%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SWC229-1 : 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 : n017.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 02:41:55 PM UTC 2026
% Result : Unsatisfiable 153.97s 20.05s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWC229-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.34 % Computer : n017.cluster.edu
% 0.08/0.34 % Model : x86_64 x86_64
% 0.08/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.34 % Memory : 8046.5625MB
% 0.08/0.34 % OS : Linux 6.8.0-71-generic
% 0.08/0.34 % CPULimit : 300
% 0.08/0.34 % WCLimit : 300
% 0.08/0.34 % DateTime : Mon Sep 21 08:01:56 UTC 2026
% 0.08/0.34 % CPUTime :
% 0.08/0.36 % Drodi V4.1.1
% 153.97/20.05 % Refutation found
% 153.97/20.05 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 153.97/20.05 % SZS output start CNFRefutation for theBenchmark
% 153.97/20.05 fof(f8,axiom,(
% 153.97/20.05 ssList(nil) ),
% 153.97/20.05 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 153.97/20.05 fof(f26,axiom,(
% 153.97/20.05 (![U]: (ssItem(skaf69(U)) ))),
% 153.97/20.05 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 153.97/20.05 fof(f71,axiom,(
% 153.97/20.05 (![U]: (( ~ memberP(nil,U)| ~ ssItem(U) ) ))),
% 153.97/20.05 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 153.97/20.05 fof(f72,axiom,(
% 153.97/20.05 (![U,V]: (( ~ ssList(U)| duplicatefreeP(U)| ssItem(V) ) ))),
% 153.97/20.05 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 153.97/20.05 fof(f73,axiom,(
% 153.97/20.05 (![U]: (( ~ ssList(U)| app(U,nil) = U ) ))),
% 153.97/20.05 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 153.97/20.05 fof(f74,axiom,(
% 153.97/20.05 (![U]: (( ~ ssList(U)| app(nil,U) = U ) ))),
% 153.97/20.05 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 153.97/20.05 fof(f80,axiom,(
% 153.97/20.05 (![U]: (( ~ segmentP(nil,U)| ~ ssList(U)| nil = U ) ))),
% 153.97/20.05 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 153.97/20.05 fof(f85,axiom,(
% 153.97/20.05 (![U,V]: (( ~ ssList(U)| ~ ssList(V)| ssList(app(V,U)) ) ))),
% 153.97/20.05 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 153.97/20.05 fof(f86,axiom,(
% 153.97/20.05 (![U,V]: (( ~ ssItem(U)| ~ ssList(V)| ssList(cons(U,V)) ) ))),
% 153.97/20.05 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 153.97/20.05 fof(f100,axiom,(
% 153.97/20.05 (![U,V]: (( ~ ssList(U)| ~ ssList(V)| neq(V,U)| V = U ) ))),
% 153.97/20.05 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 153.97/20.05 fof(f101,axiom,(
% 153.97/20.05 (![U]: (( ~ singletonP(U)| ~ ssList(U)| cons(skaf44(U),nil) = U ) ))),
% 153.97/20.05 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 153.97/20.05 fof(f120,axiom,(
% 153.97/20.05 (![U,V]: (( ~ ssItem(U)| ~ ssList(V)| app(cons(U,nil),V) = cons(U,V) ) ))),
% 153.97/20.05 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 153.97/20.05 fof(f179,axiom,(
% 153.97/20.05 (![U,V,W,X,Y]: (( app(app(U,cons(V,W)),cons(V,X)) != Y| ~ ssList(X)| ~ ssList(W)| ~ ssList(U)| ~ ssItem(V)| ~ duplicatefreeP(Y)| ~ ssList(Y) ) ))),
% 153.97/20.05 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 153.97/20.05 fof(f186,negated_conjecture,(
% 153.97/20.05 ssList(sk1) ),
% 153.97/20.05 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 153.97/20.05 fof(f187,negated_conjecture,(
% 153.97/20.05 ssList(sk2) ),
% 153.97/20.05 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 153.97/20.05 fof(f190,negated_conjecture,(
% 153.97/20.05 sk2 = sk4 ),
% 153.97/20.05 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 153.97/20.05 fof(f191,negated_conjecture,(
% 153.97/20.05 sk1 = sk3 ),
% 153.97/20.05 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 153.97/20.05 fof(f192,negated_conjecture,(
% 153.97/20.05 segmentP(sk4,sk3) ),
% 153.97/20.05 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 153.97/20.05 fof(f193,negated_conjecture,(
% 153.97/20.05 nil != sk1 ),
% 153.97/20.05 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 153.97/20.05 fof(f195,negated_conjecture,(
% 153.97/20.05 (![A,B,C]: (( ~ ssItem(A)| ~ ssList(B)| ~ ssList(C)| app(app(B,cons(A,nil)),C) != sk1| memberP(B,sk5(C,B,A)) ) ))),
% 153.97/20.05 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 153.97/20.05 fof(f199,negated_conjecture,(
% 153.97/20.05 ( singletonP(sk3)| ~ neq(sk4,nil) ) ),
% 153.97/20.05 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 153.97/20.05 fof(f207,plain,(
% 153.97/20.05 ssList(nil)),
% 153.97/20.05 inference(cnf_transformation,[status(thm)],[f8])).
