%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SWC059-1 : 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 : n005.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 02:41:28 PM UTC 2026
% Result : Unsatisfiable 0.14s 0.40s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWC059-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n005.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Mon Sep 21 07:52:03 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.14/0.38 % Drodi V4.1.1
% 0.14/0.40 % Refutation found
% 0.14/0.40 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.14/0.40 % SZS output start CNFRefutation for theBenchmark
% 0.14/0.40 fof(f8,axiom,(
% 0.14/0.40 ssList(nil) ),
% 0.14/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.40 fof(f13,axiom,(
% 0.14/0.40 (![U]: (ssList(skaf82(U)) ))),
% 0.14/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.40 fof(f56,axiom,(
% 0.14/0.40 (![U]: (( ~ ssList(U)| segmentP(U,nil) ) ))),
% 0.14/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.40 fof(f57,axiom,(
% 0.14/0.40 (![U]: (( ~ ssList(U)| segmentP(U,U) ) ))),
% 0.14/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.40 fof(f79,axiom,(
% 0.14/0.40 (![U]: (( nil != U| ~ ssList(U)| segmentP(nil,U) ) ))),
% 0.14/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.40 fof(f115,axiom,(
% 0.14/0.40 (![U,V]: (( U != V| ~ neq(U,V)| ~ ssList(V)| ~ ssList(U) ) ))),
% 0.14/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.40 fof(f127,axiom,(
% 0.14/0.40 (![U,V]: (( ~ segmentP(U,V)| ~ segmentP(V,U)| ~ ssList(U)| ~ ssList(V)| V = U ) ))),
% 0.14/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.40 fof(f152,axiom,(
% 0.14/0.40 (![U,V,W]: (( ~ segmentP(U,V)| ~ segmentP(V,W)| ~ ssList(W)| ~ ssList(V)| ~ ssList(U)| segmentP(U,W) ) ))),
% 0.14/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.40 fof(f172,axiom,(
% 0.14/0.40 (![U,V,W,X]: (( ~ segmentP(U,V)| ~ ssList(W)| ~ ssList(X)| ~ ssList(V)| ~ ssList(U)| segmentP(app(app(X,U),W),V) ) ))),
% 0.14/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.40 fof(f188,negated_conjecture,(
% 0.14/0.40 ssList(sk3) ),
% 0.14/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.40 fof(f189,negated_conjecture,(
% 0.14/0.40 ssList(sk4) ),
% 0.14/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.40 fof(f190,negated_conjecture,(
% 0.14/0.40 sk2 = sk4 ),
% 0.14/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.40 fof(f191,negated_conjecture,(
% 0.14/0.40 sk1 = sk3 ),
% 0.14/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.40 fof(f192,negated_conjecture,(
% 0.14/0.40 ( nil = sk3| nil != sk4 ) ),
% 0.14/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.40 fof(f193,negated_conjecture,(
% 0.14/0.40 ( ~ neq(sk4,nil)| neq(sk3,nil) ) ),
% 0.14/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.40 fof(f194,negated_conjecture,(
% 0.14/0.40 ( ~ neq(sk4,nil)| segmentP(sk4,sk3) ) ),
% 0.14/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.40 fof(f195,negated_conjecture,(
% 0.14/0.40 ( nil = sk2| neq(sk2,nil) ) ),
% 0.14/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.40 fof(f196,negated_conjecture,(
% 0.14/0.40 (![A]: (( nil = sk2| ~ ssList(A)| ~ neq(A,nil)| ~ segmentP(sk2,A)| ~ segmentP(sk1,A) ) ))),
% 0.14/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.40 fof(f197,negated_conjecture,(
% 0.14/0.40 ( nil != sk1| neq(sk2,nil) ) ),
% 0.14/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.40 fof(f206,plain,(
% 0.14/0.40 ssList(nil)),
% 0.14/0.40 inference(cnf_transformation,[status(thm)],[f8])).
% 0.14/0.40 fof(f211,plain,(
% 0.14/0.40 ![X0]: (ssList(skaf82(X0)))),
% 0.14/0.40 inference(cnf_transformation,[status(thm)],[f13])).
% 0.14/0.40 fof(f254,plain,(
% 0.14/0.40 ![X0]: (~ssList(X0)|segmentP(X0,nil))),
% 0.14/0.40 inference(cnf_transformation,[status(thm)],[f56])).
% 0.14/0.40 fof(f255,plain,(
% 0.14/0.40 ![X0]: (~ssList(X0)|segmentP(X0,X0))),
% 0.14/0.40 inference(cnf_transformation,[status(thm)],[f57])).
% 0.14/0.40 fof(f278,plain,(
% 0.14/0.40 ![X0]: (~nil=X0|~ssList(X0)|segmentP(nil,X0))),
% 0.14/0.40 inference(cnf_transformation,[status(thm)],[f79])).
