%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SWC060-1 : 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 : n016.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 0.07s 0.39s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWC060-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.03 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.07/0.34 % Computer : n016.cluster.edu
% 0.07/0.34 % Model : x86_64 x86_64
% 0.07/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.34 % Memory : 8046.5625MB
% 0.07/0.34 % OS : Linux 6.8.0-71-generic
% 0.07/0.35 % CPULimit : 300
% 0.07/0.35 % WCLimit : 300
% 0.07/0.35 % DateTime : Mon Sep 21 07:57:39 UTC 2026
% 0.07/0.35 % CPUTime :
% 0.07/0.37 % Drodi V4.1.1
% 0.07/0.39 % Refutation found
% 0.07/0.39 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.07/0.39 % SZS output start CNFRefutation for theBenchmark
% 0.07/0.39 fof(f8,axiom,(
% 0.07/0.39 ssList(nil) ),
% 0.07/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.07/0.39 fof(f56,axiom,(
% 0.07/0.39 (![U]: (( ~ ssList(U)| segmentP(U,nil) ) ))),
% 0.07/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.07/0.39 fof(f57,axiom,(
% 0.07/0.39 (![U]: (( ~ ssList(U)| segmentP(U,U) ) ))),
% 0.07/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.07/0.39 fof(f80,axiom,(
% 0.07/0.39 (![U]: (( ~ segmentP(nil,U)| ~ ssList(U)| nil = U ) ))),
% 0.07/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.07/0.39 fof(f127,axiom,(
% 0.07/0.39 (![U,V]: (( ~ segmentP(U,V)| ~ segmentP(V,U)| ~ ssList(U)| ~ ssList(V)| V = U ) ))),
% 0.07/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.07/0.39 fof(f152,axiom,(
% 0.07/0.39 (![U,V,W]: (( ~ segmentP(U,V)| ~ segmentP(V,W)| ~ ssList(W)| ~ ssList(V)| ~ ssList(U)| segmentP(U,W) ) ))),
% 0.07/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.07/0.39 fof(f172,axiom,(
% 0.07/0.39 (![U,V,W,X]: (( ~ segmentP(U,V)| ~ ssList(W)| ~ ssList(X)| ~ ssList(V)| ~ ssList(U)| segmentP(app(app(X,U),W),V) ) ))),
% 0.07/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.07/0.39 fof(f188,negated_conjecture,(
% 0.07/0.39 ssList(sk3) ),
% 0.07/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.07/0.39 fof(f189,negated_conjecture,(
% 0.07/0.39 ssList(sk4) ),
% 0.07/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.07/0.39 fof(f190,negated_conjecture,(
% 0.07/0.39 sk2 = sk4 ),
% 0.07/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.07/0.39 fof(f191,negated_conjecture,(
% 0.07/0.39 sk1 = sk3 ),
% 0.07/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.07/0.39 fof(f193,negated_conjecture,(
% 0.07/0.39 (![A]: (( nil = sk2| ~ ssList(A)| ~ neq(A,nil)| ~ segmentP(sk2,A)| ~ segmentP(sk1,A) ) ))),
% 0.07/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.07/0.39 fof(f194,negated_conjecture,(
% 0.07/0.39 ( nil != sk1| neq(sk2,nil) ) ),
% 0.07/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.07/0.39 fof(f195,negated_conjecture,(
% 0.07/0.39 (![A]: (( nil != sk1| ~ ssList(A)| ~ neq(A,nil)| ~ segmentP(sk2,A)| ~ segmentP(sk1,A) ) ))),
% 0.07/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.07/0.39 fof(f196,negated_conjecture,(
% 0.07/0.39 ( nil = sk4| neq(sk3,nil) ) ),
% 0.07/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.07/0.39 fof(f197,negated_conjecture,(
% 0.07/0.39 ( nil = sk4| segmentP(sk4,sk3) ) ),
% 0.07/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.07/0.39 fof(f199,negated_conjecture,(
% 0.07/0.39 ( nil = sk3| segmentP(sk4,sk3) ) ),
% 0.07/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.07/0.39 fof(f207,plain,(
% 0.07/0.39 ssList(nil)),
% 0.07/0.39 inference(cnf_transformation,[status(thm)],[f8])).
% 0.07/0.39 fof(f255,plain,(
% 0.07/0.39 ![X0]: (~ssList(X0)|segmentP(X0,nil))),
% 0.07/0.39 inference(cnf_transformation,[status(thm)],[f56])).
% 0.07/0.39 fof(f256,plain,(
% 0.07/0.39 ![X0]: (~ssList(X0)|segmentP(X0,X0))),
% 0.07/0.39 inference(cnf_transformation,[status(thm)],[f57])).
% 0.07/0.39 fof(f280,plain,(
% 0.07/0.39 ![X0]: (~segmentP(nil,X0)|~ssList(X0)|nil=X0)),
% 0.07/0.39 inference(cnf_transformation,[status(thm)],[f80])).
% 0.07/0.39 fof(f339,plain,(
% 0.07/0.39 ![X0,X1]: (~segmentP(X0,X1)|~segmentP(X1,X0)|~ssList(X0)|~ssList(X1)|X1=X0)),
% 0.07/0.39 inference(cnf_transformation,[status(thm)],[f127])).
% 0.07/0.39 fof(f373,plain,(
% 0.07/0.39 ![U,W]: (((![V]: (((~segmentP(U,V)|~segmentP(V,W))|~ssList(W))|~ssList(V)))|~ssList(U))|segmentP(U,W))),
% 0.07/0.39 inference(miniscoping,[status(thm)],[f152])).
