%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SWC322-1 : 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 : n020.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 02:42:09 PM UTC 2026
% Result : Unsatisfiable 0.21s 0.64s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SWC322-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.06 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.15/0.46 % Computer : n020.cluster.edu
% 0.15/0.46 % Model : x86_64 x86_64
% 0.15/0.46 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.46 % Memory : 8046.5625MB
% 0.15/0.46 % OS : Linux 6.8.0-71-generic
% 0.15/0.46 % CPULimit : 300
% 0.15/0.46 % WCLimit : 300
% 0.15/0.46 % DateTime : Mon Sep 21 08:16:02 UTC 2026
% 0.15/0.47 % CPUTime :
% 0.15/0.52 % Drodi V4.1.1
% 0.21/0.64 % Refutation found
% 0.21/0.64 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.21/0.64 % SZS output start CNFRefutation for theBenchmark
% 0.21/0.64 fof(f8,axiom,(
% 0.21/0.64 ssList(nil) ),
% 0.21/0.64 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.21/0.64 fof(f73,axiom,(
% 0.21/0.64 (![U]: (( ~ ssList(U)| app(U,nil) = U ) ))),
% 0.21/0.64 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.21/0.64 fof(f74,axiom,(
% 0.21/0.64 (![U]: (( ~ ssList(U)| app(nil,U) = U ) ))),
% 0.21/0.64 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.21/0.64 fof(f86,axiom,(
% 0.21/0.64 (![U,V]: (( ~ ssItem(U)| ~ ssList(V)| ssList(cons(U,V)) ) ))),
% 0.21/0.64 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.21/0.64 fof(f145,axiom,(
% 0.21/0.64 (![U,V]: (( nil != U| nil != V| ~ ssList(V)| ~ ssList(U)| app(U,V) = nil ) ))),
% 0.21/0.64 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.21/0.64 fof(f150,axiom,(
% 0.21/0.64 (![U,V,W]: (( app(U,V) != app(U,W)| ~ ssList(V)| ~ ssList(U)| ~ ssList(W)| V = W ) ))),
% 0.21/0.64 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.21/0.64 fof(f151,axiom,(
% 0.21/0.64 (![U,V,W]: (( app(U,V) != app(W,V)| ~ ssList(U)| ~ ssList(V)| ~ ssList(W)| U = W ) ))),
% 0.21/0.64 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.21/0.64 fof(f188,negated_conjecture,(
% 0.21/0.64 ssList(sk3) ),
% 0.21/0.64 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.21/0.64 fof(f190,negated_conjecture,(
% 0.21/0.64 sk2 = sk4 ),
% 0.21/0.64 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.21/0.64 fof(f191,negated_conjecture,(
% 0.21/0.64 sk1 = sk3 ),
% 0.21/0.64 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.21/0.64 fof(f192,negated_conjecture,(
% 0.21/0.64 (![A,B]: (( ~ ssItem(A)| ~ ssList(B)| app(cons(A,nil),B) = sk3| app(B,cons(A,nil)) != sk4 ) ))),
% 0.21/0.64 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.21/0.64 fof(f193,negated_conjecture,(
% 0.21/0.64 ( nil = sk3| nil != sk4 ) ),
% 0.21/0.64 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.21/0.64 fof(f194,negated_conjecture,(
% 0.21/0.64 ( ssItem(sk5)| nil = sk2 ) ),
% 0.21/0.64 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.21/0.64 fof(f195,negated_conjecture,(
% 0.21/0.64 ( ssItem(sk5)| nil != sk1 ) ),
% 0.21/0.64 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.21/0.64 fof(f196,negated_conjecture,(
% 0.21/0.64 ( ssList(sk6)| nil = sk2 ) ),
% 0.21/0.64 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.21/0.64 fof(f197,negated_conjecture,(
% 0.21/0.64 ( app(sk6,cons(sk5,nil)) = sk2| nil = sk2 ) ),
% 0.21/0.64 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.21/0.64 fof(f198,negated_conjecture,(
% 0.21/0.64 ( app(cons(sk5,nil),sk6) != sk1| nil = sk2 ) ),
% 0.21/0.64 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.21/0.64 fof(f199,negated_conjecture,(
% 0.21/0.64 ( ssList(sk6)| nil != sk1 ) ),
% 0.21/0.64 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.21/0.64 fof(f200,negated_conjecture,(
% 0.21/0.64 ( app(sk6,cons(sk5,nil)) = sk2| nil != sk1 ) ),
% 0.21/0.64 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.21/0.64 fof(f201,negated_conjecture,(
% 0.21/0.64 ( app(cons(sk5,nil),sk6) != sk1| nil != sk1 ) ),
% 0.21/0.64 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.21/0.64 fof(f209,plain,(
% 0.21/0.64 ssList(nil)),
% 0.21/0.64 inference(cnf_transformation,[status(thm)],[f8])).