% 153.97/20.05 fof(f225,plain,(
% 153.97/20.05 ![X0]: (ssItem(skaf69(X0)))),
% 153.97/20.05 inference(cnf_transformation,[status(thm)],[f26])).
% 153.97/20.05 fof(f270,plain,(
% 153.97/20.05 ![X0]: (~memberP(nil,X0)|~ssItem(X0))),
% 153.97/20.05 inference(cnf_transformation,[status(thm)],[f71])).
% 153.97/20.05 fof(f271,plain,(
% 153.97/20.05 (![U]: (~ssList(U)|duplicatefreeP(U)))|(![V]: ssItem(V))),
% 153.97/20.05 inference(miniscoping,[status(thm)],[f72])).
% 153.97/20.05 fof(f272,plain,(
% 153.97/20.05 ![X0,X1]: (~ssList(X0)|duplicatefreeP(X0)|ssItem(X1))),
% 153.97/20.05 inference(cnf_transformation,[status(thm)],[f271])).
% 153.97/20.05 fof(f273,plain,(
% 153.97/20.05 ![X0]: (~ssList(X0)|app(X0,nil)=X0)),
% 153.97/20.05 inference(cnf_transformation,[status(thm)],[f73])).
% 153.97/20.05 fof(f274,plain,(
% 153.97/20.05 ![X0]: (~ssList(X0)|app(nil,X0)=X0)),
% 153.97/20.05 inference(cnf_transformation,[status(thm)],[f74])).
% 153.97/20.05 fof(f280,plain,(
% 153.97/20.05 ![X0]: (~segmentP(nil,X0)|~ssList(X0)|nil=X0)),
% 153.97/20.05 inference(cnf_transformation,[status(thm)],[f80])).
% 153.97/20.05 fof(f285,plain,(
% 153.97/20.05 ![X0,X1]: (~ssList(X0)|~ssList(X1)|ssList(app(X1,X0)))),
% 153.97/20.05 inference(cnf_transformation,[status(thm)],[f85])).
% 153.97/20.05 fof(f286,plain,(
% 153.97/20.05 ![X0,X1]: (~ssItem(X0)|~ssList(X1)|ssList(cons(X0,X1)))),
% 153.97/20.05 inference(cnf_transformation,[status(thm)],[f86])).
% 153.97/20.06 fof(f302,plain,(
% 153.97/20.06 ![X0,X1]: (~ssList(X0)|~ssList(X1)|neq(X1,X0)|X1=X0)),
% 153.97/20.06 inference(cnf_transformation,[status(thm)],[f100])).
% 153.97/20.06 fof(f303,plain,(
% 153.97/20.06 ![X0]: (~singletonP(X0)|~ssList(X0)|cons(skaf44(X0),nil)=X0)),
% 153.97/20.06 inference(cnf_transformation,[status(thm)],[f101])).
% 153.97/20.06 fof(f330,plain,(
% 153.97/20.06 ![X0,X1]: (~ssItem(X0)|~ssList(X1)|app(cons(X0,nil),X1)=cons(X0,X1))),
% 153.97/20.06 inference(cnf_transformation,[status(thm)],[f120])).
