%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SWC323-1 : 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 : n019.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 0.13s 10.44s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWC323-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/10.37 % Computer : n019.cluster.edu
% 0.10/10.37 % Model : x86_64 x86_64
% 0.10/10.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/10.37 % Memory : 8046.5625MB
% 0.10/10.37 % OS : Linux 6.8.0-71-generic
% 0.10/10.37 % CPULimit : 300
% 0.10/10.37 % WCLimit : 300
% 0.10/10.37 % DateTime : Mon Sep 21 08:16:02 UTC 2026
% 0.10/10.37 % CPUTime :
% 0.10/10.39 % Drodi V4.1.1
% 0.13/10.44 % Refutation found
% 0.13/10.44 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.13/10.44 % SZS output start CNFRefutation for theBenchmark
% 0.13/10.44 fof(f8,axiom,(
% 0.13/10.44 ssList(nil) ),
% 0.13/10.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/10.44 fof(f73,axiom,(
% 0.13/10.44 (![U]: (( ~ ssList(U)| app(U,nil) = U ) ))),
% 0.13/10.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/10.44 fof(f74,axiom,(
% 0.13/10.44 (![U]: (( ~ ssList(U)| app(nil,U) = U ) ))),
% 0.13/10.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/10.44 fof(f86,axiom,(
% 0.13/10.44 (![U,V]: (( ~ ssItem(U)| ~ ssList(V)| ssList(cons(U,V)) ) ))),
% 0.13/10.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/10.44 fof(f100,axiom,(
% 0.13/10.44 (![U,V]: (( ~ ssList(U)| ~ ssList(V)| neq(V,U)| V = U ) ))),
% 0.13/10.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/10.44 fof(f119,axiom,(
% 0.13/10.44 (![U,V]: (( app(U,V) != nil| ~ ssList(V)| ~ ssList(U)| nil = V ) ))),
% 0.13/10.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/10.44 fof(f186,negated_conjecture,(
% 0.13/10.44 ssList(sk1) ),
% 0.13/10.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/10.44 fof(f187,negated_conjecture,(
% 0.13/10.44 ssList(sk2) ),
% 0.13/10.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/10.44 fof(f190,negated_conjecture,(
% 0.13/10.44 sk2 = sk4 ),
% 0.13/10.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/10.44 fof(f191,negated_conjecture,(
% 0.13/10.44 sk1 = sk3 ),
% 0.13/10.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/10.44 fof(f192,negated_conjecture,(
% 0.13/10.44 (![A,B]: (( ~ ssList(A)| ~ ssList(B)| app(A,B) != sk2| app(B,A) != sk1 ) ))),
% 0.13/10.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/10.44 fof(f193,negated_conjecture,(
% 0.13/10.44 ( nil = sk3| nil != sk4 ) ),
% 0.13/10.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/10.44 fof(f194,negated_conjecture,(
% 0.13/10.44 ( ssItem(sk5)| ~ neq(sk4,nil) ) ),
% 0.13/10.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/10.44 fof(f195,negated_conjecture,(
% 0.13/10.44 ( ssList(sk6)| ~ neq(sk4,nil) ) ),
% 0.13/10.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/10.44 fof(f196,negated_conjecture,(
% 0.13/10.44 ( app(cons(sk5,nil),sk6) = sk4| ~ neq(sk4,nil) ) ),
% 0.13/10.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/10.44 fof(f197,negated_conjecture,(
% 0.13/10.44 ( app(sk6,cons(sk5,nil)) = sk3| ~ neq(sk4,nil) ) ),
% 0.13/10.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/10.44 fof(f205,plain,(
% 0.13/10.44 ssList(nil)),
% 0.13/10.44 inference(cnf_transformation,[status(thm)],[f8])).
% 0.13/10.44 fof(f271,plain,(
% 0.13/10.44 ![X0]: (~ssList(X0)|app(X0,nil)=X0)),
% 0.13/10.44 inference(cnf_transformation,[status(thm)],[f73])).