% 0.14/0.40 fof(f319,plain,(
% 0.14/0.40 ![U]: ((![V]: ((~U=V|~neq(U,V))|~ssList(V)))|~ssList(U))),
% 0.14/0.40 inference(miniscoping,[status(thm)],[f115])).
% 0.14/0.40 fof(f320,plain,(
% 0.14/0.40 ![X0,X1]: (~X0=X1|~neq(X0,X1)|~ssList(X1)|~ssList(X0))),
% 0.14/0.40 inference(cnf_transformation,[status(thm)],[f319])).
% 0.14/0.40 fof(f338,plain,(
% 0.14/0.40 ![X0,X1]: (~segmentP(X0,X1)|~segmentP(X1,X0)|~ssList(X0)|~ssList(X1)|X1=X0)),
% 0.14/0.40 inference(cnf_transformation,[status(thm)],[f127])).
% 0.14/0.40 fof(f372,plain,(
% 0.14/0.40 ![U,W]: (((![V]: (((~segmentP(U,V)|~segmentP(V,W))|~ssList(W))|~ssList(V)))|~ssList(U))|segmentP(U,W))),
% 0.14/0.40 inference(miniscoping,[status(thm)],[f152])).
% 0.14/0.40 fof(f373,plain,(
% 0.14/0.40 ![X0,X1,X2]: (~segmentP(X0,X1)|~segmentP(X1,X2)|~ssList(X2)|~ssList(X1)|~ssList(X0)|segmentP(X0,X2))),
% 0.14/0.40 inference(cnf_transformation,[status(thm)],[f372])).
% 0.14/0.40 fof(f403,plain,(
% 0.14/0.40 ![X0,X1,X2,X3]: (~segmentP(X0,X1)|~ssList(X2)|~ssList(X3)|~ssList(X1)|~ssList(X0)|segmentP(app(app(X3,X0),X2),X1))),
% 0.14/0.40 inference(cnf_transformation,[status(thm)],[f172])).
% 0.14/0.40 fof(f431,plain,(
% 0.14/0.40 ssList(sk3)),
% 0.14/0.40 inference(cnf_transformation,[status(thm)],[f188])).
% 0.14/0.40 fof(f432,plain,(
% 0.14/0.40 ssList(sk4)),
% 0.14/0.40 inference(cnf_transformation,[status(thm)],[f189])).
% 0.14/0.40 fof(f433,plain,(
% 0.14/0.40 sk2=sk4),
% 0.14/0.40 inference(cnf_transformation,[status(thm)],[f190])).
% 0.14/0.40 fof(f434,plain,(
% 0.14/0.40 sk1=sk3),
% 0.14/0.40 inference(cnf_transformation,[status(thm)],[f191])).
% 0.14/0.40 fof(f435,plain,(
% 0.14/0.40 nil=sk3|~nil=sk4),
% 0.14/0.40 inference(cnf_transformation,[status(thm)],[f192])).
% 0.14/0.40 fof(f436,plain,(
% 0.14/0.40 ~neq(sk4,nil)|neq(sk3,nil)),
% 0.14/0.40 inference(cnf_transformation,[status(thm)],[f193])).
% 0.14/0.40 fof(f437,plain,(
% 0.14/0.40 ~neq(sk4,nil)|segmentP(sk4,sk3)),
% 0.14/0.40 inference(cnf_transformation,[status(thm)],[f194])).
% 0.14/0.40 fof(f438,plain,(
% 0.14/0.40 nil=sk2|neq(sk2,nil)),
% 0.14/0.40 inference(cnf_transformation,[status(thm)],[f195])).
% 0.14/0.40 fof(f439,plain,(
% 0.14/0.40 ![X0]: (nil=sk2|~ssList(X0)|~neq(X0,nil)|~segmentP(sk2,X0)|~segmentP(sk1,X0))),
% 0.14/0.40 inference(cnf_transformation,[status(thm)],[f196])).
% 0.14/0.40 fof(f440,plain,(
% 0.14/0.40 ~nil=sk1|neq(sk2,nil)),
% 0.14/0.40 inference(cnf_transformation,[status(thm)],[f197])).
% 0.14/0.40 fof(f449,definition,(
% 0.14/0.40 sQ2_spl <=> (nil=sk3)),
% 0.14/0.40 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 0.14/0.40 fof(f450,plain,(
% 0.14/0.40 nil=sk3|~sQ2_spl),
% 0.14/0.40 inference(component_clause,[status(thm)],[f449])).
% 0.14/0.40 fof(f452,definition,(
% 0.14/0.40 sQ3_spl <=> (nil=sk4)),
% 0.14/0.40 introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition])).
% 0.14/0.40 fof(f453,plain,(
% 0.14/0.40 nil=sk4|~sQ3_spl),
% 0.14/0.40 inference(component_clause,[status(thm)],[f452])).
