%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SWC098-1 : 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 : n008.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 02:41:34 PM UTC 2026
% Result : Unsatisfiable 0.13s 0.39s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWC098-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.36 % Computer : n008.cluster.edu
% 0.08/0.36 % Model : x86_64 x86_64
% 0.08/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.36 % Memory : 8046.5625MB
% 0.08/0.36 % OS : Linux 6.8.0-71-generic
% 0.08/0.36 % CPULimit : 300
% 0.08/0.36 % WCLimit : 300
% 0.08/0.36 % DateTime : Mon Sep 21 07:56:26 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.13/0.38 % Drodi V4.1.1
% 0.13/0.39 % Refutation found
% 0.13/0.39 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.13/0.39 % SZS output start CNFRefutation for theBenchmark
% 0.13/0.39 fof(f8,axiom,(
% 0.13/0.39 ssList(nil) ),
% 0.13/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f9,axiom,(
% 0.13/0.39 ssItem(skac3) ),
% 0.13/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f10,axiom,(
% 0.13/0.39 ssItem(skac2) ),
% 0.13/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f62,axiom,(
% 0.13/0.39 (![U]: (( ~ ssItem(U)| leq(U,U) ) ))),
% 0.13/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f99,axiom,(
% 0.13/0.39 (![U,V]: (( cons(U,V) != V| ~ ssItem(U)| ~ ssList(V) ) ))),
% 0.13/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f130,axiom,(
% 0.13/0.39 (![U,V]: (( ~ leq(U,V)| ~ leq(V,U)| ~ ssItem(U)| ~ ssItem(V)| V = U ) ))),
% 0.13/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f156,axiom,(
% 0.13/0.39 (![U,V,W]: (( ~ leq(U,V)| ~ leq(V,W)| ~ ssItem(W)| ~ ssItem(V)| ~ ssItem(U)| leq(U,W) ) ))),
% 0.13/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f189,negated_conjecture,(
% 0.13/0.39 ssList(sk4) ),
% 0.13/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f190,negated_conjecture,(
% 0.13/0.39 sk2 = sk4 ),
% 0.13/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f191,negated_conjecture,(
% 0.13/0.39 sk1 = sk3 ),
% 0.13/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f192,negated_conjecture,(
% 0.13/0.39 (![A]: (( ~ ssItem(A)| cons(A,nil) != sk1| ssItem(sk5(A))| ~ memberP(sk2,A) ) ))),
% 0.13/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f193,negated_conjecture,(
% 0.13/0.39 (![A]: (( ~ ssItem(A)| cons(A,nil) != sk1| memberP(sk2,sk5(A))| ~ memberP(sk2,A) ) ))),
% 0.13/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f194,negated_conjecture,(
% 0.13/0.39 (![A]: (( ~ ssItem(A)| cons(A,nil) != sk1| leq(A,sk5(A))| ~ memberP(sk2,A) ) ))),
% 0.13/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f195,negated_conjecture,(
% 0.13/0.39 (![A]: (( ~ ssItem(A)| cons(A,nil) != sk1| A != sk5(A)| ~ memberP(sk2,A) ) ))),
% 0.13/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f196,negated_conjecture,(
% 0.13/0.39 ( nil != sk2| nil != sk1 ) ),
% 0.13/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f197,negated_conjecture,(
% 0.13/0.39 ( ssItem(sk6)| nil = sk4 ) ),
% 0.13/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f198,negated_conjecture,(
% 0.13/0.39 ( ssItem(sk6)| nil = sk3 ) ),
% 0.13/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f199,negated_conjecture,(
% 0.13/0.39 ( cons(sk6,nil) = sk3| nil = sk4 ) ),
% 0.13/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f202,negated_conjecture,(
% 0.13/0.39 ( cons(sk6,nil) = sk3| nil = sk3 ) ),
% 0.13/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f203,negated_conjecture,(
% 0.13/0.39 ( memberP(sk4,sk6)| nil = sk3 ) ),
% 0.13/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f204,negated_conjecture,(
% 0.13/0.39 (![A]: (( ~ ssItem(A)| sk6 = A| ~ memberP(sk4,A)| ~ leq(sk6,A)| nil = sk3 ) ))),
% 0.13/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f212,plain,(
% 0.13/0.39 ssList(nil)),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f8])).