% 0.13/10.44 fof(f272,plain,(
% 0.13/10.44 ![X0]: (~ssList(X0)|app(nil,X0)=X0)),
% 0.13/10.44 inference(cnf_transformation,[status(thm)],[f74])).
% 0.13/10.44 fof(f284,plain,(
% 0.13/10.44 ![X0,X1]: (~ssItem(X0)|~ssList(X1)|ssList(cons(X0,X1)))),
% 0.13/10.44 inference(cnf_transformation,[status(thm)],[f86])).
% 0.13/10.44 fof(f300,plain,(
% 0.13/10.44 ![X0,X1]: (~ssList(X0)|~ssList(X1)|neq(X1,X0)|X1=X0)),
% 0.13/10.44 inference(cnf_transformation,[status(thm)],[f100])).
% 0.13/10.44 fof(f326,plain,(
% 0.13/10.44 ![V]: ((![U]: ((~app(U,V)=nil|~ssList(V))|~ssList(U)))|nil=V)),
% 0.13/10.44 inference(miniscoping,[status(thm)],[f119])).
% 0.13/10.44 fof(f327,plain,(
% 0.13/10.44 ![X0,X1]: (~app(X0,X1)=nil|~ssList(X1)|~ssList(X0)|nil=X1)),
% 0.13/10.44 inference(cnf_transformation,[status(thm)],[f326])).
% 0.13/10.44 fof(f428,plain,(
% 0.13/10.44 ssList(sk1)),
% 0.13/10.44 inference(cnf_transformation,[status(thm)],[f186])).
% 0.13/10.44 fof(f429,plain,(
% 0.13/10.44 ssList(sk2)),
% 0.13/10.44 inference(cnf_transformation,[status(thm)],[f187])).
% 0.13/10.44 fof(f432,plain,(
% 0.13/10.44 sk2=sk4),
% 0.13/10.44 inference(cnf_transformation,[status(thm)],[f190])).
% 0.13/10.44 fof(f433,plain,(
% 0.13/10.44 sk1=sk3),
% 0.13/10.44 inference(cnf_transformation,[status(thm)],[f191])).
% 0.13/10.44 fof(f434,plain,(
% 0.13/10.44 ![X0,X1]: (~ssList(X0)|~ssList(X1)|~app(X0,X1)=sk2|~app(X1,X0)=sk1)),
% 0.13/10.44 inference(cnf_transformation,[status(thm)],[f192])).
% 0.13/10.44 fof(f435,plain,(
% 0.13/10.44 nil=sk3|~nil=sk4),
% 0.13/10.44 inference(cnf_transformation,[status(thm)],[f193])).
% 0.13/10.44 fof(f436,plain,(
% 0.13/10.44 ssItem(sk5)|~neq(sk4,nil)),
% 0.13/10.44 inference(cnf_transformation,[status(thm)],[f194])).
% 0.13/10.44 fof(f437,plain,(
% 0.13/10.44 ssList(sk6)|~neq(sk4,nil)),
% 0.13/10.44 inference(cnf_transformation,[status(thm)],[f195])).
% 0.13/10.44 fof(f438,plain,(
% 0.13/10.44 app(cons(sk5,nil),sk6)=sk4|~neq(sk4,nil)),
% 0.13/10.44 inference(cnf_transformation,[status(thm)],[f196])).
% 0.13/10.44 fof(f439,plain,(
% 0.13/10.44 app(sk6,cons(sk5,nil))=sk3|~neq(sk4,nil)),
% 0.13/10.44 inference(cnf_transformation,[status(thm)],[f197])).
% 0.13/10.44 fof(f447,definition,(
% 0.13/10.44 sQ2_spl <=> (nil=sk3)),
% 0.13/10.45 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 0.13/10.45 fof(f448,plain,(
% 0.13/10.45 nil=sk3|~sQ2_spl),
% 0.13/10.45 inference(component_clause,[status(thm)],[f447])).
