%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SWC407-1 : 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 : n015.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 02:42:23 PM UTC 2026
% Result : Unsatisfiable 0.13s 0.41s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWC407-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.34 % Computer : n015.cluster.edu
% 0.08/0.34 % Model : x86_64 x86_64
% 0.08/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.34 % Memory : 8046.5625MB
% 0.08/0.34 % OS : Linux 6.8.0-71-generic
% 0.08/0.34 % CPULimit : 300
% 0.08/0.34 % WCLimit : 300
% 0.08/0.34 % DateTime : Mon Sep 21 08:25:23 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.08/0.36 % Drodi V4.1.1
% 0.13/0.41 % Refutation found
% 0.13/0.41 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.13/0.41 % SZS output start CNFRefutation for theBenchmark
% 0.13/0.41 fof(f8,axiom,(
% 0.13/0.41 ssList(nil) ),
% 0.13/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.41 fof(f71,axiom,(
% 0.13/0.41 (![U]: (( ~ memberP(nil,U)| ~ ssItem(U) ) ))),
% 0.13/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.41 fof(f161,axiom,(
% 0.13/0.41 (![U,V,W]: (( ~ memberP(cons(U,V),W)| ~ ssList(V)| ~ ssItem(U)| ~ ssItem(W)| memberP(V,W)| W = U ) ))),
% 0.13/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.41 fof(f190,negated_conjecture,(
% 0.13/0.41 sk2 = sk4 ),
% 0.13/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.41 fof(f191,negated_conjecture,(
% 0.13/0.41 sk1 = sk3 ),
% 0.13/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.41 fof(f192,negated_conjecture,(
% 0.13/0.41 ssItem(sk5) ),
% 0.13/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.41 fof(f193,negated_conjecture,(
% 0.13/0.41 memberP(sk1,sk5) ),
% 0.13/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.41 fof(f194,negated_conjecture,(
% 0.13/0.41 ~ memberP(sk2,sk5) ),
% 0.13/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.41 fof(f196,negated_conjecture,(
% 0.13/0.41 ( ssItem(sk6)| nil = sk3 ) ),
% 0.13/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.41 fof(f199,negated_conjecture,(
% 0.13/0.41 ( cons(sk6,nil) = sk3| nil = sk3 ) ),
% 0.13/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.41 fof(f200,negated_conjecture,(
% 0.13/0.41 ( memberP(sk4,sk6)| nil = sk3 ) ),
% 0.13/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.41 fof(f208,plain,(
% 0.13/0.41 ssList(nil)),
% 0.13/0.41 inference(cnf_transformation,[status(thm)],[f8])).
% 0.13/0.41 fof(f271,plain,(
% 0.13/0.41 ![X0]: (~memberP(nil,X0)|~ssItem(X0))),
% 0.13/0.41 inference(cnf_transformation,[status(thm)],[f71])).
% 0.13/0.41 fof(f391,plain,(
% 0.13/0.41 ![U,W]: ((![V]: ((((~memberP(cons(U,V),W)|~ssList(V))|~ssItem(U))|~ssItem(W))|memberP(V,W)))|W=U)),
% 0.13/0.41 inference(miniscoping,[status(thm)],[f161])).
% 0.13/0.41 fof(f392,plain,(
% 0.13/0.41 ![X0,X1,X2]: (~memberP(cons(X0,X1),X2)|~ssList(X1)|~ssItem(X0)|~ssItem(X2)|memberP(X1,X2)|X2=X0)),
% 0.13/0.41 inference(cnf_transformation,[status(thm)],[f391])).
% 0.13/0.41 fof(f435,plain,(
% 0.13/0.41 sk2=sk4),
% 0.13/0.41 inference(cnf_transformation,[status(thm)],[f190])).
% 0.13/0.41 fof(f436,plain,(
% 0.13/0.41 sk1=sk3),
% 0.13/0.41 inference(cnf_transformation,[status(thm)],[f191])).
% 0.13/0.41 fof(f437,plain,(
% 0.13/0.41 ssItem(sk5)),
% 0.13/0.41 inference(cnf_transformation,[status(thm)],[f192])).
% 0.13/0.41 fof(f438,plain,(
% 0.13/0.41 memberP(sk1,sk5)),
% 0.13/0.41 inference(cnf_transformation,[status(thm)],[f193])).
% 0.13/0.41 fof(f439,plain,(
% 0.13/0.41 ~memberP(sk2,sk5)),
% 0.13/0.41 inference(cnf_transformation,[status(thm)],[f194])).
% 0.13/0.41 fof(f441,plain,(
% 0.13/0.41 ssItem(sk6)|nil=sk3),
% 0.13/0.41 inference(cnf_transformation,[status(thm)],[f196])).
