof(f547,plain,(
% 0.10/0.41 ~nil=sk3|sQ3_spl),
% 0.10/0.41 inference(forward_demodulation,[status(thm)],[f435,f456])).
% 0.10/0.41 fof(f548,plain,(
% 0.10/0.41 nil=sk4|~sQ2_spl),
% 0.10/0.41 inference(forward_demodulation,[status(thm)],[f434,f452])).
% 0.10/0.41 fof(f550,plain,(
% 0.10/0.41 ~sk4=sk3|~sQ2_spl|sQ3_spl),
% 0.10/0.41 inference(backward_demodulation,[status(thm)],[f548,f547])).
% 0.10/0.41 fof(f559,plain,(
% 0.10/0.41 ![X0]: (~rearsegP(sk4,X0)|~ssList(X0)|nil=X0|~sQ2_spl)),
% 0.10/0.41 inference(forward_demodulation,[status(thm)],[f548,f282])).
% 0.10/0.41 fof(f560,plain,(
% 0.10/0.41 ![X0]: (~rearsegP(sk4,X0)|~ssList(X0)|sk4=X0|~sQ2_spl)),
% 0.10/0.41 inference(forward_demodulation,[status(thm)],[f548,f559])).
% 0.10/0.41 fof(f561,plain,(
% 0.10/0.41 ~ssList(sk3)|sk4=sk3|~sQ2_spl|~sQ6_spl),
% 0.10/0.41 inference(resolution,[status(thm)],[f560,f469])).
% 0.10/0.41 fof(f563,definition,(
% 0.10/0.41 sQ8_spl <=> (ssList(sk3))),
% 0.10/0.41 introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition])).
% 0.10/0.41 fof(f565,plain,(
% 0.10/0.41 ~ssList(sk3)|sQ8_spl),
% 0.10/0.41 inference(component_clause,[status(thm)],[f563])).
% 0.10/0.41 fof(f566,definition,(
% 0.10/0.41 sQ9_spl <=> (sk4=sk3)),
% 0.10/0.41 introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition])).
% 0.10/0.41 fof(f567,plain,(
% 0.10/0.41 sk4=sk3|~sQ9_spl),
% 0.10/0.41 inference(component_clause,[status(thm)],[f566])).
% 0.10/0.41 fof(f569,plain,(
% 0.10/0.41 ~sQ8_spl|sQ9_spl|~sQ2_spl|~sQ6_spl),
% 0.10/0.41 inference(split_clause,[status(thm)],[f561,f563,f566,f451,f468])).
% 0.10/0.41 fof(f570,definition,(
% 0.10/0.41 sQ10_spl <=> (ssList(sk4))),
% 0.10/0.41 introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition])).
% 0.10/0.41 fof(f572,plain,(
% 0.10/0.41 ~ssList(sk4)|sQ10_spl),
% 0.10/0.41 inference(component_clause,[status(thm)],[f570])).
% 0.10/0.41 fof(f577,plain,(
% 0.10/0.41 $false|sQ8_spl),
% 0.10/0.41 inference(forward_subsumption_resolution,[status(thm)],[f565,f432])).
% 0.10/0.41 fof(f578,plain,(
% 0.10/0.41 sQ8_spl),
% 0.10/0.41 inference(contradiction_clause,[status(thm)],[f577])).
% 0.10/0.41 fof(f579,plain,(
% 0.10/0.41 $false|sQ10_spl),
% 0.10/0.41 inference(forward_subsumption_resolution,[status(thm)],[f572,f433])).
% 0.10/0.41 fof(f580,plain,(
% 0.10/0.41 sQ10_spl),
% 0.10/0.41 inference(contradiction_clause,[status(thm)],[f579])).
% 0.10/0.41 fof(f581,plain,(
% 0.10/0.41 $false|~sQ2_spl|sQ3_spl|~sQ9_spl),
% 0.10/0.41 inference(forward_subsumption_resolution,[status(thm)],[f567,f550])).
% 0.10/0.41 fof(f582,plain,(
% 0.10/0.41 ~sQ2_spl|sQ3_spl|~sQ9_spl),
% 0.10/0.41 inference(contradiction_clause,[status(thm)],[f581])).
% 0.10/0.41 fof(f583,plain,(
% 0.10/0.41 $false),
% 0.10/0.41 inference(sat_refutation,[status(thm)],[f457,f460,f467,f471,f475,f476,f514,f543,f546,f569,f578,f580,f582])).
% 0.10/0.41 % SZS output end CNFRefutation for theBenchmark.p
% 0.10/0.44 % Elapsed time: 0.061899 seconds
% 0.10/0.44 % CPU time: 0.164598 seconds
% 0.10/0.44 % Total memory used: 108.536 MB
% 0.10/0.44 % Net memory used: 108.405 MB
%------------------------------------------------------------------------------