%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SWC413-1 : 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 : n014.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 02:42:24 PM UTC 2026
% Result : Unsatisfiable 0.10s 1.00s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWC413-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.03 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.95 % Computer : n014.cluster.edu
% 0.10/0.95 % Model : x86_64 x86_64
% 0.10/0.95 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.95 % Memory : 8046.5625MB
% 0.10/0.95 % OS : Linux 6.8.0-71-generic
% 0.10/0.95 % CPULimit : 300
% 0.10/0.95 % WCLimit : 300
% 0.10/0.95 % DateTime : Mon Sep 21 08:22:35 UTC 2026
% 0.10/0.95 % CPUTime :
% 0.10/0.96 % Drodi V4.1.1
% 0.10/1.00 % Refutation found
% 0.10/1.00 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.10/1.00 % SZS output start CNFRefutation for theBenchmark
% 0.10/1.00 fof(f8,axiom,(
% 0.10/1.00 ssList(nil) ),
% 0.10/1.00 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/1.00 fof(f73,axiom,(
% 0.10/1.00 (![U]: (( ~ ssList(U)| app(U,nil) = U ) ))),
% 0.10/1.00 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/1.00 fof(f74,axiom,(
% 0.10/1.00 (![U]: (( ~ ssList(U)| app(nil,U) = U ) ))),
% 0.10/1.00 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/1.00 fof(f118,axiom,(
% 0.10/1.00 (![U,V]: (( app(U,V) != nil| ~ ssList(V)| ~ ssList(U)| nil = U ) ))),
% 0.10/1.00 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/1.00 fof(f150,axiom,(
% 0.10/1.00 (![U,V,W]: (( app(U,V) != app(U,W)| ~ ssList(V)| ~ ssList(U)| ~ ssList(W)| V = W ) ))),
% 0.10/1.00 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/1.00 fof(f151,axiom,(
% 0.10/1.00 (![U,V,W]: (( app(U,V) != app(W,V)| ~ ssList(U)| ~ ssList(V)| ~ ssList(W)| U = W ) ))),
% 0.10/1.00 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/1.00 fof(f188,negated_conjecture,(
% 0.10/1.00 ssList(sk3) ),
% 0.10/1.00 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/1.00 fof(f189,negated_conjecture,(
% 0.10/1.00 ssList(sk4) ),
% 0.10/1.00 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/1.00 fof(f190,negated_conjecture,(
% 0.10/1.00 sk2 = sk4 ),
% 0.10/1.00 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/1.00 fof(f191,negated_conjecture,(
% 0.10/1.00 sk1 = sk3 ),
% 0.10/1.00 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/1.00 fof(f192,negated_conjecture,(
% 0.10/1.00 (![A,B,C,D,E,F]: (( ~ ssItem(A)| ~ ssItem(B)| ~ ssList(C)| app(app(cons(A,nil),cons(B,nil)),C) != sk2| app(app(cons(B,nil),cons(A,nil)),C) != sk1| ~ ssItem(D)| ~ ssItem(E)| ~ ssList(F)| app(app(cons(D,nil),cons(E,nil)),F) != sk4 ) ))),
% 0.10/1.00 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/1.00 fof(f193,negated_conjecture,(
% 0.10/1.00 (![A,B,C]: (( ~ ssItem(A)| ~ ssItem(B)| ~ ssList(C)| app(app(cons(A,nil),cons(B,nil)),C) != sk2| app(app(cons(B,nil),cons(A,nil)),C) != sk1| ssItem(sk11) ) ))),
% 0.10/1.00 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/1.00 fof(f194,negated_conjecture,(
% 0.10/1.00 (![A,B,C]: (( ~ ssItem(A)| ~ ssItem(B)| ~ ssList(C)| app(app(cons(A,nil),cons(B,nil)),C) != sk2| app(app(cons(B,nil),cons(A,nil)),C) != sk1| ssItem(sk12) ) ))),
% 0.10/1.00 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/1.00 fof(f195,negated_conjecture,(
