%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SWC029-1 : 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 : n011.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 02:41:23 PM UTC 2026
% Result : Unsatisfiable 0.14s 10.68s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWC029-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/10.38 % Computer : n011.cluster.edu
% 0.10/10.38 % Model : x86_64 x86_64
% 0.10/10.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/10.38 % Memory : 8046.5625MB
% 0.10/10.38 % OS : Linux 6.8.0-71-generic
% 0.10/10.38 % CPULimit : 300
% 0.10/10.38 % WCLimit : 300
% 0.10/10.38 % DateTime : Mon Sep 21 07:50:20 UTC 2026
% 0.10/10.38 % CPUTime :
% 0.14/10.40 % Drodi V4.1.1
% 0.14/10.68 % Refutation found
% 0.14/10.68 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.14/10.68 % SZS output start CNFRefutation for theBenchmark
% 0.14/10.68 fof(f74,axiom,(
% 0.14/10.68 (![U]: (( ~ ssList(U)| app(nil,U) = U ) ))),
% 0.14/10.68 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/10.68 fof(f85,axiom,(
% 0.14/10.68 (![U,V]: (( ~ ssList(U)| ~ ssList(V)| ssList(app(V,U)) ) ))),
% 0.14/10.68 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/10.68 fof(f86,axiom,(
% 0.14/10.68 (![U,V]: (( ~ ssItem(U)| ~ ssList(V)| ssList(cons(U,V)) ) ))),
% 0.14/10.68 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/10.68 fof(f99,axiom,(
% 0.14/10.68 (![U,V]: (( cons(U,V) != V| ~ ssItem(U)| ~ ssList(V) ) ))),
% 0.14/10.68 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/10.68 fof(f100,axiom,(
% 0.14/10.68 (![U,V]: (( ~ ssList(U)| ~ ssList(V)| neq(V,U)| V = U ) ))),
% 0.14/10.68 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/10.68 fof(f119,axiom,(
% 0.14/10.68 (![U,V]: (( app(U,V) != nil| ~ ssList(V)| ~ ssList(U)| nil = V ) ))),
% 0.14/10.68 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/10.68 fof(f129,axiom,(
% 0.14/10.68 (![U,V]: (( ~ frontsegP(U,V)| ~ frontsegP(V,U)| ~ ssList(U)| ~ ssList(V)| V = U ) ))),
% 0.14/10.68 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/10.68 fof(f144,axiom,(
% 0.14/10.68 (![U,V,W]: (( app(U,V) != W| ~ ssList(V)| ~ ssList(U)| ~ ssList(W)| frontsegP(W,U) ) ))),
% 0.14/10.68 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/10.68 fof(f187,negated_conjecture,(
% 0.14/10.68 ssList(sk2) ),
% 0.14/10.68 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/10.68 fof(f188,negated_conjecture,(
% 0.14/10.68 ssList(sk3) ),
% 0.14/10.68 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/10.68 fof(f190,negated_conjecture,(
% 0.14/10.68 sk2 = sk4 ),
% 0.14/10.68 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/10.68 fof(f191,negated_conjecture,(
% 0.14/10.68 sk1 = sk3 ),
% 0.14/10.68 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/10.68 fof(f192,negated_conjecture,(
% 0.14/10.68 ( nil = sk3| nil != sk4 ) ),
% 0.14/10.68 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/10.68 fof(f193,negated_conjecture,(
% 0.14/10.68 ( ssItem(sk5)| ~ neq(sk4,nil) ) ),
% 0.14/10.68 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/10.68 fof(f194,negated_conjecture,(
% 0.14/10.68 ( ssList(sk6)| ~ neq(sk4,nil) ) ),
% 0.14/10.68 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/10.68 fof(f196,negated_conjecture,(
% 0.14/10.68 ( app(sk6,cons(sk5,nil)) = sk3| ~ neq(sk4,nil) ) ),
% 0.14/10.68 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/10.68 fof(f197,negated_conjecture,(
% 0.14/10.68 ( nil = sk2| nil = sk1 ) ),
% 0.14/10.68 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/10.68 fof(f200,negated_conjecture,(
% 0.14/10.68 ( nil != sk1| nil != sk2 ) ),
% 0.14/10.68 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/10.68 fof(f275,plain,(
% 0.14/10.68 ![X0]: (~ssList(X0)|app(nil,X0)=X0)),
% 0.14/10.68 inference(cnf_transformation,[status(thm)],[f74])).