% 0.07/0.39 fof(f374,plain,(
% 0.07/0.39 ![X0,X1,X2]: (~segmentP(X0,X1)|~segmentP(X1,X2)|~ssList(X2)|~ssList(X1)|~ssList(X0)|segmentP(X0,X2))),
% 0.07/0.39 inference(cnf_transformation,[status(thm)],[f373])).
% 0.07/0.39 fof(f404,plain,(
% 0.07/0.39 ![X0,X1,X2,X3]: (~segmentP(X0,X1)|~ssList(X2)|~ssList(X3)|~ssList(X1)|~ssList(X0)|segmentP(app(app(X3,X0),X2),X1))),
% 0.07/0.39 inference(cnf_transformation,[status(thm)],[f172])).
% 0.07/0.39 fof(f432,plain,(
% 0.07/0.39 ssList(sk3)),
% 0.07/0.39 inference(cnf_transformation,[status(thm)],[f188])).
% 0.07/0.39 fof(f433,plain,(
% 0.07/0.39 ssList(sk4)),
% 0.07/0.39 inference(cnf_transformation,[status(thm)],[f189])).
% 0.07/0.39 fof(f434,plain,(
% 0.07/0.39 sk2=sk4),
% 0.07/0.39 inference(cnf_transformation,[status(thm)],[f190])).
% 0.07/0.39 fof(f435,plain,(
% 0.07/0.39 sk1=sk3),
% 0.07/0.39 inference(cnf_transformation,[status(thm)],[f191])).
% 0.07/0.39 fof(f437,plain,(
% 0.07/0.39 ![X0]: (nil=sk2|~ssList(X0)|~neq(X0,nil)|~segmentP(sk2,X0)|~segmentP(sk1,X0))),
% 0.07/0.39 inference(cnf_transformation,[status(thm)],[f193])).
% 0.07/0.39 fof(f438,plain,(
% 0.07/0.39 ~nil=sk1|neq(sk2,nil)),
% 0.07/0.39 inference(cnf_transformation,[status(thm)],[f194])).
% 0.07/0.39 fof(f439,plain,(
% 0.07/0.39 ![X0]: (~nil=sk1|~ssList(X0)|~neq(X0,nil)|~segmentP(sk2,X0)|~segmentP(sk1,X0))),
% 0.07/0.39 inference(cnf_transformation,[status(thm)],[f195])).
% 0.07/0.39 fof(f440,plain,(
% 0.07/0.39 nil=sk4|neq(sk3,nil)),
% 0.07/0.39 inference(cnf_transformation,[status(thm)],[f196])).
% 0.07/0.39 fof(f441,plain,(
% 0.07/0.39 nil=sk4|segmentP(sk4,sk3)),
% 0.07/0.39 inference(cnf_transformation,[status(thm)],[f197])).
% 0.07/0.39 fof(f443,plain,(
% 0.07/0.39 nil=sk3|segmentP(sk4,sk3)),
% 0.07/0.39 inference(cnf_transformation,[status(thm)],[f199])).
% 0.07/0.39 fof(f451,definition,(
% 0.07/0.39 sQ2_spl <=> (nil=sk2)),
% 0.07/0.39 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 0.07/0.39 fof(f452,plain,(
% 0.07/0.39 nil=sk2|~sQ2_spl),
% 0.07/0.39 inference(component_clause,[status(thm)],[f451])).
% 0.07/0.39 fof(f453,plain,(
% 0.07/0.39 ~nil=sk2|sQ2_spl),
% 0.07/0.39 inference(component_clause,[status(thm)],[f451])).
% 0.07/0.39 fof(f454,definition,(
% 0.07/0.39 sQ3_spl <=> (neq(sk2,nil))),
% 0.07/0.39 introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition])).
% 0.07/0.39 fof(f455,plain,(
% 0.07/0.39 neq(sk2,nil)|~sQ3_spl),
% 0.07/0.39 inference(component_clause,[status(thm)],[f454])).
% 0.07/0.39 fof(f458,definition,(
% 0.07/0.39 ![X0]: (sQ4_spl <=> (~ssList(X0)|~neq(X0,nil)|~segmentP(sk2,X0)|~segmentP(sk1,X0)))),
% 0.07/0.39 introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition])).
% 0.07/0.39 fof(f459,plain,(
% 0.07/0.39 ![X0]: (~ssList(X0)|~neq(X0,nil)|~segmentP(sk2,X0)|~segmentP(sk1,X0)|~sQ4_spl)),
% 0.07/0.39 inference(component_clause,[status(thm)],[f458])).
% 0.07/0.39 fof(f461,plain,(
% 0.07/0.39 sQ2_spl|sQ4_spl),
% 0.07/0.39 inference(split_clause,[status(thm)],[f437,f451,f458])).
% 0.07/0.39 fof(f462,definition,(
% 0.07/0.39 sQ5_spl <=> (nil=sk1)),
% 0.07/0.39 introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition])).
% 0.07/0.39 fof(f463,plain,(
% 0.07/0.39 nil=sk1|~sQ5_spl),
% 0.07/0.39 inference(component_clause,[status(thm)],[f462])).
% 0.07/0.39 fof(f464,plain,(
% 0.07/0.39 ~nil=sk1|sQ5_spl),
% 0.07/0.39 inference(component_clause,[status(thm)],[f462])).
% 0.07/0.39 fof(f465,plain,(
% 0.07/0.39 ~sQ5_spl|sQ3_spl),
% 0.07/0.39 inference(split_clause,[status(thm)],[f438,f462,f454])).
% 0.07/0.39 fof(f466,plain,(
% 0.07/0.39 ~sQ5_spl|sQ4_spl),
% 0.07/0.39 inference(split_clause,[status(thm)],[f439,f462,f458])).
% 0.07/0.39 fof(f467,definition,(
% 0.07/0.39 sQ6_spl <=> (nil=sk4)),
% 0.07/0.39 introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition])).