% 0.21/0.64 fof(f275,plain,(
% 0.21/0.64 ![X0]: (~ssList(X0)|app(X0,nil)=X0)),
% 0.21/0.64 inference(cnf_transformation,[status(thm)],[f73])).
% 0.21/0.64 fof(f276,plain,(
% 0.21/0.64 ![X0]: (~ssList(X0)|app(nil,X0)=X0)),
% 0.21/0.64 inference(cnf_transformation,[status(thm)],[f74])).
% 0.21/0.64 fof(f288,plain,(
% 0.21/0.64 ![X0,X1]: (~ssItem(X0)|~ssList(X1)|ssList(cons(X0,X1)))),
% 0.21/0.64 inference(cnf_transformation,[status(thm)],[f86])).
% 0.21/0.64 fof(f363,plain,(
% 0.21/0.64 ![X0,X1]: (~nil=X0|~nil=X1|~ssList(X1)|~ssList(X0)|app(X0,X1)=nil)),
% 0.21/0.64 inference(cnf_transformation,[status(thm)],[f145])).
% 0.21/0.64 fof(f371,plain,(
% 0.21/0.64 ![V,W]: (((![U]: ((~app(U,V)=app(U,W)|~ssList(V))|~ssList(U)))|~ssList(W))|V=W)),
% 0.21/0.64 inference(miniscoping,[status(thm)],[f150])).
% 0.21/0.64 fof(f372,plain,(
% 0.21/0.64 ![X0,X1,X2]: (~app(X0,X1)=app(X0,X2)|~ssList(X1)|~ssList(X0)|~ssList(X2)|X1=X2)),
% 0.21/0.64 inference(cnf_transformation,[status(thm)],[f371])).
% 0.21/0.64 fof(f373,plain,(
% 0.21/0.64 ![U,W]: (((![V]: ((~app(U,V)=app(W,V)|~ssList(U))|~ssList(V)))|~ssList(W))|U=W)),
% 0.21/0.64 inference(miniscoping,[status(thm)],[f151])).
% 0.21/0.64 fof(f374,plain,(
% 0.21/0.64 ![X0,X1,X2]: (~app(X0,X1)=app(X2,X1)|~ssList(X0)|~ssList(X1)|~ssList(X2)|X0=X2)),
% 0.21/0.64 inference(cnf_transformation,[status(thm)],[f373])).
% 0.21/0.64 fof(f434,plain,(
% 0.21/0.64 ssList(sk3)),
% 0.21/0.64 inference(cnf_transformation,[status(thm)],[f188])).
% 0.21/0.64 fof(f436,plain,(
% 0.21/0.64 sk2=sk4),
% 0.21/0.64 inference(cnf_transformation,[status(thm)],[f190])).
% 0.21/0.64 fof(f437,plain,(
% 0.21/0.64 sk1=sk3),
% 0.21/0.64 inference(cnf_transformation,[status(thm)],[f191])).
% 0.21/0.64 fof(f438,plain,(
% 0.21/0.64 ![X0,X1]: (~ssItem(X0)|~ssList(X1)|app(cons(X0,nil),X1)=sk3|~app(X1,cons(X0,nil))=sk4)),
% 0.21/0.64 inference(cnf_transformation,[status(thm)],[f192])).