% 0.10/1.00 (![A,B,C]: (( ~ ssItem(A)| ~ ssItem(B)| ~ ssList(C)| app(app(cons(A,nil),cons(B,nil)),C) != sk2| app(app(cons(B,nil),cons(A,nil)),C) != sk1| ssList(sk13) ) ))),
% 0.10/1.00 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/1.00 fof(f196,negated_conjecture,(
% 0.10/1.00 (![A,B,C]: (( ~ ssItem(A)| ~ ssItem(B)| ~ ssList(C)| app(app(cons(A,nil),cons(B,nil)),C) != sk2| app(app(cons(B,nil),cons(A,nil)),C) != sk1| app(app(cons(sk11,nil),cons(sk12,nil)),sk13) = sk2 ) ))),
% 0.10/1.00 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/1.00 fof(f201,negated_conjecture,(
% 0.10/1.00 (![A,B,C]: (( ssItem(sk8)| ~ ssItem(A)| ~ ssItem(B)| ~ ssList(C)| app(app(cons(A,nil),cons(B,nil)),C) != sk4 ) ))),
% 0.10/1.00 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/1.00 fof(f202,negated_conjecture,(
% 0.10/1.00 (![A,B,C]: (( ssItem(sk9)| ~ ssItem(A)| ~ ssItem(B)| ~ ssList(C)| app(app(cons(A,nil),cons(B,nil)),C) != sk4 ) ))),
% 0.10/1.00 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/1.00 fof(f203,negated_conjecture,(
% 0.10/1.00 (![A,B,C]: (( ssList(sk10)| ~ ssItem(A)| ~ ssItem(B)| ~ ssList(C)| app(app(cons(A,nil),cons(B,nil)),C) != sk4 ) ))),
% 0.10/1.00 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/1.00 fof(f204,negated_conjecture,(
% 0.10/1.00 (![A,B,C]: (( app(app(cons(sk8,nil),cons(sk9,nil)),sk10) = sk4| ~ ssItem(A)| ~ ssItem(B)| ~ ssList(C)| app(app(cons(A,nil),cons(B,nil)),C) != sk4 ) ))),
% 0.10/1.00 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/1.00 fof(f205,negated_conjecture,(
% 0.10/1.00 (![A,B,C]: (( app(app(cons(sk9,nil),cons(sk8,nil)),sk10) = sk3| ~ ssItem(A)| ~ ssItem(B)| ~ ssList(C)| app(app(cons(A,nil),cons(B,nil)),C) != sk4 ) ))),
% 0.10/1.00 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/1.00 fof(f222,negated_conjecture,(
% 0.10/1.00 ( ssItem(sk8)| ssItem(sk11) ) ),
% 0.10/1.00 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/1.00 fof(f223,negated_conjecture,(
% 0.10/1.00 ( ssItem(sk9)| ssItem(sk11) ) ),
% 0.10/1.00 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/1.00 fof(f224,negated_conjecture,(
% 0.10/1.00 ( ssList(sk10)| ssItem(sk11) ) ),
% 0.10/1.00 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/1.00 fof(f225,negated_conjecture,(
% 0.10/1.00 ( app(app(cons(sk8,nil),cons(sk9,nil)),sk10) = sk4| ssItem(sk11) ) ),
% 0.10/1.00 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/1.00 fof(f226,negated_conjecture,(
% 0.10/1.00 ( app(app(cons(sk9,nil),cons(sk8,nil)),sk10) = sk3| ssItem(sk11) ) ),
% 0.10/1.00 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/1.00 fof(f227,negated_conjecture,(
% 0.10/1.00 ( ssItem(sk8)| ssItem(sk12) ) ),
% 0.10/1.00 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/1.00 fof(f228,negated_conjecture,(
% 0.10/1.00 ( ssItem(sk8)| ssList(sk13) ) ),
% 0.10/1.00 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/1.00 fof(f229,negated_conjecture,(
% 0.10/1.00 ( ssItem(sk8)| app(app(cons(sk11,nil),cons(sk12,nil)),sk13) = sk2 ) ),
% 0.10/1.00 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/1.00 fof(f230,negated_conjecture,(
% 0.10/1.00 ( ssItem(sk9)| ssItem(sk12) ) ),
% 0.10/1.00 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/1.00 fof(f231,negated_conjecture,(
% 0.10/1.00 ( ssList(sk10)| ssItem(sk12) ) ),
% 0.10/1.00 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/1.00 fof(f232,negated_conjecture,(