% 153.97/20.06 fof(f416,plain,(
% 153.97/20.06 ![Y]: (((![V]: ((![U]: ((![W]: ((![X]: (~app(app(U,cons(V,W)),cons(V,X))=Y|~ssList(X)))|~ssList(W)))|~ssList(U)))|~ssItem(V)))|~duplicatefreeP(Y))|~ssList(Y))),
% 153.97/20.06 inference(miniscoping,[status(thm)],[f179])).
% 153.97/20.06 fof(f417,plain,(
% 153.97/20.06 ![X0,X1,X2,X3,X4]: (~app(app(X0,cons(X1,X2)),cons(X1,X3))=X4|~ssList(X3)|~ssList(X2)|~ssList(X0)|~ssItem(X1)|~duplicatefreeP(X4)|~ssList(X4))),
% 153.97/20.06 inference(cnf_transformation,[status(thm)],[f416])).
% 153.97/20.06 fof(f430,plain,(
% 153.97/20.06 ssList(sk1)),
% 153.97/20.06 inference(cnf_transformation,[status(thm)],[f186])).
% 153.97/20.06 fof(f431,plain,(
% 153.97/20.06 ssList(sk2)),
% 153.97/20.06 inference(cnf_transformation,[status(thm)],[f187])).
% 153.97/20.06 fof(f434,plain,(
% 153.97/20.06 sk2=sk4),
% 153.97/20.06 inference(cnf_transformation,[status(thm)],[f190])).
% 153.97/20.06 fof(f435,plain,(
% 153.97/20.06 sk1=sk3),
% 153.97/20.06 inference(cnf_transformation,[status(thm)],[f191])).
% 153.97/20.06 fof(f436,plain,(
% 153.97/20.06 segmentP(sk4,sk3)),
% 153.97/20.06 inference(cnf_transformation,[status(thm)],[f192])).
% 153.97/20.06 fof(f437,plain,(
% 153.97/20.06 ~nil=sk1),
% 153.97/20.06 inference(cnf_transformation,[status(thm)],[f193])).
% 153.97/20.06 fof(f439,plain,(
% 153.97/20.06 ![X0,X1,X2]: (~ssItem(X0)|~ssList(X1)|~ssList(X2)|~app(app(X1,cons(X0,nil)),X2)=sk1|memberP(X1,sk5(X2,X1,X0)))),
% 153.97/20.06 inference(cnf_transformation,[status(thm)],[f195])).
% 153.97/20.06 fof(f443,plain,(
% 153.97/20.06 singletonP(sk3)|~neq(sk4,nil)),
% 153.97/20.06 inference(cnf_transformation,[status(thm)],[f199])).
% 153.97/20.06 fof(f444,definition,(
% 153.97/20.06 ![X0]: (sQ0_spl <=> (~ssList(X0)|duplicatefreeP(X0)))),
% 153.97/20.06 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 153.97/20.06 fof(f445,plain,(
% 153.97/20.06 ![X0]: (~ssList(X0)|duplicatefreeP(X0)|~sQ0_spl)),
% 153.97/20.06 inference(component_clause,[status(thm)],[f444])).
% 153.97/20.06 fof(f447,definition,(
% 153.97/20.06 ![X1]: (sQ1_spl <=> (ssItem(X1)))),
% 153.97/20.06 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 153.97/20.06 fof(f448,plain,(
% 153.97/20.06 ![X0]: (ssItem(X0)|~sQ1_spl)),
% 153.97/20.06 inference(component_clause,[status(thm)],[f447])).
% 153.97/20.06 fof(f450,plain,(
% 153.97/20.06 sQ0_spl|sQ1_spl),
% 153.97/20.06 inference(split_clause,[status(thm)],[f272,f444,f447])).
% 153.97/20.06 fof(f451,definition,(
% 153.97/20.06 sQ2_spl <=> (singletonP(sk3))),
% 153.97/20.06 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 153.97/20.06 fof(f452,plain,(
% 153.97/20.06 singletonP(sk3)|~sQ2_spl),
% 153.97/20.06 inference(component_clause,[status(thm)],[f451])).