% 0.21/0.64 fof(f439,plain,(
% 0.21/0.64 nil=sk3|~nil=sk4),
% 0.21/0.64 inference(cnf_transformation,[status(thm)],[f193])).
% 0.21/0.64 fof(f440,plain,(
% 0.21/0.64 ssItem(sk5)|nil=sk2),
% 0.21/0.64 inference(cnf_transformation,[status(thm)],[f194])).
% 0.21/0.64 fof(f441,plain,(
% 0.21/0.64 ssItem(sk5)|~nil=sk1),
% 0.21/0.64 inference(cnf_transformation,[status(thm)],[f195])).
% 0.21/0.64 fof(f442,plain,(
% 0.21/0.64 ssList(sk6)|nil=sk2),
% 0.21/0.64 inference(cnf_transformation,[status(thm)],[f196])).
% 0.21/0.64 fof(f443,plain,(
% 0.21/0.64 app(sk6,cons(sk5,nil))=sk2|nil=sk2),
% 0.21/0.64 inference(cnf_transformation,[status(thm)],[f197])).
% 0.21/0.64 fof(f444,plain,(
% 0.21/0.64 ~app(cons(sk5,nil),sk6)=sk1|nil=sk2),
% 0.21/0.64 inference(cnf_transformation,[status(thm)],[f198])).
% 0.21/0.64 fof(f445,plain,(
% 0.21/0.64 ssList(sk6)|~nil=sk1),
% 0.21/0.64 inference(cnf_transformation,[status(thm)],[f199])).
% 0.21/0.64 fof(f446,plain,(
% 0.21/0.64 app(sk6,cons(sk5,nil))=sk2|~nil=sk1),
% 0.21/0.64 inference(cnf_transformation,[status(thm)],[f200])).
% 0.21/0.64 fof(f447,plain,(
% 0.21/0.64 ~app(cons(sk5,nil),sk6)=sk1|~nil=sk1),
% 0.21/0.64 inference(cnf_transformation,[status(thm)],[f201])).
% 0.21/0.64 fof(f455,definition,(
% 0.21/0.64 sQ2_spl <=> (nil=sk3)),
% 0.21/0.64 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 0.21/0.64 fof(f456,plain,(
% 0.21/0.64 nil=sk3|~sQ2_spl),
% 0.21/0.64 inference(component_clause,[status(thm)],[f455])).
% 0.21/0.64 fof(f458,definition,(
% 0.21/0.64 sQ3_spl <=> (nil=sk4)),
% 0.21/0.64 introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition])).
% 0.21/0.64 fof(f460,plain,(
% 0.21/0.64 ~nil=sk4|sQ3_spl),
% 0.21/0.64 inference(component_clause,[status(thm)],[f458])).
% 0.21/0.64 fof(f461,plain,(
% 0.21/0.64 sQ2_spl|~sQ3_spl),
% 0.21/0.64 inference(split_clause,[status(thm)],[f439,f455,f458])).
% 0.21/0.64 fof(f462,definition,(
% 0.21/0.64 sQ4_spl <=> (ssItem(sk5))),
% 0.21/0.64 introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition])).
% 0.21/0.64 fof(f465,definition,(
% 0.21/0.64 sQ5_spl <=> (nil=sk2)),
% 0.21/0.64 introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition])).
% 0.21/0.64 fof(f466,plain,(
% 0.21/0.64 nil=sk2|~sQ5_spl),
% 0.21/0.64 inference(component_clause,[status(thm)],[f465])).
% 0.21/0.64 fof(f468,plain,(
% 0.21/0.64 sQ4_spl|sQ5_spl),
% 0.21/0.64 inference(split_clause,[status(thm)],[f440,f462,f465])).
% 0.21/0.64 fof(f469,definition,(
% 0.21/0.64 sQ6_spl <=> (nil=sk1)),
% 0.21/0.64 introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition])).
% 0.21/0.64 fof(f471,plain,(
% 0.21/0.64 ~nil=sk1|sQ6_spl),
% 0.21/0.64 inference(component_clause,[status(thm)],[f469])).