% 0.10/1.00 ( app(app(cons(sk8,nil),cons(sk9,nil)),sk10) = sk4| ssItem(sk12) ) ),
% 0.10/1.00 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/1.00 fof(f233,negated_conjecture,(
% 0.10/1.00 ( app(app(cons(sk9,nil),cons(sk8,nil)),sk10) = sk3| ssItem(sk12) ) ),
% 0.10/1.00 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/1.00 fof(f234,negated_conjecture,(
% 0.10/1.00 ( ssItem(sk9)| ssList(sk13) ) ),
% 0.10/1.00 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/1.00 fof(f235,negated_conjecture,(
% 0.10/1.00 ( ssItem(sk9)| app(app(cons(sk11,nil),cons(sk12,nil)),sk13) = sk2 ) ),
% 0.10/1.00 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/1.00 fof(f236,negated_conjecture,(
% 0.10/1.00 ( ssList(sk10)| ssList(sk13) ) ),
% 0.10/1.00 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/1.00 fof(f237,negated_conjecture,(
% 0.10/1.00 ( app(app(cons(sk8,nil),cons(sk9,nil)),sk10) = sk4| ssList(sk13) ) ),
% 0.10/1.00 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/1.00 fof(f238,negated_conjecture,(
% 0.10/1.00 ( app(app(cons(sk9,nil),cons(sk8,nil)),sk10) = sk3| ssList(sk13) ) ),
% 0.10/1.00 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/1.00 fof(f239,negated_conjecture,(
% 0.10/1.00 ( ssList(sk10)| app(app(cons(sk11,nil),cons(sk12,nil)),sk13) = sk2 ) ),
% 0.10/1.00 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/1.00 fof(f240,negated_conjecture,(
% 0.10/1.00 ( app(app(cons(sk8,nil),cons(sk9,nil)),sk10) = sk4| app(app(cons(sk11,nil),cons(sk12,nil)),sk13) = sk2 ) ),
% 0.10/1.00 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/1.00 fof(f241,negated_conjecture,(
% 0.10/1.00 ( app(app(cons(sk9,nil),cons(sk8,nil)),sk10) = sk3| app(app(cons(sk11,nil),cons(sk12,nil)),sk13) = sk2 ) ),
% 0.10/1.00 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/1.00 fof(f249,plain,(
% 0.10/1.00 ssList(nil)),
% 0.10/1.00 inference(cnf_transformation,[status(thm)],[f8])).
% 0.10/1.00 fof(f315,plain,(
% 0.10/1.00 ![X0]: (~ssList(X0)|app(X0,nil)=X0)),
% 0.10/1.00 inference(cnf_transformation,[status(thm)],[f73])).
% 0.10/1.00 fof(f316,plain,(
% 0.10/1.00 ![X0]: (~ssList(X0)|app(nil,X0)=X0)),
% 0.10/1.00 inference(cnf_transformation,[status(thm)],[f74])).
% 0.10/1.00 fof(f368,plain,(
% 0.10/1.00 ![U]: (((![V]: (~app(U,V)=nil|~ssList(V)))|~ssList(U))|nil=U)),
% 0.10/1.00 inference(miniscoping,[status(thm)],[f118])).
% 0.10/1.00 fof(f369,plain,(
% 0.10/1.00 ![X0,X1]: (~app(X0,X1)=nil|~ssList(X1)|~ssList(X0)|nil=X0)),
% 0.10/1.00 inference(cnf_transformation,[status(thm)],[f368])).
% 0.10/1.00 fof(f411,plain,(
% 0.10/1.00 ![V,W]: (((![U]: ((~app(U,V)=app(U,W)|~ssList(V))|~ssList(U)))|~ssList(W))|V=W)),
% 0.10/1.00 inference(miniscoping,[status(thm)],[f150])).
% 0.10/1.00 fof(f412,plain,(
% 0.10/1.00 ![X0,X1,X2]: (~app(X0,X1)=app(X0,X2)|~ssList(X1)|~ssList(X0)|~ssList(X2)|X1=X2)),
% 0.10/1.00 inference(cnf_transformation,[status(thm)],[f411])).
% 0.10/1.00 fof(f413,plain,(
% 0.10/1.00 ![U,W]: (((![V]: ((~app(U,V)=app(W,V)|~ssList(U))|~ssList(V)))|~ssList(W))|U=W)),
% 0.10/1.00 inference(miniscoping,[status(thm)],[f151])).
% 0.10/1.00 fof(f414,plain,(
% 0.10/1.00 ![X0,X1,X2]: (~app(X0,X1)=app(X2,X1)|~ssList(X0)|~ssList(X1)|~ssList(X2)|X0=X2)),
% 0.10/1.00 inference(cnf_transformation,[status(thm)],[f413])).
% 0.10/1.00 fof(f474,plain,(
% 0.10/1.00 ssList(sk3)),
% 0.10/1.00 inference(cnf_transformation,[status(thm)],[f188])).