% 0.13/10.45 fof(f450,definition,(
% 0.13/10.45 sQ3_spl <=> (nil=sk4)),
% 0.13/10.45 introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition])).
% 0.13/10.45 fof(f451,plain,(
% 0.13/10.45 nil=sk4|~sQ3_spl),
% 0.13/10.45 inference(component_clause,[status(thm)],[f450])).
% 0.13/10.45 fof(f452,plain,(
% 0.13/10.45 ~nil=sk4|sQ3_spl),
% 0.13/10.45 inference(component_clause,[status(thm)],[f450])).
% 0.13/10.45 fof(f453,plain,(
% 0.13/10.45 sQ2_spl|~sQ3_spl),
% 0.13/10.45 inference(split_clause,[status(thm)],[f435,f447,f450])).
% 0.13/10.45 fof(f454,definition,(
% 0.13/10.45 sQ4_spl <=> (ssItem(sk5))),
% 0.13/10.45 introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition])).
% 0.13/10.45 fof(f455,plain,(
% 0.13/10.45 ssItem(sk5)|~sQ4_spl),
% 0.13/10.45 inference(component_clause,[status(thm)],[f454])).
% 0.13/10.45 fof(f457,definition,(
% 0.13/10.45 sQ5_spl <=> (neq(sk4,nil))),
% 0.13/10.45 introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition])).
% 0.13/10.45 fof(f459,plain,(
% 0.13/10.45 ~neq(sk4,nil)|sQ5_spl),
% 0.13/10.45 inference(component_clause,[status(thm)],[f457])).
% 0.13/10.45 fof(f460,plain,(
% 0.13/10.45 sQ4_spl|~sQ5_spl),
% 0.13/10.45 inference(split_clause,[status(thm)],[f436,f454,f457])).
% 0.13/10.45 fof(f461,definition,(
% 0.13/10.45 sQ6_spl <=> (ssList(sk6))),
% 0.13/10.45 introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition])).
% 0.13/10.45 fof(f464,plain,(
% 0.13/10.45 sQ6_spl|~sQ5_spl),
% 0.13/10.45 inference(split_clause,[status(thm)],[f437,f461,f457])).
% 0.13/10.45 fof(f465,definition,(
% 0.13/10.45 sQ7_spl <=> (app(cons(sk5,nil),sk6)=sk4)),
% 0.13/10.45 introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition])).
% 0.13/10.45 fof(f466,plain,(
% 0.13/10.45 app(cons(sk5,nil),sk6)=sk4|~sQ7_spl),
% 0.13/10.45 inference(component_clause,[status(thm)],[f465])).
% 0.13/10.45 fof(f468,plain,(
% 0.13/10.45 sQ7_spl|~sQ5_spl),
% 0.13/10.45 inference(split_clause,[status(thm)],[f438,f465,f457])).
% 0.13/10.45 fof(f469,definition,(
% 0.13/10.45 sQ8_spl <=> (app(sk6,cons(sk5,nil))=sk3)),
% 0.13/10.45 introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition])).
% 0.13/10.45 fof(f470,plain,(
% 0.13/10.45 app(sk6,cons(sk5,nil))=sk3|~sQ8_spl),
% 0.13/10.45 inference(component_clause,[status(thm)],[f469])).
% 0.13/10.45 fof(f472,plain,(
% 0.13/10.45 sQ8_spl|~sQ5_spl),
% 0.13/10.45 inference(split_clause,[status(thm)],[f439,f469,f457])).
% 0.13/10.45 fof(f505,plain,(
% 0.13/10.45 nil=sk1|~sQ2_spl),
% 0.13/10.45 inference(forward_demodulation,[status(thm)],[f433,f448])).
% 0.13/10.45 fof(f506,plain,(
% 0.13/10.45 ~neq(sk2,nil)|sQ5_spl),
% 0.13/10.45 inference(forward_demodulation,[status(thm)],[f432,f459])).