% 0.14/0.40 fof(f454,plain,(
% 0.14/0.40 ~nil=sk4|sQ3_spl),
% 0.14/0.40 inference(component_clause,[status(thm)],[f452])).
% 0.14/0.40 fof(f455,plain,(
% 0.14/0.40 sQ2_spl|~sQ3_spl),
% 0.14/0.40 inference(split_clause,[status(thm)],[f435,f449,f452])).
% 0.14/0.40 fof(f456,definition,(
% 0.14/0.40 sQ4_spl <=> (neq(sk4,nil))),
% 0.14/0.40 introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition])).
% 0.14/0.40 fof(f458,plain,(
% 0.14/0.40 ~neq(sk4,nil)|sQ4_spl),
% 0.14/0.40 inference(component_clause,[status(thm)],[f456])).
% 0.14/0.40 fof(f459,definition,(
% 0.14/0.40 sQ5_spl <=> (neq(sk3,nil))),
% 0.14/0.40 introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition])).
% 0.14/0.40 fof(f460,plain,(
% 0.14/0.40 neq(sk3,nil)|~sQ5_spl),
% 0.14/0.40 inference(component_clause,[status(thm)],[f459])).
% 0.14/0.40 fof(f462,plain,(
% 0.14/0.40 ~sQ4_spl|sQ5_spl),
% 0.14/0.40 inference(split_clause,[status(thm)],[f436,f456,f459])).
% 0.14/0.40 fof(f463,definition,(
% 0.14/0.40 sQ6_spl <=> (segmentP(sk4,sk3))),
% 0.14/0.40 introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition])).
% 0.14/0.40 fof(f466,plain,(
% 0.14/0.40 ~sQ4_spl|sQ6_spl),
% 0.14/0.40 inference(split_clause,[status(thm)],[f437,f456,f463])).
% 0.14/0.40 fof(f467,definition,(
% 0.14/0.40 sQ7_spl <=> (nil=sk2)),
% 0.14/0.40 introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition])).
% 0.14/0.40 fof(f468,plain,(
% 0.14/0.40 nil=sk2|~sQ7_spl),
% 0.14/0.40 inference(component_clause,[status(thm)],[f467])).
% 0.14/0.40 fof(f470,definition,(
% 0.14/0.40 sQ8_spl <=> (neq(sk2,nil))),
% 0.14/0.40 introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition])).
% 0.14/0.40 fof(f471,plain,(
% 0.14/0.40 neq(sk2,nil)|~sQ8_spl),
% 0.14/0.40 inference(component_clause,[status(thm)],[f470])).
% 0.14/0.40 fof(f473,plain,(
% 0.14/0.40 sQ7_spl|sQ8_spl),
% 0.14/0.40 inference(split_clause,[status(thm)],[f438,f467,f470])).
% 0.14/0.40 fof(f474,definition,(
% 0.14/0.40 ![X0]: (sQ9_spl <=> (~ssList(X0)|~neq(X0,nil)|~segmentP(sk2,X0)|~segmentP(sk1,X0)))),
% 0.14/0.40 introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition])).
% 0.14/0.40 fof(f475,plain,(
% 0.14/0.40 ![X0]: (~ssList(X0)|~neq(X0,nil)|~segmentP(sk2,X0)|~segmentP(sk1,X0)|~sQ9_spl)),
% 0.14/0.40 inference(component_clause,[status(thm)],[f474])).
% 0.14/0.40 fof(f477,plain,(
% 0.14/0.40 sQ7_spl|sQ9_spl),
% 0.14/0.40 inference(split_clause,[status(thm)],[f439,f467,f474])).
% 0.14/0.40 fof(f478,definition,(
% 0.14/0.40 sQ10_spl <=> (nil=sk1)),
% 0.14/0.40 introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition])).
% 0.14/0.40 fof(f480,plain,(
% 0.14/0.40 ~nil=sk1|sQ10_spl),
% 0.14/0.40 inference(component_clause,[status(thm)],[f478])).
% 0.14/0.40 fof(f481,plain,(
% 0.14/0.40 ~sQ10_spl|sQ8_spl),
% 0.14/0.40 inference(split_clause,[status(thm)],[f440,f478,f470])).
% 0.14/0.40 fof(f483,plain,(
% 0.14/0.40 ~ssList(nil)|segmentP(nil,nil)),
% 0.14/0.40 inference(destructive_equality_resolution,[status(thm)],[f278])).
% 0.14/0.40 fof(f490,plain,(
% 0.14/0.40 ![X1]: (~neq(X1,X1)|~ssList(X1)|~ssList(X1))),
% 0.14/0.40 inference(destructive_equality_resolution,[status(thm)],[f320])).
% 0.14/0.40 fof(f491,plain,(
% 0.14/0.40 ![X0]: (~neq(X0,X0)|~ssList(X0))),
% 0.14/0.40 inference(duplicate_literals_removal,[status(thm)],[f490])).