% 0.07/0.39 fof(f468,plain,(
% 0.07/0.39 nil=sk4|~sQ6_spl),
% 0.07/0.39 inference(component_clause,[status(thm)],[f467])).
% 0.07/0.39 fof(f470,definition,(
% 0.07/0.39 sQ7_spl <=> (neq(sk3,nil))),
% 0.07/0.39 introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition])).
% 0.07/0.39 fof(f473,plain,(
% 0.07/0.39 sQ6_spl|sQ7_spl),
% 0.07/0.39 inference(split_clause,[status(thm)],[f440,f467,f470])).
% 0.07/0.39 fof(f474,definition,(
% 0.07/0.39 sQ8_spl <=> (segmentP(sk4,sk3))),
% 0.07/0.39 introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition])).
% 0.07/0.39 fof(f475,plain,(
% 0.07/0.39 segmentP(sk4,sk3)|~sQ8_spl),
% 0.07/0.39 inference(component_clause,[status(thm)],[f474])).
% 0.07/0.39 fof(f476,plain,(
% 0.07/0.39 ~segmentP(sk4,sk3)|sQ8_spl),
% 0.07/0.39 inference(component_clause,[status(thm)],[f474])).
% 0.07/0.39 fof(f477,plain,(
% 0.07/0.39 sQ6_spl|sQ8_spl),
% 0.07/0.39 inference(split_clause,[status(thm)],[f441,f467,f474])).
% 0.07/0.39 fof(f478,definition,(
% 0.07/0.39 sQ9_spl <=> (nil=sk3)),
% 0.07/0.39 introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition])).
% 0.07/0.39 fof(f479,plain,(
% 0.07/0.39 nil=sk3|~sQ9_spl),
% 0.07/0.39 inference(component_clause,[status(thm)],[f478])).
% 0.07/0.39 fof(f480,plain,(
% 0.07/0.39 ~nil=sk3|sQ9_spl),
% 0.07/0.39 inference(component_clause,[status(thm)],[f478])).
% 0.07/0.39 fof(f482,plain,(
% 0.07/0.39 sQ9_spl|sQ8_spl),
% 0.07/0.39 inference(split_clause,[status(thm)],[f443,f478,f474])).
% 0.07/0.39 fof(f515,plain,(
% 0.07/0.39 sk4=sk3|~sQ6_spl|~sQ9_spl),
% 0.07/0.39 inference(backward_demodulation,[status(thm)],[f468,f479])).
% 0.07/0.39 fof(f516,plain,(
% 0.07/0.39 ~sk4=sk1|~sQ6_spl|sQ5_spl),
% 0.07/0.39 inference(forward_demodulation,[status(thm)],[f468,f464])).
% 0.07/0.39 fof(f517,plain,(
% 0.07/0.39 ~sk4=sk3|~sQ6_spl|sQ5_spl),
% 0.07/0.39 inference(forward_demodulation,[status(thm)],[f435,f516])).
% 0.07/0.39 fof(f519,plain,(
% 0.07/0.39 $false|sQ5_spl|~sQ6_spl|~sQ9_spl),
% 0.07/0.39 inference(forward_subsumption_resolution,[status(thm)],[f515,f517])).
% 0.07/0.39 fof(f520,plain,(
% 0.07/0.39 sQ5_spl|~sQ6_spl|~sQ9_spl),
% 0.07/0.39 inference(contradiction_clause,[status(thm)],[f519])).
% 0.07/0.39 fof(f521,plain,(
% 0.07/0.39 neq(sk4,nil)|~sQ3_spl),
% 0.07/0.39 inference(forward_demodulation,[status(thm)],[f434,f455])).
% 0.07/0.39 fof(f522,plain,(
% 0.07/0.39 ![X0]: (~ssList(X0)|~neq(X0,nil)|~segmentP(sk4,X0)|~segmentP(sk1,X0)|~sQ4_spl)),
% 0.07/0.39 inference(forward_demodulation,[status(thm)],[f434,f459])).
% 0.07/0.39 fof(f523,plain,(
% 0.07/0.39 ![X0]: (~ssList(X0)|~neq(X0,nil)|~segmentP(sk4,X0)|~segmentP(sk3,X0)|~sQ4_spl)),
% 0.07/0.39 inference(forward_demodulation,[status(thm)],[f435,f522])).
% 0.07/0.39 fof(f524,plain,(
% 0.07/0.39 nil=sk3|~sQ5_spl),
% 0.07/0.39 inference(forward_demodulation,[status(thm)],[f435,f463])).
% 0.07/0.39 fof(f525,plain,(
% 0.07/0.39 nil=sk4|~sQ2_spl),
% 0.07/0.39 inference(forward_demodulation,[status(thm)],[f434,f452])).
% 0.07/0.39 fof(f529,plain,(
% 0.07/0.39 sk4=sk3|~sQ2_spl|~sQ9_spl),
% 0.07/0.39 inference(forward_demodulation,[status(thm)],[f525,f479])).
% 0.07/0.39 fof(f532,plain,(
% 0.07/0.39 segmentP(sk4,sk4)),
% 0.07/0.39 inference(resolution,[status(thm)],[f256,f433])).
% 0.07/0.39 fof(f549,plain,(
% 0.07/0.39 segmentP(sk4,sk4)|~sQ2_spl|~sQ9_spl|~sQ8_spl),
% 0.07/0.39 inference(forward_demodulation,[status(thm)],[f529,f475])).
% 0.07/0.39 fof(f551,plain,(
% 0.07/0.39 ![X0]: (~ssList(X0)|~neq(X0,sk4)|~segmentP(sk4,X0)|~segmentP(sk3,X0)|~sQ2_spl|~sQ4_spl)),
% 0.07/0.39 inference(forward_demodulation,[status(thm)],[f525,f523])).