% 153.97/20.06 fof(f454,definition,(
% 153.97/20.06 sQ3_spl <=> (neq(sk4,nil))),
% 153.97/20.06 introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition])).
% 153.97/20.06 fof(f456,plain,(
% 153.97/20.06 ~neq(sk4,nil)|sQ3_spl),
% 153.97/20.06 inference(component_clause,[status(thm)],[f454])).
% 153.97/20.06 fof(f457,plain,(
% 153.97/20.06 sQ2_spl|~sQ3_spl),
% 153.97/20.06 inference(split_clause,[status(thm)],[f443,f451,f454])).
% 153.97/20.06 fof(f480,plain,(
% 153.97/20.06 ![X0,X1,X2,X3]: (~ssList(X0)|~ssList(X1)|~ssList(X2)|~ssItem(X3)|~duplicatefreeP(app(app(X2,cons(X3,X1)),cons(X3,X0)))|~ssList(app(app(X2,cons(X3,X1)),cons(X3,X0))))),
% 153.97/20.06 inference(destructive_equality_resolution,[status(thm)],[f417])).
% 153.97/20.06 fof(f487,plain,(
% 153.97/20.06 segmentP(sk2,sk3)),
% 153.97/20.06 inference(backward_demodulation,[status(thm)],[f434,f436])).
% 153.97/20.06 fof(f498,plain,(
% 153.97/20.06 app(sk2,nil)=sk2),
% 153.97/20.06 inference(resolution,[status(thm)],[f273,f431])).
% 153.97/20.06 fof(f499,plain,(
% 153.97/20.06 app(sk1,nil)=sk1),
% 153.97/20.06 inference(resolution,[status(thm)],[f273,f430])).
% 153.97/20.06 fof(f511,plain,(
% 153.97/20.06 segmentP(sk2,sk1)),
% 153.97/20.06 inference(backward_demodulation,[status(thm)],[f435,f487])).
% 153.97/20.06 fof(f512,plain,(
% 153.97/20.06 singletonP(sk1)|~sQ2_spl),
% 153.97/20.06 inference(backward_demodulation,[status(thm)],[f435,f452])).
% 153.97/20.06 fof(f553,plain,(
% 153.97/20.06 ![X0]: (~ssList(X0)|ssList(app(nil,X0)))),
% 153.97/20.06 inference(resolution,[status(thm)],[f285,f207])).
% 153.97/20.06 fof(f554,plain,(
% 153.97/20.06 ![X0]: (~ssList(X0)|ssList(app(sk2,X0)))),
% 153.97/20.06 inference(resolution,[status(thm)],[f285,f431])).
% 153.97/20.06 fof(f555,plain,(
% 153.97/20.06 ![X0]: (~ssList(X0)|ssList(app(sk1,X0)))),
% 153.97/20.06 inference(resolution,[status(thm)],[f285,f430])).
% 153.97/20.06 fof(f558,definition,(
% 153.97/20.06 sQ4_spl <=> (ssList(nil))),
% 153.97/20.06 introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition])).
% 153.97/20.06 fof(f560,plain,(
% 153.97/20.06 ~ssList(nil)|sQ4_spl),
% 153.97/20.06 inference(component_clause,[status(thm)],[f558])).
% 153.97/20.06 fof(f566,plain,(
% 153.97/20.06 $false|sQ4_spl),
% 153.97/20.06 inference(forward_subsumption_resolution,[status(thm)],[f560,f207])).
% 153.97/20.06 fof(f567,plain,(
% 153.97/20.06 sQ4_spl),
% 153.97/20.06 inference(contradiction_clause,[status(thm)],[f566])).
% 153.97/20.06 fof(f571,plain,(
% 153.97/20.06 ![X0,X1]: (~ssList(X0)|~ssList(X1)|ssList(app(app(nil,X0),X1)))),
% 153.97/20.06 inference(resolution,[status(thm)],[f553,f285])).
% 153.97/20.06 fof(f580,definition,(
% 153.97/20.06 sQ6_spl <=> (ssList(sk1))),
% 153.97/20.06 introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition])).