% 0.13/0.39 fof(f213,plain,(
% 0.13/0.39 ssItem(skac3)),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f9])).
% 0.13/0.39 fof(f214,plain,(
% 0.13/0.39 ssItem(skac2)),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f10])).
% 0.13/0.39 fof(f266,plain,(
% 0.13/0.39 ![X0]: (~ssItem(X0)|leq(X0,X0))),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f62])).
% 0.13/0.39 fof(f305,plain,(
% 0.13/0.39 ![V]: ((![U]: (~cons(U,V)=V|~ssItem(U)))|~ssList(V))),
% 0.13/0.39 inference(miniscoping,[status(thm)],[f99])).
% 0.13/0.39 fof(f306,plain,(
% 0.13/0.39 ![X0,X1]: (~cons(X0,X1)=X1|~ssItem(X0)|~ssList(X1))),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f305])).
% 0.13/0.39 fof(f347,plain,(
% 0.13/0.39 ![X0,X1]: (~leq(X0,X1)|~leq(X1,X0)|~ssItem(X0)|~ssItem(X1)|X1=X0)),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f130])).
% 0.13/0.39 fof(f386,plain,(
% 0.13/0.39 ![U,W]: (((![V]: (((~leq(U,V)|~leq(V,W))|~ssItem(W))|~ssItem(V)))|~ssItem(U))|leq(U,W))),
% 0.13/0.39 inference(miniscoping,[status(thm)],[f156])).
% 0.13/0.39 fof(f387,plain,(
% 0.13/0.39 ![X0,X1,X2]: (~leq(X0,X1)|~leq(X1,X2)|~ssItem(X2)|~ssItem(X1)|~ssItem(X0)|leq(X0,X2))),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f386])).
% 0.13/0.39 fof(f438,plain,(
% 0.13/0.39 ssList(sk4)),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f189])).
% 0.13/0.39 fof(f439,plain,(
% 0.13/0.39 sk2=sk4),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f190])).
% 0.13/0.39 fof(f440,plain,(
% 0.13/0.39 sk1=sk3),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f191])).
% 0.13/0.39 fof(f441,plain,(
% 0.13/0.39 ![X0]: (~ssItem(X0)|~cons(X0,nil)=sk1|ssItem(sk5(X0))|~memberP(sk2,X0))),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f192])).
% 0.13/0.39 fof(f442,plain,(
% 0.13/0.39 ![X0]: (~ssItem(X0)|~cons(X0,nil)=sk1|memberP(sk2,sk5(X0))|~memberP(sk2,X0))),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f193])).
% 0.13/0.39 fof(f443,plain,(
% 0.13/0.39 ![X0]: (~ssItem(X0)|~cons(X0,nil)=sk1|leq(X0,sk5(X0))|~memberP(sk2,X0))),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f194])).
% 0.13/0.39 fof(f444,plain,(
% 0.13/0.39 ![X0]: (~ssItem(X0)|~cons(X0,nil)=sk1|~X0=sk5(X0)|~memberP(sk2,X0))),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f195])).
% 0.13/0.39 fof(f445,plain,(
% 0.13/0.39 ~nil=sk2|~nil=sk1),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f196])).
% 0.13/0.39 fof(f446,plain,(
% 0.13/0.39 ssItem(sk6)|nil=sk4),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f197])).
% 0.13/0.39 fof(f447,plain,(
% 0.13/0.39 ssItem(sk6)|nil=sk3),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f198])).
% 0.13/0.39 fof(f448,plain,(
% 0.13/0.39 cons(sk6,nil)=sk3|nil=sk4),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f199])).
% 0.13/0.39 fof(f452,plain,(
% 0.13/0.39 cons(sk6,nil)=sk3|nil=sk3),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f202])).
% 0.13/0.39 fof(f453,plain,(
% 0.13/0.39 memberP(sk4,sk6)|nil=sk3),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f203])).
% 0.13/0.39 fof(f454,plain,(
% 0.13/0.39 (![A]: (((~ssItem(A)|sk6=A)|~memberP(sk4,A))|~leq(sk6,A)))|nil=sk3),
% 0.13/0.39 inference(miniscoping,[status(thm)],[f204])).
% 0.13/0.39 fof(f455,plain,(
% 0.13/0.39 ![X0]: (~ssItem(X0)|sk6=X0|~memberP(sk4,X0)|~leq(sk6,X0)|nil=sk3)),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f454])).