% 0.13/10.45 fof(f591,definition,(
% 0.13/10.45 sQ9_spl <=> (ssList(sk1))),
% 0.13/10.45 introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition])).
% 0.13/10.45 fof(f593,plain,(
% 0.13/10.45 ~ssList(sk1)|sQ9_spl),
% 0.13/10.45 inference(component_clause,[status(thm)],[f591])).
% 0.13/10.45 fof(f598,plain,(
% 0.13/10.45 ~nil=sk2|sQ3_spl),
% 0.13/10.45 inference(forward_demodulation,[status(thm)],[f432,f452])).
% 0.13/10.45 fof(f599,plain,(
% 0.13/10.45 ![X0]: (~ssItem(X0)|ssList(cons(X0,nil)))),
% 0.13/10.45 inference(resolution,[status(thm)],[f205,f284])).
% 0.13/10.45 fof(f609,plain,(
% 0.13/10.45 ~ssList(nil)|~ssList(sk2)|sk2=nil|sQ5_spl),
% 0.13/10.45 inference(resolution,[status(thm)],[f300,f506])).
% 0.13/10.45 fof(f612,definition,(
% 0.13/10.45 sQ11_spl <=> (ssList(nil))),
% 0.13/10.45 introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition])).
% 0.13/10.45 fof(f614,plain,(
% 0.13/10.45 ~ssList(nil)|sQ11_spl),
% 0.13/10.45 inference(component_clause,[status(thm)],[f612])).
% 0.13/10.45 fof(f615,definition,(
% 0.13/10.45 sQ12_spl <=> (ssList(sk2))),
% 0.13/10.45 introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition])).
% 0.13/10.45 fof(f617,plain,(
% 0.13/10.45 ~ssList(sk2)|sQ12_spl),
% 0.13/10.45 inference(component_clause,[status(thm)],[f615])).
% 0.13/10.45 fof(f618,definition,(
% 0.13/10.45 sQ13_spl <=> (sk2=nil)),
% 0.13/10.45 introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition])).
% 0.13/10.45 fof(f619,plain,(
% 0.13/10.45 sk2=nil|~sQ13_spl),
% 0.13/10.45 inference(component_clause,[status(thm)],[f618])).
% 0.13/10.45 fof(f621,plain,(
% 0.13/10.45 ~sQ11_spl|~sQ12_spl|sQ13_spl|sQ5_spl),
% 0.13/10.45 inference(split_clause,[status(thm)],[f609,f612,f615,f618,f457])).
% 0.13/10.45 fof(f622,plain,(
% 0.13/10.45 $false|sQ3_spl|~sQ13_spl),
% 0.13/10.45 inference(forward_subsumption_resolution,[status(thm)],[f619,f598])).
% 0.13/10.45 fof(f623,plain,(
% 0.13/10.45 sQ3_spl|~sQ13_spl),
% 0.13/10.45 inference(contradiction_clause,[status(thm)],[f622])).
% 0.13/10.45 fof(f624,plain,(
% 0.13/10.45 $false|sQ12_spl),
% 0.13/10.45 inference(forward_subsumption_resolution,[status(thm)],[f617,f429])).
% 0.13/10.45 fof(f625,plain,(
% 0.13/10.45 sQ12_spl),
% 0.13/10.45 inference(contradiction_clause,[status(thm)],[f624])).
% 0.13/10.45 fof(f626,plain,(
% 0.13/10.45 $false|sQ9_spl),
% 0.13/10.45 inference(forward_subsumption_resolution,[status(thm)],[f593,f428])).
% 0.13/10.45 fof(f627,plain,(
% 0.13/10.45 sQ9_spl),
% 0.13/10.45 inference(contradiction_clause,[status(thm)],[f626])).
% 0.13/10.45 fof(f628,plain,(
% 0.13/10.45 nil=sk2|~sQ3_spl),
% 0.13/10.45 inference(forward_demodulation,[status(thm)],[f432,f451])).