% 0.14/10.68 fof(f286,plain,(
% 0.14/10.68 ![X0,X1]: (~ssList(X0)|~ssList(X1)|ssList(app(X1,X0)))),
% 0.14/10.68 inference(cnf_transformation,[status(thm)],[f85])).
% 0.14/10.68 fof(f287,plain,(
% 0.14/10.68 ![X0,X1]: (~ssItem(X0)|~ssList(X1)|ssList(cons(X0,X1)))),
% 0.14/10.68 inference(cnf_transformation,[status(thm)],[f86])).
% 0.14/10.68 fof(f301,plain,(
% 0.14/10.68 ![V]: ((![U]: (~cons(U,V)=V|~ssItem(U)))|~ssList(V))),
% 0.14/10.68 inference(miniscoping,[status(thm)],[f99])).
% 0.14/10.68 fof(f302,plain,(
% 0.14/10.68 ![X0,X1]: (~cons(X0,X1)=X1|~ssItem(X0)|~ssList(X1))),
% 0.14/10.68 inference(cnf_transformation,[status(thm)],[f301])).
% 0.14/10.68 fof(f303,plain,(
% 0.14/10.68 ![X0,X1]: (~ssList(X0)|~ssList(X1)|neq(X1,X0)|X1=X0)),
% 0.14/10.68 inference(cnf_transformation,[status(thm)],[f100])).
% 0.14/10.68 fof(f329,plain,(
% 0.14/10.68 ![V]: ((![U]: ((~app(U,V)=nil|~ssList(V))|~ssList(U)))|nil=V)),
% 0.14/10.68 inference(miniscoping,[status(thm)],[f119])).
% 0.14/10.68 fof(f330,plain,(
% 0.14/10.68 ![X0,X1]: (~app(X0,X1)=nil|~ssList(X1)|~ssList(X0)|nil=X1)),
% 0.14/10.68 inference(cnf_transformation,[status(thm)],[f329])).
% 0.14/10.68 fof(f342,plain,(
% 0.14/10.68 ![X0,X1]: (~frontsegP(X0,X1)|~frontsegP(X1,X0)|~ssList(X0)|~ssList(X1)|X1=X0)),
% 0.14/10.68 inference(cnf_transformation,[status(thm)],[f129])).
% 0.14/10.68 fof(f360,plain,(
% 0.14/10.68 ![U,W]: ((((![V]: (~app(U,V)=W|~ssList(V)))|~ssList(U))|~ssList(W))|frontsegP(W,U))),
% 0.14/10.68 inference(miniscoping,[status(thm)],[f144])).
% 0.14/10.68 fof(f361,plain,(
% 0.14/10.68 ![X0,X1,X2]: (~app(X0,X1)=X2|~ssList(X1)|~ssList(X0)|~ssList(X2)|frontsegP(X2,X0))),
% 0.14/10.68 inference(cnf_transformation,[status(thm)],[f360])).
% 0.14/10.68 fof(f432,plain,(
% 0.14/10.68 ssList(sk2)),
% 0.14/10.68 inference(cnf_transformation,[status(thm)],[f187])).
% 0.14/10.68 fof(f433,plain,(
% 0.14/10.68 ssList(sk3)),
% 0.14/10.68 inference(cnf_transformation,[status(thm)],[f188])).
% 0.14/10.68 fof(f435,plain,(
% 0.14/10.68 sk2=sk4),
% 0.14/10.68 inference(cnf_transformation,[status(thm)],[f190])).
% 0.14/10.68 fof(f436,plain,(
% 0.14/10.68 sk1=sk3),
% 0.14/10.68 inference(cnf_transformation,[status(thm)],[f191])).
% 0.14/10.68 fof(f437,plain,(
% 0.14/10.68 nil=sk3|~nil=sk4),
% 0.14/10.68 inference(cnf_transformation,[status(thm)],[f192])).
% 0.14/10.68 fof(f438,plain,(
% 0.14/10.68 ssItem(sk5)|~neq(sk4,nil)),
% 0.14/10.68 inference(cnf_transformation,[status(thm)],[f193])).
% 0.14/10.68 fof(f439,plain,(
% 0.14/10.68 ssList(sk6)|~neq(sk4,nil)),
% 0.14/10.68 inference(cnf_transformation,[status(thm)],[f194])).