% 0.07/0.39 fof(f552,plain,(
% 0.07/0.39 ![X0]: (~ssList(X0)|~neq(X0,sk4)|~segmentP(sk4,X0)|~segmentP(sk4,X0)|~sQ9_spl|~sQ2_spl|~sQ4_spl)),
% 0.07/0.39 inference(forward_demodulation,[status(thm)],[f529,f551])).
% 0.07/0.39 fof(f553,plain,(
% 0.07/0.39 ![X0]: (~ssList(X0)|~neq(X0,sk4)|~segmentP(sk4,X0)|~sQ9_spl|~sQ2_spl|~sQ4_spl)),
% 0.07/0.39 inference(duplicate_literals_removal,[status(thm)],[f552])).
% 0.07/0.39 fof(f554,plain,(
% 0.07/0.39 ~ssList(sk4)|~neq(sk4,sk4)|~sQ4_spl|~sQ2_spl|~sQ9_spl|~sQ8_spl),
% 0.07/0.39 inference(resolution,[status(thm)],[f553,f549])).
% 0.07/0.39 fof(f555,definition,(
% 0.07/0.39 sQ10_spl <=> (ssList(sk4))),
% 0.07/0.39 introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition])).
% 0.07/0.39 fof(f557,plain,(
% 0.07/0.39 ~ssList(sk4)|sQ10_spl),
% 0.07/0.39 inference(component_clause,[status(thm)],[f555])).
% 0.07/0.39 fof(f558,definition,(
% 0.07/0.39 sQ11_spl <=> (neq(sk4,sk4))),
% 0.07/0.39 introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition])).
% 0.07/0.39 fof(f560,plain,(
% 0.07/0.39 ~neq(sk4,sk4)|sQ11_spl),
% 0.07/0.39 inference(component_clause,[status(thm)],[f558])).
% 0.07/0.39 fof(f561,plain,(
% 0.07/0.39 ~sQ10_spl|~sQ11_spl|~sQ4_spl|~sQ2_spl|~sQ9_spl|~sQ8_spl),
% 0.07/0.39 inference(split_clause,[status(thm)],[f554,f555,f558,f458,f451,f478,f474])).
% 0.07/0.39 fof(f562,plain,(
% 0.07/0.39 segmentP(sk3,sk3)),
% 0.07/0.39 inference(resolution,[status(thm)],[f432,f256])).
% 0.07/0.39 fof(f565,plain,(
% 0.07/0.39 sk4=sk3|~sQ6_spl|~sQ5_spl),
% 0.07/0.39 inference(forward_demodulation,[status(thm)],[f468,f524])).
% 0.07/0.39 fof(f567,plain,(
% 0.07/0.39 neq(sk4,sk4)|~sQ6_spl|~sQ3_spl),
% 0.07/0.39 inference(forward_demodulation,[status(thm)],[f468,f521])).
% 0.07/0.39 fof(f568,plain,(
% 0.07/0.39 $false|sQ11_spl|~sQ6_spl|~sQ3_spl),
% 0.07/0.39 inference(forward_subsumption_resolution,[status(thm)],[f567,f560])).
% 0.07/0.39 fof(f569,plain,(
% 0.07/0.39 sQ11_spl|~sQ6_spl|~sQ3_spl),
% 0.07/0.39 inference(contradiction_clause,[status(thm)],[f568])).
% 0.07/0.39 fof(f570,plain,(
% 0.07/0.39 $false|sQ10_spl),
% 0.07/0.39 inference(forward_subsumption_resolution,[status(thm)],[f557,f433])).
% 0.07/0.39 fof(f571,plain,(
% 0.07/0.39 sQ10_spl),
% 0.07/0.39 inference(contradiction_clause,[status(thm)],[f570])).
% 0.07/0.39 fof(f572,plain,(
% 0.07/0.39 sQ6_spl|~sQ2_spl),
% 0.07/0.39 inference(split_clause,[status(thm)],[f525,f467,f451])).
% 0.07/0.39 fof(f573,plain,(
% 0.07/0.39 ~nil=sk4|sQ2_spl),
% 0.07/0.39 inference(forward_demodulation,[status(thm)],[f434,f453])).
% 0.07/0.39 fof(f575,plain,(
% 0.07/0.39 segmentP(nil,nil)),
% 0.07/0.39 inference(resolution,[status(thm)],[f207,f256])).
% 0.07/0.39 fof(f585,plain,(
% 0.07/0.39 ![X0]: (~segmentP(nil,X0)|~ssList(X0)|sk4=X0|~sQ6_spl)),
% 0.07/0.39 inference(backward_demodulation,[status(thm)],[f468,f280])).
% 0.07/0.39 fof(f586,plain,(
% 0.07/0.39 ![X0]: (~segmentP(sk4,X0)|~ssList(X0)|sk4=X0|~sQ6_spl)),
% 0.07/0.39 inference(forward_demodulation,[status(thm)],[f468,f585])).
% 0.07/0.39 fof(f592,plain,(
% 0.07/0.39 ~sk4=sk4|~sQ6_spl|sQ2_spl),
% 0.07/0.39 inference(forward_demodulation,[status(thm)],[f468,f573])).
% 0.07/0.39 fof(f593,plain,(
% 0.07/0.39 $false|~sQ6_spl|sQ2_spl),
% 0.07/0.39 inference(trivial_equality_resolution,[status(thm)],[f592])).
% 0.07/0.39 fof(f594,plain,(
% 0.07/0.39 ~sQ6_spl|sQ2_spl),
% 0.07/0.39 inference(contradiction_clause,[status(thm)],[f593])).