% 0.13/0.39 fof(f463,definition,(
% 0.13/0.39 sQ2_spl <=> (nil=sk2)),
% 0.13/0.39 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 0.13/0.39 fof(f465,plain,(
% 0.13/0.39 ~nil=sk2|sQ2_spl),
% 0.13/0.39 inference(component_clause,[status(thm)],[f463])).
% 0.13/0.39 fof(f466,definition,(
% 0.13/0.39 sQ3_spl <=> (nil=sk1)),
% 0.13/0.39 introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition])).
% 0.13/0.39 fof(f468,plain,(
% 0.13/0.39 ~nil=sk1|sQ3_spl),
% 0.13/0.39 inference(component_clause,[status(thm)],[f466])).
% 0.13/0.39 fof(f469,plain,(
% 0.13/0.39 ~sQ2_spl|~sQ3_spl),
% 0.13/0.39 inference(split_clause,[status(thm)],[f445,f463,f466])).
% 0.13/0.39 fof(f470,definition,(
% 0.13/0.39 sQ4_spl <=> (ssItem(sk6))),
% 0.13/0.39 introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition])).
% 0.13/0.39 fof(f471,plain,(
% 0.13/0.39 ssItem(sk6)|~sQ4_spl),
% 0.13/0.39 inference(component_clause,[status(thm)],[f470])).
% 0.13/0.39 fof(f473,definition,(
% 0.13/0.39 sQ5_spl <=> (nil=sk4)),
% 0.13/0.39 introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition])).
% 0.13/0.39 fof(f474,plain,(
% 0.13/0.39 nil=sk4|~sQ5_spl),
% 0.13/0.39 inference(component_clause,[status(thm)],[f473])).
% 0.13/0.39 fof(f476,plain,(
% 0.13/0.39 sQ4_spl|sQ5_spl),
% 0.13/0.39 inference(split_clause,[status(thm)],[f446,f470,f473])).
% 0.13/0.39 fof(f477,definition,(
% 0.13/0.39 sQ6_spl <=> (nil=sk3)),
% 0.13/0.39 introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition])).
% 0.13/0.39 fof(f478,plain,(
% 0.13/0.39 nil=sk3|~sQ6_spl),
% 0.13/0.39 inference(component_clause,[status(thm)],[f477])).
% 0.13/0.39 fof(f480,plain,(
% 0.13/0.39 sQ4_spl|sQ6_spl),
% 0.13/0.39 inference(split_clause,[status(thm)],[f447,f470,f477])).
% 0.13/0.39 fof(f481,definition,(
% 0.13/0.39 sQ7_spl <=> (cons(sk6,nil)=sk3)),
% 0.13/0.39 introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition])).
% 0.13/0.39 fof(f482,plain,(
% 0.13/0.39 cons(sk6,nil)=sk3|~sQ7_spl),
% 0.13/0.39 inference(component_clause,[status(thm)],[f481])).
% 0.13/0.39 fof(f484,plain,(
% 0.13/0.39 sQ7_spl|sQ5_spl),
% 0.13/0.39 inference(split_clause,[status(thm)],[f448,f481,f473])).
% 0.13/0.39 fof(f485,definition,(
% 0.13/0.39 sQ8_spl <=> (memberP(sk4,sk6))),
% 0.13/0.39 introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition])).
% 0.13/0.39 fof(f486,plain,(
% 0.13/0.39 memberP(sk4,sk6)|~sQ8_spl),
% 0.13/0.39 inference(component_clause,[status(thm)],[f485])).
% 0.13/0.39 fof(f489,definition,(
% 0.13/0.39 ![X0]: (sQ9_spl <=> (~ssItem(X0)|sk6=X0|~memberP(sk4,X0)|~leq(sk6,X0)))),
% 0.13/0.39 introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition])).
% 0.13/0.39 fof(f490,plain,(
% 0.13/0.39 ![X0]: (~ssItem(X0)|sk6=X0|~memberP(sk4,X0)|~leq(sk6,X0)|~sQ9_spl)),
% 0.13/0.39 inference(component_clause,[status(thm)],[f489])).
% 0.13/0.39 fof(f493,plain,(
% 0.13/0.39 sQ7_spl|sQ6_spl),
% 0.13/0.39 inference(split_clause,[status(thm)],[f452,f481,f477])).
