%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SWC325-1 : 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 : n015.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 02:42:10 PM UTC 2026
% Result : Unsatisfiable 0.22s 5.77s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SWC325-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.06 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.16/5.67 % Computer : n015.cluster.edu
% 0.16/5.67 % Model : x86_64 x86_64
% 0.16/5.67 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/5.67 % Memory : 8046.5625MB
% 0.16/5.67 % OS : Linux 6.8.0-71-generic
% 0.16/5.67 % CPULimit : 300
% 0.16/5.67 % WCLimit : 300
% 0.16/5.67 % DateTime : Mon Sep 21 08:18:56 UTC 2026
% 0.16/5.67 % CPUTime :
% 0.16/5.70 % Drodi V4.1.1
% 0.22/5.77 % Refutation found
% 0.22/5.77 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.22/5.77 % SZS output start CNFRefutation for theBenchmark
% 0.22/5.77 fof(f8,axiom,(
% 0.22/5.77 ssList(nil) ),
% 0.22/5.77 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.22/5.77 fof(f73,axiom,(
% 0.22/5.77 (![U]: (( ~ ssList(U)| app(U,nil) = U ) ))),
% 0.22/5.77 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.22/5.77 fof(f74,axiom,(
% 0.22/5.77 (![U]: (( ~ ssList(U)| app(nil,U) = U ) ))),
% 0.22/5.77 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.22/5.77 fof(f86,axiom,(
% 0.22/5.77 (![U,V]: (( ~ ssItem(U)| ~ ssList(V)| ssList(cons(U,V)) ) ))),
% 0.22/5.77 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.22/5.77 fof(f100,axiom,(
% 0.22/5.77 (![U,V]: (( ~ ssList(U)| ~ ssList(V)| neq(V,U)| V = U ) ))),
% 0.22/5.77 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.22/5.77 fof(f118,axiom,(
% 0.22/5.77 (![U,V]: (( app(U,V) != nil| ~ ssList(V)| ~ ssList(U)| nil = U ) ))),
% 0.22/5.77 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.22/5.77 fof(f145,axiom,(
% 0.22/5.77 (![U,V]: (( nil != U| nil != V| ~ ssList(V)| ~ ssList(U)| app(U,V) = nil ) ))),
% 0.22/5.77 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.22/5.77 fof(f186,negated_conjecture,(
% 0.22/5.77 ssList(sk1) ),
% 0.22/5.77 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.22/5.77 fof(f187,negated_conjecture,(
% 0.22/5.77 ssList(sk2) ),
% 0.22/5.77 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.22/5.77 fof(f190,negated_conjecture,(
% 0.22/5.77 sk2 = sk4 ),
% 0.22/5.77 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.22/5.77 fof(f191,negated_conjecture,(
% 0.22/5.77 sk1 = sk3 ),
% 0.22/5.77 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.22/5.77 fof(f192,negated_conjecture,(
% 0.22/5.77 (![A,B]: (( ~ ssList(A)| ~ ssList(B)| app(A,B) != sk2| app(B,A) != sk1 ) ))),
% 0.22/5.77 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.22/5.77 fof(f193,negated_conjecture,(
% 0.22/5.77 ( nil = sk3| nil != sk4 ) ),
% 0.22/5.77 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.22/5.77 fof(f194,negated_conjecture,(
% 0.22/5.77 ( ssItem(sk5)| ~ neq(sk4,nil) ) ),
% 0.22/5.77 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.22/5.77 fof(f195,negated_conjecture,(
% 0.22/5.77 ( ssList(sk6)| ~ neq(sk4,nil) ) ),
% 0.22/5.77 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.22/5.77 fof(f196,negated_conjecture,(
% 0.22/5.77 ( app(cons(sk5,nil),sk6) = sk3| ~ neq(sk4,nil) ) ),
% 0.22/5.77 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.22/5.77 fof(f197,negated_conjecture,(
% 0.22/5.77 ( app(sk6,cons(sk5,nil)) = sk4| ~ neq(sk4,nil) ) ),
% 0.22/5.77 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.22/5.77 fof(f205,plain,(
% 0.22/5.77 ssList(nil)),
% 0.22/5.77 inference(cnf_transformation,[status(thm)],[f8])).
% 0.22/5.77 fof(f271,plain,(
% 0.22/5.77 ![X0]: (~ssList(X0)|app(X0,nil)=X0)),
% 0.22/5.77 inference(cnf_transformation,[status(thm)],[f73])).
