%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SWC254-1 : 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 : n012.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 02:41:59 PM UTC 2026
% Result : Unsatisfiable 0.03s 5.34s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : SWC254-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.02 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.03/5.30 % Computer : n012.cluster.edu
% 0.03/5.30 % Model : x86_64 x86_64
% 0.03/5.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.03/5.30 % Memory : 8046.5625MB
% 0.03/5.30 % OS : Linux 6.8.0-71-generic
% 0.03/5.30 % CPULimit : 300
% 0.03/5.30 % WCLimit : 300
% 0.03/5.30 % DateTime : Mon Sep 21 08:09:12 UTC 2026
% 0.03/5.31 % CPUTime :
% 0.03/5.32 % Drodi V4.1.1
% 0.03/5.34 % Refutation found
% 0.03/5.34 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.03/5.34 % SZS output start CNFRefutation for theBenchmark
% 0.03/5.34 fof(f116,axiom,(
% 0.03/5.34 (![U,V]: (( cons(U,nil) != V| ~ ssItem(U)| ~ ssList(V)| singletonP(V) ) ))),
% 0.03/5.34 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.03/5.34 fof(f188,negated_conjecture,(
% 0.03/5.34 ssList(sk3) ),
% 0.03/5.34 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.03/5.34 fof(f190,negated_conjecture,(
% 0.03/5.34 sk2 = sk4 ),
% 0.03/5.34 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.03/5.34 fof(f191,negated_conjecture,(
% 0.03/5.34 sk1 = sk3 ),
% 0.03/5.34 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.03/5.34 fof(f192,negated_conjecture,(
% 0.03/5.34 ( neq(sk2,nil)| neq(sk2,nil) ) ),
% 0.03/5.34 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.03/5.34 fof(f199,negated_conjecture,(
% 0.03/5.34 ( ssItem(sk5)| ~ neq(sk4,nil) ) ),
% 0.03/5.34 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.03/5.34 fof(f201,negated_conjecture,(
% 0.03/5.34 ( cons(sk5,nil) = sk3| ~ neq(sk4,nil) ) ),
% 0.03/5.34 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.03/5.34 fof(f203,negated_conjecture,(
% 0.03/5.34 ( ~ singletonP(sk1)| ~ neq(sk4,nil) ) ),
% 0.03/5.34 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.03/5.34 fof(f326,plain,(
% 0.03/5.34 ![V]: (((![U]: (~cons(U,nil)=V|~ssItem(U)))|~ssList(V))|singletonP(V))),
% 0.03/5.34 inference(miniscoping,[status(thm)],[f116])).
% 0.03/5.34 fof(f327,plain,(
% 0.03/5.34 ![X0,X1]: (~cons(X0,nil)=X1|~ssItem(X0)|~ssList(X1)|singletonP(X1))),
% 0.03/5.34 inference(cnf_transformation,[status(thm)],[f326])).
% 0.03/5.34 fof(f436,plain,(
% 0.03/5.34 ssList(sk3)),
% 0.03/5.34 inference(cnf_transformation,[status(thm)],[f188])).
% 0.03/5.34 fof(f438,plain,(
% 0.03/5.34 sk2=sk4),
% 0.03/5.34 inference(cnf_transformation,[status(thm)],[f190])).
% 0.03/5.34 fof(f439,plain,(
% 0.03/5.34 sk1=sk3),
% 0.03/5.34 inference(cnf_transformation,[status(thm)],[f191])).
% 0.03/5.34 fof(f440,plain,(
% 0.03/5.34 neq(sk2,nil)|neq(sk2,nil)),
% 0.03/5.34 inference(cnf_transformation,[status(thm)],[f192])).
% 0.03/5.34 fof(f447,plain,(
% 0.03/5.34 ssItem(sk5)|~neq(sk4,nil)),
% 0.03/5.34 inference(cnf_transformation,[status(thm)],[f199])).
% 0.03/5.34 fof(f449,plain,(
% 0.03/5.34 cons(sk5,nil)=sk3|~neq(sk4,nil)),
% 0.03/5.34 inference(cnf_transformation,[status(thm)],[f201])).
% 0.03/5.34 fof(f451,plain,(
% 0.03/5.34 ~singletonP(sk1)|~neq(sk4,nil)),
% 0.03/5.34 inference(cnf_transformation,[status(thm)],[f203])).
% 0.03/5.34 fof(f459,definition,(
% 0.03/5.34 sQ2_spl <=> (neq(sk2,nil))),
% 0.03/5.34 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 0.03/5.34 fof(f460,plain,(
% 0.03/5.34 neq(sk2,nil)|~sQ2_spl),
% 0.03/5.34 inference(component_clause,[status(thm)],[f459])).
% 0.03/5.34 fof(f462,plain,(
% 0.03/5.34 sQ2_spl),
% 0.03/5.34 inference(split_clause,[status(thm)],[f440,f459])).
% 0.03/5.34 fof(f463,definition,(
% 0.03/5.34 sQ3_spl <=> (neq(sk4,nil))),
% 0.03/5.34 introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition])).
% 0.03/5.34 fof(f465,plain,(
% 0.03/5.34 ~neq(sk4,nil)|sQ3_spl),
% 0.03/5.34 inference(component_clause,[status(thm)],[f463])).
% 0.03/5.34 fof(f467,definition,(
% 0.03/5.34 sQ4_spl <=> (ssItem(sk5))),
% 0.03/5.34 introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition])).
% 0.03/5.34 fof(f475,definition,(
% 0.03/5.34 sQ6_spl <=> (cons(sk5,nil)=sk3)),
% 0.03/5.34 introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition])).
