%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SWC010-1 : 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 02:41:19 PM UTC 2026
% Result : Unsatisfiable 0.12s 0.39s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWC010-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.03 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.35 % Computer : n007.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Mon Sep 21 07:47:06 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.12/0.37 % Drodi V4.1.1
% 0.12/0.39 % Refutation found
% 0.12/0.39 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.12/0.39 % SZS output start CNFRefutation for theBenchmark
% 0.12/0.39 fof(f190,negated_conjecture,(
% 0.12/0.39 sk2 = sk4 ),
% 0.12/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.39 fof(f191,negated_conjecture,(
% 0.12/0.39 sk1 = sk3 ),
% 0.12/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.39 fof(f192,negated_conjecture,(
% 0.12/0.39 ( neq(sk2,nil)| neq(sk2,nil) ) ),
% 0.12/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.39 fof(f201,negated_conjecture,(
% 0.12/0.39 (![A,B,C]: (( ~ ssItem(A)| ~ ssList(B)| ~ ssList(C)| app(app(B,cons(A,nil)),C) != sk2| app(B,C) != sk1| ~ neq(sk4,nil) ) ))),
% 0.12/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.39 fof(f202,negated_conjecture,(
% 0.12/0.39 ( ssItem(sk5)| ~ neq(sk4,nil) ) ),
% 0.12/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.39 fof(f203,negated_conjecture,(
% 0.12/0.39 ( ssList(sk6)| ~ neq(sk4,nil) ) ),
% 0.12/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.39 fof(f204,negated_conjecture,(
% 0.12/0.39 ( ssList(sk7)| ~ neq(sk4,nil) ) ),
% 0.12/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.39 fof(f205,negated_conjecture,(
% 0.12/0.39 ( app(app(sk6,cons(sk5,nil)),sk7) = sk4| ~ neq(sk4,nil) ) ),
% 0.12/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.39 fof(f206,negated_conjecture,(
% 0.12/0.39 ( app(sk6,sk7) = sk3| ~ neq(sk4,nil) ) ),
% 0.12/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.39 fof(f442,plain,(
% 0.12/0.39 sk2=sk4),
% 0.12/0.39 inference(cnf_transformation,[status(thm)],[f190])).
% 0.12/0.39 fof(f443,plain,(
% 0.12/0.39 sk1=sk3),
% 0.12/0.39 inference(cnf_transformation,[status(thm)],[f191])).
% 0.12/0.39 fof(f444,plain,(
% 0.12/0.39 neq(sk2,nil)|neq(sk2,nil)),
% 0.12/0.39 inference(cnf_transformation,[status(thm)],[f192])).
% 0.12/0.39 fof(f455,plain,(
% 0.12/0.39 (![B,C]: ((![A]: (((~ssItem(A)|~ssList(B))|~ssList(C))|~app(app(B,cons(A,nil)),C)=sk2))|~app(B,C)=sk1))|~neq(sk4,nil)),
% 0.12/0.39 inference(miniscoping,[status(thm)],[f201])).
% 0.12/0.39 fof(f456,plain,(
% 0.12/0.39 ![X0,X1,X2]: (~ssItem(X0)|~ssList(X1)|~ssList(X2)|~app(app(X1,cons(X0,nil)),X2)=sk2|~app(X1,X2)=sk1|~neq(sk4,nil))),
% 0.12/0.39 inference(cnf_transformation,[status(thm)],[f455])).
% 0.12/0.39 fof(f457,plain,(
% 0.12/0.39 ssItem(sk5)|~neq(sk4,nil)),
% 0.12/0.39 inference(cnf_transformation,[status(thm)],[f202])).
% 0.12/0.39 fof(f458,plain,(
% 0.12/0.39 ssList(sk6)|~neq(sk4,nil)),
% 0.12/0.39 inference(cnf_transformation,[status(thm)],[f203])).
% 0.12/0.39 fof(f459,plain,(
% 0.12/0.39 ssList(sk7)|~neq(sk4,nil)),
% 0.12/0.39 inference(cnf_transformation,[status(thm)],[f204])).
% 0.12/0.39 fof(f460,plain,(
% 0.12/0.39 app(app(sk6,cons(sk5,nil)),sk7)=sk4|~neq(sk4,nil)),
% 0.12/0.39 inference(cnf_transformation,[status(thm)],[f205])).
% 0.12/0.39 fof(f461,plain,(
% 0.12/0.39 app(sk6,sk7)=sk3|~neq(sk4,nil)),
% 0.12/0.39 inference(cnf_transformation,[status(thm)],[f206])).
% 0.12/0.39 fof(f471,definition,(
% 0.12/0.39 sQ2_spl <=> (neq(sk2,nil))),
% 0.12/0.39 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 0.12/0.39 fof(f472,plain,(
% 0.12/0.39 neq(sk2,nil)|~sQ2_spl),
% 0.12/0.39 inference(component_clause,[status(thm)],[f471])).
% 0.12/0.39 fof(f474,plain,(
% 0.12/0.39 sQ2_spl),
% 0.12/0.39 inference(split_clause,[status(thm)],[f444,f471])).
% 0.12/0.39 fof(f475,definition,(
% 0.12/0.39 sQ3_spl <=> (neq(sk4,nil))),
% 0.12/0.39 introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition])).
% 0.12/0.39 fof(f477,plain,(
% 0.12/0.39 ~neq(sk4,nil)|sQ3_spl),
% 0.12/0.39 inference(component_clause,[status(thm)],[f475])).
% 0.12/0.39 fof(f479,definition,(
% 0.12/0.39 ![X0,X1,X2]: (sQ4_spl <=> (~ssItem(X0)|~ssList(X1)|~ssList(X2)|~app(app(X1,cons(X0,nil)),X2)=sk2|~app(X1,X2)=sk1))),
% 0.12/0.39 introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition])).