% 0.14/0.40 fof(f514,plain,(
% 0.14/0.40 ~nil=sk3|sQ10_spl),
% 0.14/0.40 inference(forward_demodulation,[status(thm)],[f434,f480])).
% 0.14/0.40 fof(f515,plain,(
% 0.14/0.40 ~sk4=sk3|~sQ7_spl|sQ10_spl),
% 0.14/0.40 inference(backward_demodulation,[status(thm)],[f517,f514])).
% 0.14/0.40 fof(f517,plain,(
% 0.14/0.40 nil=sk4|~sQ7_spl),
% 0.14/0.40 inference(forward_demodulation,[status(thm)],[f433,f468])).
% 0.14/0.40 fof(f520,plain,(
% 0.14/0.40 sk4=sk3|~sQ7_spl|~sQ2_spl),
% 0.14/0.40 inference(forward_demodulation,[status(thm)],[f517,f450])).
% 0.14/0.40 fof(f521,plain,(
% 0.14/0.40 ~sk4=sk4|~sQ2_spl|~sQ7_spl|sQ10_spl),
% 0.14/0.40 inference(forward_demodulation,[status(thm)],[f520,f515])).
% 0.14/0.40 fof(f522,plain,(
% 0.14/0.40 $false|~sQ2_spl|~sQ7_spl|sQ10_spl),
% 0.14/0.40 inference(trivial_equality_resolution,[status(thm)],[f521])).
% 0.14/0.40 fof(f523,plain,(
% 0.14/0.40 ~sQ2_spl|~sQ7_spl|sQ10_spl),
% 0.14/0.40 inference(contradiction_clause,[status(thm)],[f522])).
% 0.14/0.40 fof(f524,plain,(
% 0.14/0.40 neq(sk4,nil)|~sQ8_spl),
% 0.14/0.40 inference(forward_demodulation,[status(thm)],[f433,f471])).
% 0.14/0.40 fof(f525,plain,(
% 0.14/0.40 ![X0]: (~ssList(X0)|~neq(X0,nil)|~segmentP(sk4,X0)|~segmentP(sk1,X0)|~sQ9_spl)),
% 0.14/0.40 inference(forward_demodulation,[status(thm)],[f433,f475])).
% 0.14/0.40 fof(f528,plain,(
% 0.14/0.40 segmentP(sk3,nil)),
% 0.14/0.40 inference(resolution,[status(thm)],[f254,f431])).
% 0.14/0.40 fof(f529,plain,(
% 0.14/0.40 segmentP(sk4,nil)),
% 0.14/0.40 inference(resolution,[status(thm)],[f254,f432])).
% 0.14/0.40 fof(f530,plain,(
% 0.14/0.40 segmentP(nil,nil)),
% 0.14/0.40 inference(resolution,[status(thm)],[f255,f206])).
% 0.14/0.40 fof(f531,plain,(
% 0.14/0.40 segmentP(sk3,sk3)),
% 0.14/0.40 inference(resolution,[status(thm)],[f255,f431])).
% 0.14/0.40 fof(f532,plain,(
% 0.14/0.40 segmentP(sk4,sk4)),
% 0.14/0.40 inference(resolution,[status(thm)],[f255,f432])).
% 0.14/0.40 fof(f534,plain,(
% 0.14/0.40 ![X0]: (segmentP(skaf82(X0),nil))),
% 0.14/0.40 inference(resolution,[status(thm)],[f211,f254])).
% 0.14/0.40 fof(f539,plain,(
% 0.14/0.40 $false|sQ4_spl|~sQ8_spl),
% 0.14/0.40 inference(forward_subsumption_resolution,[status(thm)],[f524,f458])).
% 0.14/0.40 fof(f540,plain,(
% 0.14/0.40 sQ4_spl|~sQ8_spl),
% 0.14/0.40 inference(contradiction_clause,[status(thm)],[f539])).
% 0.14/0.40 fof(f541,plain,(
% 0.14/0.40 $false|sQ3_spl|~sQ7_spl),
% 0.14/0.40 inference(forward_subsumption_resolution,[status(thm)],[f517,f454])).
% 0.14/0.40 fof(f542,plain,(
% 0.14/0.40 sQ3_spl|~sQ7_spl),
% 0.14/0.40 inference(contradiction_clause,[status(thm)],[f541])).
% 0.14/0.40 fof(f557,plain,(
% 0.14/0.40 sk4=sk3|~sQ3_spl|~sQ2_spl),
% 0.14/0.40 inference(forward_demodulation,[status(thm)],[f453,f450])).
% 0.14/0.40 fof(f586,definition,(
% 0.14/0.40 sQ11_spl <=> (ssList(sk4))),
% 0.14/0.40 introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition])).
% 0.14/0.40 fof(f588,plain,(
% 0.14/0.40 ~ssList(sk4)|sQ11_spl),
% 0.14/0.40 inference(component_clause,[status(thm)],[f586])).
