%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SWC312-1 : 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 : n017.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 02:42:08 PM UTC 2026
% Result : Unsatisfiable 0.15s 5.43s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWC312-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/5.37 % Computer : n017.cluster.edu
% 0.10/5.37 % Model : x86_64 x86_64
% 0.10/5.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/5.37 % Memory : 8046.5625MB
% 0.10/5.37 % OS : Linux 6.8.0-71-generic
% 0.10/5.37 % CPULimit : 300
% 0.10/5.37 % WCLimit : 300
% 0.10/5.37 % DateTime : Mon Sep 21 08:10:02 UTC 2026
% 0.10/5.38 % CPUTime :
% 0.10/5.39 % Drodi V4.1.1
% 0.15/5.43 % Refutation found
% 0.15/5.43 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.15/5.43 % SZS output start CNFRefutation for theBenchmark
% 0.15/5.43 fof(f8,axiom,(
% 0.15/5.43 ssList(nil) ),
% 0.15/5.43 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/5.43 fof(f13,axiom,(
% 0.15/5.43 (![U]: (ssList(skaf82(U)) ))),
% 0.15/5.43 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/5.43 fof(f14,axiom,(
% 0.15/5.43 (![U]: (ssList(skaf81(U)) ))),
% 0.15/5.43 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/5.43 fof(f73,axiom,(
% 0.15/5.43 (![U]: (( ~ ssList(U)| app(U,nil) = U ) ))),
% 0.15/5.43 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/5.43 fof(f74,axiom,(
% 0.15/5.43 (![U]: (( ~ ssList(U)| app(nil,U) = U ) ))),
% 0.15/5.43 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/5.43 fof(f115,axiom,(
% 0.15/5.43 (![U,V]: (( U != V| ~ neq(U,V)| ~ ssList(V)| ~ ssList(U) ) ))),
% 0.15/5.43 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/5.43 fof(f118,axiom,(
% 0.15/5.43 (![U,V]: (( app(U,V) != nil| ~ ssList(V)| ~ ssList(U)| nil = U ) ))),
% 0.15/5.43 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/5.43 fof(f189,negated_conjecture,(
% 0.15/5.43 ssList(sk4) ),
% 0.15/5.43 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/5.43 fof(f190,negated_conjecture,(
% 0.15/5.43 sk2 = sk4 ),
% 0.15/5.43 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/5.43 fof(f191,negated_conjecture,(
% 0.15/5.43 sk1 = sk3 ),
% 0.15/5.43 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/5.43 fof(f192,negated_conjecture,(
% 0.15/5.43 ( nil = sk3| nil != sk4 ) ),
% 0.15/5.43 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/5.43 fof(f193,negated_conjecture,(
% 0.15/5.43 ( ssItem(sk5)| ~ neq(sk4,nil) ) ),
% 0.15/5.43 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/5.43 fof(f194,negated_conjecture,(
% 0.15/5.43 ( ssList(sk6)| ~ neq(sk4,nil) ) ),
% 0.15/5.43 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/5.43 fof(f195,negated_conjecture,(
% 0.15/5.43 ( app(cons(sk5,nil),sk6) = sk4| ~ neq(sk4,nil) ) ),
% 0.15/5.43 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/5.43 fof(f196,negated_conjecture,(
% 0.15/5.43 ( app(sk6,cons(sk5,nil)) = sk3| ~ neq(sk4,nil) ) ),
% 0.15/5.43 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/5.43 fof(f197,negated_conjecture,(
% 0.15/5.43 ( nil = sk2| neq(sk2,nil) ) ),
% 0.15/5.43 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/5.43 fof(f198,negated_conjecture,(
% 0.15/5.43 (![A,B]: (( nil = sk2| ~ ssItem(A)| ~ ssList(B)| app(cons(A,nil),B) != sk2| app(B,cons(A,nil)) != sk1 ) ))),
% 0.15/5.43 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/5.43 fof(f199,negated_conjecture,(
% 0.15/5.43 ( nil != sk1| neq(sk2,nil) ) ),
% 0.15/5.43 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/5.43 fof(f208,plain,(
% 0.15/5.43 ssList(nil)),
% 0.15/5.43 inference(cnf_transformation,[status(thm)],[f8])).
