%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SWC037-1 : 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 : n026.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 02:41:24 PM UTC 2026
% Result : Unsatisfiable 0.10s 0.40s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWC037-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.36 % Computer : n026.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Mon Sep 21 07:53:08 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.38 % Drodi V4.1.1
% 0.10/0.40 % Refutation found
% 0.10/0.40 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.10/0.40 % SZS output start CNFRefutation for theBenchmark
% 0.10/0.40 fof(f80,axiom,(
% 0.10/0.40 (![U]: (( ~ segmentP(nil,U)| ~ ssList(U)| nil = U ) ))),
% 0.10/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.40 fof(f115,axiom,(
% 0.10/0.40 (![U,V]: (( U != V| ~ neq(U,V)| ~ ssList(V)| ~ ssList(U) ) ))),
% 0.10/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.40 fof(f189,negated_conjecture,(
% 0.10/0.40 ssList(sk4) ),
% 0.10/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.40 fof(f190,negated_conjecture,(
% 0.10/0.40 nil = sk2 ),
% 0.10/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.40 fof(f191,negated_conjecture,(
% 0.10/0.40 sk2 = sk4 ),
% 0.10/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.40 fof(f192,negated_conjecture,(
% 0.10/0.40 sk1 = sk3 ),
% 0.10/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.40 fof(f193,negated_conjecture,(
% 0.10/0.40 nil != sk1 ),
% 0.10/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.40 fof(f195,negated_conjecture,(
% 0.10/0.40 ( ssList(sk5)| nil = sk3 ) ),
% 0.10/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.40 fof(f199,negated_conjecture,(
% 0.10/0.40 ( neq(sk5,nil)| nil = sk3 ) ),
% 0.10/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.40 fof(f200,negated_conjecture,(
% 0.10/0.40 ( segmentP(sk4,sk5)| nil = sk3 ) ),
% 0.10/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.40 fof(f282,plain,(
% 0.10/0.40 ![X0]: (~segmentP(nil,X0)|~ssList(X0)|nil=X0)),
% 0.10/0.40 inference(cnf_transformation,[status(thm)],[f80])).
% 0.10/0.40 fof(f322,plain,(
% 0.10/0.40 ![U]: ((![V]: ((~U=V|~neq(U,V))|~ssList(V)))|~ssList(U))),
% 0.10/0.40 inference(miniscoping,[status(thm)],[f115])).
% 0.10/0.40 fof(f323,plain,(
% 0.10/0.40 ![X0,X1]: (~X0=X1|~neq(X0,X1)|~ssList(X1)|~ssList(X0))),
% 0.10/0.40 inference(cnf_transformation,[status(thm)],[f322])).
% 0.10/0.40 fof(f435,plain,(
% 0.10/0.40 ssList(sk4)),
% 0.10/0.40 inference(cnf_transformation,[status(thm)],[f189])).
% 0.10/0.40 fof(f436,plain,(
% 0.10/0.40 nil=sk2),
% 0.10/0.40 inference(cnf_transformation,[status(thm)],[f190])).
% 0.10/0.40 fof(f437,plain,(
% 0.10/0.40 sk2=sk4),
% 0.10/0.40 inference(cnf_transformation,[status(thm)],[f191])).
% 0.10/0.40 fof(f438,plain,(
% 0.10/0.40 sk1=sk3),
% 0.10/0.40 inference(cnf_transformation,[status(thm)],[f192])).
% 0.10/0.40 fof(f439,plain,(
% 0.10/0.40 ~nil=sk1),
% 0.10/0.40 inference(cnf_transformation,[status(thm)],[f193])).
% 0.10/0.40 fof(f441,plain,(
% 0.10/0.40 ssList(sk5)|nil=sk3),
% 0.10/0.40 inference(cnf_transformation,[status(thm)],[f195])).