% 0.21/0.64 fof(f472,plain,(
% 0.21/0.64 sQ4_spl|~sQ6_spl),
% 0.21/0.64 inference(split_clause,[status(thm)],[f441,f462,f469])).
% 0.21/0.64 fof(f473,definition,(
% 0.21/0.64 sQ7_spl <=> (ssList(sk6))),
% 0.21/0.64 introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition])).
% 0.21/0.64 fof(f476,plain,(
% 0.21/0.64 sQ7_spl|sQ5_spl),
% 0.21/0.64 inference(split_clause,[status(thm)],[f442,f473,f465])).
% 0.21/0.64 fof(f477,definition,(
% 0.21/0.64 sQ8_spl <=> (app(sk6,cons(sk5,nil))=sk2)),
% 0.21/0.64 introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition])).
% 0.21/0.64 fof(f478,plain,(
% 0.21/0.64 app(sk6,cons(sk5,nil))=sk2|~sQ8_spl),
% 0.21/0.64 inference(component_clause,[status(thm)],[f477])).
% 0.21/0.64 fof(f480,plain,(
% 0.21/0.64 sQ8_spl|sQ5_spl),
% 0.21/0.64 inference(split_clause,[status(thm)],[f443,f477,f465])).
% 0.21/0.64 fof(f481,definition,(
% 0.21/0.64 sQ9_spl <=> (app(cons(sk5,nil),sk6)=sk1)),
% 0.21/0.64 introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition])).
% 0.21/0.64 fof(f483,plain,(
% 0.21/0.64 ~app(cons(sk5,nil),sk6)=sk1|sQ9_spl),
% 0.21/0.64 inference(component_clause,[status(thm)],[f481])).
% 0.21/0.64 fof(f484,plain,(
% 0.21/0.64 ~sQ9_spl|sQ5_spl),
% 0.21/0.64 inference(split_clause,[status(thm)],[f444,f481,f465])).
% 0.21/0.64 fof(f485,plain,(
% 0.21/0.64 sQ7_spl|~sQ6_spl),
% 0.21/0.64 inference(split_clause,[status(thm)],[f445,f473,f469])).
% 0.21/0.64 fof(f486,plain,(
% 0.21/0.64 sQ8_spl|~sQ6_spl),
% 0.21/0.64 inference(split_clause,[status(thm)],[f446,f477,f469])).
% 0.21/0.64 fof(f487,plain,(
% 0.21/0.64 ~sQ9_spl|~sQ6_spl),
% 0.21/0.64 inference(split_clause,[status(thm)],[f447,f481,f469])).
% 0.21/0.64 fof(f504,plain,(
% 0.21/0.64 ~ssList(nil)|~ssList(nil)|app(nil,nil)=nil),
% 0.21/0.64 inference(destructive_equality_resolution,[status(thm)],[f363])).
% 0.21/0.64 fof(f505,plain,(
% 0.21/0.64 ~ssList(nil)|app(nil,nil)=nil),
% 0.21/0.64 inference(duplicate_literals_removal,[status(thm)],[f504])).
% 0.21/0.64 fof(f519,plain,(
% 0.21/0.64 ~nil=sk3|sQ6_spl),
% 0.21/0.64 inference(forward_demodulation,[status(thm)],[f437,f471])).
% 0.21/0.64 fof(f520,plain,(
% 0.21/0.64 ~sk4=sk3|~sQ5_spl|sQ6_spl),
% 0.21/0.64 inference(backward_demodulation,[status(thm)],[f522,f519])).
% 0.21/0.64 fof(f522,plain,(
% 0.21/0.64 nil=sk4|~sQ5_spl),
% 0.21/0.64 inference(forward_demodulation,[status(thm)],[f436,f466])).
% 0.21/0.64 fof(f523,plain,(
% 0.21/0.64 sk3=sk4|~sQ2_spl|~sQ5_spl),
% 0.21/0.64 inference(backward_demodulation,[status(thm)],[f456,f522])).
% 0.21/0.64 fof(f540,plain,(
% 0.21/0.64 $false|sQ6_spl|~sQ2_spl|~sQ5_spl),
% 0.21/0.64 inference(forward_subsumption_resolution,[status(thm)],[f523,f520])).