% 153.97/20.06 fof(f584,definition,(
% 153.97/20.06 sQ7_spl <=> (ssList(sk2))),
% 153.97/20.06 introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition])).
% 153.97/20.06 fof(f610,plain,(
% 153.97/20.06 ~ssList(nil)|ssList(sk2)),
% 153.97/20.06 inference(paramodulation,[status(thm)],[f498,f554])).
% 153.97/20.06 fof(f611,plain,(
% 153.97/20.06 ~sQ4_spl|sQ7_spl),
% 153.97/20.06 inference(split_clause,[status(thm)],[f610,f558,f584])).
% 153.97/20.06 fof(f618,plain,(
% 153.97/20.06 ~ssList(nil)|ssList(sk1)),
% 153.97/20.06 inference(paramodulation,[status(thm)],[f499,f555])).
% 153.97/20.06 fof(f619,plain,(
% 153.97/20.06 ~sQ4_spl|sQ6_spl),
% 153.97/20.06 inference(split_clause,[status(thm)],[f618,f558,f580])).
% 153.97/20.06 fof(f672,plain,(
% 153.97/20.06 ![X0,X1,X2]: (~ssList(X0)|~ssList(X1)|~app(app(X0,cons(X2,nil)),X1)=sk1|memberP(X0,sk5(X1,X0,X2))|~sQ1_spl)),
% 153.97/20.06 inference(backward_subsumption_resolution,[status(thm)],[f439,f448])).
% 153.97/20.06 fof(f674,plain,(
% 153.97/20.06 ![X0,X1]: (~ssList(X0)|ssList(cons(X1,X0))|~sQ1_spl)),
% 153.97/20.06 inference(backward_subsumption_resolution,[status(thm)],[f286,f448])).
% 153.97/20.06 fof(f676,plain,(
% 153.97/20.06 ![X0]: (~memberP(nil,X0)|~sQ1_spl)),
% 153.97/20.06 inference(backward_subsumption_resolution,[status(thm)],[f270,f448])).
% 153.97/20.06 fof(f734,plain,(
% 153.97/20.06 ![X0,X1,X2]: (~ssList(X0)|~ssList(X1)|ssList(app(cons(X2,X0),X1))|~sQ1_spl)),
% 153.97/20.06 inference(resolution,[status(thm)],[f674,f285])).
% 153.97/20.06 fof(f830,definition,(
% 153.97/20.06 sQ15_spl <=> (nil=sk2)),
% 153.97/20.06 introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition])).
% 153.97/20.06 fof(f831,plain,(
% 153.97/20.06 nil=sk2|~sQ15_spl),
% 153.97/20.06 inference(component_clause,[status(thm)],[f830])).
% 153.97/20.06 fof(f837,definition,(
% 153.97/20.06 sQ17_spl <=> (nil=sk1)),
% 153.97/20.06 introduced(definition,[new_symbols(definition,[sQ17_spl])],[split_symbol_definition])).
% 153.97/20.06 fof(f838,plain,(
% 153.97/20.06 nil=sk1|~sQ17_spl),
% 153.97/20.06 inference(component_clause,[status(thm)],[f837])).
% 153.97/20.06 fof(f841,plain,(
% 153.97/20.06 ![X0,X1]: (~ssList(X0)|app(cons(X1,nil),X0)=cons(X1,X0)|~sQ1_spl)),
% 153.97/20.06 inference(forward_subsumption_resolution,[status(thm)],[f330,f448])).
% 153.97/20.06 fof(f860,plain,(
% 153.97/20.06 ![X0]: (app(cons(X0,nil),nil)=cons(X0,nil)|~sQ1_spl)),
% 153.97/20.06 inference(resolution,[status(thm)],[f841,f207])).
% 153.97/20.06 fof(f1095,plain,(
% 153.97/20.06 ~ssList(sk1)|cons(skaf44(sk1),nil)=sk1|~sQ2_spl),
% 153.97/20.06 inference(resolution,[status(thm)],[f303,f512])).
% 153.97/20.06 fof(f1097,definition,(
% 153.97/20.06 sQ27_spl <=> (cons(skaf44(sk1),nil)=sk1)),
% 153.97/20.06 introduced(definition,[new_symbols(definition,[sQ27_spl])],[split_symbol_definition])).
