%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SWC185-1 : 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 : n007.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 02:41:48 PM UTC 2026
% Result : Unsatisfiable 0.17s 0.53s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SWC185-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.06 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.17/0.45 % Computer : n007.cluster.edu
% 0.17/0.45 % Model : x86_64 x86_64
% 0.17/0.45 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.45 % Memory : 8046.5625MB
% 0.17/0.45 % OS : Linux 6.8.0-71-generic
% 0.17/0.45 % CPULimit : 300
% 0.17/0.45 % WCLimit : 300
% 0.17/0.45 % DateTime : Mon Sep 21 08:00:35 UTC 2026
% 0.17/0.45 % CPUTime :
% 0.17/0.48 % Drodi V4.1.1
% 0.17/0.53 % Refutation found
% 0.17/0.53 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.17/0.53 % SZS output start CNFRefutation for theBenchmark
% 0.17/0.53 fof(f8,axiom,(
% 0.17/0.53 ssList(nil) ),
% 0.17/0.53 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.17/0.53 fof(f73,axiom,(
% 0.17/0.53 (![U]: (( ~ ssList(U)| app(U,nil) = U ) ))),
% 0.17/0.53 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.17/0.53 fof(f85,axiom,(
% 0.17/0.53 (![U,V]: (( ~ ssList(U)| ~ ssList(V)| ssList(app(V,U)) ) ))),
% 0.17/0.53 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.17/0.53 fof(f191,negated_conjecture,(
% 0.17/0.53 sk1 = sk3 ),
% 0.17/0.53 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.17/0.53 fof(f192,negated_conjecture,(
% 0.17/0.53 (![A,B,C]: (( ~ ssItem(A)| ~ ssList(B)| ~ ssList(C)| app(app(B,cons(A,nil)),C) != sk3| ~ memberP(B,A) ) ))),
% 0.17/0.53 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.17/0.53 fof(f193,negated_conjecture,(
% 0.17/0.53 (![A,B,C]: (( ~ ssItem(A)| ~ ssList(B)| ~ ssList(C)| app(app(B,cons(A,nil)),C) != sk3| ~ memberP(C,A) ) ))),
% 0.17/0.53 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.17/0.53 fof(f194,negated_conjecture,(
% 0.17/0.53 ssItem(sk5) ),
% 0.17/0.53 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.17/0.53 fof(f195,negated_conjecture,(
% 0.17/0.53 ssList(sk6) ),
% 0.17/0.53 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.17/0.53 fof(f196,negated_conjecture,(
% 0.17/0.53 ssList(sk7) ),
% 0.17/0.53 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.17/0.53 fof(f197,negated_conjecture,(
% 0.17/0.53 app(app(sk6,cons(sk5,nil)),sk7) = sk1 ),
% 0.17/0.53 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.17/0.53 fof(f198,negated_conjecture,(
% 0.17/0.53 ( memberP(sk6,sk5)| memberP(sk7,sk5) ) ),
% 0.17/0.53 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.17/0.53 fof(f206,plain,(
% 0.17/0.53 ssList(nil)),
% 0.17/0.53 inference(cnf_transformation,[status(thm)],[f8])).
% 0.17/0.53 fof(f272,plain,(
% 0.17/0.53 ![X0]: (~ssList(X0)|app(X0,nil)=X0)),
% 0.17/0.53 inference(cnf_transformation,[status(thm)],[f73])).
% 0.17/0.53 fof(f284,plain,(
% 0.17/0.53 ![X0,X1]: (~ssList(X0)|~ssList(X1)|ssList(app(X1,X0)))),
% 0.17/0.53 inference(cnf_transformation,[status(thm)],[f85])).
% 0.17/0.53 fof(f434,plain,(
% 0.17/0.53 sk1=sk3),
% 0.17/0.53 inference(cnf_transformation,[status(thm)],[f191])).
% 0.17/0.53 fof(f435,plain,(
% 0.17/0.53 ![A,B]: ((![C]: (((~ssItem(A)|~ssList(B))|~ssList(C))|~app(app(B,cons(A,nil)),C)=sk3))|~memberP(B,A))),
% 0.17/0.53 inference(miniscoping,[status(thm)],[f192])).
% 0.17/0.53 fof(f436,plain,(
% 0.17/0.53 ![X0,X1,X2]: (~ssItem(X0)|~ssList(X1)|~ssList(X2)|~app(app(X1,cons(X0,nil)),X2)=sk3|~memberP(X1,X0))),
% 0.17/0.53 inference(cnf_transformation,[status(thm)],[f435])).