% 0.21/0.64 fof(f541,plain,(
% 0.21/0.64 sQ6_spl|~sQ2_spl|~sQ5_spl),
% 0.21/0.64 inference(contradiction_clause,[status(thm)],[f540])).
% 0.21/0.64 fof(f542,plain,(
% 0.21/0.64 app(sk6,cons(sk5,nil))=sk4|~sQ8_spl),
% 0.21/0.64 inference(forward_demodulation,[status(thm)],[f436,f478])).
% 0.21/0.64 fof(f543,plain,(
% 0.21/0.64 ~app(cons(sk5,nil),sk6)=sk3|sQ9_spl),
% 0.21/0.64 inference(forward_demodulation,[status(thm)],[f437,f483])).
% 0.21/0.64 fof(f545,plain,(
% 0.21/0.64 app(nil,nil)=nil),
% 0.21/0.64 inference(resolution,[status(thm)],[f276,f209])).
% 0.21/0.64 fof(f549,plain,(
% 0.21/0.64 app(nil,sk3)=sk3),
% 0.21/0.64 inference(resolution,[status(thm)],[f276,f434])).
% 0.21/0.64 fof(f555,definition,(
% 0.21/0.64 sQ10_spl <=> (ssList(nil))),
% 0.21/0.64 introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition])).
% 0.21/0.64 fof(f557,plain,(
% 0.21/0.64 ~ssList(nil)|sQ10_spl),
% 0.21/0.64 inference(component_clause,[status(thm)],[f555])).
% 0.21/0.64 fof(f565,definition,(
% 0.21/0.64 sQ12_spl <=> (ssList(sk3))),
% 0.21/0.64 introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition])).
% 0.21/0.64 fof(f567,plain,(
% 0.21/0.64 ~ssList(sk3)|sQ12_spl),
% 0.21/0.64 inference(component_clause,[status(thm)],[f565])).
% 0.21/0.64 fof(f569,plain,(
% 0.21/0.64 ~ssItem(sk5)|~ssList(sk6)|app(cons(sk5,nil),sk6)=sk3|~sQ8_spl),
% 0.21/0.64 inference(resolution,[status(thm)],[f542,f438])).
% 0.21/0.64 fof(f572,definition,(
% 0.21/0.64 sQ13_spl <=> (app(cons(sk5,nil),sk6)=sk3)),
% 0.21/0.64 introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition])).
% 0.21/0.64 fof(f573,plain,(
% 0.21/0.64 app(cons(sk5,nil),sk6)=sk3|~sQ13_spl),
% 0.21/0.64 inference(component_clause,[status(thm)],[f572])).
% 0.21/0.64 fof(f575,plain,(
% 0.21/0.64 ~sQ4_spl|~sQ7_spl|sQ13_spl|~sQ8_spl),
% 0.21/0.64 inference(split_clause,[status(thm)],[f569,f462,f473,f572,f477])).
% 0.21/0.64 fof(f580,definition,(
% 0.21/0.64 sQ15_spl <=> (ssList(cons(sk5,nil)))),
% 0.21/0.64 introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition])).
% 0.21/0.64 fof(f582,plain,(
% 0.21/0.64 ~ssList(cons(sk5,nil))|sQ15_spl),
% 0.21/0.64 inference(component_clause,[status(thm)],[f580])).
% 0.21/0.64 fof(f586,plain,(
% 0.21/0.64 ~ssItem(sk5)|~ssList(nil)|sQ15_spl),
% 0.21/0.64 inference(resolution,[status(thm)],[f582,f288])).
% 0.21/0.64 fof(f587,plain,(
% 0.21/0.64 ~sQ4_spl|~sQ10_spl|sQ15_spl),
% 0.21/0.64 inference(split_clause,[status(thm)],[f586,f462,f555,f580])).
% 0.21/0.64 fof(f588,plain,(
% 0.21/0.64 $false|sQ10_spl),
% 0.21/0.64 inference(forward_subsumption_resolution,[status(thm)],[f557,f209])).