% 153.97/20.06 fof(f1098,plain,(
% 153.97/20.06 cons(skaf44(sk1),nil)=sk1|~sQ27_spl),
% 153.97/20.06 inference(component_clause,[status(thm)],[f1097])).
% 153.97/20.06 fof(f1100,plain,(
% 153.97/20.06 ~sQ6_spl|sQ27_spl|~sQ2_spl),
% 153.97/20.06 inference(split_clause,[status(thm)],[f1095,f580,f1097,f451])).
% 153.97/20.06 fof(f1101,plain,(
% 153.97/20.06 ~neq(sk2,nil)|sQ3_spl),
% 153.97/20.06 inference(forward_demodulation,[status(thm)],[f434,f456])).
% 153.97/20.06 fof(f1102,plain,(
% 153.97/20.06 ~ssList(nil)|~ssList(sk2)|sk2=nil|sQ3_spl),
% 153.97/20.06 inference(resolution,[status(thm)],[f1101,f302])).
% 153.97/20.06 fof(f1103,plain,(
% 153.97/20.06 ~sQ4_spl|~sQ7_spl|sQ15_spl|sQ3_spl),
% 153.97/20.06 inference(split_clause,[status(thm)],[f1102,f558,f584,f830,f454])).
% 153.97/20.06 fof(f1273,plain,(
% 153.97/20.06 ![X0]: (~ssList(nil)|~ssList(nil)|ssList(cons(X0,nil))|~sQ1_spl)),
% 153.97/20.06 inference(paramodulation,[status(thm)],[f860,f734])).
% 153.97/20.06 fof(f1276,definition,(
% 153.97/20.06 ![X0]: (sQ36_spl <=> (ssList(cons(X0,nil))))),
% 153.97/20.06 introduced(definition,[new_symbols(definition,[sQ36_spl])],[split_symbol_definition])).
% 153.97/20.06 fof(f1277,plain,(
% 153.97/20.06 ![X0]: (ssList(cons(X0,nil))|~sQ36_spl)),
% 153.97/20.06 inference(component_clause,[status(thm)],[f1276])).
% 153.97/20.06 fof(f1279,plain,(
% 153.97/20.06 ~sQ4_spl|sQ36_spl|~sQ1_spl),
% 153.97/20.06 inference(split_clause,[status(thm)],[f1273,f558,f1276,f447])).
% 153.97/20.06 fof(f1300,plain,(
% 153.97/20.06 ![X0]: (app(nil,cons(X0,nil))=cons(X0,nil)|~sQ36_spl)),
% 153.97/20.06 inference(resolution,[status(thm)],[f1277,f274])).
% 153.97/20.06 fof(f3040,plain,(
% 153.97/20.06 ![X0,X1]: (~ssList(nil)|~ssList(X0)|~app(app(nil,cons(X1,nil)),X0)=sk1|~sQ1_spl)),
% 153.97/20.06 inference(resolution,[status(thm)],[f676,f672])).
% 153.97/20.06 fof(f3042,definition,(
% 153.97/20.06 ![X0,X1]: (sQ103_spl <=> (~ssList(X0)|~app(app(nil,cons(X1,nil)),X0)=sk1))),
% 153.97/20.06 introduced(definition,[new_symbols(definition,[sQ103_spl])],[split_symbol_definition])).
% 153.97/20.06 fof(f3043,plain,(
% 153.97/20.06 ![X0,X1]: (~ssList(X0)|~app(app(nil,cons(X1,nil)),X0)=sk1|~sQ103_spl)),
% 153.97/20.06 inference(component_clause,[status(thm)],[f3042])).
% 153.97/20.06 fof(f3045,plain,(
% 153.97/20.06 ~sQ4_spl|sQ103_spl|~sQ1_spl),
% 153.97/20.06 inference(split_clause,[status(thm)],[f3040,f558,f3042,f447])).
% 153.97/20.06 fof(f3050,plain,(
% 153.97/20.06 ![X0,X1]: (~ssList(X0)|~app(cons(X1,nil),X0)=sk1|~sQ36_spl|~sQ103_spl)),
% 153.97/20.06 inference(forward_demodulation,[status(thm)],[f1300,f3043])).