% 0.14/0.40 fof(f593,plain,(
% 0.14/0.40 $false|sQ11_spl),
% 0.14/0.40 inference(forward_subsumption_resolution,[status(thm)],[f588,f432])).
% 0.14/0.40 fof(f594,plain,(
% 0.14/0.40 sQ11_spl),
% 0.14/0.40 inference(contradiction_clause,[status(thm)],[f593])).
% 0.14/0.40 fof(f595,plain,(
% 0.14/0.40 neq(sk4,nil)|~sQ3_spl|~sQ2_spl|~sQ5_spl),
% 0.14/0.40 inference(forward_demodulation,[status(thm)],[f557,f460])).
% 0.14/0.40 fof(f596,plain,(
% 0.14/0.40 neq(sk4,sk4)|~sQ3_spl|~sQ2_spl|~sQ5_spl),
% 0.14/0.40 inference(forward_demodulation,[status(thm)],[f453,f595])).
% 0.14/0.40 fof(f608,plain,(
% 0.14/0.40 ~ssList(sk4)|~sQ3_spl|~sQ2_spl|~sQ5_spl),
% 0.14/0.40 inference(resolution,[status(thm)],[f491,f596])).
% 0.14/0.40 fof(f609,plain,(
% 0.14/0.40 ~sQ11_spl|~sQ3_spl|~sQ2_spl|~sQ5_spl),
% 0.14/0.40 inference(split_clause,[status(thm)],[f608,f586,f452,f449,f459])).
% 0.14/0.40 fof(f610,definition,(
% 0.14/0.40 sQ13_spl <=> (ssList(nil))),
% 0.14/0.40 introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition])).
% 0.14/0.40 fof(f612,plain,(
% 0.14/0.40 ~ssList(nil)|sQ13_spl),
% 0.14/0.40 inference(component_clause,[status(thm)],[f610])).
% 0.14/0.40 fof(f613,definition,(
% 0.14/0.40 sQ14_spl <=> (segmentP(nil,nil))),
% 0.14/0.40 introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition])).
% 0.14/0.40 fof(f616,plain,(
% 0.14/0.40 ~sQ13_spl|sQ14_spl),
% 0.14/0.40 inference(split_clause,[status(thm)],[f483,f610,f613])).
% 0.14/0.40 fof(f653,plain,(
% 0.14/0.40 ![X0]: (~segmentP(nil,skaf82(X0))|~ssList(nil)|~ssList(skaf82(X0))|skaf82(X0)=nil)),
% 0.14/0.40 inference(resolution,[status(thm)],[f338,f534])).
% 0.14/0.40 fof(f654,plain,(
% 0.14/0.40 ~segmentP(nil,nil)|~ssList(nil)|~ssList(nil)|nil=nil),
% 0.14/0.40 inference(resolution,[status(thm)],[f338,f530])).
% 0.14/0.40 fof(f656,plain,(
% 0.14/0.40 ~segmentP(sk3,sk3)|~ssList(sk3)|~ssList(sk3)|sk3=sk3),
% 0.14/0.40 inference(resolution,[status(thm)],[f338,f531])).
% 0.14/0.40 fof(f660,definition,(
% 0.14/0.40 ![X0]: (sQ15_spl <=> (~segmentP(nil,skaf82(X0))|~ssList(skaf82(X0))|skaf82(X0)=nil))),
% 0.14/0.40 introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition])).
% 0.14/0.40 fof(f663,plain,(
% 0.14/0.40 sQ15_spl|~sQ13_spl),
% 0.14/0.40 inference(split_clause,[status(thm)],[f653,f660,f610])).
% 0.14/0.40 fof(f664,definition,(
% 0.14/0.40 sQ16_spl <=> (nil=nil)),
% 0.14/0.40 introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition])).
% 0.14/0.40 fof(f667,plain,(
% 0.14/0.40 ~sQ14_spl|~sQ13_spl|sQ16_spl),
% 0.14/0.40 inference(split_clause,[status(thm)],[f654,f613,f610,f664])).
% 0.14/0.40 fof(f671,definition,(
% 0.14/0.40 sQ18_spl <=> (ssList(sk3))),
% 0.14/0.40 introduced(definition,[new_symbols(definition,[sQ18_spl])],[split_symbol_definition])).
% 0.14/0.40 fof(f673,plain,(
% 0.14/0.40 ~ssList(sk3)|sQ18_spl),
% 0.14/0.40 inference(component_clause,[status(thm)],[f671])).
% 0.14/0.40 fof(f675,definition,(
% 0.14/0.40 sQ19_spl <=> (segmentP(sk3,sk3))),
% 0.14/0.40 introduced(definition,[new_symbols(definition,[sQ19_spl])],[split_symbol_definition])).