% 0.15/5.43 fof(f213,plain,(
% 0.15/5.43 ![X0]: (ssList(skaf82(X0)))),
% 0.15/5.43 inference(cnf_transformation,[status(thm)],[f13])).
% 0.15/5.43 fof(f214,plain,(
% 0.15/5.43 ![X0]: (ssList(skaf81(X0)))),
% 0.15/5.43 inference(cnf_transformation,[status(thm)],[f14])).
% 0.15/5.43 fof(f274,plain,(
% 0.15/5.43 ![X0]: (~ssList(X0)|app(X0,nil)=X0)),
% 0.15/5.43 inference(cnf_transformation,[status(thm)],[f73])).
% 0.15/5.43 fof(f275,plain,(
% 0.15/5.43 ![X0]: (~ssList(X0)|app(nil,X0)=X0)),
% 0.15/5.43 inference(cnf_transformation,[status(thm)],[f74])).
% 0.15/5.43 fof(f321,plain,(
% 0.15/5.43 ![U]: ((![V]: ((~U=V|~neq(U,V))|~ssList(V)))|~ssList(U))),
% 0.15/5.43 inference(miniscoping,[status(thm)],[f115])).
% 0.15/5.44 fof(f322,plain,(
% 0.15/5.44 ![X0,X1]: (~X0=X1|~neq(X0,X1)|~ssList(X1)|~ssList(X0))),
% 0.15/5.44 inference(cnf_transformation,[status(thm)],[f321])).
% 0.15/5.44 fof(f327,plain,(
% 0.15/5.44 ![U]: (((![V]: (~app(U,V)=nil|~ssList(V)))|~ssList(U))|nil=U)),
% 0.15/5.44 inference(miniscoping,[status(thm)],[f118])).
% 0.15/5.44 fof(f328,plain,(
% 0.15/5.44 ![X0,X1]: (~app(X0,X1)=nil|~ssList(X1)|~ssList(X0)|nil=X0)),
% 0.15/5.44 inference(cnf_transformation,[status(thm)],[f327])).
% 0.15/5.44 fof(f434,plain,(
% 0.15/5.44 ssList(sk4)),
% 0.15/5.44 inference(cnf_transformation,[status(thm)],[f189])).
% 0.15/5.44 fof(f435,plain,(
% 0.15/5.44 sk2=sk4),
% 0.15/5.44 inference(cnf_transformation,[status(thm)],[f190])).
% 0.15/5.44 fof(f436,plain,(
% 0.15/5.44 sk1=sk3),
% 0.15/5.44 inference(cnf_transformation,[status(thm)],[f191])).
% 0.15/5.44 fof(f437,plain,(
% 0.15/5.44 nil=sk3|~nil=sk4),
% 0.15/5.44 inference(cnf_transformation,[status(thm)],[f192])).
% 0.15/5.44 fof(f438,plain,(
% 0.15/5.44 ssItem(sk5)|~neq(sk4,nil)),
% 0.15/5.44 inference(cnf_transformation,[status(thm)],[f193])).
% 0.15/5.44 fof(f439,plain,(
% 0.15/5.44 ssList(sk6)|~neq(sk4,nil)),
% 0.15/5.44 inference(cnf_transformation,[status(thm)],[f194])).
% 0.15/5.44 fof(f440,plain,(
% 0.15/5.44 app(cons(sk5,nil),sk6)=sk4|~neq(sk4,nil)),
% 0.15/5.44 inference(cnf_transformation,[status(thm)],[f195])).
% 0.15/5.44 fof(f441,plain,(
% 0.15/5.44 app(sk6,cons(sk5,nil))=sk3|~neq(sk4,nil)),
% 0.15/5.44 inference(cnf_transformation,[status(thm)],[f196])).
% 0.15/5.44 fof(f442,plain,(
% 0.15/5.44 nil=sk2|neq(sk2,nil)),
% 0.15/5.44 inference(cnf_transformation,[status(thm)],[f197])).