% 0.21/0.64 fof(f589,plain,(
% 0.21/0.64 sQ10_spl),
% 0.21/0.64 inference(contradiction_clause,[status(thm)],[f588])).
% 0.21/0.64 fof(f590,plain,(
% 0.21/0.64 $false|sQ3_spl|~sQ5_spl),
% 0.21/0.64 inference(forward_subsumption_resolution,[status(thm)],[f522,f460])).
% 0.21/0.64 fof(f591,plain,(
% 0.21/0.64 sQ3_spl|~sQ5_spl),
% 0.21/0.64 inference(contradiction_clause,[status(thm)],[f590])).
% 0.21/0.64 fof(f813,definition,(
% 0.21/0.64 sQ23_spl <=> (app(nil,nil)=nil)),
% 0.21/0.64 introduced(definition,[new_symbols(definition,[sQ23_spl])],[split_symbol_definition])).
% 0.21/0.64 fof(f816,plain,(
% 0.21/0.64 ~sQ10_spl|sQ23_spl),
% 0.21/0.64 inference(split_clause,[status(thm)],[f505,f555,f813])).
% 0.21/0.64 fof(f937,plain,(
% 0.21/0.64 ![X0]: (~app(nil,X0)=nil|~ssList(X0)|~ssList(nil)|~ssList(nil)|X0=nil)),
% 0.21/0.64 inference(paramodulation,[status(thm)],[f545,f372])).
% 0.21/0.64 fof(f940,definition,(
% 0.21/0.64 ![X0]: (sQ28_spl <=> (~app(nil,X0)=nil|~ssList(X0)|X0=nil))),
% 0.21/0.64 introduced(definition,[new_symbols(definition,[sQ28_spl])],[split_symbol_definition])).
% 0.21/0.64 fof(f943,plain,(
% 0.21/0.64 sQ28_spl|~sQ10_spl),
% 0.21/0.64 inference(split_clause,[status(thm)],[f937,f940,f555])).
% 0.21/0.64 fof(f946,plain,(
% 0.21/0.64 ![X0]: (~app(nil,X0)=sk3|~ssList(X0)|~ssList(nil)|~ssList(sk3)|X0=sk3)),
% 0.21/0.64 inference(paramodulation,[status(thm)],[f549,f372])).
% 0.21/0.64 fof(f949,definition,(
% 0.21/0.64 ![X0]: (sQ29_spl <=> (~app(nil,X0)=sk3|~ssList(X0)|X0=sk3))),
% 0.21/0.64 introduced(definition,[new_symbols(definition,[sQ29_spl])],[split_symbol_definition])).
% 0.21/0.64 fof(f952,plain,(
% 0.21/0.64 sQ29_spl|~sQ10_spl|~sQ12_spl),
% 0.21/0.64 inference(split_clause,[status(thm)],[f946,f949,f555,f565])).
% 0.21/0.64 fof(f966,plain,(
% 0.21/0.65 ![X0]: (~sk3=app(X0,sk3)|~ssList(nil)|~ssList(sk3)|~ssList(X0)|nil=X0)),
% 0.21/0.65 inference(paramodulation,[status(thm)],[f549,f374])).
% 0.21/0.65 fof(f967,plain,(
% 0.21/0.65 ![X0]: (~nil=app(X0,nil)|~ssList(nil)|~ssList(nil)|~ssList(X0)|nil=X0)),
% 0.21/0.65 inference(paramodulation,[status(thm)],[f545,f374])).
% 0.21/0.65 fof(f983,definition,(
% 0.21/0.65 ![X0]: (sQ33_spl <=> (~sk3=app(X0,sk3)|~ssList(X0)|nil=X0))),
% 0.21/0.65 introduced(definition,[new_symbols(definition,[sQ33_spl])],[split_symbol_definition])).
% 0.21/0.65 fof(f986,plain,(
% 0.21/0.65 sQ33_spl|~sQ10_spl|~sQ12_spl),
% 0.21/0.65 inference(split_clause,[status(thm)],[f966,f983,f555,f565])).