% 0.17/0.53 fof(f437,plain,(
% 0.17/0.53 ![A,C]: ((![B]: (((~ssItem(A)|~ssList(B))|~ssList(C))|~app(app(B,cons(A,nil)),C)=sk3))|~memberP(C,A))),
% 0.17/0.53 inference(miniscoping,[status(thm)],[f193])).
% 0.17/0.53 fof(f438,plain,(
% 0.17/0.53 ![X0,X1,X2]: (~ssItem(X0)|~ssList(X1)|~ssList(X2)|~app(app(X1,cons(X0,nil)),X2)=sk3|~memberP(X2,X0))),
% 0.17/0.53 inference(cnf_transformation,[status(thm)],[f437])).
% 0.17/0.53 fof(f439,plain,(
% 0.17/0.53 ssItem(sk5)),
% 0.17/0.53 inference(cnf_transformation,[status(thm)],[f194])).
% 0.17/0.53 fof(f440,plain,(
% 0.17/0.53 ssList(sk6)),
% 0.17/0.53 inference(cnf_transformation,[status(thm)],[f195])).
% 0.17/0.53 fof(f441,plain,(
% 0.17/0.53 ssList(sk7)),
% 0.17/0.53 inference(cnf_transformation,[status(thm)],[f196])).
% 0.17/0.53 fof(f442,plain,(
% 0.17/0.53 app(app(sk6,cons(sk5,nil)),sk7)=sk1),
% 0.17/0.53 inference(cnf_transformation,[status(thm)],[f197])).
% 0.17/0.53 fof(f443,plain,(
% 0.17/0.53 memberP(sk6,sk5)|memberP(sk7,sk5)),
% 0.17/0.53 inference(cnf_transformation,[status(thm)],[f198])).
% 0.17/0.53 fof(f451,definition,(
% 0.17/0.53 sQ2_spl <=> (memberP(sk6,sk5))),
% 0.17/0.53 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 0.17/0.53 fof(f454,definition,(
% 0.17/0.53 sQ3_spl <=> (memberP(sk7,sk5))),
% 0.17/0.53 introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition])).
% 0.17/0.53 fof(f455,plain,(
% 0.17/0.53 memberP(sk7,sk5)|~sQ3_spl),
% 0.17/0.53 inference(component_clause,[status(thm)],[f454])).
% 0.17/0.53 fof(f457,plain,(
% 0.17/0.53 sQ2_spl|sQ3_spl),
% 0.17/0.53 inference(split_clause,[status(thm)],[f443,f451,f454])).
% 0.17/0.53 fof(f489,plain,(
% 0.17/0.53 app(sk7,nil)=sk7),
% 0.17/0.53 inference(resolution,[status(thm)],[f272,f441])).
% 0.17/0.53 fof(f495,plain,(
% 0.17/0.53 ![X0,X1,X2]: (~ssItem(X0)|~ssList(X1)|~ssList(X2)|~app(app(X1,cons(X0,nil)),X2)=sk1|~memberP(X1,X0))),
% 0.17/0.53 inference(forward_demodulation,[status(thm)],[f434,f436])).
% 0.17/0.53 fof(f503,plain,(
% 0.17/0.53 ![X0]: (~ssList(X0)|ssList(app(sk7,X0)))),
% 0.17/0.53 inference(resolution,[status(thm)],[f284,f441])).
% 0.17/0.53 fof(f538,plain,(
% 0.17/0.54 ~ssList(nil)|ssList(sk7)),
% 0.17/0.54 inference(paramodulation,[status(thm)],[f489,f503])).
% 0.17/0.54 fof(f539,definition,(
% 0.17/0.54 sQ4_spl <=> (ssList(nil))),
% 0.17/0.54 introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition])).
% 0.17/0.54 fof(f541,plain,(
% 0.17/0.54 ~ssList(nil)|sQ4_spl),
% 0.17/0.54 inference(component_clause,[status(thm)],[f539])).
% 0.17/0.54 fof(f542,definition,(
% 0.17/0.54 sQ5_spl <=> (ssList(sk7))),
% 0.17/0.54 introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition])).
% 0.17/0.54 fof(f545,plain,(
% 0.17/0.54 ~sQ4_spl|sQ5_spl),
% 0.17/0.54 inference(split_clause,[status(thm)],[f538,f539,f542])).
% 0.17/0.54 fof(f546,plain,(
% 0.17/0.54 $false|sQ4_spl),
% 0.17/0.54 inference(forward_subsumption_resolution,[status(thm)],[f541,f206])).
% 0.17/0.54 fof(f547,plain,(
% 0.17/0.54 sQ4_spl),
% 0.17/0.54 inference(contradiction_clause,[status(thm)],[f546])).