% 0.14/10.68 fof(f441,plain,(
% 0.14/10.68 app(sk6,cons(sk5,nil))=sk3|~neq(sk4,nil)),
% 0.14/10.68 inference(cnf_transformation,[status(thm)],[f196])).
% 0.14/10.68 fof(f442,plain,(
% 0.14/10.68 nil=sk2|nil=sk1),
% 0.14/10.68 inference(cnf_transformation,[status(thm)],[f197])).
% 0.14/10.68 fof(f445,plain,(
% 0.14/10.68 ~nil=sk1|~nil=sk2),
% 0.14/10.68 inference(cnf_transformation,[status(thm)],[f200])).
% 0.14/10.68 fof(f453,definition,(
% 0.14/10.68 sQ2_spl <=> (nil=sk3)),
% 0.14/10.68 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 0.14/10.68 fof(f454,plain,(
% 0.14/10.68 nil=sk3|~sQ2_spl),
% 0.14/10.68 inference(component_clause,[status(thm)],[f453])).
% 0.14/10.68 fof(f456,definition,(
% 0.14/10.68 sQ3_spl <=> (nil=sk4)),
% 0.14/10.68 introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition])).
% 0.14/10.68 fof(f458,plain,(
% 0.14/10.68 ~nil=sk4|sQ3_spl),
% 0.14/10.68 inference(component_clause,[status(thm)],[f456])).
% 0.14/10.68 fof(f459,plain,(
% 0.14/10.68 sQ2_spl|~sQ3_spl),
% 0.14/10.68 inference(split_clause,[status(thm)],[f437,f453,f456])).
% 0.14/10.68 fof(f460,definition,(
% 0.14/10.68 sQ4_spl <=> (ssItem(sk5))),
% 0.14/10.68 introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition])).
% 0.14/10.68 fof(f461,plain,(
% 0.14/10.68 ssItem(sk5)|~sQ4_spl),
% 0.14/10.68 inference(component_clause,[status(thm)],[f460])).
% 0.14/10.68 fof(f463,definition,(
% 0.14/10.68 sQ5_spl <=> (neq(sk4,nil))),
% 0.14/10.68 introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition])).
% 0.14/10.68 fof(f465,plain,(
% 0.14/10.68 ~neq(sk4,nil)|sQ5_spl),
% 0.14/10.68 inference(component_clause,[status(thm)],[f463])).
% 0.14/10.68 fof(f466,plain,(
% 0.14/10.68 sQ4_spl|~sQ5_spl),
% 0.14/10.68 inference(split_clause,[status(thm)],[f438,f460,f463])).
% 0.14/10.68 fof(f467,definition,(
% 0.14/10.68 sQ6_spl <=> (ssList(sk6))),
% 0.14/10.68 introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition])).
% 0.14/10.68 fof(f468,plain,(
% 0.14/10.68 ssList(sk6)|~sQ6_spl),
% 0.14/10.68 inference(component_clause,[status(thm)],[f467])).
% 0.14/10.68 fof(f470,plain,(
% 0.14/10.68 sQ6_spl|~sQ5_spl),
% 0.14/10.68 inference(split_clause,[status(thm)],[f439,f467,f463])).
% 0.14/10.68 fof(f475,definition,(
% 0.14/10.68 sQ8_spl <=> (app(sk6,cons(sk5,nil))=sk3)),
% 0.14/10.68 introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition])).
% 0.14/10.68 fof(f476,plain,(
% 0.14/10.68 app(sk6,cons(sk5,nil))=sk3|~sQ8_spl),
% 0.14/10.68 inference(component_clause,[status(thm)],[f475])).
% 0.14/10.68 fof(f478,plain,(
% 0.14/10.68 sQ8_spl|~sQ5_spl),
% 0.14/10.68 inference(split_clause,[status(thm)],[f441,f475,f463])).
% 0.14/10.68 fof(f479,definition,(
% 0.14/10.68 sQ9_spl <=> (nil=sk2)),
% 0.14/10.68 introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition])).
% 0.14/10.68 fof(f481,plain,(
% 0.14/10.68 ~nil=sk2|sQ9_spl),
% 0.14/10.68 inference(component_clause,[status(thm)],[f479])).
% 0.14/10.68 fof(f482,definition,(
% 0.14/10.68 sQ10_spl <=> (nil=sk1)),
% 0.14/10.68 introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition])).