% 0.22/5.77 fof(f272,plain,(
% 0.22/5.77 ![X0]: (~ssList(X0)|app(nil,X0)=X0)),
% 0.22/5.77 inference(cnf_transformation,[status(thm)],[f74])).
% 0.22/5.77 fof(f284,plain,(
% 0.22/5.77 ![X0,X1]: (~ssItem(X0)|~ssList(X1)|ssList(cons(X0,X1)))),
% 0.22/5.77 inference(cnf_transformation,[status(thm)],[f86])).
% 0.22/5.77 fof(f300,plain,(
% 0.22/5.77 ![X0,X1]: (~ssList(X0)|~ssList(X1)|neq(X1,X0)|X1=X0)),
% 0.22/5.77 inference(cnf_transformation,[status(thm)],[f100])).
% 0.22/5.77 fof(f324,plain,(
% 0.22/5.77 ![U]: (((![V]: (~app(U,V)=nil|~ssList(V)))|~ssList(U))|nil=U)),
% 0.22/5.77 inference(miniscoping,[status(thm)],[f118])).
% 0.22/5.77 fof(f325,plain,(
% 0.22/5.77 ![X0,X1]: (~app(X0,X1)=nil|~ssList(X1)|~ssList(X0)|nil=X0)),
% 0.22/5.77 inference(cnf_transformation,[status(thm)],[f324])).
% 0.22/5.77 fof(f359,plain,(
% 0.22/5.77 ![X0,X1]: (~nil=X0|~nil=X1|~ssList(X1)|~ssList(X0)|app(X0,X1)=nil)),
% 0.22/5.77 inference(cnf_transformation,[status(thm)],[f145])).
% 0.22/5.77 fof(f428,plain,(
% 0.22/5.77 ssList(sk1)),
% 0.22/5.77 inference(cnf_transformation,[status(thm)],[f186])).
% 0.22/5.77 fof(f429,plain,(
% 0.22/5.77 ssList(sk2)),
% 0.22/5.77 inference(cnf_transformation,[status(thm)],[f187])).
% 0.22/5.77 fof(f432,plain,(
% 0.22/5.77 sk2=sk4),
% 0.22/5.77 inference(cnf_transformation,[status(thm)],[f190])).
% 0.22/5.77 fof(f433,plain,(
% 0.22/5.77 sk1=sk3),
% 0.22/5.77 inference(cnf_transformation,[status(thm)],[f191])).
% 0.22/5.77 fof(f434,plain,(
% 0.22/5.77 ![X0,X1]: (~ssList(X0)|~ssList(X1)|~app(X0,X1)=sk2|~app(X1,X0)=sk1)),
% 0.22/5.77 inference(cnf_transformation,[status(thm)],[f192])).
% 0.22/5.77 fof(f435,plain,(
% 0.22/5.77 nil=sk3|~nil=sk4),
% 0.22/5.77 inference(cnf_transformation,[status(thm)],[f193])).
% 0.22/5.77 fof(f436,plain,(
% 0.22/5.77 ssItem(sk5)|~neq(sk4,nil)),
% 0.22/5.77 inference(cnf_transformation,[status(thm)],[f194])).
% 0.22/5.77 fof(f437,plain,(
% 0.22/5.77 ssList(sk6)|~neq(sk4,nil)),
% 0.22/5.77 inference(cnf_transformation,[status(thm)],[f195])).
% 0.22/5.77 fof(f438,plain,(
% 0.22/5.77 app(cons(sk5,nil),sk6)=sk3|~neq(sk4,nil)),
% 0.22/5.77 inference(cnf_transformation,[status(thm)],[f196])).
% 0.22/5.77 fof(f439,plain,(
% 0.22/5.77 app(sk6,cons(sk5,nil))=sk4|~neq(sk4,nil)),
% 0.22/5.77 inference(cnf_transformation,[status(thm)],[f197])).
% 0.22/5.77 fof(f447,definition,(
% 0.22/5.77 sQ2_spl <=> (nil=sk3)),
% 0.22/5.77 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 0.22/5.77 fof(f448,plain,(
% 0.22/5.77 nil=sk3|~sQ2_spl),
% 0.22/5.77 inference(component_clause,[status(thm)],[f447])).