% 0.07/0.39 fof(f597,plain,(
% 0.07/0.39 ~segmentP(sk4,sk4)|~sQ6_spl|~sQ5_spl|sQ8_spl),
% 0.07/0.39 inference(forward_demodulation,[status(thm)],[f565,f476])).
% 0.07/0.39 fof(f598,plain,(
% 0.07/0.39 $false|~sQ6_spl|~sQ5_spl|sQ8_spl),
% 0.07/0.39 inference(forward_subsumption_resolution,[status(thm)],[f597,f532])).
% 0.07/0.39 fof(f599,plain,(
% 0.07/0.39 ~sQ6_spl|~sQ5_spl|sQ8_spl),
% 0.07/0.39 inference(contradiction_clause,[status(thm)],[f598])).
% 0.07/0.39 fof(f603,plain,(
% 0.07/0.39 ~sk4=sk3|~sQ6_spl|sQ9_spl),
% 0.07/0.39 inference(forward_demodulation,[status(thm)],[f468,f480])).
% 0.07/0.39 fof(f641,plain,(
% 0.07/0.39 ~ssList(sk3)|sk4=sk3|~sQ6_spl|~sQ8_spl),
% 0.07/0.39 inference(resolution,[status(thm)],[f586,f475])).
% 0.07/0.39 fof(f643,definition,(
% 0.07/0.39 sQ12_spl <=> (ssList(sk3))),
% 0.07/0.39 introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition])).
% 0.07/0.39 fof(f645,plain,(
% 0.07/0.39 ~ssList(sk3)|sQ12_spl),
% 0.07/0.39 inference(component_clause,[status(thm)],[f643])).
% 0.07/0.39 fof(f646,definition,(
% 0.07/0.39 sQ13_spl <=> (sk4=sk3)),
% 0.07/0.39 introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition])).
% 0.07/0.39 fof(f647,plain,(
% 0.07/0.39 sk4=sk3|~sQ13_spl),
% 0.07/0.39 inference(component_clause,[status(thm)],[f646])).
% 0.07/0.39 fof(f649,plain,(
% 0.07/0.39 ~sQ12_spl|sQ13_spl|~sQ6_spl|~sQ8_spl),
% 0.07/0.39 inference(split_clause,[status(thm)],[f641,f643,f646,f467,f474])).
% 0.07/0.39 fof(f650,definition,(
% 0.07/0.39 sQ14_spl <=> (sk4=sk4)),
% 0.07/0.39 introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition])).
% 0.07/0.39 fof(f657,plain,(
% 0.07/0.39 ~segmentP(sk3,sk3)|~ssList(sk3)|~ssList(sk3)|sk3=sk3),
% 0.07/0.39 inference(resolution,[status(thm)],[f339,f562])).
% 0.07/0.39 fof(f659,plain,(
% 0.07/0.39 ~segmentP(sk4,sk4)|~ssList(sk4)|~ssList(sk4)|sk4=sk4),
% 0.07/0.39 inference(resolution,[status(thm)],[f339,f532])).
% 0.07/0.39 fof(f660,definition,(
% 0.07/0.39 sQ15_spl <=> (segmentP(nil,nil))),
% 0.07/0.39 introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition])).
% 0.07/0.39 fof(f662,plain,(
% 0.07/0.39 ~segmentP(nil,nil)|sQ15_spl),
% 0.07/0.39 inference(component_clause,[status(thm)],[f660])).
% 0.07/0.39 fof(f663,definition,(
% 0.07/0.39 sQ16_spl <=> (ssList(nil))),
% 0.07/0.39 introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition])).
% 0.07/0.39 fof(f665,plain,(
% 0.07/0.39 ~ssList(nil)|sQ16_spl),
% 0.07/0.39 inference(component_clause,[status(thm)],[f663])).
% 0.07/0.39 fof(f666,definition,(
% 0.07/0.39 sQ17_spl <=> (nil=nil)),
% 0.07/0.39 introduced(definition,[new_symbols(definition,[sQ17_spl])],[split_symbol_definition])).
% 0.07/0.39 fof(f670,definition,(
% 0.07/0.39 sQ18_spl <=> (segmentP(sk3,sk3))),
% 0.07/0.39 introduced(definition,[new_symbols(definition,[sQ18_spl])],[split_symbol_definition])).
% 0.07/0.39 fof(f672,plain,(
% 0.07/0.39 ~segmentP(sk3,sk3)|sQ18_spl),
% 0.07/0.39 inference(component_clause,[status(thm)],[f670])).
% 0.07/0.39 fof(f673,definition,(
% 0.07/0.39 sQ19_spl <=> (sk3=sk3)),
% 0.07/0.39 introduced(definition,[new_symbols(definition,[sQ19_spl])],[split_symbol_definition])).
% 0.07/0.39 fof(f676,plain,(
% 0.07/0.39 ~sQ18_spl|~sQ12_spl|sQ19_spl),
% 0.07/0.39 inference(split_clause,[status(thm)],[f657,f670,f643,f673])).
% 0.07/0.39 fof(f681,definition,(
% 0.07/0.39 sQ21_spl <=> (segmentP(sk4,sk4))),
% 0.07/0.39 introduced(definition,[new_symbols(definition,[sQ21_spl])],[split_symbol_definition])).
% 0.07/0.39 fof(f683,plain,(
% 0.07/0.39 ~segmentP(sk4,sk4)|sQ21_spl),
% 0.07/0.39 inference(component_clause,[status(thm)],[f681])).
% 0.07/0.39 fof(f684,plain,(
% 0.07/0.39 ~sQ21_spl|~sQ10_spl|sQ14_spl),
% 0.07/0.39 inference(split_clause,[status(thm)],[f659,f681,f555,f650])).