% 0.10/1.00 fof(f475,plain,(
% 0.10/1.00 ssList(sk4)),
% 0.10/1.00 inference(cnf_transformation,[status(thm)],[f189])).
% 0.10/1.00 fof(f476,plain,(
% 0.10/1.00 sk2=sk4),
% 0.10/1.00 inference(cnf_transformation,[status(thm)],[f190])).
% 0.10/1.00 fof(f477,plain,(
% 0.10/1.00 sk1=sk3),
% 0.10/1.00 inference(cnf_transformation,[status(thm)],[f191])).
% 0.10/1.00 fof(f478,plain,(
% 0.10/1.00 ![D,E,F]: (((((![A,B,C]: ((((~ssItem(A)|~ssItem(B))|~ssList(C))|~app(app(cons(A,nil),cons(B,nil)),C)=sk2)|~app(app(cons(B,nil),cons(A,nil)),C)=sk1))|~ssItem(D))|~ssItem(E))|~ssList(F))|~app(app(cons(D,nil),cons(E,nil)),F)=sk4)),
% 0.10/1.00 inference(miniscoping,[status(thm)],[f192])).
% 0.10/1.00 fof(f479,plain,(
% 0.10/1.00 ![X0,X1,X2,X3,X4,X5]: (~ssItem(X0)|~ssItem(X1)|~ssList(X2)|~app(app(cons(X0,nil),cons(X1,nil)),X2)=sk2|~app(app(cons(X1,nil),cons(X0,nil)),X2)=sk1|~ssItem(X3)|~ssItem(X4)|~ssList(X5)|~app(app(cons(X3,nil),cons(X4,nil)),X5)=sk4)),
% 0.10/1.00 inference(cnf_transformation,[status(thm)],[f478])).
% 0.10/1.00 fof(f480,plain,(
% 0.10/1.00 (![A,B,C]: ((((~ssItem(A)|~ssItem(B))|~ssList(C))|~app(app(cons(A,nil),cons(B,nil)),C)=sk2)|~app(app(cons(B,nil),cons(A,nil)),C)=sk1))|ssItem(sk11)),
% 0.10/1.00 inference(miniscoping,[status(thm)],[f193])).
% 0.10/1.00 fof(f481,plain,(
% 0.10/1.00 ![X0,X1,X2]: (~ssItem(X0)|~ssItem(X1)|~ssList(X2)|~app(app(cons(X0,nil),cons(X1,nil)),X2)=sk2|~app(app(cons(X1,nil),cons(X0,nil)),X2)=sk1|ssItem(sk11))),
% 0.10/1.00 inference(cnf_transformation,[status(thm)],[f480])).
% 0.10/1.00 fof(f482,plain,(
% 0.10/1.00 (![A,B,C]: ((((~ssItem(A)|~ssItem(B))|~ssList(C))|~app(app(cons(A,nil),cons(B,nil)),C)=sk2)|~app(app(cons(B,nil),cons(A,nil)),C)=sk1))|ssItem(sk12)),
% 0.10/1.00 inference(miniscoping,[status(thm)],[f194])).
% 0.10/1.00 fof(f483,plain,(
% 0.10/1.00 ![X0,X1,X2]: (~ssItem(X0)|~ssItem(X1)|~ssList(X2)|~app(app(cons(X0,nil),cons(X1,nil)),X2)=sk2|~app(app(cons(X1,nil),cons(X0,nil)),X2)=sk1|ssItem(sk12))),
% 0.10/1.00 inference(cnf_transformation,[status(thm)],[f482])).
% 0.10/1.00 fof(f484,plain,(
% 0.10/1.00 (![A,B,C]: ((((~ssItem(A)|~ssItem(B))|~ssList(C))|~app(app(cons(A,nil),cons(B,nil)),C)=sk2)|~app(app(cons(B,nil),cons(A,nil)),C)=sk1))|ssList(sk13)),
% 0.10/1.00 inference(miniscoping,[status(thm)],[f195])).
% 0.10/1.00 fof(f485,plain,(
% 0.10/1.00 ![X0,X1,X2]: (~ssItem(X0)|~ssItem(X1)|~ssList(X2)|~app(app(cons(X0,nil),cons(X1,nil)),X2)=sk2|~app(app(cons(X1,nil),cons(X0,nil)),X2)=sk1|ssList(sk13))),
% 0.10/1.00 inference(cnf_transformation,[status(thm)],[f484])).