% 0.13/10.45 fof(f629,plain,(
% 0.13/10.45 $false|sQ11_spl),
% 0.13/10.45 inference(forward_subsumption_resolution,[status(thm)],[f614,f205])).
% 0.13/10.45 fof(f630,plain,(
% 0.13/10.45 sQ11_spl),
% 0.13/10.45 inference(contradiction_clause,[status(thm)],[f629])).
% 0.13/10.45 fof(f631,plain,(
% 0.13/10.45 app(cons(sk5,nil),sk6)=sk2|~sQ7_spl),
% 0.13/10.45 inference(forward_demodulation,[status(thm)],[f432,f466])).
% 0.13/10.45 fof(f632,plain,(
% 0.13/10.45 app(sk6,cons(sk5,nil))=sk1|~sQ8_spl),
% 0.13/10.45 inference(forward_demodulation,[status(thm)],[f433,f470])).
% 0.13/10.45 fof(f650,plain,(
% 0.13/10.45 sk1=sk2|~sQ2_spl|~sQ3_spl),
% 0.13/10.45 inference(backward_demodulation,[status(thm)],[f505,f628])).
% 0.13/10.45 fof(f754,definition,(
% 0.13/10.45 sQ14_spl <=> (ssList(cons(sk5,nil)))),
% 0.13/10.45 introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition])).
% 0.13/10.45 fof(f756,plain,(
% 0.13/10.45 ~ssList(cons(sk5,nil))|sQ14_spl),
% 0.13/10.45 inference(component_clause,[status(thm)],[f754])).
% 0.13/10.45 fof(f763,plain,(
% 0.13/10.45 app(nil,nil)=nil),
% 0.13/10.45 inference(resolution,[status(thm)],[f272,f205])).
% 0.13/10.45 fof(f764,plain,(
% 0.13/10.45 app(nil,sk2)=sk2),
% 0.13/10.45 inference(resolution,[status(thm)],[f272,f429])).
% 0.13/10.45 fof(f778,plain,(
% 0.13/10.45 app(nil,sk1)=sk1),
% 0.13/10.45 inference(resolution,[status(thm)],[f272,f428])).
% 0.13/10.45 fof(f779,plain,(
% 0.13/10.45 ~ssList(nil)|~ssList(nil)|nil=nil),
% 0.13/10.45 inference(resolution,[status(thm)],[f763,f327])).
% 0.13/10.45 fof(f781,definition,(
% 0.13/10.45 sQ16_spl <=> (nil=nil)),
% 0.13/10.45 introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition])).
% 0.13/10.45 fof(f784,plain,(
% 0.13/10.45 ~sQ11_spl|sQ16_spl),
% 0.13/10.45 inference(split_clause,[status(thm)],[f779,f612,f781])).
% 0.13/10.45 fof(f926,plain,(
% 0.13/10.45 app(sk2,nil)=sk2),
% 0.13/10.45 inference(resolution,[status(thm)],[f271,f429])).
% 0.13/10.45 fof(f940,plain,(
% 0.13/10.45 app(sk1,nil)=sk1),
% 0.13/10.45 inference(resolution,[status(thm)],[f271,f428])).
% 0.13/10.45 fof(f1165,plain,(
% 0.13/10.45 ~ssList(nil)|~ssList(sk1)|~app(nil,sk1)=sk2),
% 0.13/10.45 inference(resolution,[status(thm)],[f434,f940])).
% 0.13/10.45 fof(f1166,plain,(
% 0.13/10.45 ~ssList(cons(sk5,nil))|~ssList(sk6)|~app(cons(sk5,nil),sk6)=sk2|~sQ8_spl),
% 0.13/10.45 inference(resolution,[status(thm)],[f434,f632])).
% 0.13/10.45 fof(f1167,plain,(
% 0.13/10.45 ~ssList(sk1)|~ssList(nil)|~app(sk1,nil)=sk2),
% 0.13/10.45 inference(resolution,[status(thm)],[f434,f778])).