% 0.13/0.39 fof(f494,plain,(
% 0.13/0.39 sQ8_spl|sQ6_spl),
% 0.13/0.39 inference(split_clause,[status(thm)],[f453,f485,f477])).
% 0.13/0.39 fof(f495,plain,(
% 0.13/0.39 sQ9_spl|sQ6_spl),
% 0.13/0.39 inference(split_clause,[status(thm)],[f455,f489,f477])).
% 0.13/0.39 fof(f529,plain,(
% 0.13/0.39 ~sk4=sk2|~sQ5_spl|sQ2_spl),
% 0.13/0.39 inference(forward_demodulation,[status(thm)],[f474,f465])).
% 0.13/0.39 fof(f530,plain,(
% 0.13/0.39 ~sk4=sk4|~sQ5_spl|sQ2_spl),
% 0.13/0.39 inference(forward_demodulation,[status(thm)],[f439,f529])).
% 0.13/0.39 fof(f531,plain,(
% 0.13/0.39 $false|~sQ5_spl|sQ2_spl),
% 0.13/0.39 inference(trivial_equality_resolution,[status(thm)],[f530])).
% 0.13/0.39 fof(f532,plain,(
% 0.13/0.39 ~sQ5_spl|sQ2_spl),
% 0.13/0.39 inference(contradiction_clause,[status(thm)],[f531])).
% 0.13/0.39 fof(f533,plain,(
% 0.13/0.39 ~nil=sk3|sQ3_spl),
% 0.13/0.39 inference(forward_demodulation,[status(thm)],[f440,f468])).
% 0.13/0.39 fof(f534,plain,(
% 0.13/0.39 leq(sk6,sk6)|~sQ4_spl),
% 0.13/0.39 inference(resolution,[status(thm)],[f266,f471])).
% 0.13/0.39 fof(f537,plain,(
% 0.13/0.39 leq(skac3,skac3)),
% 0.13/0.39 inference(resolution,[status(thm)],[f213,f266])).
% 0.13/0.39 fof(f539,plain,(
% 0.13/0.39 leq(skac2,skac2)),
% 0.13/0.39 inference(resolution,[status(thm)],[f214,f266])).
% 0.13/0.39 fof(f556,plain,(
% 0.13/0.39 ![X0]: (~ssItem(X0)|~cons(X0,nil)=sk3|ssItem(sk5(X0))|~memberP(sk2,X0))),
% 0.13/0.39 inference(forward_demodulation,[status(thm)],[f440,f441])).
% 0.13/0.39 fof(f557,plain,(
% 0.13/0.39 ![X0]: (~ssItem(X0)|~cons(X0,nil)=sk3|ssItem(sk5(X0))|~memberP(sk4,X0))),
% 0.13/0.39 inference(forward_demodulation,[status(thm)],[f439,f556])).
% 0.13/0.39 fof(f558,plain,(
% 0.13/0.39 ~ssItem(sk6)|ssItem(sk5(sk6))|~memberP(sk4,sk6)|~sQ7_spl),
% 0.13/0.39 inference(resolution,[status(thm)],[f557,f482])).
% 0.13/0.39 fof(f560,definition,(
% 0.13/0.39 sQ10_spl <=> (ssItem(sk5(sk6)))),
% 0.13/0.39 introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition])).
% 0.13/0.39 fof(f563,plain,(
% 0.13/0.39 ~sQ4_spl|sQ10_spl|~sQ8_spl|~sQ7_spl),
% 0.13/0.39 inference(split_clause,[status(thm)],[f558,f470,f560,f485,f481])).
% 0.13/0.39 fof(f568,plain,(
% 0.13/0.39 $false|sQ3_spl|~sQ6_spl),
% 0.13/0.39 inference(forward_subsumption_resolution,[status(thm)],[f478,f533])).
% 0.13/0.39 fof(f569,plain,(
% 0.13/0.39 sQ3_spl|~sQ6_spl),
% 0.13/0.39 inference(contradiction_clause,[status(thm)],[f568])).
% 0.13/0.39 fof(f592,plain,(
% 0.13/0.39 ~sk3=nil|~ssItem(sk6)|~ssList(nil)|~sQ7_spl),
% 0.13/0.39 inference(paramodulation,[status(thm)],[f482,f306])).