% 0.13/0.41 fof(f444,plain,(
% 0.13/0.41 cons(sk6,nil)=sk3|nil=sk3),
% 0.13/0.41 inference(cnf_transformation,[status(thm)],[f199])).
% 0.13/0.41 fof(f445,plain,(
% 0.13/0.41 memberP(sk4,sk6)|nil=sk3),
% 0.13/0.41 inference(cnf_transformation,[status(thm)],[f200])).
% 0.13/0.41 fof(f453,definition,(
% 0.13/0.41 sQ2_spl <=> (ssItem(sk6))),
% 0.13/0.41 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 0.13/0.41 fof(f460,definition,(
% 0.13/0.41 sQ4_spl <=> (nil=sk3)),
% 0.13/0.41 introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition])).
% 0.13/0.41 fof(f461,plain,(
% 0.13/0.41 nil=sk3|~sQ4_spl),
% 0.13/0.41 inference(component_clause,[status(thm)],[f460])).
% 0.13/0.41 fof(f463,plain,(
% 0.13/0.41 sQ2_spl|sQ4_spl),
% 0.13/0.41 inference(split_clause,[status(thm)],[f441,f453,f460])).
% 0.13/0.41 fof(f464,definition,(
% 0.13/0.41 sQ5_spl <=> (cons(sk6,nil)=sk3)),
% 0.13/0.41 introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition])).
% 0.13/0.41 fof(f465,plain,(
% 0.13/0.41 cons(sk6,nil)=sk3|~sQ5_spl),
% 0.13/0.41 inference(component_clause,[status(thm)],[f464])).
% 0.13/0.41 fof(f468,definition,(
% 0.13/0.41 sQ6_spl <=> (memberP(sk4,sk6))),
% 0.13/0.41 introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition])).
% 0.13/0.41 fof(f469,plain,(
% 0.13/0.41 memberP(sk4,sk6)|~sQ6_spl),
% 0.13/0.41 inference(component_clause,[status(thm)],[f468])).
% 0.13/0.41 fof(f472,plain,(
% 0.13/0.41 sQ5_spl|sQ4_spl),
% 0.13/0.41 inference(split_clause,[status(thm)],[f444,f464,f460])).
% 0.13/0.41 fof(f473,plain,(
% 0.13/0.41 sQ6_spl|sQ4_spl),
% 0.13/0.41 inference(split_clause,[status(thm)],[f445,f468,f460])).
% 0.13/0.41 fof(f506,plain,(
% 0.13/0.41 nil=sk1|~sQ4_spl),
% 0.13/0.41 inference(forward_demodulation,[status(thm)],[f436,f461])).
% 0.13/0.41 fof(f509,plain,(
% 0.13/0.41 ![X0]: (~memberP(sk1,X0)|~ssItem(X0)|~sQ4_spl)),
% 0.13/0.41 inference(forward_demodulation,[status(thm)],[f506,f271])).
% 0.13/0.43 fof(f519,plain,(
% 0.13/0.43 ~ssItem(sk5)|~sQ4_spl),
% 0.13/0.43 inference(resolution,[status(thm)],[f438,f509])).
% 0.13/0.43 fof(f520,plain,(
% 0.13/0.43 $false|~sQ4_spl),
% 0.13/0.43 inference(forward_subsumption_resolution,[status(thm)],[f519,f437])).
% 0.13/0.43 fof(f521,plain,(
% 0.13/0.43 ~sQ4_spl),
% 0.13/0.43 inference(contradiction_clause,[status(thm)],[f520])).
% 0.13/0.43 fof(f522,plain,(
% 0.13/0.43 cons(sk6,nil)=sk1|~sQ5_spl),
% 0.13/0.43 inference(forward_demodulation,[status(thm)],[f436,f465])).
% 0.13/0.43 fof(f524,plain,(
% 0.13/0.43 memberP(sk2,sk6)|~sQ6_spl),
% 0.13/0.43 inference(forward_demodulation,[status(thm)],[f435,f469])).
% 0.13/0.43 fof(f526,definition,(
% 0.13/0.43 sQ7_spl <=> (ssList(nil))),
% 0.13/0.43 introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition])).
% 0.13/0.43 fof(f528,plain,(
% 0.13/0.43 ~ssList(nil)|sQ7_spl),
% 0.13/0.43 inference(component_clause,[status(thm)],[f526])).
% 0.13/0.43 fof(f533,plain,(
% 0.13/0.43 $false|sQ7_spl),
% 0.13/0.43 inference(forward_subsumption_resolution,[status(thm)],[f528,f208])).