% 0.22/5.77 fof(f450,definition,(
% 0.22/5.77 sQ3_spl <=> (nil=sk4)),
% 0.22/5.77 introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition])).
% 0.22/5.77 fof(f451,plain,(
% 0.22/5.77 nil=sk4|~sQ3_spl),
% 0.22/5.77 inference(component_clause,[status(thm)],[f450])).
% 0.22/5.77 fof(f452,plain,(
% 0.22/5.77 ~nil=sk4|sQ3_spl),
% 0.22/5.77 inference(component_clause,[status(thm)],[f450])).
% 0.22/5.77 fof(f453,plain,(
% 0.22/5.77 sQ2_spl|~sQ3_spl),
% 0.22/5.77 inference(split_clause,[status(thm)],[f435,f447,f450])).
% 0.22/5.77 fof(f454,definition,(
% 0.22/5.77 sQ4_spl <=> (ssItem(sk5))),
% 0.22/5.77 introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition])).
% 0.22/5.77 fof(f455,plain,(
% 0.22/5.77 ssItem(sk5)|~sQ4_spl),
% 0.22/5.77 inference(component_clause,[status(thm)],[f454])).
% 0.22/5.77 fof(f457,definition,(
% 0.22/5.77 sQ5_spl <=> (neq(sk4,nil))),
% 0.22/5.77 introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition])).
% 0.22/5.77 fof(f459,plain,(
% 0.22/5.77 ~neq(sk4,nil)|sQ5_spl),
% 0.22/5.77 inference(component_clause,[status(thm)],[f457])).
% 0.22/5.77 fof(f460,plain,(
% 0.22/5.77 sQ4_spl|~sQ5_spl),
% 0.22/5.77 inference(split_clause,[status(thm)],[f436,f454,f457])).
% 0.22/5.77 fof(f461,definition,(
% 0.22/5.77 sQ6_spl <=> (ssList(sk6))),
% 0.22/5.77 introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition])).
% 0.22/5.77 fof(f464,plain,(
% 0.22/5.77 sQ6_spl|~sQ5_spl),
% 0.22/5.77 inference(split_clause,[status(thm)],[f437,f461,f457])).
% 0.22/5.77 fof(f465,definition,(
% 0.22/5.77 sQ7_spl <=> (app(cons(sk5,nil),sk6)=sk3)),
% 0.22/5.77 introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition])).
% 0.22/5.77 fof(f466,plain,(
% 0.22/5.77 app(cons(sk5,nil),sk6)=sk3|~sQ7_spl),
% 0.22/5.77 inference(component_clause,[status(thm)],[f465])).
% 0.22/5.77 fof(f468,plain,(
% 0.22/5.77 sQ7_spl|~sQ5_spl),
% 0.22/5.77 inference(split_clause,[status(thm)],[f438,f465,f457])).
% 0.22/5.77 fof(f469,definition,(
% 0.22/5.77 sQ8_spl <=> (app(sk6,cons(sk5,nil))=sk4)),
% 0.22/5.77 introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition])).
% 0.22/5.77 fof(f470,plain,(
% 0.22/5.77 app(sk6,cons(sk5,nil))=sk4|~sQ8_spl),
% 0.22/5.77 inference(component_clause,[status(thm)],[f469])).
% 0.22/5.77 fof(f472,plain,(
% 0.22/5.77 sQ8_spl|~sQ5_spl),
% 0.22/5.77 inference(split_clause,[status(thm)],[f439,f469,f457])).
% 0.22/5.77 fof(f489,plain,(
% 0.22/5.77 ~ssList(nil)|~ssList(nil)|app(nil,nil)=nil),
% 0.22/5.77 inference(destructive_equality_resolution,[status(thm)],[f359])).
% 0.22/5.77 fof(f490,plain,(
% 0.22/5.77 ~ssList(nil)|app(nil,nil)=nil),
% 0.22/5.77 inference(duplicate_literals_removal,[status(thm)],[f489])).
% 0.22/5.77 fof(f505,plain,(
% 0.22/5.77 nil=sk1|~sQ2_spl),
% 0.22/5.77 inference(forward_demodulation,[status(thm)],[f433,f448])).
% 0.22/5.77 fof(f506,plain,(
% 0.22/5.77 ~neq(sk2,nil)|sQ5_spl),
% 0.22/5.77 inference(forward_demodulation,[status(thm)],[f432,f459])).