% 0.14/0.40 fof(f677,plain,(
% 0.14/0.40 ~segmentP(sk3,sk3)|sQ19_spl),
% 0.14/0.40 inference(component_clause,[status(thm)],[f675])).
% 0.14/0.40 fof(f678,definition,(
% 0.14/0.40 sQ20_spl <=> (sk3=sk3)),
% 0.14/0.40 introduced(definition,[new_symbols(definition,[sQ20_spl])],[split_symbol_definition])).
% 0.14/0.40 fof(f681,plain,(
% 0.14/0.40 ~sQ19_spl|~sQ18_spl|sQ20_spl),
% 0.14/0.40 inference(split_clause,[status(thm)],[f656,f675,f671,f678])).
% 0.14/0.40 fof(f697,plain,(
% 0.14/0.40 $false|sQ18_spl),
% 0.14/0.40 inference(forward_subsumption_resolution,[status(thm)],[f673,f431])).
% 0.14/0.40 fof(f698,plain,(
% 0.14/0.40 sQ18_spl),
% 0.14/0.40 inference(contradiction_clause,[status(thm)],[f697])).
% 0.14/0.40 fof(f699,plain,(
% 0.14/0.40 $false|sQ13_spl),
% 0.14/0.40 inference(forward_subsumption_resolution,[status(thm)],[f612,f206])).
% 0.14/0.40 fof(f700,plain,(
% 0.14/0.40 sQ13_spl),
% 0.14/0.40 inference(contradiction_clause,[status(thm)],[f699])).
% 0.14/0.40 fof(f701,plain,(
% 0.14/0.40 $false|sQ19_spl),
% 0.14/0.40 inference(forward_subsumption_resolution,[status(thm)],[f677,f531])).
% 0.14/0.40 fof(f702,plain,(
% 0.14/0.40 sQ19_spl),
% 0.14/0.40 inference(contradiction_clause,[status(thm)],[f701])).
% 0.14/0.40 fof(f704,plain,(
% 0.14/0.40 ![X0,X1]: (~segmentP(X0,skaf82(X1))|~ssList(nil)|~ssList(skaf82(X1))|~ssList(X0)|segmentP(X0,nil))),
% 0.14/0.40 inference(resolution,[status(thm)],[f373,f534])).
% 0.14/0.40 fof(f705,plain,(
% 0.14/0.40 ![X0]: (~segmentP(X0,nil)|~ssList(nil)|~ssList(nil)|~ssList(X0)|segmentP(X0,nil))),
% 0.14/0.40 inference(resolution,[status(thm)],[f373,f530])).
% 0.14/0.40 fof(f706,plain,(
% 0.14/0.40 ![X0]: (~segmentP(X0,sk3)|~ssList(nil)|~ssList(sk3)|~ssList(X0)|segmentP(X0,nil))),
% 0.14/0.40 inference(resolution,[status(thm)],[f373,f528])).
% 0.14/0.40 fof(f707,plain,(
% 0.14/0.40 ![X0]: (~segmentP(X0,sk3)|~ssList(sk3)|~ssList(sk3)|~ssList(X0)|segmentP(X0,sk3))),
% 0.14/0.40 inference(resolution,[status(thm)],[f373,f531])).
% 0.14/0.40 fof(f709,plain,(
% 0.14/0.40 ![X0]: (~segmentP(X0,sk4)|~ssList(nil)|~ssList(sk4)|~ssList(X0)|segmentP(X0,nil))),
% 0.14/0.40 inference(resolution,[status(thm)],[f373,f529])).
% 0.14/0.40 fof(f710,plain,(
% 0.14/0.40 ![X0]: (~segmentP(X0,sk4)|~ssList(sk4)|~ssList(sk4)|~ssList(X0)|segmentP(X0,sk4))),
% 0.14/0.40 inference(resolution,[status(thm)],[f373,f532])).
% 0.14/0.40 fof(f714,definition,(
% 0.14/0.40 ![X0,X1]: (sQ25_spl <=> (~segmentP(X0,skaf82(X1))|~ssList(skaf82(X1))|~ssList(X0)|segmentP(X0,nil)))),
% 0.14/0.40 introduced(definition,[new_symbols(definition,[sQ25_spl])],[split_symbol_definition])).
% 0.14/0.40 fof(f717,plain,(
% 0.14/0.40 sQ25_spl|~sQ13_spl),
% 0.14/0.40 inference(split_clause,[status(thm)],[f704,f714,f610])).
% 0.14/0.40 fof(f718,definition,(
% 0.14/0.40 ![X0]: (sQ26_spl <=> (~segmentP(X0,nil)|~ssList(X0)|segmentP(X0,nil)))),
% 0.14/0.40 introduced(definition,[new_symbols(definition,[sQ26_spl])],[split_symbol_definition])).