% 0.14/10.68 fof(f483,plain,(
% 0.14/10.68 nil=sk1|~sQ10_spl),
% 0.14/10.68 inference(component_clause,[status(thm)],[f482])).
% 0.14/10.68 fof(f484,plain,(
% 0.14/10.68 ~nil=sk1|sQ10_spl),
% 0.14/10.68 inference(component_clause,[status(thm)],[f482])).
% 0.14/10.68 fof(f485,plain,(
% 0.14/10.68 sQ9_spl|sQ10_spl),
% 0.14/10.68 inference(split_clause,[status(thm)],[f442,f479,f482])).
% 0.14/10.68 fof(f488,plain,(
% 0.14/10.68 ~sQ10_spl|~sQ9_spl),
% 0.14/10.68 inference(split_clause,[status(thm)],[f445,f482,f479])).
% 0.14/10.68 fof(f504,plain,(
% 0.14/10.68 ![X0,X1]: (~ssList(X0)|~ssList(X1)|~ssList(app(X1,X0))|frontsegP(app(X1,X0),X1))),
% 0.14/10.68 inference(destructive_equality_resolution,[status(thm)],[f361])).
% 0.14/10.68 fof(f521,plain,(
% 0.14/10.68 ~sk3=sk1|~sQ2_spl|sQ10_spl),
% 0.14/10.68 inference(forward_demodulation,[status(thm)],[f454,f484])).
% 0.14/10.68 fof(f522,plain,(
% 0.14/10.68 ~sk3=sk3|~sQ2_spl|sQ10_spl),
% 0.14/10.68 inference(forward_demodulation,[status(thm)],[f436,f521])).
% 0.14/10.68 fof(f523,plain,(
% 0.14/10.68 $false|~sQ2_spl|sQ10_spl),
% 0.14/10.68 inference(trivial_equality_resolution,[status(thm)],[f522])).
% 0.14/10.68 fof(f524,plain,(
% 0.14/10.68 ~sQ2_spl|sQ10_spl),
% 0.14/10.68 inference(contradiction_clause,[status(thm)],[f523])).
% 0.14/10.68 fof(f525,plain,(
% 0.14/10.68 ~nil=sk2|sQ3_spl),
% 0.14/10.68 inference(forward_demodulation,[status(thm)],[f435,f458])).
% 0.14/10.68 fof(f526,plain,(
% 0.14/10.68 nil=sk3|~sQ10_spl),
% 0.14/10.68 inference(forward_demodulation,[status(thm)],[f436,f483])).
% 0.14/10.68 fof(f541,plain,(
% 0.14/10.68 ![X0]: (~ssList(X0)|app(sk3,X0)=X0|~sQ10_spl)),
% 0.14/10.68 inference(backward_demodulation,[status(thm)],[f526,f275])).
% 0.14/10.68 fof(f544,plain,(
% 0.14/10.68 ~sk3=sk2|~sQ10_spl|sQ9_spl),
% 0.14/10.68 inference(forward_demodulation,[status(thm)],[f526,f481])).
% 0.14/10.68 fof(f545,plain,(
% 0.14/10.68 ~neq(sk2,nil)|sQ5_spl),
% 0.14/10.68 inference(forward_demodulation,[status(thm)],[f435,f465])).
% 0.14/10.68 fof(f550,definition,(
% 0.14/10.68 sQ11_spl <=> (ssList(sk3))),
% 0.14/10.68 introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition])).
% 0.14/10.68 fof(f552,plain,(
% 0.14/10.68 ~ssList(sk3)|sQ11_spl),
% 0.14/10.68 inference(component_clause,[status(thm)],[f550])).
% 0.14/10.68 fof(f556,definition,(
% 0.14/10.68 sQ12_spl <=> (ssList(sk2))),
% 0.14/10.68 introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition])).
% 0.14/10.68 fof(f558,plain,(
% 0.14/10.68 ~ssList(sk2)|sQ12_spl),
% 0.14/10.68 inference(component_clause,[status(thm)],[f556])).
% 0.14/10.68 fof(f590,plain,(
% 0.14/10.68 ~sQ9_spl|sQ3_spl),
% 0.14/10.68 inference(split_clause,[status(thm)],[f525,f479,f456])).