% 153.97/20.06 fof(f3098,plain,(
% 153.97/20.06 ![X0]: (~app(cons(X0,nil),nil)=sk1|~sQ36_spl|~sQ103_spl)),
% 153.97/20.06 inference(resolution,[status(thm)],[f3050,f207])).
% 153.97/20.06 fof(f3274,plain,(
% 153.97/20.06 $false|~sQ17_spl),
% 153.97/20.06 inference(forward_subsumption_resolution,[status(thm)],[f838,f437])).
% 153.97/20.06 fof(f3275,plain,(
% 153.97/20.06 ~sQ17_spl),
% 153.97/20.06 inference(contradiction_clause,[status(thm)],[f3274])).
% 153.97/20.06 fof(f3462,plain,(
% 153.97/20.06 segmentP(nil,sk1)|~sQ15_spl),
% 153.97/20.06 inference(backward_demodulation,[status(thm)],[f831,f511])).
% 153.97/20.06 fof(f3509,plain,(
% 153.97/20.06 ~ssList(sk1)|nil=sk1|~sQ15_spl),
% 153.97/20.06 inference(resolution,[status(thm)],[f3462,f280])).
% 153.97/20.06 fof(f3513,plain,(
% 153.97/20.06 ~sQ6_spl|sQ17_spl|~sQ15_spl),
% 153.97/20.06 inference(split_clause,[status(thm)],[f3509,f580,f837,f830])).
% 153.97/20.06 fof(f17576,plain,(
% 153.97/20.06 ![X0,X1,X2,X3]: (~ssList(X0)|~ssList(X1)|~ssList(X2)|~ssItem(X3)|~ssList(app(app(X2,cons(X3,X1)),cons(X3,X0)))|~sQ0_spl)),
% 153.97/20.06 inference(forward_subsumption_resolution,[status(thm)],[f480,f445])).
% 153.97/20.06 fof(f17577,plain,(
% 153.97/20.06 ![X0,X1,X2]: (~ssList(X0)|~ssList(X1)|~ssList(nil)|~ssItem(X2)|~ssList(cons(X2,X1))|~ssList(cons(X2,X0))|~sQ0_spl)),
% 153.97/20.06 inference(resolution,[status(thm)],[f17576,f571])).
% 153.97/20.06 fof(f17585,definition,(
% 153.97/20.06 ![X0,X1,X2]: (sQ725_spl <=> (~ssList(X0)|~ssList(X1)|~ssItem(X2)|~ssList(cons(X2,X1))|~ssList(cons(X2,X0))))),
% 153.97/20.06 introduced(definition,[new_symbols(definition,[sQ725_spl])],[split_symbol_definition])).
% 153.97/20.06 fof(f17586,plain,(
% 153.97/20.06 ![X0,X1,X2]: (~ssList(X0)|~ssList(X1)|~ssItem(X2)|~ssList(cons(X2,X1))|~ssList(cons(X2,X0))|~sQ725_spl)),
% 153.97/20.06 inference(component_clause,[status(thm)],[f17585])).
% 153.97/20.06 fof(f17588,plain,(
% 153.97/20.06 sQ725_spl|~sQ4_spl|~sQ0_spl),
% 153.97/20.06 inference(split_clause,[status(thm)],[f17577,f17585,f558,f444])).
% 153.97/20.06 fof(f17614,plain,(
% 153.97/20.06 ![X0,X1,X2]: (~ssList(X0)|~ssList(X1)|~ssItem(X2)|~ssList(cons(X2,X0))|~sQ725_spl)),
% 153.97/20.06 inference(forward_subsumption_resolution,[status(thm)],[f17586,f286])).
% 153.97/20.06 fof(f47716,definition,(
% 153.97/20.06 ![X0,X2]: (sQ1183_spl <=> (~ssList(X0)|~ssItem(X2)|~ssList(cons(X2,X0))))),
% 153.97/20.06 introduced(definition,[new_symbols(definition,[sQ1183_spl])],[split_symbol_definition])).