% 0.14/0.40 fof(f721,plain,(
% 0.14/0.40 sQ26_spl|~sQ13_spl),
% 0.14/0.40 inference(split_clause,[status(thm)],[f705,f718,f610])).
% 0.14/0.40 fof(f722,definition,(
% 0.14/0.40 ![X0]: (sQ27_spl <=> (~segmentP(X0,sk3)|~ssList(X0)|segmentP(X0,nil)))),
% 0.14/0.40 introduced(definition,[new_symbols(definition,[sQ27_spl])],[split_symbol_definition])).
% 0.14/0.40 fof(f725,plain,(
% 0.14/0.40 sQ27_spl|~sQ13_spl|~sQ18_spl),
% 0.14/0.40 inference(split_clause,[status(thm)],[f706,f722,f610,f671])).
% 0.14/0.40 fof(f726,definition,(
% 0.14/0.40 ![X0]: (sQ28_spl <=> (~segmentP(X0,sk3)|~ssList(X0)|segmentP(X0,sk3)))),
% 0.14/0.40 introduced(definition,[new_symbols(definition,[sQ28_spl])],[split_symbol_definition])).
% 0.14/0.40 fof(f729,plain,(
% 0.14/0.40 sQ28_spl|~sQ18_spl),
% 0.14/0.40 inference(split_clause,[status(thm)],[f707,f726,f671])).
% 0.14/0.40 fof(f734,definition,(
% 0.14/0.40 ![X0]: (sQ30_spl <=> (~segmentP(X0,sk4)|~ssList(X0)|segmentP(X0,nil)))),
% 0.14/0.40 introduced(definition,[new_symbols(definition,[sQ30_spl])],[split_symbol_definition])).
% 0.14/0.40 fof(f737,plain,(
% 0.14/0.40 sQ30_spl|~sQ13_spl|~sQ11_spl),
% 0.14/0.40 inference(split_clause,[status(thm)],[f709,f734,f610,f586])).
% 0.14/0.40 fof(f738,definition,(
% 0.14/0.40 ![X0]: (sQ31_spl <=> (~segmentP(X0,sk4)|~ssList(X0)|segmentP(X0,sk4)))),
% 0.14/0.40 introduced(definition,[new_symbols(definition,[sQ31_spl])],[split_symbol_definition])).
% 0.14/0.40 fof(f741,plain,(
% 0.14/0.40 sQ31_spl|~sQ11_spl),
% 0.14/0.40 inference(split_clause,[status(thm)],[f710,f738,f586])).
% 0.14/0.40 fof(f812,plain,(
% 0.14/0.40 ![X0]: (~ssList(X0)|~neq(X0,nil)|~segmentP(sk4,X0)|~segmentP(sk3,X0)|~sQ9_spl)),
% 0.14/0.40 inference(backward_demodulation,[status(thm)],[f434,f525])).
% 0.14/0.40 fof(f835,plain,(
% 0.14/0.40 ![X0,X1]: (~ssList(X0)|~ssList(X1)|~ssList(sk3)|~ssList(sk3)|segmentP(app(app(X1,sk3),X0),sk3))),
% 0.14/0.40 inference(resolution,[status(thm)],[f403,f531])).
% 0.14/0.40 fof(f836,plain,(
% 0.14/0.40 ![X0,X1]: (~ssList(X0)|~ssList(X1)|~ssList(nil)|~ssList(sk3)|segmentP(app(app(X1,sk3),X0),nil))),
% 0.14/0.40 inference(resolution,[status(thm)],[f403,f528])).
% 0.14/0.40 fof(f837,plain,(
% 0.14/0.40 ![X0,X1,X2]: (~ssList(X0)|~ssList(X1)|~ssList(nil)|~ssList(skaf82(X2))|segmentP(app(app(X1,skaf82(X2)),X0),nil))),
% 0.14/0.40 inference(resolution,[status(thm)],[f403,f534])).
% 0.14/0.40 fof(f838,plain,(
% 0.14/0.40 ![X0,X1]: (~ssList(X0)|~ssList(X1)|~ssList(nil)|~ssList(nil)|segmentP(app(app(X1,nil),X0),nil))),
% 0.14/0.40 inference(resolution,[status(thm)],[f403,f530])).
% 0.14/0.40 fof(f840,plain,(
% 0.14/0.40 ![X0,X1]: (~ssList(X0)|~ssList(X1)|~ssList(nil)|~ssList(sk4)|segmentP(app(app(X1,sk4),X0),nil))),
% 0.14/0.40 inference(resolution,[status(thm)],[f403,f529])).
% 0.14/0.40 fof(f841,plain,(
% 0.14/0.40 ![X0,X1]: (~ssList(X0)|~ssList(X1)|~ssList(sk4)|~ssList(sk4)|segmentP(app(app(X1,sk4),X0),sk4))),
% 0.14/0.40 inference(resolution,[status(thm)],[f403,f532])).