% 0.12/0.39 fof(f480,plain,(
% 0.12/0.39 ![X0,X1,X2]: (~ssItem(X0)|~ssList(X1)|~ssList(X2)|~app(app(X1,cons(X0,nil)),X2)=sk2|~app(X1,X2)=sk1|~sQ4_spl)),
% 0.12/0.39 inference(component_clause,[status(thm)],[f479])).
% 0.12/0.39 fof(f483,definition,(
% 0.12/0.39 sQ5_spl <=> (ssItem(sk5))),
% 0.12/0.39 introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition])).
% 0.12/0.39 fof(f487,definition,(
% 0.12/0.39 sQ6_spl <=> (ssList(sk6))),
% 0.12/0.39 introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition])).
% 0.12/0.39 fof(f491,definition,(
% 0.12/0.39 sQ7_spl <=> (ssList(sk7))),
% 0.12/0.39 introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition])).
% 0.12/0.39 fof(f495,definition,(
% 0.12/0.39 sQ8_spl <=> (app(app(sk6,cons(sk5,nil)),sk7)=sk4)),
% 0.12/0.39 introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition])).
% 0.12/0.40 fof(f496,plain,(
% 0.12/0.40 app(app(sk6,cons(sk5,nil)),sk7)=sk4|~sQ8_spl),
% 0.12/0.40 inference(component_clause,[status(thm)],[f495])).
% 0.12/0.40 fof(f499,definition,(
% 0.12/0.40 sQ9_spl <=> (app(sk6,sk7)=sk3)),
% 0.12/0.40 introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition])).
% 0.12/0.40 fof(f507,plain,(
% 0.12/0.40 sQ4_spl|~sQ3_spl),
% 0.12/0.40 inference(split_clause,[status(thm)],[f456,f479,f475])).
% 0.12/0.40 fof(f508,plain,(
% 0.12/0.40 sQ5_spl|~sQ3_spl),
% 0.12/0.40 inference(split_clause,[status(thm)],[f457,f483,f475])).
% 0.12/0.40 fof(f509,plain,(
% 0.12/0.40 sQ6_spl|~sQ3_spl),
% 0.12/0.40 inference(split_clause,[status(thm)],[f458,f487,f475])).
% 0.12/0.40 fof(f510,plain,(
% 0.12/0.40 sQ7_spl|~sQ3_spl),
% 0.12/0.40 inference(split_clause,[status(thm)],[f459,f491,f475])).
% 0.12/0.40 fof(f511,plain,(
% 0.12/0.40 sQ8_spl|~sQ3_spl),
% 0.12/0.40 inference(split_clause,[status(thm)],[f460,f495,f475])).
% 0.12/0.40 fof(f512,plain,(
% 0.12/0.40 sQ9_spl|~sQ3_spl),
% 0.12/0.40 inference(split_clause,[status(thm)],[f461,f499,f475])).
% 0.12/0.40 fof(f545,plain,(
% 0.12/0.40 neq(sk4,nil)|~sQ2_spl),
% 0.12/0.40 inference(forward_demodulation,[status(thm)],[f442,f472])).
% 0.12/0.40 fof(f546,plain,(
% 0.12/0.40 $false|~sQ2_spl|sQ3_spl),
% 0.12/0.40 inference(forward_subsumption_resolution,[status(thm)],[f477,f545])).
% 0.12/0.40 fof(f547,plain,(
% 0.12/0.40 ~sQ2_spl|sQ3_spl),
% 0.12/0.40 inference(contradiction_clause,[status(thm)],[f546])).
% 0.12/0.40 fof(f548,plain,(
% 0.12/0.40 ![X0,X1,X2]: (~ssItem(X0)|~ssList(X1)|~ssList(X2)|~app(app(X1,cons(X0,nil)),X2)=sk4|~app(X1,X2)=sk1|~sQ4_spl)),
% 0.12/0.40 inference(forward_demodulation,[status(thm)],[f442,f480])).
% 0.12/0.40 fof(f549,plain,(
% 0.12/0.40 ![X0,X1,X2]: (~ssItem(X0)|~ssList(X1)|~ssList(X2)|~app(app(X1,cons(X0,nil)),X2)=sk4|~app(X1,X2)=sk3|~sQ4_spl)),
% 0.12/0.40 inference(forward_demodulation,[status(thm)],[f443,f548])).
% 0.12/0.40 fof(f670,plain,(
% 0.12/0.40 ~ssItem(sk5)|~ssList(sk6)|~ssList(sk7)|~app(sk6,sk7)=sk3|~sQ8_spl|~sQ4_spl),
% 0.12/0.40 inference(resolution,[status(thm)],[f496,f549])).
% 0.12/0.40 fof(f672,plain,(
% 0.12/0.40 ~sQ5_spl|~sQ6_spl|~sQ7_spl|~sQ9_spl|~sQ8_spl|~sQ4_spl),
% 0.12/0.40 inference(split_clause,[status(thm)],[f670,f483,f487,f491,f499,f495,f479])).
% 0.12/0.40 fof(f677,plain,(
% 0.12/0.40 $false),
% 0.12/0.40 inference(sat_refutation,[status(thm)],[f474,f507,f508,f509,f510,f511,f512,f547,f672])).
% 0.12/0.40 % SZS output end CNFRefutation for theBenchmark.p
% 0.12/0.44 % Elapsed time: 0.066635 seconds
% 0.12/0.44 % CPU time: 0.173328 seconds
% 0.12/0.44 % Total memory used: 109.088 MB
% 0.12/0.44 % Net memory used: 108.940 MB
%------------------------------------------------------------------------------