% 0.03/5.34 fof(f476,plain,(
% 0.03/5.34 cons(sk5,nil)=sk3|~sQ6_spl),
% 0.03/5.34 inference(component_clause,[status(thm)],[f475])).
% 0.03/5.34 fof(f483,definition,(
% 0.03/5.34 sQ8_spl <=> (singletonP(sk1))),
% 0.03/5.34 introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition])).
% 0.03/5.34 fof(f485,plain,(
% 0.03/5.34 ~singletonP(sk1)|sQ8_spl),
% 0.03/5.34 inference(component_clause,[status(thm)],[f483])).
% 0.03/5.34 fof(f487,plain,(
% 0.03/5.34 sQ4_spl|~sQ3_spl),
% 0.03/5.34 inference(split_clause,[status(thm)],[f447,f467,f463])).
% 0.03/5.34 fof(f489,plain,(
% 0.03/5.34 sQ6_spl|~sQ3_spl),
% 0.03/5.34 inference(split_clause,[status(thm)],[f449,f475,f463])).
% 0.03/5.34 fof(f491,plain,(
% 0.03/5.34 ~sQ8_spl|~sQ3_spl),
% 0.03/5.34 inference(split_clause,[status(thm)],[f451,f483,f463])).
% 0.03/5.34 fof(f501,plain,(
% 0.03/5.34 ![X0]: (~ssItem(X0)|~ssList(cons(X0,nil))|singletonP(cons(X0,nil)))),
% 0.03/5.34 inference(destructive_equality_resolution,[status(thm)],[f327])).
% 0.03/5.34 fof(f523,plain,(
% 0.03/5.34 neq(sk4,nil)|~sQ2_spl),
% 0.03/5.34 inference(forward_demodulation,[status(thm)],[f438,f460])).
% 0.03/5.34 fof(f524,plain,(
% 0.03/5.34 $false|~sQ2_spl|sQ3_spl),
% 0.03/5.34 inference(forward_subsumption_resolution,[status(thm)],[f465,f523])).
% 0.03/5.34 fof(f525,plain,(
% 0.03/5.34 ~sQ2_spl|sQ3_spl),
% 0.03/5.34 inference(contradiction_clause,[status(thm)],[f524])).
% 0.03/5.34 fof(f526,plain,(
% 0.03/5.34 ~singletonP(sk3)|sQ8_spl),
% 0.03/5.34 inference(forward_demodulation,[status(thm)],[f439,f485])).
% 0.03/5.34 fof(f1305,plain,(
% 0.03/5.34 ~ssItem(sk5)|~ssList(sk3)|singletonP(cons(sk5,nil))|~sQ6_spl),
% 0.03/5.34 inference(paramodulation,[status(thm)],[f476,f501])).
% 0.03/5.34 fof(f1306,definition,(
% 0.03/5.34 sQ11_spl <=> (ssList(sk3))),
% 0.03/5.34 introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition])).
% 0.03/5.34 fof(f1308,plain,(
% 0.03/5.34 ~ssList(sk3)|sQ11_spl),
% 0.03/5.34 inference(component_clause,[status(thm)],[f1306])).
% 0.03/5.34 fof(f1309,definition,(
% 0.03/5.34 sQ12_spl <=> (singletonP(cons(sk5,nil)))),
% 0.03/5.34 introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition])).
% 0.03/5.34 fof(f1310,plain,(
% 0.03/5.34 singletonP(cons(sk5,nil))|~sQ12_spl),
% 0.03/5.34 inference(component_clause,[status(thm)],[f1309])).
% 0.03/5.34 fof(f1312,plain,(
% 0.03/5.34 ~sQ4_spl|~sQ11_spl|sQ12_spl|~sQ6_spl),
% 0.03/5.34 inference(split_clause,[status(thm)],[f1305,f467,f1306,f1309,f475])).
% 0.03/5.34 fof(f1313,plain,(
% 0.03/5.34 $false|sQ11_spl),
% 0.03/5.34 inference(forward_subsumption_resolution,[status(thm)],[f1308,f436])).
% 0.03/5.34 fof(f1314,plain,(
% 0.03/5.34 sQ11_spl),
% 0.03/5.34 inference(contradiction_clause,[status(thm)],[f1313])).
% 0.03/5.34 fof(f1315,plain,(
% 0.03/5.34 singletonP(sk3)|~sQ6_spl|~sQ12_spl),
% 0.03/5.34 inference(forward_demodulation,[status(thm)],[f476,f1310])).
% 0.03/5.34 fof(f1316,plain,(
% 0.03/5.34 $false|sQ8_spl|~sQ6_spl|~sQ12_spl),
% 0.03/5.34 inference(forward_subsumption_resolution,[status(thm)],[f1315,f526])).
% 0.03/5.34 fof(f1317,plain,(
% 0.03/5.34 sQ8_spl|~sQ6_spl|~sQ12_spl),
% 0.03/5.34 inference(contradiction_clause,[status(thm)],[f1316])).
% 0.03/5.34 fof(f1318,plain,(
% 0.03/5.34 $false),
% 0.03/5.34 inference(sat_refutation,[status(thm)],[f462,f487,f489,f491,f525,f1312,f1314,f1317])).
% 0.03/5.34 % SZS output end CNFRefutation for theBenchmark.p
% 0.03/5.36 % Elapsed time: 0.050474 seconds
% 0.03/5.36 % CPU time: 0.136825 seconds
% 0.03/5.36 % Total memory used: 110.260 MB
% 0.03/5.36 % Net memory used: 110.055 MB
%------------------------------------------------------------------------------