% 0.22/5.77 fof(f591,definition,(
% 0.22/5.77 sQ9_spl <=> (ssList(sk1))),
% 0.22/5.77 introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition])).
% 0.22/5.77 fof(f593,plain,(
% 0.22/5.77 ~ssList(sk1)|sQ9_spl),
% 0.22/5.77 inference(component_clause,[status(thm)],[f591])).
% 0.22/5.77 fof(f598,plain,(
% 0.22/5.77 ~nil=sk2|sQ3_spl),
% 0.22/5.77 inference(forward_demodulation,[status(thm)],[f432,f452])).
% 0.22/5.77 fof(f599,plain,(
% 0.22/5.77 ![X0]: (~ssItem(X0)|ssList(cons(X0,nil)))),
% 0.22/5.77 inference(resolution,[status(thm)],[f205,f284])).
% 0.22/5.77 fof(f609,plain,(
% 0.22/5.77 ~ssList(nil)|~ssList(sk2)|sk2=nil|sQ5_spl),
% 0.22/5.77 inference(resolution,[status(thm)],[f300,f506])).
% 0.22/5.77 fof(f612,definition,(
% 0.22/5.77 sQ11_spl <=> (ssList(nil))),
% 0.22/5.77 introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition])).
% 0.22/5.77 fof(f614,plain,(
% 0.22/5.77 ~ssList(nil)|sQ11_spl),
% 0.22/5.77 inference(component_clause,[status(thm)],[f612])).
% 0.22/5.77 fof(f615,definition,(
% 0.22/5.77 sQ12_spl <=> (ssList(sk2))),
% 0.22/5.77 introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition])).
% 0.22/5.77 fof(f617,plain,(
% 0.22/5.77 ~ssList(sk2)|sQ12_spl),
% 0.22/5.77 inference(component_clause,[status(thm)],[f615])).
% 0.22/5.77 fof(f618,definition,(
% 0.22/5.77 sQ13_spl <=> (sk2=nil)),
% 0.22/5.77 introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition])).
% 0.22/5.77 fof(f619,plain,(
% 0.22/5.77 sk2=nil|~sQ13_spl),
% 0.22/5.77 inference(component_clause,[status(thm)],[f618])).
% 0.22/5.77 fof(f621,plain,(
% 0.22/5.77 ~sQ11_spl|~sQ12_spl|sQ13_spl|sQ5_spl),
% 0.22/5.77 inference(split_clause,[status(thm)],[f609,f612,f615,f618,f457])).
% 0.22/5.77 fof(f622,plain,(
% 0.22/5.77 $false|sQ3_spl|~sQ13_spl),
% 0.22/5.77 inference(forward_subsumption_resolution,[status(thm)],[f619,f598])).
% 0.22/5.77 fof(f623,plain,(
% 0.22/5.77 sQ3_spl|~sQ13_spl),
% 0.22/5.77 inference(contradiction_clause,[status(thm)],[f622])).
% 0.22/5.77 fof(f624,plain,(
% 0.22/5.77 $false|sQ12_spl),
% 0.22/5.77 inference(forward_subsumption_resolution,[status(thm)],[f617,f429])).
% 0.22/5.77 fof(f625,plain,(
% 0.22/5.77 sQ12_spl),
% 0.22/5.77 inference(contradiction_clause,[status(thm)],[f624])).
% 0.22/5.77 fof(f626,plain,(
% 0.22/5.77 $false|sQ9_spl),
% 0.22/5.77 inference(forward_subsumption_resolution,[status(thm)],[f593,f428])).
% 0.22/5.77 fof(f627,plain,(
% 0.22/5.77 sQ9_spl),
% 0.22/5.77 inference(contradiction_clause,[status(thm)],[f626])).
% 0.22/5.77 fof(f628,plain,(
% 0.22/5.77 nil=sk2|~sQ3_spl),
% 0.22/5.77 inference(forward_demodulation,[status(thm)],[f432,f451])).
% 0.22/5.77 fof(f629,plain,(
% 0.22/5.77 $false|sQ11_spl),
% 0.22/5.77 inference(forward_subsumption_resolution,[status(thm)],[f614,f205])).
% 0.22/5.77 fof(f630,plain,(
% 0.22/5.77 sQ11_spl),
% 0.22/5.77 inference(contradiction_clause,[status(thm)],[f629])).