% 0.10/0.40 fof(f445,plain,(
% 0.10/0.40 neq(sk5,nil)|nil=sk3),
% 0.10/0.40 inference(cnf_transformation,[status(thm)],[f199])).
% 0.10/0.40 fof(f446,plain,(
% 0.10/0.40 segmentP(sk4,sk5)|nil=sk3),
% 0.10/0.40 inference(cnf_transformation,[status(thm)],[f200])).
% 0.10/0.40 fof(f455,definition,(
% 0.10/0.40 sQ2_spl <=> (ssList(sk5))),
% 0.10/0.40 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 0.10/0.40 fof(f456,plain,(
% 0.10/0.40 ssList(sk5)|~sQ2_spl),
% 0.10/0.40 inference(component_clause,[status(thm)],[f455])).
% 0.10/0.40 fof(f462,definition,(
% 0.10/0.40 sQ4_spl <=> (nil=sk3)),
% 0.10/0.40 introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition])).
% 0.10/0.40 fof(f463,plain,(
% 0.10/0.40 nil=sk3|~sQ4_spl),
% 0.10/0.40 inference(component_clause,[status(thm)],[f462])).
% 0.10/0.40 fof(f465,plain,(
% 0.10/0.40 sQ2_spl|sQ4_spl),
% 0.10/0.40 inference(split_clause,[status(thm)],[f441,f455,f462])).
% 0.10/0.40 fof(f466,definition,(
% 0.10/0.40 sQ5_spl <=> (neq(sk5,nil))),
% 0.10/0.40 introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition])).
% 0.10/0.40 fof(f467,plain,(
% 0.10/0.40 neq(sk5,nil)|~sQ5_spl),
% 0.10/0.40 inference(component_clause,[status(thm)],[f466])).
% 0.10/0.40 fof(f470,definition,(
% 0.10/0.40 sQ6_spl <=> (segmentP(sk4,sk5))),
% 0.10/0.40 introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition])).
% 0.10/0.40 fof(f471,plain,(
% 0.10/0.40 segmentP(sk4,sk5)|~sQ6_spl),
% 0.10/0.40 inference(component_clause,[status(thm)],[f470])).
% 0.10/0.40 fof(f478,plain,(
% 0.10/0.40 sQ5_spl|sQ4_spl),
% 0.10/0.40 inference(split_clause,[status(thm)],[f445,f466,f462])).
% 0.10/0.40 fof(f479,plain,(
% 0.10/0.40 sQ6_spl|sQ4_spl),
% 0.10/0.40 inference(split_clause,[status(thm)],[f446,f470,f462])).
% 0.10/0.40 fof(f488,plain,(
% 0.10/0.40 ![X1]: (~neq(X1,X1)|~ssList(X1)|~ssList(X1))),
% 0.10/0.40 inference(destructive_equality_resolution,[status(thm)],[f323])).
% 0.10/0.40 fof(f489,plain,(
% 0.10/0.40 ![X0]: (~neq(X0,X0)|~ssList(X0))),
% 0.10/0.40 inference(duplicate_literals_removal,[status(thm)],[f488])).
% 0.10/0.40 fof(f510,plain,(
% 0.10/0.40 nil=sk4),
% 0.10/0.40 inference(backward_demodulation,[status(thm)],[f437,f436])).
% 0.10/0.40 fof(f513,plain,(
% 0.10/0.40 ~nil=sk3),
% 0.10/0.40 inference(forward_demodulation,[status(thm)],[f438,f439])).
% 0.10/0.41 fof(f514,plain,(
% 0.10/0.41 $false|~sQ4_spl),
% 0.10/0.41 inference(forward_subsumption_resolution,[status(thm)],[f463,f513])).
% 0.10/0.41 fof(f515,plain,(
% 0.10/0.41 ~sQ4_spl),
% 0.10/0.41 inference(contradiction_clause,[status(thm)],[f514])).