% 0.10/1.00 fof(f486,plain,(
% 0.10/1.00 (![A,B,C]: ((((~ssItem(A)|~ssItem(B))|~ssList(C))|~app(app(cons(A,nil),cons(B,nil)),C)=sk2)|~app(app(cons(B,nil),cons(A,nil)),C)=sk1))|app(app(cons(sk11,nil),cons(sk12,nil)),sk13)=sk2),
% 0.10/1.00 inference(miniscoping,[status(thm)],[f196])).
% 0.10/1.00 fof(f487,plain,(
% 0.10/1.00 ![X0,X1,X2]: (~ssItem(X0)|~ssItem(X1)|~ssList(X2)|~app(app(cons(X0,nil),cons(X1,nil)),X2)=sk2|~app(app(cons(X1,nil),cons(X0,nil)),X2)=sk1|app(app(cons(sk11,nil),cons(sk12,nil)),sk13)=sk2)),
% 0.10/1.00 inference(cnf_transformation,[status(thm)],[f486])).
% 0.10/1.00 fof(f492,plain,(
% 0.10/1.00 ![X0,X1,X2]: (ssItem(sk8)|~ssItem(X0)|~ssItem(X1)|~ssList(X2)|~app(app(cons(X0,nil),cons(X1,nil)),X2)=sk4)),
% 0.10/1.00 inference(cnf_transformation,[status(thm)],[f201])).
% 0.10/1.00 fof(f493,plain,(
% 0.10/1.00 ![X0,X1,X2]: (ssItem(sk9)|~ssItem(X0)|~ssItem(X1)|~ssList(X2)|~app(app(cons(X0,nil),cons(X1,nil)),X2)=sk4)),
% 0.10/1.00 inference(cnf_transformation,[status(thm)],[f202])).
% 0.10/1.00 fof(f494,plain,(
% 0.10/1.00 ![X0,X1,X2]: (ssList(sk10)|~ssItem(X0)|~ssItem(X1)|~ssList(X2)|~app(app(cons(X0,nil),cons(X1,nil)),X2)=sk4)),
% 0.10/1.00 inference(cnf_transformation,[status(thm)],[f203])).
% 0.10/1.00 fof(f495,plain,(
% 0.10/1.00 ![X0,X1,X2]: (app(app(cons(sk8,nil),cons(sk9,nil)),sk10)=sk4|~ssItem(X0)|~ssItem(X1)|~ssList(X2)|~app(app(cons(X0,nil),cons(X1,nil)),X2)=sk4)),
% 0.10/1.00 inference(cnf_transformation,[status(thm)],[f204])).
% 0.10/1.00 fof(f496,plain,(
% 0.10/1.00 ![X0,X1,X2]: (app(app(cons(sk9,nil),cons(sk8,nil)),sk10)=sk3|~ssItem(X0)|~ssItem(X1)|~ssList(X2)|~app(app(cons(X0,nil),cons(X1,nil)),X2)=sk4)),
% 0.10/1.00 inference(cnf_transformation,[status(thm)],[f205])).
% 0.10/1.00 fof(f513,plain,(
% 0.10/1.00 ssItem(sk8)|ssItem(sk11)),
% 0.10/1.00 inference(cnf_transformation,[status(thm)],[f222])).
% 0.10/1.00 fof(f514,plain,(
% 0.10/1.00 ssItem(sk9)|ssItem(sk11)),
% 0.10/1.00 inference(cnf_transformation,[status(thm)],[f223])).
% 0.10/1.00 fof(f515,plain,(
% 0.10/1.00 ssList(sk10)|ssItem(sk11)),
% 0.10/1.00 inference(cnf_transformation,[status(thm)],[f224])).
% 0.10/1.00 fof(f516,plain,(
% 0.10/1.00 app(app(cons(sk8,nil),cons(sk9,nil)),sk10)=sk4|ssItem(sk11)),
% 0.10/1.00 inference(cnf_transformation,[status(thm)],[f225])).
% 0.10/1.00 fof(f517,plain,(
% 0.10/1.00 app(app(cons(sk9,nil),cons(sk8,nil)),sk10)=sk3|ssItem(sk11)),
% 0.10/1.00 inference(cnf_transformation,[status(thm)],[f226])).
% 0.10/1.00 fof(f518,plain,(
% 0.10/1.00 ssItem(sk8)|ssItem(sk12)),
% 0.10/1.00 inference(cnf_transformation,[status(thm)],[f227])).
% 0.10/1.00 fof(f519,plain,(
% 0.10/1.00 ssItem(sk8)|ssList(sk13)),
% 0.10/1.00 inference(cnf_transformation,[status(thm)],[f228])).