% 0.17/0.54 fof(f548,plain,(
% 0.17/0.54 ![X0,X1,X2]: (~ssItem(X0)|~ssList(X1)|~ssList(X2)|~app(app(X1,cons(X0,nil)),X2)=sk1|~memberP(X2,X0))),
% 0.17/0.54 inference(forward_demodulation,[status(thm)],[f434,f438])).
% 0.17/0.54 fof(f550,definition,(
% 0.17/0.54 sQ6_spl <=> (ssItem(sk5))),
% 0.17/0.54 introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition])).
% 0.17/0.54 fof(f552,plain,(
% 0.17/0.54 ~ssItem(sk5)|sQ6_spl),
% 0.17/0.54 inference(component_clause,[status(thm)],[f550])).
% 0.17/0.54 fof(f556,definition,(
% 0.17/0.54 sQ8_spl <=> (ssList(sk6))),
% 0.17/0.54 introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition])).
% 0.17/0.54 fof(f558,plain,(
% 0.17/0.54 ~ssList(sk6)|sQ8_spl),
% 0.17/0.54 inference(component_clause,[status(thm)],[f556])).
% 0.17/0.54 fof(f560,plain,(
% 0.17/0.54 $false|sQ8_spl),
% 0.17/0.54 inference(forward_subsumption_resolution,[status(thm)],[f558,f440])).
% 0.17/0.54 fof(f561,plain,(
% 0.17/0.54 sQ8_spl),
% 0.17/0.54 inference(contradiction_clause,[status(thm)],[f560])).
% 0.17/0.54 fof(f562,plain,(
% 0.17/0.54 ![X0]: (~ssItem(sk5)|~ssList(X0)|~ssList(sk7)|~app(app(X0,cons(sk5,nil)),sk7)=sk1|~sQ3_spl)),
% 0.17/0.54 inference(resolution,[status(thm)],[f455,f548])).
% 0.17/0.54 fof(f563,definition,(
% 0.17/0.54 ![X0]: (sQ9_spl <=> (~ssList(X0)|~app(app(X0,cons(sk5,nil)),sk7)=sk1))),
% 0.17/0.54 introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition])).
% 0.17/0.54 fof(f564,plain,(
% 0.17/0.54 ![X0]: (~ssList(X0)|~app(app(X0,cons(sk5,nil)),sk7)=sk1|~sQ9_spl)),
% 0.17/0.54 inference(component_clause,[status(thm)],[f563])).
% 0.17/0.54 fof(f566,plain,(
% 0.17/0.54 ~sQ6_spl|sQ9_spl|~sQ5_spl|~sQ3_spl),
% 0.17/0.54 inference(split_clause,[status(thm)],[f562,f550,f563,f542,f454])).
% 0.17/0.54 fof(f567,plain,(
% 0.17/0.54 $false|sQ6_spl),
% 0.17/0.54 inference(forward_subsumption_resolution,[status(thm)],[f552,f439])).
% 0.17/0.54 fof(f568,plain,(
% 0.17/0.54 sQ6_spl),
% 0.17/0.54 inference(contradiction_clause,[status(thm)],[f567])).
% 0.17/0.54 fof(f664,plain,(
% 0.17/0.54 ~ssItem(sk5)|~ssList(sk6)|~ssList(sk7)|~memberP(sk6,sk5)),
% 0.17/0.54 inference(resolution,[status(thm)],[f442,f495])).
% 0.17/0.54 fof(f666,plain,(
% 0.17/0.54 ~sQ6_spl|~sQ8_spl|~sQ5_spl|~sQ2_spl),
% 0.17/0.54 inference(split_clause,[status(thm)],[f664,f550,f556,f542,f451])).
% 0.17/0.54 fof(f1045,plain,(
% 0.17/0.54 ~ssList(sk6)|~sQ9_spl),
% 0.17/0.54 inference(resolution,[status(thm)],[f564,f442])).
% 0.17/0.54 fof(f1047,plain,(
% 0.17/0.54 ~sQ8_spl|~sQ9_spl),
% 0.17/0.54 inference(split_clause,[status(thm)],[f1045,f556,f563])).
% 0.17/0.54 fof(f1049,plain,(
% 0.17/0.54 $false),
% 0.17/0.54 inference(sat_refutation,[status(thm)],[f457,f545,f547,f561,f566,f568,f666,f1047])).
% 0.17/0.54 % SZS output end CNFRefutation for theBenchmark.p
% 0.26/0.58 % Elapsed time: 0.120228 seconds
% 0.26/0.58 % CPU time: 0.323803 seconds
% 0.26/0.58 % Total memory used: 70.734 MB
% 0.26/0.58 % Net memory used: 70.537 MB
%------------------------------------------------------------------------------