% 0.22/5.77 fof(f631,plain,(
% 0.22/5.77 app(cons(sk5,nil),sk6)=sk1|~sQ7_spl),
% 0.22/5.77 inference(forward_demodulation,[status(thm)],[f433,f466])).
% 0.22/5.77 fof(f632,plain,(
% 0.22/5.77 app(sk6,cons(sk5,nil))=sk2|~sQ8_spl),
% 0.22/5.77 inference(forward_demodulation,[status(thm)],[f432,f470])).
% 0.22/5.77 fof(f650,plain,(
% 0.22/5.77 sk1=sk2|~sQ2_spl|~sQ3_spl),
% 0.22/5.77 inference(backward_demodulation,[status(thm)],[f505,f628])).
% 0.22/5.77 fof(f754,definition,(
% 0.22/5.77 sQ14_spl <=> (sk1=nil)),
% 0.22/5.77 introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition])).
% 0.22/5.77 fof(f757,definition,(
% 0.22/5.77 sQ15_spl <=> (ssList(cons(sk5,nil)))),
% 0.22/5.77 introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition])).
% 0.22/5.77 fof(f759,plain,(
% 0.22/5.77 ~ssList(cons(sk5,nil))|sQ15_spl),
% 0.22/5.77 inference(component_clause,[status(thm)],[f757])).
% 0.22/5.77 fof(f1130,definition,(
% 0.22/5.77 sQ21_spl <=> (sk2=sk1)),
% 0.22/5.77 introduced(definition,[new_symbols(definition,[sQ21_spl])],[split_symbol_definition])).
% 0.22/5.77 fof(f1132,plain,(
% 0.22/5.77 ~sk2=sk1|sQ21_spl),
% 0.22/5.77 inference(component_clause,[status(thm)],[f1130])).
% 0.22/5.77 fof(f1153,definition,(
% 0.22/5.77 sQ27_spl <=> (app(nil,nil)=nil)),
% 0.22/5.77 introduced(definition,[new_symbols(definition,[sQ27_spl])],[split_symbol_definition])).
% 0.22/5.77 fof(f1154,plain,(
% 0.22/5.77 app(nil,nil)=nil|~sQ27_spl),
% 0.22/5.77 inference(component_clause,[status(thm)],[f1153])).
% 0.22/5.77 fof(f1156,plain,(
% 0.22/5.77 ~sQ11_spl|sQ27_spl),
% 0.22/5.77 inference(split_clause,[status(thm)],[f490,f612,f1153])).
% 0.22/5.77 fof(f1212,plain,(
% 0.22/5.77 ~ssList(nil)|~ssList(nil)|~app(nil,nil)=sk2|~nil=sk1|~sQ27_spl),
% 0.22/5.77 inference(paramodulation,[status(thm)],[f1154,f434])).
% 0.22/5.77 fof(f1213,definition,(
% 0.22/5.77 sQ31_spl <=> (app(nil,nil)=sk2)),
% 0.22/5.77 introduced(definition,[new_symbols(definition,[sQ31_spl])],[split_symbol_definition])).
% 0.22/5.77 fof(f1216,plain,(
% 0.22/5.77 ~sQ11_spl|~sQ31_spl|~sQ14_spl|~sQ27_spl),
% 0.22/5.77 inference(split_clause,[status(thm)],[f1212,f612,f1213,f754,f1153])).
% 0.22/5.77 fof(f1233,plain,(
% 0.22/5.77 app(sk2,nil)=sk2),
% 0.22/5.77 inference(resolution,[status(thm)],[f271,f429])).
% 0.22/5.77 fof(f1247,plain,(
% 0.22/5.77 app(sk1,nil)=sk1),
% 0.22/5.77 inference(resolution,[status(thm)],[f271,f428])).
% 0.22/5.77 fof(f1249,definition,(
% 0.22/5.77 sQ32_spl <=> (app(nil,sk2)=sk2)),
% 0.22/5.77 introduced(definition,[new_symbols(definition,[sQ32_spl])],[split_symbol_definition])).
% 0.22/5.77 fof(f1251,plain,(
% 0.22/5.77 ~app(nil,sk2)=sk2|sQ32_spl),
% 0.22/5.77 inference(component_clause,[status(thm)],[f1249])).