% 0.07/0.39 fof(f685,plain,(
% 0.07/0.39 $false|sQ12_spl),
% 0.07/0.39 inference(forward_subsumption_resolution,[status(thm)],[f645,f432])).
% 0.07/0.39 fof(f686,plain,(
% 0.07/0.39 sQ12_spl),
% 0.07/0.39 inference(contradiction_clause,[status(thm)],[f685])).
% 0.07/0.39 fof(f687,plain,(
% 0.07/0.39 $false|sQ21_spl),
% 0.07/0.39 inference(forward_subsumption_resolution,[status(thm)],[f683,f532])).
% 0.07/0.39 fof(f688,plain,(
% 0.07/0.39 sQ21_spl),
% 0.07/0.39 inference(contradiction_clause,[status(thm)],[f687])).
% 0.07/0.39 fof(f689,plain,(
% 0.07/0.39 $false|sQ18_spl),
% 0.07/0.39 inference(forward_subsumption_resolution,[status(thm)],[f672,f562])).
% 0.07/0.39 fof(f690,plain,(
% 0.07/0.39 sQ18_spl),
% 0.07/0.39 inference(contradiction_clause,[status(thm)],[f689])).
% 0.07/0.39 fof(f692,plain,(
% 0.07/0.39 ![X0]: (~segmentP(X0,nil)|~ssList(nil)|~ssList(nil)|~ssList(X0)|segmentP(X0,nil))),
% 0.07/0.39 inference(resolution,[status(thm)],[f374,f575])).
% 0.07/0.39 fof(f693,plain,(
% 0.07/0.39 ![X0]: (~segmentP(X0,sk3)|~ssList(sk3)|~ssList(sk3)|~ssList(X0)|segmentP(X0,sk3))),
% 0.07/0.39 inference(resolution,[status(thm)],[f374,f562])).
% 0.07/0.39 fof(f694,plain,(
% 0.07/0.39 ![X0]: (~segmentP(X0,sk4)|~ssList(sk3)|~ssList(sk4)|~ssList(X0)|segmentP(X0,sk3)|~sQ8_spl)),
% 0.07/0.39 inference(resolution,[status(thm)],[f374,f475])).
% 0.07/0.39 fof(f695,plain,(
% 0.07/0.39 ![X0]: (~segmentP(X0,sk4)|~ssList(sk4)|~ssList(sk4)|~ssList(X0)|segmentP(X0,sk4))),
% 0.07/0.39 inference(resolution,[status(thm)],[f374,f532])).
% 0.07/0.39 fof(f699,definition,(
% 0.07/0.39 ![X0]: (sQ22_spl <=> (~segmentP(X0,nil)|~ssList(X0)|segmentP(X0,nil)))),
% 0.07/0.39 introduced(definition,[new_symbols(definition,[sQ22_spl])],[split_symbol_definition])).
% 0.07/0.39 fof(f702,plain,(
% 0.07/0.39 sQ22_spl|~sQ16_spl),
% 0.07/0.39 inference(split_clause,[status(thm)],[f692,f699,f663])).
% 0.07/0.39 fof(f703,definition,(
% 0.07/0.39 ![X0]: (sQ23_spl <=> (~segmentP(X0,sk3)|~ssList(X0)|segmentP(X0,sk3)))),
% 0.07/0.39 introduced(definition,[new_symbols(definition,[sQ23_spl])],[split_symbol_definition])).
% 0.07/0.39 fof(f706,plain,(
% 0.07/0.39 sQ23_spl|~sQ12_spl),
% 0.07/0.39 inference(split_clause,[status(thm)],[f693,f703,f643])).
% 0.07/0.39 fof(f707,definition,(
% 0.07/0.39 ![X0]: (sQ24_spl <=> (~segmentP(X0,sk4)|~ssList(X0)|segmentP(X0,sk3)))),
% 0.07/0.39 introduced(definition,[new_symbols(definition,[sQ24_spl])],[split_symbol_definition])).
% 0.07/0.39 fof(f710,plain,(
% 0.07/0.39 sQ24_spl|~sQ12_spl|~sQ10_spl|~sQ8_spl),
% 0.07/0.39 inference(split_clause,[status(thm)],[f694,f707,f643,f555,f474])).
% 0.07/0.39 fof(f711,definition,(
% 0.07/0.39 ![X0]: (sQ25_spl <=> (~segmentP(X0,sk4)|~ssList(X0)|segmentP(X0,sk4)))),
% 0.07/0.39 introduced(definition,[new_symbols(definition,[sQ25_spl])],[split_symbol_definition])).
% 0.07/0.39 fof(f714,plain,(
% 0.07/0.39 sQ25_spl|~sQ10_spl),
% 0.07/0.39 inference(split_clause,[status(thm)],[f695,f711,f555])).
% 0.07/0.39 fof(f718,plain,(
% 0.07/0.39 $false|sQ16_spl),
% 0.07/0.39 inference(forward_subsumption_resolution,[status(thm)],[f665,f207])).
% 0.07/0.39 fof(f719,plain,(
% 0.07/0.39 sQ16_spl),
% 0.07/0.39 inference(contradiction_clause,[status(thm)],[f718])).
% 0.07/0.39 fof(f720,plain,(
% 0.07/0.39 $false|sQ15_spl),
% 0.07/0.39 inference(forward_subsumption_resolution,[status(thm)],[f662,f575])).
% 0.07/0.39 fof(f721,plain,(
% 0.07/0.39 sQ15_spl),
% 0.07/0.39 inference(contradiction_clause,[status(thm)],[f720])).
% 0.07/0.39 fof(f744,plain,(
% 0.07/0.39 ~sk4=sk4|~sQ13_spl|~sQ6_spl|sQ9_spl),
% 0.07/0.39 inference(forward_demodulation,[status(thm)],[f647,f603])).