% 0.13/0.39 fof(f596,definition,(
% 0.13/0.39 sQ12_spl <=> (ssList(nil))),
% 0.13/0.39 introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition])).
% 0.13/0.39 fof(f598,plain,(
% 0.13/0.39 ~ssList(nil)|sQ12_spl),
% 0.13/0.39 inference(component_clause,[status(thm)],[f596])).
% 0.13/0.39 fof(f599,plain,(
% 0.13/0.39 ~sQ6_spl|~sQ4_spl|~sQ12_spl|~sQ7_spl),
% 0.13/0.39 inference(split_clause,[status(thm)],[f592,f477,f470,f596,f481])).
% 0.13/0.39 fof(f601,plain,(
% 0.13/0.39 $false|sQ12_spl),
% 0.13/0.39 inference(forward_subsumption_resolution,[status(thm)],[f598,f212])).
% 0.13/0.39 fof(f602,plain,(
% 0.13/0.39 sQ12_spl),
% 0.13/0.39 inference(contradiction_clause,[status(thm)],[f601])).
% 0.13/0.39 fof(f603,plain,(
% 0.13/0.39 ![X0]: (~ssItem(X0)|~cons(X0,nil)=sk3|memberP(sk2,sk5(X0))|~memberP(sk2,X0))),
% 0.13/0.39 inference(forward_demodulation,[status(thm)],[f440,f442])).
% 0.13/0.39 fof(f604,plain,(
% 0.13/0.39 ![X0]: (~ssItem(X0)|~cons(X0,nil)=sk3|memberP(sk4,sk5(X0))|~memberP(sk2,X0))),
% 0.13/0.39 inference(forward_demodulation,[status(thm)],[f439,f603])).
% 0.13/0.39 fof(f605,plain,(
% 0.13/0.39 ![X0]: (~ssItem(X0)|~cons(X0,nil)=sk3|memberP(sk4,sk5(X0))|~memberP(sk4,X0))),
% 0.13/0.39 inference(forward_demodulation,[status(thm)],[f439,f604])).
% 0.13/0.39 fof(f606,plain,(
% 0.13/0.39 ~ssItem(sk6)|~cons(sk6,nil)=sk3|memberP(sk4,sk5(sk6))|~sQ8_spl),
% 0.13/0.39 inference(resolution,[status(thm)],[f605,f486])).
% 0.13/0.39 fof(f607,definition,(
% 0.13/0.39 sQ13_spl <=> (memberP(sk4,sk5(sk6)))),
% 0.13/0.39 introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition])).
% 0.13/0.39 fof(f610,plain,(
% 0.13/0.39 ~sQ4_spl|~sQ7_spl|sQ13_spl|~sQ8_spl),
% 0.13/0.39 inference(split_clause,[status(thm)],[f606,f470,f481,f607,f485])).
% 0.13/0.39 fof(f621,plain,(
% 0.13/0.39 ~leq(sk6,sk6)|~ssItem(sk6)|~ssItem(sk6)|sk6=sk6|~sQ4_spl),
% 0.13/0.39 inference(resolution,[status(thm)],[f347,f534])).
% 0.13/0.39 fof(f622,plain,(
% 0.13/0.39 ~leq(skac2,skac2)|~ssItem(skac2)|~ssItem(skac2)|skac2=skac2),
% 0.13/0.39 inference(resolution,[status(thm)],[f347,f539])).
% 0.13/0.39 fof(f623,plain,(
% 0.13/0.39 ~leq(skac3,skac3)|~ssItem(skac3)|~ssItem(skac3)|skac3=skac3),
% 0.13/0.39 inference(resolution,[status(thm)],[f347,f537])).
% 0.13/0.39 fof(f624,definition,(
% 0.13/0.39 sQ14_spl <=> (leq(sk6,sk6))),
% 0.13/0.39 introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition])).
% 0.13/0.39 fof(f626,plain,(
% 0.13/0.39 ~leq(sk6,sk6)|sQ14_spl),
% 0.13/0.39 inference(component_clause,[status(thm)],[f624])).
% 0.13/0.39 fof(f627,definition,(
% 0.13/0.39 sQ15_spl <=> (sk6=sk6)),
% 0.13/0.39 introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition])).
% 0.13/0.39 fof(f630,plain,(
% 0.13/0.39 ~sQ14_spl|~sQ4_spl|sQ15_spl),
% 0.13/0.39 inference(split_clause,[status(thm)],[f621,f624,f470,f627])).