% 0.21/0.65 fof(f987,definition,(
% 0.21/0.65 ![X0]: (sQ34_spl <=> (~nil=app(X0,nil)|~ssList(X0)|nil=X0))),
% 0.21/0.65 introduced(definition,[new_symbols(definition,[sQ34_spl])],[split_symbol_definition])).
% 0.21/0.65 fof(f990,plain,(
% 0.21/0.65 sQ34_spl|~sQ10_spl),
% 0.21/0.65 inference(split_clause,[status(thm)],[f967,f987,f555])).
% 0.21/0.65 fof(f1085,plain,(
% 0.21/0.65 app(sk3,nil)=sk3),
% 0.21/0.65 inference(resolution,[status(thm)],[f275,f434])).
% 0.21/0.65 fof(f1118,plain,(
% 0.21/0.65 ![X0]: (~app(X0,nil)=sk3|~ssList(X0)|~ssList(nil)|~ssList(sk3)|X0=sk3)),
% 0.21/0.65 inference(paramodulation,[status(thm)],[f1085,f374])).
% 0.21/0.65 fof(f1120,plain,(
% 0.21/0.65 ![X0]: (~app(sk3,X0)=sk3|~ssList(X0)|~ssList(sk3)|~ssList(nil)|X0=nil)),
% 0.21/0.65 inference(paramodulation,[status(thm)],[f1085,f372])).
% 0.21/0.65 fof(f1123,definition,(
% 0.21/0.65 ![X0]: (sQ40_spl <=> (~app(X0,nil)=sk3|~ssList(X0)|X0=sk3))),
% 0.21/0.65 introduced(definition,[new_symbols(definition,[sQ40_spl])],[split_symbol_definition])).
% 0.21/0.65 fof(f1126,plain,(
% 0.21/0.65 sQ40_spl|~sQ10_spl|~sQ12_spl),
% 0.21/0.65 inference(split_clause,[status(thm)],[f1118,f1123,f555,f565])).
% 0.21/0.65 fof(f1128,definition,(
% 0.21/0.65 ![X0]: (sQ41_spl <=> (~app(sk3,X0)=sk3|~ssList(X0)|X0=nil))),
% 0.21/0.65 introduced(definition,[new_symbols(definition,[sQ41_spl])],[split_symbol_definition])).
% 0.21/0.65 fof(f1131,plain,(
% 0.21/0.65 sQ41_spl|~sQ12_spl|~sQ10_spl),
% 0.21/0.65 inference(split_clause,[status(thm)],[f1120,f1128,f565,f555])).
% 0.21/0.65 fof(f1134,plain,(
% 0.21/0.65 $false|sQ12_spl),
% 0.21/0.65 inference(forward_subsumption_resolution,[status(thm)],[f567,f434])).
% 0.21/0.65 fof(f1135,plain,(
% 0.21/0.65 sQ12_spl),
% 0.21/0.65 inference(contradiction_clause,[status(thm)],[f1134])).
% 0.21/0.65 fof(f1359,plain,(
% 0.21/0.65 $false|sQ9_spl|~sQ13_spl),
% 0.21/0.65 inference(forward_subsumption_resolution,[status(thm)],[f573,f543])).
% 0.21/0.65 fof(f1360,plain,(
% 0.21/0.65 sQ9_spl|~sQ13_spl),
% 0.21/0.65 inference(contradiction_clause,[status(thm)],[f1359])).
% 0.21/0.65 fof(f1361,plain,(
% 0.21/0.65 $false),
% 0.21/0.65 inference(sat_refutation,[status(thm)],[f461,f468,f472,f476,f480,f484,f485,f486,f487,f541,f575,f587,f589,f591,f816,f943,f952,f986,f990,f1126,f1131,f1135,f1360])).
% 0.21/0.65 % SZS output end CNFRefutation for theBenchmark.p
% 0.21/0.68 % Elapsed time: 0.183996 seconds
% 0.21/0.68 % CPU time: 0.829303 seconds
% 0.21/0.68 % Total memory used: 95.531 MB
% 0.21/0.68 % Net memory used: 94.554 MB
%------------------------------------------------------------------------------