% 0.22/5.77 fof(f1276,plain,(
% 0.22/5.77 ~ssList(nil)|~ssList(nil)|nil=nil|~sQ27_spl),
% 0.22/5.77 inference(resolution,[status(thm)],[f325,f1154])).
% 0.22/5.77 fof(f1281,definition,(
% 0.22/5.77 sQ34_spl <=> (nil=nil)),
% 0.22/5.77 introduced(definition,[new_symbols(definition,[sQ34_spl])],[split_symbol_definition])).
% 0.22/5.77 fof(f1284,plain,(
% 0.22/5.77 ~sQ11_spl|sQ34_spl|~sQ27_spl),
% 0.22/5.77 inference(split_clause,[status(thm)],[f1276,f612,f1281,f1153])).
% 0.22/5.77 fof(f1320,plain,(
% 0.22/5.77 ~ssList(nil)|~ssList(sk1)|~app(nil,sk1)=sk2),
% 0.22/5.77 inference(resolution,[status(thm)],[f1247,f434])).
% 0.22/5.77 fof(f1323,definition,(
% 0.22/5.77 sQ35_spl <=> (app(nil,sk1)=sk2)),
% 0.22/5.77 introduced(definition,[new_symbols(definition,[sQ35_spl])],[split_symbol_definition])).
% 0.22/5.77 fof(f1326,plain,(
% 0.22/5.77 ~sQ11_spl|~sQ9_spl|~sQ35_spl),
% 0.22/5.77 inference(split_clause,[status(thm)],[f1320,f612,f591,f1323])).
% 0.22/5.77 fof(f1329,plain,(
% 0.22/5.77 ~ssList(sk6)|~ssList(cons(sk5,nil))|~app(sk6,cons(sk5,nil))=sk2|~sQ7_spl),
% 0.22/5.78 inference(resolution,[status(thm)],[f631,f434])).
% 0.22/5.78 fof(f1332,definition,(
% 0.22/5.78 sQ36_spl <=> (app(sk6,cons(sk5,nil))=sk2)),
% 0.22/5.78 introduced(definition,[new_symbols(definition,[sQ36_spl])],[split_symbol_definition])).
% 0.22/5.78 fof(f1334,plain,(
% 0.22/5.78 ~app(sk6,cons(sk5,nil))=sk2|sQ36_spl),
% 0.22/5.78 inference(component_clause,[status(thm)],[f1332])).
% 0.22/5.78 fof(f1335,plain,(
% 0.22/5.78 ~sQ6_spl|~sQ15_spl|~sQ36_spl|~sQ7_spl),
% 0.22/5.78 inference(split_clause,[status(thm)],[f1329,f461,f757,f1332,f465])).
% 0.22/5.78 fof(f1357,plain,(
% 0.22/5.78 app(nil,sk2)=sk2),
% 0.22/5.78 inference(resolution,[status(thm)],[f272,f429])).
% 0.22/5.78 fof(f1371,plain,(
% 0.22/5.78 app(nil,sk1)=sk1),
% 0.22/5.78 inference(resolution,[status(thm)],[f272,f428])).
% 0.22/5.78 fof(f1373,plain,(
% 0.22/5.78 ~ssList(sk2)|~ssList(nil)|~app(sk2,nil)=sk2|~sk2=sk1),
% 0.22/5.78 inference(paramodulation,[status(thm)],[f1357,f434])).
% 0.22/5.78 fof(f1375,definition,(
% 0.22/5.78 sQ38_spl <=> (app(sk2,nil)=sk2)),
% 0.22/5.78 introduced(definition,[new_symbols(definition,[sQ38_spl])],[split_symbol_definition])).
% 0.22/5.78 fof(f1377,plain,(
% 0.22/5.78 ~app(sk2,nil)=sk2|sQ38_spl),
% 0.22/5.78 inference(component_clause,[status(thm)],[f1375])).
% 0.22/5.78 fof(f1378,plain,(
% 0.22/5.78 ~sQ12_spl|~sQ11_spl|~sQ38_spl|~sQ21_spl),
% 0.22/5.78 inference(split_clause,[status(thm)],[f1373,f615,f612,f1375,f1130])).
% 0.22/5.78 fof(f1387,plain,(
% 0.22/5.78 ~ssList(sk1)|~ssList(nil)|~app(sk1,nil)=sk2),
% 0.22/5.78 inference(resolution,[status(thm)],[f1371,f434])).