% 0.13/0.39 fof(f631,definition,(
% 0.13/0.39 sQ16_spl <=> (leq(skac2,skac2))),
% 0.13/0.39 introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition])).
% 0.13/0.39 fof(f633,plain,(
% 0.13/0.39 ~leq(skac2,skac2)|sQ16_spl),
% 0.13/0.39 inference(component_clause,[status(thm)],[f631])).
% 0.13/0.39 fof(f634,definition,(
% 0.13/0.39 sQ17_spl <=> (ssItem(skac2))),
% 0.13/0.39 introduced(definition,[new_symbols(definition,[sQ17_spl])],[split_symbol_definition])).
% 0.13/0.39 fof(f636,plain,(
% 0.13/0.39 ~ssItem(skac2)|sQ17_spl),
% 0.13/0.39 inference(component_clause,[status(thm)],[f634])).
% 0.13/0.39 fof(f637,definition,(
% 0.13/0.39 sQ18_spl <=> (skac2=skac2)),
% 0.13/0.39 introduced(definition,[new_symbols(definition,[sQ18_spl])],[split_symbol_definition])).
% 0.13/0.39 fof(f640,plain,(
% 0.13/0.39 ~sQ16_spl|~sQ17_spl|sQ18_spl),
% 0.13/0.39 inference(split_clause,[status(thm)],[f622,f631,f634,f637])).
% 0.13/0.39 fof(f641,definition,(
% 0.13/0.39 sQ19_spl <=> (leq(skac3,skac3))),
% 0.13/0.39 introduced(definition,[new_symbols(definition,[sQ19_spl])],[split_symbol_definition])).
% 0.13/0.39 fof(f643,plain,(
% 0.13/0.39 ~leq(skac3,skac3)|sQ19_spl),
% 0.13/0.39 inference(component_clause,[status(thm)],[f641])).
% 0.13/0.39 fof(f644,definition,(
% 0.13/0.39 sQ20_spl <=> (ssItem(skac3))),
% 0.13/0.39 introduced(definition,[new_symbols(definition,[sQ20_spl])],[split_symbol_definition])).
% 0.13/0.39 fof(f646,plain,(
% 0.13/0.39 ~ssItem(skac3)|sQ20_spl),
% 0.13/0.39 inference(component_clause,[status(thm)],[f644])).
% 0.13/0.39 fof(f647,definition,(
% 0.13/0.39 sQ21_spl <=> (skac3=skac3)),
% 0.13/0.39 introduced(definition,[new_symbols(definition,[sQ21_spl])],[split_symbol_definition])).
% 0.13/0.39 fof(f650,plain,(
% 0.13/0.39 ~sQ19_spl|~sQ20_spl|sQ21_spl),
% 0.13/0.39 inference(split_clause,[status(thm)],[f623,f641,f644,f647])).
% 0.13/0.39 fof(f651,plain,(
% 0.13/0.39 $false|~sQ4_spl|sQ14_spl),
% 0.13/0.39 inference(forward_subsumption_resolution,[status(thm)],[f626,f534])).
% 0.13/0.39 fof(f652,plain,(
% 0.13/0.39 ~sQ4_spl|sQ14_spl),
% 0.13/0.39 inference(contradiction_clause,[status(thm)],[f651])).
% 0.13/0.39 fof(f653,plain,(
% 0.13/0.39 $false|sQ20_spl),
% 0.13/0.39 inference(forward_subsumption_resolution,[status(thm)],[f646,f213])).
% 0.13/0.39 fof(f654,plain,(
% 0.13/0.39 sQ20_spl),
% 0.13/0.39 inference(contradiction_clause,[status(thm)],[f653])).
% 0.13/0.39 fof(f655,plain,(
% 0.13/0.39 $false|sQ19_spl),
% 0.13/0.39 inference(forward_subsumption_resolution,[status(thm)],[f643,f537])).
% 0.13/0.39 fof(f656,plain,(
% 0.13/0.39 sQ19_spl),
% 0.13/0.39 inference(contradiction_clause,[status(thm)],[f655])).
% 0.13/0.39 fof(f729,plain,(
% 0.13/0.39 ![X0]: (~ssItem(X0)|~cons(X0,nil)=sk3|leq(X0,sk5(X0))|~memberP(sk2,X0))),
% 0.13/0.39 inference(forward_demodulation,[status(thm)],[f440,f443])).