% 0.15/5.44 fof(f443,plain,(
% 0.15/5.44 ![X0,X1]: (nil=sk2|~ssItem(X0)|~ssList(X1)|~app(cons(X0,nil),X1)=sk2|~app(X1,cons(X0,nil))=sk1)),
% 0.15/5.44 inference(cnf_transformation,[status(thm)],[f198])).
% 0.15/5.44 fof(f444,plain,(
% 0.15/5.44 ~nil=sk1|neq(sk2,nil)),
% 0.15/5.44 inference(cnf_transformation,[status(thm)],[f199])).
% 0.15/5.44 fof(f453,definition,(
% 0.15/5.44 sQ2_spl <=> (nil=sk3)),
% 0.15/5.44 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 0.15/5.44 fof(f454,plain,(
% 0.15/5.44 nil=sk3|~sQ2_spl),
% 0.15/5.44 inference(component_clause,[status(thm)],[f453])).
% 0.15/5.44 fof(f456,definition,(
% 0.15/5.44 sQ3_spl <=> (nil=sk4)),
% 0.15/5.44 introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition])).
% 0.15/5.44 fof(f457,plain,(
% 0.15/5.44 nil=sk4|~sQ3_spl),
% 0.15/5.44 inference(component_clause,[status(thm)],[f456])).
% 0.15/5.44 fof(f458,plain,(
% 0.15/5.44 ~nil=sk4|sQ3_spl),
% 0.15/5.44 inference(component_clause,[status(thm)],[f456])).
% 0.15/5.44 fof(f459,plain,(
% 0.15/5.44 sQ2_spl|~sQ3_spl),
% 0.15/5.44 inference(split_clause,[status(thm)],[f437,f453,f456])).
% 0.15/5.44 fof(f460,definition,(
% 0.15/5.44 sQ4_spl <=> (ssItem(sk5))),
% 0.15/5.44 introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition])).
% 0.15/5.44 fof(f463,definition,(
% 0.15/5.44 sQ5_spl <=> (neq(sk4,nil))),
% 0.15/5.44 introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition])).
% 0.15/5.44 fof(f465,plain,(
% 0.15/5.44 ~neq(sk4,nil)|sQ5_spl),
% 0.15/5.44 inference(component_clause,[status(thm)],[f463])).
% 0.15/5.44 fof(f466,plain,(
% 0.15/5.44 sQ4_spl|~sQ5_spl),
% 0.15/5.44 inference(split_clause,[status(thm)],[f438,f460,f463])).
% 0.15/5.44 fof(f467,definition,(
% 0.15/5.44 sQ6_spl <=> (ssList(sk6))),
% 0.15/5.44 introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition])).
% 0.15/5.44 fof(f470,plain,(
% 0.15/5.44 sQ6_spl|~sQ5_spl),
% 0.15/5.44 inference(split_clause,[status(thm)],[f439,f467,f463])).
% 0.15/5.44 fof(f471,definition,(
% 0.15/5.44 sQ7_spl <=> (app(cons(sk5,nil),sk6)=sk4)),
% 0.15/5.44 introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition])).
% 0.15/5.44 fof(f472,plain,(
% 0.15/5.44 app(cons(sk5,nil),sk6)=sk4|~sQ7_spl),
% 0.15/5.44 inference(component_clause,[status(thm)],[f471])).
% 0.15/5.44 fof(f474,plain,(
% 0.15/5.44 sQ7_spl|~sQ5_spl),
% 0.15/5.44 inference(split_clause,[status(thm)],[f440,f471,f463])).
% 0.15/5.44 fof(f475,definition,(
% 0.15/5.44 sQ8_spl <=> (app(sk6,cons(sk5,nil))=sk3)),
% 0.15/5.44 introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition])).
% 0.15/5.44 fof(f478,plain,(
% 0.15/5.44 sQ8_spl|~sQ5_spl),
% 0.15/5.44 inference(split_clause,[status(thm)],[f441,f475,f463])).
% 0.15/5.44 fof(f479,definition,(
% 0.15/5.44 sQ9_spl <=> (nil=sk2)),
% 0.15/5.44 introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition])).