% 0.13/10.45 fof(f1174,plain,(
% 0.13/10.45 ~ssList(sk2)|~ssList(nil)|~app(sk2,nil)=sk2|~sk2=sk1),
% 0.13/10.45 inference(paramodulation,[status(thm)],[f764,f434])).
% 0.13/10.45 fof(f1177,definition,(
% 0.13/10.45 sQ19_spl <=> (app(nil,sk1)=sk2)),
% 0.13/10.45 introduced(definition,[new_symbols(definition,[sQ19_spl])],[split_symbol_definition])).
% 0.13/10.45 fof(f1180,plain,(
% 0.13/10.45 ~sQ11_spl|~sQ9_spl|~sQ19_spl),
% 0.13/10.45 inference(split_clause,[status(thm)],[f1165,f612,f591,f1177])).
% 0.13/10.45 fof(f1181,definition,(
% 0.13/10.45 sQ20_spl <=> (app(cons(sk5,nil),sk6)=sk2)),
% 0.13/10.45 introduced(definition,[new_symbols(definition,[sQ20_spl])],[split_symbol_definition])).
% 0.13/10.45 fof(f1183,plain,(
% 0.13/10.45 ~app(cons(sk5,nil),sk6)=sk2|sQ20_spl),
% 0.13/10.45 inference(component_clause,[status(thm)],[f1181])).
% 0.13/10.45 fof(f1184,plain,(
% 0.13/10.45 ~sQ14_spl|~sQ6_spl|~sQ20_spl|~sQ8_spl),
% 0.13/10.45 inference(split_clause,[status(thm)],[f1166,f754,f461,f1181,f469])).
% 0.13/10.45 fof(f1185,definition,(
% 0.13/10.45 sQ21_spl <=> (app(sk1,nil)=sk2)),
% 0.13/10.45 introduced(definition,[new_symbols(definition,[sQ21_spl])],[split_symbol_definition])).
% 0.13/10.45 fof(f1188,plain,(
% 0.13/10.45 ~sQ9_spl|~sQ11_spl|~sQ21_spl),
% 0.13/10.45 inference(split_clause,[status(thm)],[f1167,f591,f612,f1185])).
% 0.13/10.45 fof(f1193,definition,(
% 0.13/10.45 sQ23_spl <=> (app(nil,sk2)=sk2)),
% 0.13/10.45 introduced(definition,[new_symbols(definition,[sQ23_spl])],[split_symbol_definition])).
% 0.13/10.45 fof(f1195,plain,(
% 0.13/10.45 ~app(nil,sk2)=sk2|sQ23_spl),
% 0.13/10.45 inference(component_clause,[status(thm)],[f1193])).
% 0.13/10.45 fof(f1196,definition,(
% 0.13/10.45 sQ24_spl <=> (sk2=sk1)),
% 0.13/10.45 introduced(definition,[new_symbols(definition,[sQ24_spl])],[split_symbol_definition])).
% 0.13/10.45 fof(f1198,plain,(
% 0.13/10.45 ~sk2=sk1|sQ24_spl),
% 0.13/10.45 inference(component_clause,[status(thm)],[f1196])).
% 0.13/10.45 fof(f1213,definition,(
% 0.13/10.45 sQ28_spl <=> (app(sk2,nil)=sk2)),
% 0.13/10.45 introduced(definition,[new_symbols(definition,[sQ28_spl])],[split_symbol_definition])).
% 0.13/10.45 fof(f1215,plain,(
% 0.13/10.45 ~app(sk2,nil)=sk2|sQ28_spl),
% 0.13/10.45 inference(component_clause,[status(thm)],[f1213])).
% 0.13/10.45 fof(f1216,plain,(
% 0.13/10.45 ~sQ12_spl|~sQ11_spl|~sQ28_spl|~sQ24_spl),
% 0.13/10.45 inference(split_clause,[status(thm)],[f1174,f615,f612,f1213,f1196])).