% 0.13/0.43 fof(f534,plain,(
% 0.13/0.43 sQ7_spl),
% 0.13/0.43 inference(contradiction_clause,[status(thm)],[f533])).
% 0.13/0.43 fof(f653,plain,(
% 0.13/0.43 ![X0]: (~memberP(sk1,X0)|~ssList(nil)|~ssItem(sk6)|~ssItem(X0)|memberP(nil,X0)|X0=sk6|~sQ5_spl)),
% 0.13/0.43 inference(paramodulation,[status(thm)],[f522,f392])).
% 0.13/0.43 fof(f654,definition,(
% 0.13/0.43 ![X0]: (sQ11_spl <=> (~memberP(sk1,X0)|~ssItem(X0)|memberP(nil,X0)|X0=sk6))),
% 0.13/0.43 introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition])).
% 0.13/0.43 fof(f655,plain,(
% 0.13/0.43 ![X0]: (~memberP(sk1,X0)|~ssItem(X0)|memberP(nil,X0)|X0=sk6|~sQ11_spl)),
% 0.13/0.43 inference(component_clause,[status(thm)],[f654])).
% 0.13/0.43 fof(f657,plain,(
% 0.13/0.43 sQ11_spl|~sQ7_spl|~sQ2_spl|~sQ5_spl),
% 0.13/0.43 inference(split_clause,[status(thm)],[f653,f654,f526,f453,f464])).
% 0.13/0.43 fof(f658,plain,(
% 0.13/0.43 ![X0]: (~memberP(sk1,X0)|~ssItem(X0)|X0=sk6|~sQ11_spl)),
% 0.13/0.43 inference(forward_subsumption_resolution,[status(thm)],[f655,f271])).
% 0.13/0.43 fof(f692,plain,(
% 0.13/0.43 ~ssItem(sk5)|sk5=sk6|~sQ11_spl),
% 0.13/0.43 inference(resolution,[status(thm)],[f658,f438])).
% 0.13/0.43 fof(f697,definition,(
% 0.13/0.43 sQ13_spl <=> (ssItem(sk5))),
% 0.13/0.43 introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition])).
% 0.13/0.43 fof(f699,plain,(
% 0.13/0.43 ~ssItem(sk5)|sQ13_spl),
% 0.13/0.43 inference(component_clause,[status(thm)],[f697])).
% 0.13/0.43 fof(f700,definition,(
% 0.13/0.43 sQ14_spl <=> (sk5=sk6)),
% 0.13/0.43 introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition])).
% 0.13/0.43 fof(f701,plain,(
% 0.13/0.43 sk5=sk6|~sQ14_spl),
% 0.13/0.43 inference(component_clause,[status(thm)],[f700])).
% 0.13/0.43 fof(f703,plain,(
% 0.13/0.43 ~sQ13_spl|sQ14_spl|~sQ11_spl),
% 0.13/0.43 inference(split_clause,[status(thm)],[f692,f697,f700,f654])).
% 0.13/0.43 fof(f704,plain,(
% 0.13/0.43 $false|sQ13_spl),
% 0.13/0.43 inference(forward_subsumption_resolution,[status(thm)],[f699,f437])).
% 0.13/0.43 fof(f705,plain,(
% 0.13/0.43 sQ13_spl),
% 0.13/0.43 inference(contradiction_clause,[status(thm)],[f704])).
% 0.13/0.43 fof(f713,plain,(
% 0.13/0.43 memberP(sk2,sk5)|~sQ14_spl|~sQ6_spl),
% 0.13/0.43 inference(backward_demodulation,[status(thm)],[f701,f524])).
% 0.13/0.43 fof(f715,plain,(
% 0.13/0.43 $false|~sQ14_spl|~sQ6_spl),
% 0.13/0.43 inference(forward_subsumption_resolution,[status(thm)],[f713,f439])).
% 0.13/0.43 fof(f716,plain,(
% 0.13/0.43 ~sQ14_spl|~sQ6_spl),
% 0.13/0.43 inference(contradiction_clause,[status(thm)],[f715])).
% 0.13/0.43 fof(f717,plain,(
% 0.13/0.43 $false),
% 0.13/0.43 inference(sat_refutation,[status(thm)],[f463,f472,f473,f521,f534,f657,f703,f705,f716])).
% 0.13/0.43 % SZS output end CNFRefutation for theBenchmark.p
% 0.13/0.44 % Elapsed time: 0.087337 seconds
% 0.13/0.44 % CPU time: 0.371712 seconds
% 0.13/0.44 % Total memory used: 102.237 MB
% 0.13/0.44 % Net memory used: 101.484 MB
%------------------------------------------------------------------------------