% 0.15/5.44 fof(f480,plain,(
% 0.15/5.44 nil=sk2|~sQ9_spl),
% 0.15/5.44 inference(component_clause,[status(thm)],[f479])).
% 0.15/5.44 fof(f482,definition,(
% 0.15/5.44 sQ10_spl <=> (neq(sk2,nil))),
% 0.15/5.44 introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition])).
% 0.15/5.44 fof(f483,plain,(
% 0.15/5.44 neq(sk2,nil)|~sQ10_spl),
% 0.15/5.44 inference(component_clause,[status(thm)],[f482])).
% 0.15/5.44 fof(f485,plain,(
% 0.15/5.44 sQ9_spl|sQ10_spl),
% 0.15/5.44 inference(split_clause,[status(thm)],[f442,f479,f482])).
% 0.15/5.44 fof(f486,definition,(
% 0.15/5.44 ![X0,X1]: (sQ11_spl <=> (~ssItem(X0)|~ssList(X1)|~app(cons(X0,nil),X1)=sk2|~app(X1,cons(X0,nil))=sk1))),
% 0.15/5.44 introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition])).
% 0.15/5.44 fof(f487,plain,(
% 0.15/5.44 ![X0,X1]: (~ssItem(X0)|~ssList(X1)|~app(cons(X0,nil),X1)=sk2|~app(X1,cons(X0,nil))=sk1|~sQ11_spl)),
% 0.15/5.44 inference(component_clause,[status(thm)],[f486])).
% 0.15/5.44 fof(f489,plain,(
% 0.15/5.44 sQ9_spl|sQ11_spl),
% 0.15/5.44 inference(split_clause,[status(thm)],[f443,f479,f486])).
% 0.15/5.44 fof(f490,definition,(
% 0.15/5.44 sQ12_spl <=> (nil=sk1)),
% 0.15/5.44 introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition])).
% 0.15/5.44 fof(f492,plain,(
% 0.15/5.44 ~nil=sk1|sQ12_spl),
% 0.15/5.44 inference(component_clause,[status(thm)],[f490])).
% 0.15/5.44 fof(f493,plain,(
% 0.15/5.44 ~sQ12_spl|sQ10_spl),
% 0.15/5.44 inference(split_clause,[status(thm)],[f444,f490,f482])).
% 0.15/5.44 fof(f502,plain,(
% 0.15/5.44 ![X1]: (~neq(X1,X1)|~ssList(X1)|~ssList(X1))),
% 0.15/5.44 inference(destructive_equality_resolution,[status(thm)],[f322])).
% 0.15/5.44 fof(f503,plain,(
% 0.15/5.44 ![X0]: (~neq(X0,X0)|~ssList(X0))),
% 0.15/5.44 inference(duplicate_literals_removal,[status(thm)],[f502])).
% 0.15/5.44 fof(f526,plain,(
% 0.15/5.44 ~nil=sk3|sQ12_spl),
% 0.15/5.44 inference(forward_demodulation,[status(thm)],[f436,f492])).
% 0.15/5.44 fof(f527,plain,(
% 0.15/5.44 ~sk4=sk3|~sQ9_spl|sQ12_spl),
% 0.15/5.44 inference(backward_demodulation,[status(thm)],[f529,f526])).
% 0.15/5.44 fof(f529,plain,(
% 0.15/5.44 nil=sk4|~sQ9_spl),
% 0.15/5.44 inference(forward_demodulation,[status(thm)],[f435,f480])).
% 0.15/5.44 fof(f532,plain,(
% 0.15/5.44 sk4=sk3|~sQ9_spl|~sQ2_spl),
% 0.15/5.44 inference(forward_demodulation,[status(thm)],[f529,f454])).
% 0.15/5.44 fof(f533,plain,(
% 0.15/5.44 ~sk4=sk4|~sQ2_spl|~sQ9_spl|sQ12_spl),
% 0.15/5.44 inference(forward_demodulation,[status(thm)],[f532,f527])).