% 0.07/0.39 fof(f745,plain,(
% 0.07/0.39 $false|~sQ13_spl|~sQ6_spl|sQ9_spl),
% 0.07/0.39 inference(trivial_equality_resolution,[status(thm)],[f744])).
% 0.07/0.39 fof(f746,plain,(
% 0.07/0.39 ~sQ13_spl|~sQ6_spl|sQ9_spl),
% 0.07/0.39 inference(contradiction_clause,[status(thm)],[f745])).
% 0.07/0.39 fof(f750,plain,(
% 0.07/0.39 segmentP(sk3,sk3)),
% 0.07/0.39 inference(resolution,[status(thm)],[f432,f256])).
% 0.07/0.39 fof(f763,plain,(
% 0.07/0.39 ![X0,X1]: (~ssList(X0)|~ssList(X1)|~ssList(nil)|~ssList(nil)|segmentP(app(app(X1,nil),X0),nil))),
% 0.07/0.39 inference(resolution,[status(thm)],[f404,f575])).
% 0.07/0.39 fof(f764,plain,(
% 0.07/0.39 ![X0,X1]: (~ssList(X0)|~ssList(X1)|~ssList(sk4)|~ssList(sk4)|segmentP(app(app(X1,sk4),X0),sk4))),
% 0.07/0.39 inference(resolution,[status(thm)],[f404,f532])).
% 0.07/0.39 fof(f766,definition,(
% 0.07/0.39 ![X0,X1]: (sQ27_spl <=> (~ssList(X0)|~ssList(X1)|segmentP(app(app(X1,nil),X0),nil)))),
% 0.07/0.39 introduced(definition,[new_symbols(definition,[sQ27_spl])],[split_symbol_definition])).
% 0.07/0.39 fof(f769,plain,(
% 0.07/0.39 sQ27_spl|~sQ16_spl),
% 0.07/0.39 inference(split_clause,[status(thm)],[f763,f766,f663])).
% 0.07/0.39 fof(f770,definition,(
% 0.07/0.39 ![X0,X1]: (sQ28_spl <=> (~ssList(X0)|~ssList(X1)|segmentP(app(app(X1,sk4),X0),sk4)))),
% 0.07/0.39 introduced(definition,[new_symbols(definition,[sQ28_spl])],[split_symbol_definition])).
% 0.07/0.39 fof(f773,plain,(
% 0.07/0.39 sQ28_spl|~sQ10_spl),
% 0.07/0.39 inference(split_clause,[status(thm)],[f764,f770,f555])).
% 0.07/0.39 fof(f844,plain,(
% 0.07/0.39 ![X0,X1]: (~ssList(X0)|~ssList(X1)|~ssList(sk3)|~ssList(sk3)|segmentP(app(app(X1,sk3),X0),sk3))),
% 0.07/0.39 inference(resolution,[status(thm)],[f750,f404])).
% 0.07/0.39 fof(f847,definition,(
% 0.07/0.39 ![X0,X1]: (sQ33_spl <=> (~ssList(X0)|~ssList(X1)|segmentP(app(app(X1,sk3),X0),sk3)))),
% 0.07/0.39 introduced(definition,[new_symbols(definition,[sQ33_spl])],[split_symbol_definition])).
% 0.07/0.39 fof(f850,plain,(
% 0.07/0.39 sQ33_spl|~sQ12_spl),
% 0.07/0.39 inference(split_clause,[status(thm)],[f844,f847,f643])).
% 0.07/0.39 fof(f853,plain,(
% 0.07/0.39 ![X0,X1]: (~ssList(X0)|~ssList(X1)|~ssList(sk3)|~ssList(sk4)|segmentP(app(app(X1,sk4),X0),sk3)|~sQ8_spl)),
% 0.07/0.39 inference(resolution,[status(thm)],[f475,f404])).
% 0.07/0.39 fof(f856,definition,(
% 0.07/0.39 ![X0,X1]: (sQ34_spl <=> (~ssList(X0)|~ssList(X1)|segmentP(app(app(X1,sk4),X0),sk3)))),
% 0.07/0.39 introduced(definition,[new_symbols(definition,[sQ34_spl])],[split_symbol_definition])).
% 0.07/0.39 fof(f859,plain,(
% 0.07/0.39 sQ34_spl|~sQ12_spl|~sQ10_spl|~sQ8_spl),
% 0.07/0.39 inference(split_clause,[status(thm)],[f853,f856,f643,f555,f474])).
% 0.07/0.39 fof(f864,plain,(
% 0.07/0.39 segmentP(sk3,nil)),
% 0.07/0.39 inference(resolution,[status(thm)],[f255,f432])).
% 0.07/0.39 fof(f886,plain,(
% 0.07/0.39 segmentP(sk4,nil)),
% 0.07/0.39 inference(resolution,[status(thm)],[f255,f433])).
% 0.07/0.39 fof(f887,plain,(
% 0.07/0.39 ~ssList(nil)|nil=nil),
% 0.07/0.39 inference(resolution,[status(thm)],[f280,f575])).
% 0.07/0.39 fof(f888,plain,(
% 0.07/0.39 ![X0,X1]: (~ssList(X0)|nil=X0|~segmentP(nil,X1)|~segmentP(X1,X0)|~ssList(X0)|~ssList(X1)|~ssList(nil))),
% 0.07/0.40 inference(resolution,[status(thm)],[f280,f374])).
% 0.07/0.40 fof(f889,plain,(
% 0.07/0.40 ~sQ16_spl|sQ17_spl),
% 0.07/0.40 inference(split_clause,[status(thm)],[f887,f663,f666])).