% 0.13/0.39 fof(f730,plain,(
% 0.13/0.39 ![X0]: (~ssItem(X0)|~cons(X0,nil)=sk3|leq(X0,sk5(X0))|~memberP(sk4,X0))),
% 0.13/0.39 inference(forward_demodulation,[status(thm)],[f439,f729])).
% 0.13/0.39 fof(f732,plain,(
% 0.13/0.39 ~ssItem(sk6)|~cons(sk6,nil)=sk3|leq(sk6,sk5(sk6))|~sQ8_spl),
% 0.13/0.39 inference(resolution,[status(thm)],[f730,f486])).
% 0.13/0.39 fof(f737,definition,(
% 0.13/0.39 sQ25_spl <=> (leq(sk6,sk5(sk6)))),
% 0.13/0.39 introduced(definition,[new_symbols(definition,[sQ25_spl])],[split_symbol_definition])).
% 0.13/0.39 fof(f738,plain,(
% 0.13/0.39 leq(sk6,sk5(sk6))|~sQ25_spl),
% 0.13/0.39 inference(component_clause,[status(thm)],[f737])).
% 0.13/0.39 fof(f740,plain,(
% 0.13/0.39 ~sQ4_spl|~sQ7_spl|sQ25_spl|~sQ8_spl),
% 0.13/0.39 inference(split_clause,[status(thm)],[f732,f470,f481,f737,f485])).
% 0.13/0.39 fof(f750,definition,(
% 0.13/0.39 sQ27_spl <=> (sk6=sk5(sk6))),
% 0.13/0.39 introduced(definition,[new_symbols(definition,[sQ27_spl])],[split_symbol_definition])).
% 0.13/0.39 fof(f764,definition,(
% 0.13/0.39 sQ28_spl <=> (ssList(sk4))),
% 0.13/0.39 introduced(definition,[new_symbols(definition,[sQ28_spl])],[split_symbol_definition])).
% 0.13/0.39 fof(f766,plain,(
% 0.13/0.39 ~ssList(sk4)|sQ28_spl),
% 0.13/0.39 inference(component_clause,[status(thm)],[f764])).
% 0.13/0.39 fof(f771,plain,(
% 0.13/0.39 $false|sQ28_spl),
% 0.13/0.39 inference(forward_subsumption_resolution,[status(thm)],[f766,f438])).
% 0.13/0.39 fof(f772,plain,(
% 0.13/0.39 sQ28_spl),
% 0.13/0.39 inference(contradiction_clause,[status(thm)],[f771])).
% 0.13/0.39 fof(f918,plain,(
% 0.13/0.39 ![X0]: (~ssItem(X0)|~cons(X0,nil)=sk3|~X0=sk5(X0)|~memberP(sk2,X0))),
% 0.13/0.39 inference(forward_demodulation,[status(thm)],[f440,f444])).
% 0.13/0.39 fof(f919,plain,(
% 0.13/0.39 ![X0]: (~ssItem(X0)|~cons(X0,nil)=sk3|~X0=sk5(X0)|~memberP(sk4,X0))),
% 0.13/0.39 inference(forward_demodulation,[status(thm)],[f439,f918])).
% 0.13/0.40 fof(f920,plain,(
% 0.13/0.40 ~ssItem(sk6)|~sk6=sk5(sk6)|~memberP(sk4,sk6)|~sQ7_spl),
% 0.13/0.40 inference(resolution,[status(thm)],[f919,f482])).
% 0.13/0.40 fof(f922,plain,(
% 0.13/0.40 ~sQ4_spl|~sQ27_spl|~sQ8_spl|~sQ7_spl),
% 0.13/0.40 inference(split_clause,[status(thm)],[f920,f470,f750,f485,f481])).
% 0.13/0.40 fof(f971,plain,(
% 0.13/0.40 ![X0]: (~leq(X0,sk6)|~ssItem(sk6)|~ssItem(sk6)|~ssItem(X0)|leq(X0,sk6)|~sQ4_spl)),
% 0.13/0.40 inference(resolution,[status(thm)],[f387,f534])).
% 0.13/0.40 fof(f972,plain,(
% 0.13/0.40 ![X0]: (~leq(X0,skac2)|~ssItem(skac2)|~ssItem(skac2)|~ssItem(X0)|leq(X0,skac2))),
% 0.13/0.40 inference(resolution,[status(thm)],[f387,f539])).