% 0.15/5.44 fof(f534,plain,(
% 0.15/5.44 $false|~sQ2_spl|~sQ9_spl|sQ12_spl),
% 0.15/5.44 inference(trivial_equality_resolution,[status(thm)],[f533])).
% 0.15/5.44 fof(f535,plain,(
% 0.15/5.44 ~sQ2_spl|~sQ9_spl|sQ12_spl),
% 0.15/5.44 inference(contradiction_clause,[status(thm)],[f534])).
% 0.15/5.44 fof(f536,plain,(
% 0.15/5.44 neq(sk4,nil)|~sQ10_spl),
% 0.15/5.44 inference(forward_demodulation,[status(thm)],[f435,f483])).
% 0.15/5.44 fof(f537,plain,(
% 0.15/5.44 ![X0,X1]: (~ssItem(X0)|~ssList(X1)|~app(cons(X0,nil),X1)=sk4|~app(X1,cons(X0,nil))=sk1|~sQ11_spl)),
% 0.15/5.44 inference(forward_demodulation,[status(thm)],[f435,f487])).
% 0.15/5.44 fof(f545,plain,(
% 0.15/5.44 app(nil,nil)=nil),
% 0.15/5.44 inference(resolution,[status(thm)],[f208,f275])).
% 0.15/5.44 fof(f548,plain,(
% 0.15/5.44 ![X0]: (app(skaf82(X0),nil)=skaf82(X0))),
% 0.15/5.44 inference(resolution,[status(thm)],[f213,f274])).
% 0.15/5.44 fof(f550,plain,(
% 0.15/5.44 ![X0]: (app(skaf81(X0),nil)=skaf81(X0))),
% 0.15/5.44 inference(resolution,[status(thm)],[f214,f274])).
% 0.15/5.44 fof(f551,plain,(
% 0.15/5.44 $false|sQ5_spl|~sQ10_spl),
% 0.15/5.44 inference(forward_subsumption_resolution,[status(thm)],[f536,f465])).
% 0.15/5.44 fof(f552,plain,(
% 0.15/5.44 sQ5_spl|~sQ10_spl),
% 0.15/5.44 inference(contradiction_clause,[status(thm)],[f551])).
% 0.15/5.44 fof(f553,plain,(
% 0.15/5.44 $false|sQ3_spl|~sQ9_spl),
% 0.15/5.44 inference(forward_subsumption_resolution,[status(thm)],[f529,f458])).
% 0.15/5.44 fof(f554,plain,(
% 0.15/5.44 sQ3_spl|~sQ9_spl),
% 0.15/5.44 inference(contradiction_clause,[status(thm)],[f553])).
% 0.15/5.44 fof(f605,plain,(
% 0.15/5.44 neq(sk4,sk4)|~sQ3_spl|~sQ10_spl),
% 0.15/5.44 inference(forward_demodulation,[status(thm)],[f457,f536])).
% 0.15/5.44 fof(f614,plain,(
% 0.15/5.44 ~ssList(sk4)|~sQ3_spl|~sQ10_spl),
% 0.15/5.44 inference(resolution,[status(thm)],[f503,f605])).
% 0.15/5.44 fof(f615,plain,(
% 0.15/5.44 $false|~sQ3_spl|~sQ10_spl),
% 0.15/5.44 inference(forward_subsumption_resolution,[status(thm)],[f614,f434])).
% 0.15/5.44 fof(f616,plain,(
% 0.15/5.44 ~sQ3_spl|~sQ10_spl),
% 0.15/5.44 inference(contradiction_clause,[status(thm)],[f615])).
% 0.15/5.44 fof(f916,plain,(
% 0.15/5.44 ~ssList(nil)|~ssList(nil)|nil=nil),
% 0.15/5.44 inference(resolution,[status(thm)],[f328,f545])).
% 0.15/5.44 fof(f917,plain,(
% 0.15/5.44 ![X0]: (~skaf81(X0)=nil|~ssList(nil)|~ssList(skaf81(X0))|nil=skaf81(X0))),
% 0.15/5.44 inference(paramodulation,[status(thm)],[f550,f328])).
