%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SWC381-1 : 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 : n008.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 02:42:19 PM UTC 2026
% Result : Unsatisfiable 0.14s 0.39s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWC381-1 : 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 : n008.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 08:20:39 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.14/0.38 % Drodi V4.1.1
% 0.14/0.39 % Refutation found
% 0.14/0.39 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.14/0.39 % SZS output start CNFRefutation for theBenchmark
% 0.14/0.39 fof(f190,negated_conjecture,(
% 0.14/0.39 sk2 = sk4 ),
% 0.14/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.39 fof(f191,negated_conjecture,(
% 0.14/0.39 sk1 = sk3 ),
% 0.14/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.39 fof(f192,negated_conjecture,(
% 0.14/0.39 ( neq(sk2,nil)| neq(sk2,nil) ) ),
% 0.14/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.39 fof(f198,negated_conjecture,(
% 0.14/0.39 (![A]: (( ~ ssItem(A)| cons(A,nil) != sk1| ~ memberP(sk2,A)| ~ neq(sk4,nil) ) ))),
% 0.14/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.39 fof(f199,negated_conjecture,(
% 0.14/0.39 ( ssItem(sk5)| ~ neq(sk4,nil) ) ),
% 0.14/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.39 fof(f200,negated_conjecture,(
% 0.14/0.39 ( cons(sk5,nil) = sk3| ~ neq(sk4,nil) ) ),
% 0.14/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.39 fof(f201,negated_conjecture,(
% 0.14/0.39 ( memberP(sk4,sk5)| ~ neq(sk4,nil) ) ),
% 0.14/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.39 fof(f436,plain,(
% 0.14/0.39 sk2=sk4),
% 0.14/0.39 inference(cnf_transformation,[status(thm)],[f190])).
% 0.14/0.39 fof(f437,plain,(
% 0.14/0.39 sk1=sk3),
% 0.14/0.39 inference(cnf_transformation,[status(thm)],[f191])).
% 0.14/0.39 fof(f438,plain,(
% 0.14/0.39 neq(sk2,nil)|neq(sk2,nil)),
% 0.14/0.39 inference(cnf_transformation,[status(thm)],[f192])).
% 0.14/0.39 fof(f445,plain,(
% 0.14/0.39 (![A]: ((~ssItem(A)|~cons(A,nil)=sk1)|~memberP(sk2,A)))|~neq(sk4,nil)),
% 0.14/0.39 inference(miniscoping,[status(thm)],[f198])).
% 0.14/0.39 fof(f446,plain,(
% 0.14/0.39 ![X0]: (~ssItem(X0)|~cons(X0,nil)=sk1|~memberP(sk2,X0)|~neq(sk4,nil))),
% 0.14/0.39 inference(cnf_transformation,[status(thm)],[f445])).
% 0.14/0.39 fof(f447,plain,(
% 0.14/0.39 ssItem(sk5)|~neq(sk4,nil)),
% 0.14/0.39 inference(cnf_transformation,[status(thm)],[f199])).
% 0.14/0.39 fof(f448,plain,(
% 0.14/0.39 cons(sk5,nil)=sk3|~neq(sk4,nil)),
% 0.14/0.39 inference(cnf_transformation,[status(thm)],[f200])).
% 0.14/0.39 fof(f449,plain,(
% 0.14/0.39 memberP(sk4,sk5)|~neq(sk4,nil)),
% 0.14/0.39 inference(cnf_transformation,[status(thm)],[f201])).
% 0.14/0.39 fof(f457,definition,(
% 0.14/0.39 sQ2_spl <=> (neq(sk2,nil))),
% 0.14/0.39 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 0.14/0.39 fof(f458,plain,(
% 0.14/0.39 neq(sk2,nil)|~sQ2_spl),
% 0.14/0.39 inference(component_clause,[status(thm)],[f457])).
% 0.14/0.39 fof(f460,plain,(
% 0.14/0.39 sQ2_spl),
% 0.14/0.39 inference(split_clause,[status(thm)],[f438,f457])).
% 0.14/0.39 fof(f461,definition,(
% 0.14/0.39 sQ3_spl <=> (neq(sk4,nil))),
% 0.14/0.39 introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition])).
% 0.14/0.39 fof(f463,plain,(
% 0.14/0.39 ~neq(sk4,nil)|sQ3_spl),
% 0.14/0.39 inference(component_clause,[status(thm)],[f461])).