% 0.13/0.40 fof(f973,plain,(
% 0.13/0.40 ![X0]: (~leq(X0,skac3)|~ssItem(skac3)|~ssItem(skac3)|~ssItem(X0)|leq(X0,skac3))),
% 0.13/0.40 inference(resolution,[status(thm)],[f387,f537])).
% 0.13/0.40 fof(f982,definition,(
% 0.13/0.40 ![X0]: (sQ36_spl <=> (~leq(X0,sk6)|~ssItem(X0)|leq(X0,sk6)))),
% 0.13/0.40 introduced(definition,[new_symbols(definition,[sQ36_spl])],[split_symbol_definition])).
% 0.13/0.40 fof(f985,plain,(
% 0.13/0.40 sQ36_spl|~sQ4_spl),
% 0.13/0.40 inference(split_clause,[status(thm)],[f971,f982,f470])).
% 0.13/0.40 fof(f986,definition,(
% 0.13/0.40 ![X0]: (sQ37_spl <=> (~leq(X0,skac2)|~ssItem(X0)|leq(X0,skac2)))),
% 0.13/0.40 introduced(definition,[new_symbols(definition,[sQ37_spl])],[split_symbol_definition])).
% 0.13/0.40 fof(f989,plain,(
% 0.13/0.40 sQ37_spl|~sQ17_spl),
% 0.13/0.40 inference(split_clause,[status(thm)],[f972,f986,f634])).
% 0.13/0.40 fof(f990,definition,(
% 0.13/0.40 ![X0]: (sQ38_spl <=> (~leq(X0,skac3)|~ssItem(X0)|leq(X0,skac3)))),
% 0.13/0.40 introduced(definition,[new_symbols(definition,[sQ38_spl])],[split_symbol_definition])).
% 0.13/0.40 fof(f993,plain,(
% 0.13/0.40 sQ38_spl|~sQ20_spl),
% 0.13/0.40 inference(split_clause,[status(thm)],[f973,f990,f644])).
% 0.13/0.40 fof(f1001,plain,(
% 0.13/0.40 $false|sQ17_spl),
% 0.13/0.40 inference(forward_subsumption_resolution,[status(thm)],[f636,f214])).
% 0.13/0.40 fof(f1002,plain,(
% 0.13/0.40 sQ17_spl),
% 0.13/0.40 inference(contradiction_clause,[status(thm)],[f1001])).
% 0.13/0.40 fof(f1003,plain,(
% 0.13/0.40 $false|sQ16_spl),
% 0.13/0.40 inference(forward_subsumption_resolution,[status(thm)],[f633,f539])).
% 0.13/0.40 fof(f1004,plain,(
% 0.13/0.40 sQ16_spl),
% 0.13/0.40 inference(contradiction_clause,[status(thm)],[f1003])).
% 0.13/0.40 fof(f1113,plain,(
% 0.13/0.40 ~ssItem(sk5(sk6))|sk6=sk5(sk6)|~memberP(sk4,sk5(sk6))|~sQ9_spl|~sQ25_spl),
% 0.13/0.40 inference(resolution,[status(thm)],[f490,f738])).
% 0.13/0.40 fof(f1116,plain,(
% 0.13/0.40 ~sQ10_spl|sQ27_spl|~sQ13_spl|~sQ9_spl|~sQ25_spl),
% 0.13/0.40 inference(split_clause,[status(thm)],[f1113,f560,f750,f607,f489,f737])).
% 0.13/0.40 fof(f1122,plain,(
% 0.13/0.40 $false),
% 0.13/0.40 inference(sat_refutation,[status(thm)],[f469,f476,f480,f484,f493,f494,f495,f532,f563,f569,f599,f602,f610,f630,f640,f650,f652,f654,f656,f740,f772,f922,f985,f989,f993,f1002,f1004,f1116])).
% 0.13/0.40 % SZS output end CNFRefutation for theBenchmark.p
% 0.13/0.41 % Elapsed time: 0.045850 seconds
% 0.13/0.41 % CPU time: 0.129321 seconds
% 0.13/0.41 % Total memory used: 28.336 MB
% 0.13/0.41 % Net memory used: 28.245 MB
%------------------------------------------------------------------------------