% 0.07/0.40 fof(f890,definition,(
% 0.07/0.40 ![X0,X1]: (sQ35_spl <=> (~ssList(X0)|nil=X0|~segmentP(nil,X1)|~segmentP(X1,X0)|~ssList(X0)|~ssList(X1)))),
% 0.07/0.40 introduced(definition,[new_symbols(definition,[sQ35_spl])],[split_symbol_definition])).
% 0.07/0.40 fof(f893,plain,(
% 0.07/0.40 sQ35_spl|~sQ16_spl),
% 0.07/0.40 inference(split_clause,[status(thm)],[f888,f890,f663])).
% 0.07/0.40 fof(f1035,plain,(
% 0.07/0.40 ![X0,X1]: (~ssList(X0)|~ssList(X1)|~ssList(nil)|~ssList(sk3)|segmentP(app(app(X1,sk3),X0),nil))),
% 0.07/0.40 inference(resolution,[status(thm)],[f864,f404])).
% 0.07/0.40 fof(f1036,plain,(
% 0.07/0.40 ![X0]: (~segmentP(X0,sk3)|~ssList(nil)|~ssList(sk3)|~ssList(X0)|segmentP(X0,nil))),
% 0.07/0.40 inference(resolution,[status(thm)],[f864,f374])).
% 0.07/0.40 fof(f1038,definition,(
% 0.07/0.40 ![X0,X1]: (sQ36_spl <=> (~ssList(X0)|~ssList(X1)|segmentP(app(app(X1,sk3),X0),nil)))),
% 0.07/0.40 introduced(definition,[new_symbols(definition,[sQ36_spl])],[split_symbol_definition])).
% 0.07/0.40 fof(f1041,plain,(
% 0.07/0.40 sQ36_spl|~sQ16_spl|~sQ12_spl),
% 0.07/0.40 inference(split_clause,[status(thm)],[f1035,f1038,f663,f643])).
% 0.07/0.40 fof(f1042,definition,(
% 0.07/0.40 ![X0]: (sQ37_spl <=> (~segmentP(X0,sk3)|~ssList(X0)|segmentP(X0,nil)))),
% 0.07/0.40 introduced(definition,[new_symbols(definition,[sQ37_spl])],[split_symbol_definition])).
% 0.07/0.40 fof(f1045,plain,(
% 0.07/0.40 sQ37_spl|~sQ16_spl|~sQ12_spl),
% 0.07/0.40 inference(split_clause,[status(thm)],[f1036,f1042,f663,f643])).
% 0.07/0.40 fof(f1099,plain,(
% 0.07/0.40 ![X0,X1]: (~ssList(X0)|~ssList(X1)|~ssList(nil)|~ssList(sk4)|segmentP(app(app(X1,sk4),X0),nil))),
% 0.07/0.40 inference(resolution,[status(thm)],[f886,f404])).
% 0.07/0.40 fof(f1100,plain,(
% 0.07/0.40 ![X0]: (~segmentP(X0,sk4)|~ssList(nil)|~ssList(sk4)|~ssList(X0)|segmentP(X0,nil))),
% 0.07/0.40 inference(resolution,[status(thm)],[f886,f374])).
% 0.07/0.40 fof(f1102,definition,(
% 0.07/0.40 ![X0,X1]: (sQ43_spl <=> (~ssList(X0)|~ssList(X1)|segmentP(app(app(X1,sk4),X0),nil)))),
% 0.07/0.40 introduced(definition,[new_symbols(definition,[sQ43_spl])],[split_symbol_definition])).
% 0.07/0.40 fof(f1105,plain,(
% 0.07/0.40 sQ43_spl|~sQ16_spl|~sQ10_spl),
% 0.07/0.40 inference(split_clause,[status(thm)],[f1099,f1102,f663,f555])).
% 0.07/0.40 fof(f1106,definition,(
% 0.07/0.40 ![X0]: (sQ44_spl <=> (~segmentP(X0,sk4)|~ssList(X0)|segmentP(X0,nil)))),
% 0.07/0.40 introduced(definition,[new_symbols(definition,[sQ44_spl])],[split_symbol_definition])).
% 0.07/0.40 fof(f1109,plain,(
% 0.07/0.40 sQ44_spl|~sQ16_spl|~sQ10_spl),
% 0.07/0.40 inference(split_clause,[status(thm)],[f1100,f1106,f663,f555])).
% 0.07/0.40 fof(f1118,plain,(
% 0.07/0.40 ~ssList(sk3)|~neq(sk3,nil)|~segmentP(sk4,sk3)|~sQ4_spl),
% 0.07/0.40 inference(resolution,[status(thm)],[f523,f750])).
% 0.07/0.40 fof(f1133,plain,(
% 0.07/0.40 ~sQ12_spl|~sQ7_spl|~sQ8_spl|~sQ4_spl),
% 0.07/0.40 inference(split_clause,[status(thm)],[f1118,f643,f470,f474,f458])).
% 0.07/0.40 fof(f1138,plain,(
% 0.07/0.40 $false),
% 0.07/0.40 inference(sat_refutation,[status(thm)],[f461,f465,f466,f473,f477,f482,f520,f561,f569,f571,f572,f594,f599,f649,f676,f684,f686,f688,f690,f702,f706,f710,f714,f719,f721,f746,f769,f773,f850,f859,f889,f893,f1041,f1045,f1105,f1109,f1133])).
% 0.07/0.40 % SZS output end CNFRefutation for theBenchmark.p
% 0.14/0.42 % Elapsed time: 0.066919 seconds
% 0.14/0.42 % CPU time: 0.192467 seconds
% 0.14/0.42 % Total memory used: 75.811 MB
% 0.14/0.42 % Net memory used: 75.680 MB
%------------------------------------------------------------------------------