% 0.14/0.40 fof(f843,definition,(
% 0.14/0.40 ![X0,X1]: (sQ41_spl <=> (~ssList(X0)|~ssList(X1)|segmentP(app(app(X1,sk3),X0),sk3)))),
% 0.14/0.40 introduced(definition,[new_symbols(definition,[sQ41_spl])],[split_symbol_definition])).
% 0.14/0.40 fof(f846,plain,(
% 0.14/0.40 sQ41_spl|~sQ18_spl),
% 0.14/0.40 inference(split_clause,[status(thm)],[f835,f843,f671])).
% 0.14/0.40 fof(f847,definition,(
% 0.14/0.40 ![X0,X1]: (sQ42_spl <=> (~ssList(X0)|~ssList(X1)|segmentP(app(app(X1,sk3),X0),nil)))),
% 0.14/0.40 introduced(definition,[new_symbols(definition,[sQ42_spl])],[split_symbol_definition])).
% 0.14/0.40 fof(f850,plain,(
% 0.14/0.40 sQ42_spl|~sQ13_spl|~sQ18_spl),
% 0.14/0.40 inference(split_clause,[status(thm)],[f836,f847,f610,f671])).
% 0.14/0.40 fof(f851,definition,(
% 0.14/0.40 ![X0,X1,X2]: (sQ43_spl <=> (~ssList(X0)|~ssList(X1)|~ssList(skaf82(X2))|segmentP(app(app(X1,skaf82(X2)),X0),nil)))),
% 0.14/0.40 introduced(definition,[new_symbols(definition,[sQ43_spl])],[split_symbol_definition])).
% 0.14/0.40 fof(f854,plain,(
% 0.14/0.40 sQ43_spl|~sQ13_spl),
% 0.14/0.40 inference(split_clause,[status(thm)],[f837,f851,f610])).
% 0.14/0.40 fof(f855,definition,(
% 0.14/0.40 ![X0,X1]: (sQ44_spl <=> (~ssList(X0)|~ssList(X1)|segmentP(app(app(X1,nil),X0),nil)))),
% 0.14/0.40 introduced(definition,[new_symbols(definition,[sQ44_spl])],[split_symbol_definition])).
% 0.14/0.40 fof(f858,plain,(
% 0.14/0.40 sQ44_spl|~sQ13_spl),
% 0.14/0.40 inference(split_clause,[status(thm)],[f838,f855,f610])).
% 0.14/0.40 fof(f863,definition,(
% 0.14/0.40 ![X0,X1]: (sQ46_spl <=> (~ssList(X0)|~ssList(X1)|segmentP(app(app(X1,sk4),X0),nil)))),
% 0.14/0.40 introduced(definition,[new_symbols(definition,[sQ46_spl])],[split_symbol_definition])).
% 0.14/0.40 fof(f866,plain,(
% 0.14/0.40 sQ46_spl|~sQ13_spl|~sQ11_spl),
% 0.14/0.40 inference(split_clause,[status(thm)],[f840,f863,f610,f586])).
% 0.14/0.40 fof(f867,definition,(
% 0.14/0.40 ![X0,X1]: (sQ47_spl <=> (~ssList(X0)|~ssList(X1)|segmentP(app(app(X1,sk4),X0),sk4)))),
% 0.14/0.40 introduced(definition,[new_symbols(definition,[sQ47_spl])],[split_symbol_definition])).
% 0.14/0.40 fof(f870,plain,(
% 0.14/0.40 sQ47_spl|~sQ11_spl),
% 0.14/0.40 inference(split_clause,[status(thm)],[f841,f867,f586])).
% 0.14/0.40 fof(f999,plain,(
% 0.14/0.40 ~ssList(sk3)|~neq(sk3,nil)|~segmentP(sk4,sk3)|~sQ9_spl),
% 0.14/0.40 inference(resolution,[status(thm)],[f812,f531])).
% 0.14/0.40 fof(f1012,plain,(
% 0.14/0.40 ~sQ18_spl|~sQ5_spl|~sQ6_spl|~sQ9_spl),
% 0.14/0.40 inference(split_clause,[status(thm)],[f999,f671,f459,f463,f474])).
% 0.14/0.40 fof(f1021,plain,(
% 0.14/0.40 $false),
% 0.14/0.40 inference(sat_refutation,[status(thm)],[f455,f462,f466,f473,f477,f481,f523,f540,f542,f594,f609,f616,f663,f667,f681,f698,f700,f702,f717,f721,f725,f729,f737,f741,f846,f850,f854,f858,f866,f870,f1012])).
% 0.14/0.40 % SZS output end CNFRefutation for theBenchmark.p
% 0.14/0.42 % Elapsed time: 0.053656 seconds
% 0.14/0.42 % CPU time: 0.158025 seconds
% 0.14/0.42 % Total memory used: 88.654 MB
% 0.14/0.42 % Net memory used: 88.549 MB
%------------------------------------------------------------------------------