% 153.97/20.06 fof(f47717,plain,(
% 153.97/20.06 ![X0,X1]: (~ssList(X0)|~ssItem(X1)|~ssList(cons(X1,X0))|~sQ1183_spl)),
% 153.97/20.06 inference(component_clause,[status(thm)],[f47716])).
% 153.97/20.06 fof(f47719,definition,(
% 153.97/20.06 ![X1]: (sQ1184_spl <=> (~ssList(X1)))),
% 153.97/20.06 introduced(definition,[new_symbols(definition,[sQ1184_spl])],[split_symbol_definition])).
% 153.97/20.06 fof(f47720,plain,(
% 153.97/20.06 ![X0]: (~ssList(X0)|~sQ1184_spl)),
% 153.97/20.06 inference(component_clause,[status(thm)],[f47719])).
% 153.97/20.06 fof(f47722,plain,(
% 153.97/20.06 sQ1183_spl|sQ1184_spl|~sQ725_spl),
% 153.97/20.06 inference(split_clause,[status(thm)],[f17614,f47716,f47719,f17585])).
% 153.97/20.06 fof(f50315,plain,(
% 153.97/20.06 ![X0,X1]: (~ssList(X0)|~ssItem(X1)|~sQ1183_spl)),
% 153.97/20.06 inference(forward_subsumption_resolution,[status(thm)],[f47717,f286])).
% 153.97/20.06 fof(f50316,plain,(
% 153.97/20.06 ![X0]: (~ssList(X0)|~sQ1183_spl)),
% 153.97/20.06 inference(resolution,[status(thm)],[f50315,f225])).
% 153.97/20.06 fof(f50326,plain,(
% 153.97/20.06 $false|~sQ1183_spl),
% 153.97/20.06 inference(backward_subsumption_resolution,[status(thm)],[f431,f50316])).
% 153.97/20.06 fof(f50447,plain,(
% 153.97/20.06 ~sQ1183_spl),
% 153.97/20.06 inference(contradiction_clause,[status(thm)],[f50326])).
% 153.97/20.06 fof(f50448,plain,(
% 153.97/20.06 $false|~sQ1184_spl),
% 153.97/20.06 inference(forward_subsumption_resolution,[status(thm)],[f431,f47720])).
% 153.97/20.06 fof(f50449,plain,(
% 153.97/20.06 ~sQ1184_spl),
% 153.97/20.06 inference(contradiction_clause,[status(thm)],[f50448])).
% 153.97/20.06 fof(f51065,plain,(
% 153.97/20.06 ~app(sk1,nil)=sk1|~sQ36_spl|~sQ103_spl|~sQ27_spl),
% 153.97/20.06 inference(paramodulation,[status(thm)],[f1098,f3098])).
% 153.97/20.06 fof(f51066,plain,(
% 153.97/20.06 ~sk1=sk1|~sQ36_spl|~sQ103_spl|~sQ27_spl),
% 155.84/20.13 inference(forward_demodulation,[status(thm)],[f499,f51065])).
% 155.84/20.13 fof(f51067,plain,(
% 155.84/20.13 $false|~sQ36_spl|~sQ103_spl|~sQ27_spl),
% 155.84/20.13 inference(trivial_equality_resolution,[status(thm)],[f51066])).
% 155.84/20.13 fof(f51068,plain,(
% 155.84/20.13 ~sQ36_spl|~sQ103_spl|~sQ27_spl),
% 155.84/20.13 inference(contradiction_clause,[status(thm)],[f51067])).
% 155.84/20.13 fof(f51069,plain,(
% 155.84/20.13 $false),
% 155.84/20.13 inference(sat_refutation,[status(thm)],[f450,f457,f567,f611,f619,f1100,f1103,f1279,f3045,f3275,f3513,f17588,f47722,f50447,f50449,f51068])).
% 155.84/20.13 % SZS output end CNFRefutation for theBenchmark.p
% 4.94/20.21 % Elapsed time: 19.843001 seconds
% 4.94/20.21 % CPU time: 156.798235 seconds
% 4.94/20.21 % Total memory used: 1.312 GB
% 4.94/20.21 % Net memory used: 1.211 GB
%------------------------------------------------------------------------------