% 0.14/10.68 fof(f609,plain,(
% 0.14/10.68 ~neq(sk2,sk3)|~sQ10_spl|sQ5_spl),
% 0.14/10.68 inference(forward_demodulation,[status(thm)],[f526,f545])).
% 0.14/10.68 fof(f610,plain,(
% 0.14/10.68 ~ssList(sk3)|~ssList(sk2)|sk2=sk3|~sQ10_spl|sQ5_spl),
% 0.14/10.68 inference(resolution,[status(thm)],[f303,f609])).
% 0.14/10.68 fof(f613,definition,(
% 0.14/10.68 sQ14_spl <=> (sk2=sk3)),
% 0.14/10.68 introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition])).
% 0.14/10.68 fof(f614,plain,(
% 0.14/10.68 sk2=sk3|~sQ14_spl),
% 0.14/10.68 inference(component_clause,[status(thm)],[f613])).
% 0.14/10.68 fof(f616,plain,(
% 0.14/10.68 ~sQ11_spl|~sQ12_spl|sQ14_spl|~sQ10_spl|sQ5_spl),
% 0.14/10.68 inference(split_clause,[status(thm)],[f610,f550,f556,f613,f482,f463])).
% 0.14/10.68 fof(f617,plain,(
% 0.14/10.68 $false|sQ11_spl),
% 0.14/10.68 inference(forward_subsumption_resolution,[status(thm)],[f552,f433])).
% 0.14/10.68 fof(f618,plain,(
% 0.14/10.68 sQ11_spl),
% 0.14/10.68 inference(contradiction_clause,[status(thm)],[f617])).
% 0.14/10.68 fof(f619,plain,(
% 0.14/10.68 $false|sQ12_spl),
% 0.14/10.68 inference(forward_subsumption_resolution,[status(thm)],[f558,f432])).
% 0.14/10.68 fof(f620,plain,(
% 0.14/10.68 sQ12_spl),
% 0.14/10.68 inference(contradiction_clause,[status(thm)],[f619])).
% 0.14/10.68 fof(f623,plain,(
% 0.14/10.68 app(sk6,cons(sk5,sk3))=sk3|~sQ10_spl|~sQ8_spl),
% 0.14/10.68 inference(forward_demodulation,[status(thm)],[f526,f476])).
% 0.14/10.68 fof(f630,plain,(
% 0.14/10.68 ![X0]: (~cons(sk5,X0)=X0|~ssList(X0)|~sQ4_spl)),
% 0.14/10.68 inference(resolution,[status(thm)],[f461,f302])).
% 0.14/10.68 fof(f645,plain,(
% 0.14/10.68 app(sk3,sk6)=sk6|~sQ6_spl|~sQ10_spl),
% 0.14/10.68 inference(resolution,[status(thm)],[f468,f541])).
% 0.14/10.68 fof(f673,plain,(
% 0.14/10.68 ![X0,X1]: (~app(X0,X1)=sk3|~ssList(X1)|~ssList(X0)|nil=X1|~sQ10_spl)),
% 0.14/10.68 inference(forward_demodulation,[status(thm)],[f526,f330])).
% 0.14/10.68 fof(f674,plain,(
% 0.14/10.68 ![X0,X1]: (~app(X0,X1)=sk3|~ssList(X1)|~ssList(X0)|sk3=X1|~sQ10_spl)),
% 0.14/10.68 inference(forward_demodulation,[status(thm)],[f526,f673])).
% 0.14/10.68 fof(f693,definition,(
% 0.14/10.68 sQ16_spl <=> (sk3=sk6)),
% 0.14/10.68 introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition])).
% 0.14/10.68 fof(f694,plain,(
% 0.14/10.68 sk3=sk6|~sQ16_spl),
% 0.14/10.68 inference(component_clause,[status(thm)],[f693])).
% 0.14/10.68 fof(f708,plain,(
% 0.14/10.68 $false|~sQ10_spl|sQ9_spl|~sQ14_spl),
% 0.14/10.68 inference(forward_subsumption_resolution,[status(thm)],[f614,f544])).
% 0.14/10.68 fof(f709,plain,(
% 0.14/10.68 ~sQ10_spl|sQ9_spl|~sQ14_spl),
% 0.14/10.68 inference(contradiction_clause,[status(thm)],[f708])).
% 0.14/10.68 fof(f838,plain,(
% 0.14/10.68 ~cons(sk5,sk6)=sk6|~sQ4_spl|~sQ6_spl),
% 0.14/10.68 inference(resolution,[status(thm)],[f630,f468])).