% 0.14/0.39 fof(f465,definition,(
% 0.14/0.39 ![X0]: (sQ4_spl <=> (~ssItem(X0)|~cons(X0,nil)=sk1|~memberP(sk2,X0)))),
% 0.14/0.39 introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition])).
% 0.14/0.39 fof(f466,plain,(
% 0.14/0.39 ![X0]: (~ssItem(X0)|~cons(X0,nil)=sk1|~memberP(sk2,X0)|~sQ4_spl)),
% 0.14/0.39 inference(component_clause,[status(thm)],[f465])).
% 0.14/0.39 fof(f469,definition,(
% 0.14/0.39 sQ5_spl <=> (ssItem(sk5))),
% 0.14/0.39 introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition])).
% 0.14/0.39 fof(f473,definition,(
% 0.14/0.39 sQ6_spl <=> (cons(sk5,nil)=sk3)),
% 0.14/0.39 introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition])).
% 0.14/0.39 fof(f474,plain,(
% 0.14/0.39 cons(sk5,nil)=sk3|~sQ6_spl),
% 0.14/0.39 inference(component_clause,[status(thm)],[f473])).
% 0.14/0.39 fof(f477,definition,(
% 0.14/0.39 sQ7_spl <=> (memberP(sk4,sk5))),
% 0.14/0.39 introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition])).
% 0.14/0.39 fof(f481,plain,(
% 0.14/0.39 sQ4_spl|~sQ3_spl),
% 0.14/0.39 inference(split_clause,[status(thm)],[f446,f465,f461])).
% 0.14/0.39 fof(f482,plain,(
% 0.14/0.39 sQ5_spl|~sQ3_spl),
% 0.14/0.39 inference(split_clause,[status(thm)],[f447,f469,f461])).
% 0.14/0.39 fof(f483,plain,(
% 0.14/0.39 sQ6_spl|~sQ3_spl),
% 0.14/0.39 inference(split_clause,[status(thm)],[f448,f473,f461])).
% 0.14/0.39 fof(f484,plain,(
% 0.14/0.39 sQ7_spl|~sQ3_spl),
% 0.14/0.39 inference(split_clause,[status(thm)],[f449,f477,f461])).
% 0.14/0.39 fof(f516,plain,(
% 0.14/0.39 neq(sk4,nil)|~sQ2_spl),
% 0.14/0.39 inference(forward_demodulation,[status(thm)],[f436,f458])).
% 0.14/0.39 fof(f517,plain,(
% 0.14/0.39 $false|~sQ2_spl|sQ3_spl),
% 0.14/0.39 inference(forward_subsumption_resolution,[status(thm)],[f463,f516])).
% 0.14/0.39 fof(f518,plain,(
% 0.14/0.39 ~sQ2_spl|sQ3_spl),
% 0.14/0.39 inference(contradiction_clause,[status(thm)],[f517])).
% 0.14/0.39 fof(f519,plain,(
% 0.14/0.39 ![X0]: (~ssItem(X0)|~cons(X0,nil)=sk3|~memberP(sk2,X0)|~sQ4_spl)),
% 0.14/0.39 inference(forward_demodulation,[status(thm)],[f437,f466])).
% 0.14/0.39 fof(f520,plain,(
% 0.14/0.39 ![X0]: (~ssItem(X0)|~cons(X0,nil)=sk3|~memberP(sk4,X0)|~sQ4_spl)),
% 0.14/0.39 inference(forward_demodulation,[status(thm)],[f436,f519])).
% 0.14/0.39 fof(f548,plain,(
% 0.14/0.39 ~ssItem(sk5)|~memberP(sk4,sk5)|~sQ4_spl|~sQ6_spl),
% 0.14/0.39 inference(resolution,[status(thm)],[f520,f474])).
% 0.14/0.39 fof(f550,plain,(
% 0.14/0.39 ~sQ5_spl|~sQ7_spl|~sQ4_spl|~sQ6_spl),
% 0.14/0.39 inference(split_clause,[status(thm)],[f548,f469,f477,f465,f473])).
% 0.14/0.39 fof(f555,plain,(
% 0.14/0.39 $false),
% 0.14/0.39 inference(sat_refutation,[status(thm)],[f460,f481,f482,f483,f484,f518,f550])).
% 0.14/0.39 % SZS output end CNFRefutation for theBenchmark.p
% 0.14/0.42 % Elapsed time: 0.049426 seconds
% 0.14/0.42 % CPU time: 0.094367 seconds
% 0.14/0.42 % Total memory used: 17.052 MB
% 0.14/0.42 % Net memory used: 17.030 MB
%------------------------------------------------------------------------------