%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SWC096-1 : 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 : n004.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 02:41:34 PM UTC 2026
% Result : Unsatisfiable 0.09s 0.42s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWC096-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.03 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n004.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 07:55:36 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.38 % Drodi V4.1.1
% 0.09/0.42 % Refutation found
% 0.09/0.42 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.09/0.42 % SZS output start CNFRefutation for theBenchmark
% 0.09/0.42 fof(f8,axiom,(
% 0.09/0.42 ssList(nil) ),
% 0.09/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.42 fof(f190,negated_conjecture,(
% 0.09/0.42 sk2 = sk4 ),
% 0.09/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.42 fof(f191,negated_conjecture,(
% 0.09/0.42 sk1 = sk3 ),
% 0.09/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.42 fof(f192,negated_conjecture,(
% 0.09/0.42 ( neq(sk2,nil)| neq(sk2,nil) ) ),
% 0.09/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.42 fof(f199,negated_conjecture,(
% 0.09/0.42 (![A,B]: (( ~ ssItem(A)| ~ ssList(B)| cons(A,nil) != sk1| app(B,cons(A,nil)) != sk2| ~ neq(sk4,nil) ) ))),
% 0.09/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.42 fof(f200,negated_conjecture,(
% 0.09/0.42 ( ssItem(sk5)| ~ neq(sk4,nil) ) ),
% 0.09/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.42 fof(f201,negated_conjecture,(
% 0.09/0.42 ( ssList(sk6)| ~ neq(sk4,nil) ) ),
% 0.09/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.42 fof(f202,negated_conjecture,(
% 0.09/0.42 ( cons(sk5,nil) = sk3| ~ neq(sk4,nil) ) ),
% 0.09/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.42 fof(f203,negated_conjecture,(
% 0.09/0.42 ( app(sk6,cons(sk5,nil)) = sk4| ~ neq(sk4,nil) ) ),
% 0.09/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.42 fof(f211,plain,(
% 0.09/0.42 ssList(nil)),
% 0.09/0.42 inference(cnf_transformation,[status(thm)],[f8])).
% 0.09/0.42 fof(f438,plain,(
% 0.09/0.42 sk2=sk4),
% 0.09/0.42 inference(cnf_transformation,[status(thm)],[f190])).
% 0.09/0.42 fof(f439,plain,(
% 0.09/0.42 sk1=sk3),
% 0.09/0.42 inference(cnf_transformation,[status(thm)],[f191])).
% 0.09/0.42 fof(f440,plain,(
% 0.09/0.42 neq(sk2,nil)|neq(sk2,nil)),
% 0.09/0.42 inference(cnf_transformation,[status(thm)],[f192])).
% 0.09/0.42 fof(f448,plain,(
% 0.09/0.42 (![A,B]: (((~ssItem(A)|~ssList(B))|~cons(A,nil)=sk1)|~app(B,cons(A,nil))=sk2))|~neq(sk4,nil)),
% 0.09/0.42 inference(miniscoping,[status(thm)],[f199])).
% 0.09/0.42 fof(f449,plain,(
% 0.09/0.42 ![X0,X1]: (~ssItem(X0)|~ssList(X1)|~cons(X0,nil)=sk1|~app(X1,cons(X0,nil))=sk2|~neq(sk4,nil))),
% 0.09/0.42 inference(cnf_transformation,[status(thm)],[f448])).
% 0.09/0.42 fof(f450,plain,(
% 0.09/0.42 ssItem(sk5)|~neq(sk4,nil)),
% 0.09/0.42 inference(cnf_transformation,[status(thm)],[f200])).
% 0.09/0.42 fof(f451,plain,(
% 0.09/0.42 ssList(sk6)|~neq(sk4,nil)),
% 0.09/0.42 inference(cnf_transformation,[status(thm)],[f201])).
% 0.09/0.42 fof(f452,plain,(
% 0.09/0.42 cons(sk5,nil)=sk3|~neq(sk4,nil)),
% 0.09/0.42 inference(cnf_transformation,[status(thm)],[f202])).
% 0.09/0.42 fof(f453,plain,(
% 0.09/0.42 app(sk6,cons(sk5,nil))=sk4|~neq(sk4,nil)),
% 0.09/0.42 inference(cnf_transformation,[status(thm)],[f203])).
% 0.09/0.42 fof(f461,definition,(
% 0.09/0.42 sQ2_spl <=> (neq(sk2,nil))),
% 0.09/0.42 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 0.09/0.42 fof(f462,plain,(
% 0.09/0.42 neq(sk2,nil)|~sQ2_spl),
% 0.09/0.42 inference(component_clause,[status(thm)],[f461])).