% 0.14/10.68 fof(f1126,definition,(
% 0.14/10.68 sQ28_spl <=> (ssList(cons(sk5,sk3)))),
% 0.14/10.68 introduced(definition,[new_symbols(definition,[sQ28_spl])],[split_symbol_definition])).
% 0.14/10.68 fof(f1128,plain,(
% 0.14/10.68 ~ssList(cons(sk5,sk3))|sQ28_spl),
% 0.14/10.68 inference(component_clause,[status(thm)],[f1126])).
% 0.14/10.68 fof(f1132,plain,(
% 0.14/10.68 ~ssItem(sk5)|~ssList(sk3)|sQ28_spl),
% 0.14/10.68 inference(resolution,[status(thm)],[f1128,f287])).
% 0.14/10.68 fof(f1133,plain,(
% 0.14/10.68 ~sQ4_spl|~sQ11_spl|sQ28_spl),
% 0.14/10.68 inference(split_clause,[status(thm)],[f1132,f460,f550,f1126])).
% 0.14/10.68 fof(f2813,plain,(
% 0.14/10.68 ![X0,X1]: (~app(X0,X1)=sk6|~ssList(X1)|~ssList(X0)|sk3=X1|~sQ16_spl|~sQ10_spl)),
% 0.14/10.68 inference(forward_demodulation,[status(thm)],[f694,f674])).
% 0.14/10.68 fof(f2814,plain,(
% 0.14/10.68 ![X0,X1]: (~app(X0,X1)=sk6|~ssList(X1)|~ssList(X0)|sk6=X1|~sQ16_spl|~sQ10_spl)),
% 0.14/10.68 inference(forward_demodulation,[status(thm)],[f694,f2813])).
% 0.14/10.69 fof(f2871,definition,(
% 0.14/10.69 sQ79_spl <=> (ssList(cons(sk5,sk6)))),
% 0.14/10.69 introduced(definition,[new_symbols(definition,[sQ79_spl])],[split_symbol_definition])).
% 0.14/10.69 fof(f2873,plain,(
% 0.14/10.69 ~ssList(cons(sk5,sk6))|sQ79_spl),
% 0.14/10.69 inference(component_clause,[status(thm)],[f2871])).
% 0.14/10.69 fof(f2875,definition,(
% 0.14/10.69 sQ80_spl <=> (sk6=cons(sk5,sk6))),
% 0.14/10.69 introduced(definition,[new_symbols(definition,[sQ80_spl])],[split_symbol_definition])).
% 0.14/10.69 fof(f2876,plain,(
% 0.14/10.69 sk6=cons(sk5,sk6)|~sQ80_spl),
% 0.14/10.69 inference(component_clause,[status(thm)],[f2875])).
% 0.14/10.69 fof(f3047,plain,(
% 0.14/10.69 app(sk6,cons(sk5,sk6))=sk3|~sQ16_spl|~sQ10_spl|~sQ8_spl),
% 0.14/10.69 inference(forward_demodulation,[status(thm)],[f694,f623])).
% 0.14/10.69 fof(f3048,plain,(
% 0.14/10.69 app(sk6,cons(sk5,sk6))=sk6|~sQ16_spl|~sQ10_spl|~sQ8_spl),
% 0.14/10.69 inference(forward_demodulation,[status(thm)],[f694,f3047])).
% 0.14/10.69 fof(f3049,plain,(
% 0.14/10.69 ~ssList(cons(sk5,sk6))|~ssList(sk6)|sk6=cons(sk5,sk6)|~sQ8_spl|~sQ16_spl|~sQ10_spl),
% 0.14/10.69 inference(resolution,[status(thm)],[f3048,f2814])).
% 0.14/10.69 fof(f3056,plain,(
% 0.14/10.69 ~sQ79_spl|~sQ6_spl|sQ80_spl|~sQ8_spl|~sQ16_spl|~sQ10_spl),
% 0.14/10.69 inference(split_clause,[status(thm)],[f3049,f2871,f467,f2875,f475,f693,f482])).
% 0.14/10.69 fof(f3118,plain,(
% 0.14/10.69 $false|~sQ4_spl|~sQ6_spl|~sQ80_spl),
% 0.14/10.69 inference(forward_subsumption_resolution,[status(thm)],[f2876,f838])).