% 0.15/5.44 fof(f918,plain,(
% 0.15/5.44 ![X0]: (~skaf82(X0)=nil|~ssList(nil)|~ssList(skaf82(X0))|nil=skaf82(X0))),
% 0.15/5.44 inference(paramodulation,[status(thm)],[f548,f328])).
% 0.15/5.44 fof(f930,definition,(
% 0.15/5.44 sQ13_spl <=> (ssList(nil))),
% 0.15/5.44 introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition])).
% 0.15/5.44 fof(f932,plain,(
% 0.15/5.44 ~ssList(nil)|sQ13_spl),
% 0.15/5.44 inference(component_clause,[status(thm)],[f930])).
% 0.15/5.44 fof(f933,definition,(
% 0.15/5.44 sQ14_spl <=> (nil=nil)),
% 0.15/5.44 introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition])).
% 0.15/5.44 fof(f936,plain,(
% 0.15/5.44 ~sQ13_spl|sQ14_spl),
% 0.15/5.44 inference(split_clause,[status(thm)],[f916,f930,f933])).
% 0.15/5.44 fof(f937,definition,(
% 0.15/5.44 ![X0]: (sQ15_spl <=> (~skaf81(X0)=nil|~ssList(skaf81(X0))|nil=skaf81(X0)))),
% 0.15/5.44 introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition])).
% 0.15/5.44 fof(f940,plain,(
% 0.15/5.44 sQ15_spl|~sQ13_spl),
% 0.15/5.44 inference(split_clause,[status(thm)],[f917,f937,f930])).
% 0.15/5.44 fof(f941,definition,(
% 0.15/5.44 ![X0]: (sQ16_spl <=> (~skaf82(X0)=nil|~ssList(skaf82(X0))|nil=skaf82(X0)))),
% 0.15/5.44 introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition])).
% 0.15/5.44 fof(f944,plain,(
% 0.15/5.44 sQ16_spl|~sQ13_spl),
% 0.15/5.44 inference(split_clause,[status(thm)],[f918,f941,f930])).
% 0.15/5.44 fof(f977,plain,(
% 0.15/5.44 $false|sQ13_spl),
% 0.15/5.44 inference(forward_subsumption_resolution,[status(thm)],[f932,f208])).
% 0.15/5.44 fof(f978,plain,(
% 0.15/5.44 sQ13_spl),
% 0.15/5.44 inference(contradiction_clause,[status(thm)],[f977])).
% 0.15/5.44 fof(f1159,plain,(
% 0.15/5.44 ![X0,X1]: (~ssItem(X0)|~ssList(X1)|~app(cons(X0,nil),X1)=sk4|~app(X1,cons(X0,nil))=sk3|~sQ11_spl)),
% 0.15/5.44 inference(forward_demodulation,[status(thm)],[f436,f537])).
% 0.15/5.44 fof(f1160,plain,(
% 0.15/5.44 ~ssItem(sk5)|~ssList(sk6)|~app(sk6,cons(sk5,nil))=sk3|~sQ11_spl|~sQ7_spl),
% 0.15/5.44 inference(resolution,[status(thm)],[f1159,f472])).
% 0.15/5.44 fof(f1162,plain,(
% 0.15/5.44 ~sQ4_spl|~sQ6_spl|~sQ8_spl|~sQ11_spl|~sQ7_spl),
% 0.15/5.44 inference(split_clause,[status(thm)],[f1160,f460,f467,f475,f486,f471])).
% 0.15/5.44 fof(f1167,plain,(
% 0.15/5.44 $false),
% 0.15/5.44 inference(sat_refutation,[status(thm)],[f459,f466,f470,f474,f478,f485,f489,f493,f535,f552,f554,f616,f936,f940,f944,f978,f1162])).
% 0.15/5.44 % SZS output end CNFRefutation for theBenchmark.p
% 0.15/5.46 % Elapsed time: 0.065000 seconds
% 0.15/5.46 % CPU time: 0.240192 seconds
% 0.15/5.46 % Total memory used: 110.410 MB
% 0.15/5.46 % Net memory used: 110.225 MB
%------------------------------------------------------------------------------