% 0.09/0.42 fof(f464,plain,(
% 0.09/0.42 sQ2_spl),
% 0.09/0.42 inference(split_clause,[status(thm)],[f440,f461])).
% 0.09/0.42 fof(f465,definition,(
% 0.09/0.42 sQ3_spl <=> (neq(sk4,nil))),
% 0.09/0.42 introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition])).
% 0.09/0.42 fof(f467,plain,(
% 0.09/0.42 ~neq(sk4,nil)|sQ3_spl),
% 0.09/0.42 inference(component_clause,[status(thm)],[f465])).
% 0.09/0.42 fof(f469,definition,(
% 0.09/0.42 ![X0,X1]: (sQ4_spl <=> (~ssItem(X0)|~ssList(X1)|~cons(X0,nil)=sk1|~app(X1,cons(X0,nil))=sk2))),
% 0.09/0.42 introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition])).
% 0.09/0.42 fof(f470,plain,(
% 0.09/0.42 ![X0,X1]: (~ssItem(X0)|~ssList(X1)|~cons(X0,nil)=sk1|~app(X1,cons(X0,nil))=sk2|~sQ4_spl)),
% 0.09/0.42 inference(component_clause,[status(thm)],[f469])).
% 0.09/0.42 fof(f473,definition,(
% 0.09/0.42 sQ5_spl <=> (ssItem(sk5))),
% 0.09/0.42 introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition])).
% 0.09/0.42 fof(f477,definition,(
% 0.09/0.42 sQ6_spl <=> (ssList(sk6))),
% 0.09/0.42 introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition])).
% 0.09/0.42 fof(f478,plain,(
% 0.09/0.42 ssList(sk6)|~sQ6_spl),
% 0.09/0.42 inference(component_clause,[status(thm)],[f477])).
% 0.09/0.42 fof(f481,definition,(
% 0.09/0.42 sQ7_spl <=> (cons(sk5,nil)=sk3)),
% 0.09/0.42 introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition])).
% 0.09/0.42 fof(f482,plain,(
% 0.09/0.42 cons(sk5,nil)=sk3|~sQ7_spl),
% 0.09/0.42 inference(component_clause,[status(thm)],[f481])).
% 0.09/0.42 fof(f485,definition,(
% 0.09/0.42 sQ8_spl <=> (app(sk6,cons(sk5,nil))=sk4)),
% 0.09/0.42 introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition])).
% 0.09/0.43 fof(f486,plain,(
% 0.09/0.43 app(sk6,cons(sk5,nil))=sk4|~sQ8_spl),
% 0.09/0.43 inference(component_clause,[status(thm)],[f485])).
% 0.09/0.43 fof(f489,plain,(
% 0.09/0.43 sQ4_spl|~sQ3_spl),
% 0.09/0.43 inference(split_clause,[status(thm)],[f449,f469,f465])).
% 0.09/0.43 fof(f490,plain,(
% 0.09/0.43 sQ5_spl|~sQ3_spl),
% 0.09/0.43 inference(split_clause,[status(thm)],[f450,f473,f465])).
% 0.09/0.43 fof(f491,plain,(
% 0.09/0.43 sQ6_spl|~sQ3_spl),
% 0.09/0.43 inference(split_clause,[status(thm)],[f451,f477,f465])).
% 0.09/0.43 fof(f492,plain,(
% 0.09/0.43 sQ7_spl|~sQ3_spl),
% 0.09/0.43 inference(split_clause,[status(thm)],[f452,f481,f465])).
% 0.09/0.43 fof(f493,plain,(
% 0.09/0.43 sQ8_spl|~sQ3_spl),
% 0.09/0.43 inference(split_clause,[status(thm)],[f453,f485,f465])).
% 0.09/0.43 fof(f525,plain,(
% 0.09/0.43 neq(sk4,nil)|~sQ2_spl),
% 0.09/0.43 inference(forward_demodulation,[status(thm)],[f438,f462])).
% 0.09/0.43 fof(f526,plain,(
% 0.09/0.43 $false|~sQ2_spl|sQ3_spl),
% 0.09/0.43 inference(forward_subsumption_resolution,[status(thm)],[f467,f525])).
% 0.09/0.43 fof(f527,plain,(
% 0.09/0.43 ~sQ2_spl|sQ3_spl),
% 0.09/0.43 inference(contradiction_clause,[status(thm)],[f526])).