% 0.10/0.41 fof(f518,plain,(
% 0.10/0.41 neq(sk5,sk4)|~sQ5_spl),
% 0.10/0.41 inference(forward_demodulation,[status(thm)],[f510,f467])).
% 0.10/0.41 fof(f545,plain,(
% 0.10/0.41 ![X0]: (~segmentP(sk4,X0)|~ssList(X0)|nil=X0)),
% 0.10/0.41 inference(forward_demodulation,[status(thm)],[f510,f282])).
% 0.10/0.41 fof(f546,plain,(
% 0.10/0.41 ![X0]: (~segmentP(sk4,X0)|~ssList(X0)|sk4=X0)),
% 0.10/0.41 inference(forward_demodulation,[status(thm)],[f510,f545])).
% 0.10/0.41 fof(f548,plain,(
% 0.10/0.41 ~ssList(sk5)|sk4=sk5|~sQ6_spl),
% 0.10/0.41 inference(resolution,[status(thm)],[f546,f471])).
% 0.10/0.41 fof(f549,definition,(
% 0.10/0.41 sQ8_spl <=> (ssList(sk4))),
% 0.10/0.41 introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition])).
% 0.10/0.41 fof(f551,plain,(
% 0.10/0.41 ~ssList(sk4)|sQ8_spl),
% 0.10/0.41 inference(component_clause,[status(thm)],[f549])).
% 0.10/0.41 fof(f556,definition,(
% 0.10/0.41 sQ10_spl <=> (sk4=sk5)),
% 0.10/0.41 introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition])).
% 0.10/0.41 fof(f557,plain,(
% 0.10/0.41 sk4=sk5|~sQ10_spl),
% 0.10/0.41 inference(component_clause,[status(thm)],[f556])).
% 0.10/0.41 fof(f559,plain,(
% 0.10/0.41 ~sQ2_spl|sQ10_spl|~sQ6_spl),
% 0.10/0.41 inference(split_clause,[status(thm)],[f548,f455,f556,f470])).
% 0.10/0.41 fof(f560,plain,(
% 0.10/0.41 $false|sQ8_spl),
% 0.10/0.41 inference(forward_subsumption_resolution,[status(thm)],[f551,f435])).
% 0.10/0.41 fof(f561,plain,(
% 0.10/0.41 sQ8_spl),
% 0.10/0.41 inference(contradiction_clause,[status(thm)],[f560])).
% 0.10/0.41 fof(f580,plain,(
% 0.10/0.41 neq(sk5,sk5)|~sQ10_spl|~sQ5_spl),
% 0.10/0.41 inference(backward_demodulation,[status(thm)],[f557,f518])).
% 0.10/0.41 fof(f593,plain,(
% 0.10/0.41 ~ssList(sk5)|~sQ10_spl|~sQ5_spl),
% 0.10/0.41 inference(resolution,[status(thm)],[f580,f489])).
% 0.10/0.41 fof(f594,plain,(
% 0.10/0.41 $false|~sQ2_spl|~sQ10_spl|~sQ5_spl),
% 0.10/0.41 inference(forward_subsumption_resolution,[status(thm)],[f593,f456])).
% 0.10/0.41 fof(f595,plain,(
% 0.10/0.41 ~sQ2_spl|~sQ10_spl|~sQ5_spl),
% 0.10/0.41 inference(contradiction_clause,[status(thm)],[f594])).
% 0.10/0.41 fof(f596,plain,(
% 0.10/0.41 $false),
% 0.10/0.41 inference(sat_refutation,[status(thm)],[f465,f478,f479,f515,f559,f561,f595])).
% 0.10/0.41 % SZS output end CNFRefutation for theBenchmark.p
% 0.10/0.42 % Elapsed time: 0.054289 seconds
% 0.10/0.42 % CPU time: 0.141483 seconds
% 0.10/0.42 % Total memory used: 57.896 MB
% 0.10/0.42 % Net memory used: 57.822 MB
%------------------------------------------------------------------------------