% 0.22/5.78 fof(f1390,definition,(
% 0.22/5.78 sQ40_spl <=> (app(sk1,nil)=sk2)),
% 0.22/5.78 introduced(definition,[new_symbols(definition,[sQ40_spl])],[split_symbol_definition])).
% 0.22/5.78 fof(f1393,plain,(
% 0.22/5.78 ~sQ9_spl|~sQ11_spl|~sQ40_spl),
% 0.22/5.78 inference(split_clause,[status(thm)],[f1387,f591,f612,f1390])).
% 0.22/5.78 fof(f1499,plain,(
% 0.22/5.78 ~ssItem(sk5)|sQ15_spl),
% 0.22/5.78 inference(resolution,[status(thm)],[f599,f759])).
% 0.22/5.78 fof(f1515,plain,(
% 0.22/5.78 $false|~sQ4_spl|sQ15_spl),
% 0.22/5.78 inference(forward_subsumption_resolution,[status(thm)],[f1499,f455])).
% 0.22/5.78 fof(f1516,plain,(
% 0.22/5.78 ~sQ4_spl|sQ15_spl),
% 0.22/5.78 inference(contradiction_clause,[status(thm)],[f1515])).
% 0.22/5.78 fof(f1517,plain,(
% 0.22/5.78 ~sk2=sk2|~sQ8_spl|sQ36_spl),
% 0.22/5.78 inference(forward_demodulation,[status(thm)],[f632,f1334])).
% 0.22/5.78 fof(f1518,plain,(
% 0.22/5.78 $false|~sQ8_spl|sQ36_spl),
% 0.22/5.78 inference(trivial_equality_resolution,[status(thm)],[f1517])).
% 0.22/5.78 fof(f1519,plain,(
% 0.22/5.78 ~sQ8_spl|sQ36_spl),
% 0.22/5.78 inference(contradiction_clause,[status(thm)],[f1518])).
% 0.22/5.78 fof(f1520,plain,(
% 0.22/5.78 ~sk2=sk2|sQ32_spl),
% 0.22/5.78 inference(forward_demodulation,[status(thm)],[f1357,f1251])).
% 0.22/5.78 fof(f1521,plain,(
% 0.22/5.78 $false|sQ32_spl),
% 0.22/5.78 inference(trivial_equality_resolution,[status(thm)],[f1520])).
% 0.22/5.78 fof(f1522,plain,(
% 0.22/5.78 sQ32_spl),
% 0.22/5.78 inference(contradiction_clause,[status(thm)],[f1521])).
% 0.22/5.78 fof(f1523,plain,(
% 0.22/5.78 ~sk2=sk2|sQ38_spl),
% 0.22/5.78 inference(forward_demodulation,[status(thm)],[f1233,f1377])).
% 0.22/5.78 fof(f1524,plain,(
% 0.22/5.78 $false|sQ38_spl),
% 0.22/5.78 inference(trivial_equality_resolution,[status(thm)],[f1523])).
% 0.22/5.78 fof(f1525,plain,(
% 0.22/5.78 sQ38_spl),
% 0.22/5.78 inference(contradiction_clause,[status(thm)],[f1524])).
% 0.22/5.78 fof(f1529,plain,(
% 0.22/5.78 $false|sQ21_spl|~sQ2_spl|~sQ3_spl),
% 0.22/5.78 inference(forward_subsumption_resolution,[status(thm)],[f650,f1132])).
% 0.22/5.78 fof(f1530,plain,(
% 0.22/5.78 sQ21_spl|~sQ2_spl|~sQ3_spl),
% 0.22/5.78 inference(contradiction_clause,[status(thm)],[f1529])).
% 0.22/5.78 fof(f1531,plain,(
% 0.22/5.78 $false),
% 0.22/5.78 inference(sat_refutation,[status(thm)],[f453,f460,f464,f468,f472,f621,f623,f625,f627,f630,f1156,f1216,f1284,f1326,f1335,f1378,f1393,f1516,f1519,f1522,f1525,f1530])).
% 0.22/5.78 % SZS output end CNFRefutation for theBenchmark.p
% 0.22/5.84 % Elapsed time: 0.153442 seconds
% 0.22/5.84 % CPU time: 0.484745 seconds
% 0.22/5.84 % Total memory used: 64.400 MB
% 0.22/5.84 % Net memory used: 64.037 MB
%------------------------------------------------------------------------------