% 0.09/0.43 fof(f528,plain,(
% 0.09/0.43 ![X0,X1]: (~ssItem(X0)|~ssList(X1)|~cons(X0,nil)=sk1|~app(X1,cons(X0,nil))=sk4|~sQ4_spl)),
% 0.09/0.43 inference(forward_demodulation,[status(thm)],[f438,f470])).
% 0.09/0.43 fof(f529,plain,(
% 0.09/0.43 cons(sk5,nil)=sk1|~sQ7_spl),
% 0.09/0.43 inference(forward_demodulation,[status(thm)],[f439,f482])).
% 0.09/0.43 fof(f540,plain,(
% 0.09/0.43 ![X0]: (~ssItem(sk5)|~ssList(X0)|~app(X0,cons(sk5,nil))=sk4|~sQ4_spl|~sQ7_spl)),
% 0.09/0.43 inference(resolution,[status(thm)],[f528,f529])).
% 0.09/0.43 fof(f542,definition,(
% 0.09/0.43 ![X0]: (sQ9_spl <=> (~ssList(X0)|~app(X0,cons(sk5,nil))=sk4))),
% 0.09/0.43 introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition])).
% 0.09/0.43 fof(f543,plain,(
% 0.09/0.43 ![X0]: (~ssList(X0)|~app(X0,cons(sk5,nil))=sk4|~sQ9_spl)),
% 0.09/0.43 inference(component_clause,[status(thm)],[f542])).
% 0.09/0.43 fof(f545,plain,(
% 0.09/0.43 ~sQ5_spl|sQ9_spl|~sQ4_spl|~sQ7_spl),
% 0.09/0.43 inference(split_clause,[status(thm)],[f540,f473,f542,f469,f481])).
% 0.09/0.43 fof(f550,plain,(
% 0.09/0.43 ![X0]: (~ssList(X0)|~app(X0,sk1)=sk4|~sQ7_spl|~sQ9_spl)),
% 0.09/0.43 inference(forward_demodulation,[status(thm)],[f529,f543])).
% 0.09/0.43 fof(f560,definition,(
% 0.09/0.43 sQ11_spl <=> (ssList(nil))),
% 0.09/0.43 introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition])).
% 0.09/0.43 fof(f562,plain,(
% 0.09/0.43 ~ssList(nil)|sQ11_spl),
% 0.09/0.43 inference(component_clause,[status(thm)],[f560])).
% 0.09/0.43 fof(f567,plain,(
% 0.09/0.43 $false|sQ11_spl),
% 0.09/0.43 inference(forward_subsumption_resolution,[status(thm)],[f562,f211])).
% 0.09/0.43 fof(f568,plain,(
% 0.09/0.43 sQ11_spl),
% 0.09/0.43 inference(contradiction_clause,[status(thm)],[f567])).
% 0.09/0.43 fof(f593,plain,(
% 0.09/0.43 app(sk6,sk1)=sk4|~sQ7_spl|~sQ8_spl),
% 0.09/0.43 inference(forward_demodulation,[status(thm)],[f529,f486])).
% 0.09/0.43 fof(f594,plain,(
% 0.09/0.43 ~ssList(sk6)|~sQ9_spl|~sQ7_spl|~sQ8_spl),
% 0.09/0.43 inference(resolution,[status(thm)],[f550,f593])).
% 0.09/0.43 fof(f597,plain,(
% 0.09/0.43 $false|~sQ6_spl|~sQ9_spl|~sQ7_spl|~sQ8_spl),
% 0.09/0.43 inference(forward_subsumption_resolution,[status(thm)],[f594,f478])).
% 0.09/0.43 fof(f598,plain,(
% 0.09/0.43 ~sQ6_spl|~sQ9_spl|~sQ7_spl|~sQ8_spl),
% 0.09/0.43 inference(contradiction_clause,[status(thm)],[f597])).
% 0.09/0.43 fof(f599,plain,(
% 0.09/0.43 $false),
% 0.09/0.43 inference(sat_refutation,[status(thm)],[f464,f489,f490,f491,f492,f493,f527,f545,f568,f598])).
% 0.09/0.43 % SZS output end CNFRefutation for theBenchmark.p
% 0.09/0.43 % Elapsed time: 0.064276 seconds
% 0.09/0.43 % CPU time: 0.213239 seconds
% 0.09/0.43 % Total memory used: 99.571 MB
% 0.09/0.43 % Net memory used: 99.426 MB
%------------------------------------------------------------------------------