% 0.13/10.45 fof(f1329,plain,(
% 0.13/10.45 ~ssItem(sk5)|sQ14_spl),
% 0.13/10.45 inference(resolution,[status(thm)],[f599,f756])).
% 0.13/10.45 fof(f1345,plain,(
% 0.13/10.45 $false|~sQ4_spl|sQ14_spl),
% 0.13/10.45 inference(forward_subsumption_resolution,[status(thm)],[f1329,f455])).
% 0.13/10.45 fof(f1346,plain,(
% 0.13/10.45 ~sQ4_spl|sQ14_spl),
% 0.13/10.45 inference(contradiction_clause,[status(thm)],[f1345])).
% 0.13/10.45 fof(f1347,plain,(
% 0.13/10.45 ~sk2=sk2|~sQ7_spl|sQ20_spl),
% 0.13/10.45 inference(forward_demodulation,[status(thm)],[f631,f1183])).
% 0.13/10.45 fof(f1348,plain,(
% 0.13/10.45 $false|~sQ7_spl|sQ20_spl),
% 0.13/10.45 inference(trivial_equality_resolution,[status(thm)],[f1347])).
% 0.13/10.45 fof(f1349,plain,(
% 0.13/10.45 ~sQ7_spl|sQ20_spl),
% 0.13/10.45 inference(contradiction_clause,[status(thm)],[f1348])).
% 0.13/10.45 fof(f1350,plain,(
% 0.13/10.45 ~sk2=sk2|sQ23_spl),
% 0.13/10.45 inference(forward_demodulation,[status(thm)],[f764,f1195])).
% 0.13/10.45 fof(f1351,plain,(
% 0.13/10.45 $false|sQ23_spl),
% 0.13/10.45 inference(trivial_equality_resolution,[status(thm)],[f1350])).
% 0.13/10.45 fof(f1352,plain,(
% 0.13/10.45 sQ23_spl),
% 0.13/10.45 inference(contradiction_clause,[status(thm)],[f1351])).
% 0.13/10.45 fof(f1354,plain,(
% 0.13/10.45 ~sk2=sk2|sQ28_spl),
% 0.13/10.45 inference(forward_demodulation,[status(thm)],[f926,f1215])).
% 0.13/10.45 fof(f1355,plain,(
% 0.13/10.45 $false|sQ28_spl),
% 0.13/10.45 inference(trivial_equality_resolution,[status(thm)],[f1354])).
% 0.13/10.45 fof(f1356,plain,(
% 0.13/10.45 sQ28_spl),
% 0.13/10.45 inference(contradiction_clause,[status(thm)],[f1355])).
% 0.13/10.45 fof(f1358,plain,(
% 0.13/10.45 $false|sQ24_spl|~sQ2_spl|~sQ3_spl),
% 0.13/10.45 inference(forward_subsumption_resolution,[status(thm)],[f650,f1198])).
% 0.13/10.45 fof(f1359,plain,(
% 0.13/10.45 sQ24_spl|~sQ2_spl|~sQ3_spl),
% 0.13/10.45 inference(contradiction_clause,[status(thm)],[f1358])).
% 0.13/10.45 fof(f1360,plain,(
% 0.13/10.45 $false),
% 0.13/10.45 inference(sat_refutation,[status(thm)],[f453,f460,f464,f468,f472,f621,f623,f625,f627,f630,f784,f1180,f1184,f1188,f1216,f1346,f1349,f1352,f1356,f1359])).
% 0.13/10.45 % SZS output end CNFRefutation for theBenchmark.p
% 0.13/10.48 % Elapsed time: 0.085086 seconds
% 0.13/10.48 % CPU time: 0.363301 seconds
% 0.13/10.48 % Total memory used: 113.924 MB
% 0.13/10.48 % Net memory used: 113.504 MB
%------------------------------------------------------------------------------