% 0.14/10.69 fof(f3119,plain,(
% 0.14/10.69 ~sQ4_spl|~sQ6_spl|~sQ80_spl),
% 0.14/10.69 inference(contradiction_clause,[status(thm)],[f3118])).
% 0.14/10.69 fof(f3938,plain,(
% 0.14/10.69 ![X0,X1]: (~ssList(X0)|~ssList(X1)|frontsegP(app(X1,X0),X1))),
% 0.14/10.69 inference(forward_subsumption_resolution,[status(thm)],[f504,f286])).
% 0.14/10.69 fof(f3948,plain,(
% 0.14/10.69 ~ssList(sk6)|~ssList(sk3)|frontsegP(sk6,sk3)|~sQ6_spl|~sQ10_spl),
% 0.14/10.69 inference(paramodulation,[status(thm)],[f645,f3938])).
% 0.14/10.69 fof(f3949,plain,(
% 0.14/10.69 ~ssList(cons(sk5,sk3))|~ssList(sk6)|frontsegP(sk3,sk6)|~sQ10_spl|~sQ8_spl),
% 0.14/10.69 inference(paramodulation,[status(thm)],[f623,f3938])).
% 0.14/10.69 fof(f3981,definition,(
% 0.14/10.69 sQ151_spl <=> (frontsegP(sk6,sk3))),
% 0.14/10.69 introduced(definition,[new_symbols(definition,[sQ151_spl])],[split_symbol_definition])).
% 0.14/10.69 fof(f3982,plain,(
% 0.14/10.69 frontsegP(sk6,sk3)|~sQ151_spl),
% 0.14/10.69 inference(component_clause,[status(thm)],[f3981])).
% 0.14/10.69 fof(f3984,plain,(
% 0.14/10.69 ~sQ6_spl|~sQ11_spl|sQ151_spl|~sQ10_spl),
% 0.14/10.69 inference(split_clause,[status(thm)],[f3948,f467,f550,f3981,f482])).
% 0.14/10.69 fof(f3985,definition,(
% 0.14/10.69 sQ152_spl <=> (frontsegP(sk3,sk6))),
% 0.14/10.69 introduced(definition,[new_symbols(definition,[sQ152_spl])],[split_symbol_definition])).
% 0.14/10.69 fof(f3988,plain,(
% 0.14/10.69 ~sQ28_spl|~sQ6_spl|sQ152_spl|~sQ10_spl|~sQ8_spl),
% 0.14/10.69 inference(split_clause,[status(thm)],[f3949,f1126,f467,f3985,f482,f475])).
% 0.14/10.69 fof(f3995,plain,(
% 0.14/10.69 ~frontsegP(sk3,sk6)|~ssList(sk3)|~ssList(sk6)|sk6=sk3|~sQ151_spl),
% 0.14/10.69 inference(resolution,[status(thm)],[f3982,f342])).
% 0.14/10.69 fof(f4004,plain,(
% 0.14/10.69 ~sQ152_spl|~sQ11_spl|~sQ6_spl|sQ16_spl|~sQ151_spl),
% 0.14/10.69 inference(split_clause,[status(thm)],[f3995,f3985,f550,f467,f693,f3981])).
% 0.14/10.69 fof(f4235,plain,(
% 0.14/10.69 ~ssItem(sk5)|~ssList(sk6)|sQ79_spl),
% 0.14/10.69 inference(resolution,[status(thm)],[f2873,f287])).
% 0.14/10.69 fof(f4236,plain,(
% 0.14/10.69 ~sQ4_spl|~sQ6_spl|sQ79_spl),
% 0.14/10.69 inference(split_clause,[status(thm)],[f4235,f460,f467,f2871])).
% 0.14/10.69 fof(f4237,plain,(
% 0.14/10.69 $false),
% 0.14/10.69 inference(sat_refutation,[status(thm)],[f459,f466,f470,f478,f485,f488,f524,f590,f616,f618,f620,f709,f1133,f3056,f3119,f3984,f3988,f4004,f4236])).
% 0.14/10.69 % SZS output end CNFRefutation for theBenchmark.p
% 0.14/10.70 % Elapsed time: 0.305015 seconds
% 0.14/10.70 % CPU time: 2.107516 seconds
% 0.14/10.70 % Total memory used: 152.968 MB
% 0.14/10.70 % Net memory used: 150.419 MB
%------------------------------------------------------------------------------