% 0.10/1.00 fof(f520,plain,(
% 0.10/1.00 ssItem(sk8)|app(app(cons(sk11,nil),cons(sk12,nil)),sk13)=sk2),
% 0.10/1.00 inference(cnf_transformation,[status(thm)],[f229])).
% 0.10/1.00 fof(f521,plain,(
% 0.10/1.00 ssItem(sk9)|ssItem(sk12)),
% 0.10/1.00 inference(cnf_transformation,[status(thm)],[f230])).
% 0.10/1.00 fof(f522,plain,(
% 0.10/1.00 ssList(sk10)|ssItem(sk12)),
% 0.10/1.00 inference(cnf_transformation,[status(thm)],[f231])).
% 0.10/1.00 fof(f523,plain,(
% 0.10/1.00 app(app(cons(sk8,nil),cons(sk9,nil)),sk10)=sk4|ssItem(sk12)),
% 0.10/1.00 inference(cnf_transformation,[status(thm)],[f232])).
% 0.10/1.00 fof(f524,plain,(
% 0.10/1.00 app(app(cons(sk9,nil),cons(sk8,nil)),sk10)=sk3|ssItem(sk12)),
% 0.10/1.00 inference(cnf_transformation,[status(thm)],[f233])).
% 0.10/1.00 fof(f525,plain,(
% 0.10/1.00 ssItem(sk9)|ssList(sk13)),
% 0.10/1.00 inference(cnf_transformation,[status(thm)],[f234])).
% 0.10/1.00 fof(f526,plain,(
% 0.10/1.00 ssItem(sk9)|app(app(cons(sk11,nil),cons(sk12,nil)),sk13)=sk2),
% 0.10/1.00 inference(cnf_transformation,[status(thm)],[f235])).
% 0.10/1.00 fof(f527,plain,(
% 0.10/1.00 ssList(sk10)|ssList(sk13)),
% 0.10/1.00 inference(cnf_transformation,[status(thm)],[f236])).
% 0.10/1.00 fof(f528,plain,(
% 0.10/1.00 app(app(cons(sk8,nil),cons(sk9,nil)),sk10)=sk4|ssList(sk13)),
% 0.10/1.00 inference(cnf_transformation,[status(thm)],[f237])).
% 0.10/1.00 fof(f529,plain,(
% 0.10/1.00 app(app(cons(sk9,nil),cons(sk8,nil)),sk10)=sk3|ssList(sk13)),
% 0.10/1.00 inference(cnf_transformation,[status(thm)],[f238])).
% 0.10/1.00 fof(f530,plain,(
% 0.10/1.00 ssList(sk10)|app(app(cons(sk11,nil),cons(sk12,nil)),sk13)=sk2),
% 0.10/1.00 inference(cnf_transformation,[status(thm)],[f239])).
% 0.10/1.00 fof(f531,plain,(
% 0.10/1.00 app(app(cons(sk8,nil),cons(sk9,nil)),sk10)=sk4|app(app(cons(sk11,nil),cons(sk12,nil)),sk13)=sk2),
% 0.10/1.00 inference(cnf_transformation,[status(thm)],[f240])).
% 0.10/1.00 fof(f532,plain,(
% 0.10/1.00 app(app(cons(sk9,nil),cons(sk8,nil)),sk10)=sk3|app(app(cons(sk11,nil),cons(sk12,nil)),sk13)=sk2),
% 0.10/1.01 inference(cnf_transformation,[status(thm)],[f241])).
% 0.10/1.01 fof(f540,definition,(
% 0.10/1.01 ![X0,X1,X2]: (sQ2_spl <=> (~ssItem(X0)|~ssItem(X1)|~ssList(X2)|~app(app(cons(X0,nil),cons(X1,nil)),X2)=sk2|~app(app(cons(X1,nil),cons(X0,nil)),X2)=sk1))),
% 0.10/1.01 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 0.10/1.01 fof(f541,plain,(
% 0.10/1.01 ![X0,X1,X2]: (~ssItem(X0)|~ssItem(X1)|~ssList(X2)|~app(app(cons(X0,nil),cons(X1,nil)),X2)=sk2|~app(app(cons(X1,nil),cons(X0,nil)),X2)=sk1|~sQ2_spl)),
% 0.10/1.01 inference(component_clause,[status(thm)],[f540])).
% 0.10/1.01 fof(f543,definition,(
% 0.10/1.01 ![X3,X4,X5]: (sQ3_spl <=> (~ssItem(X3)|~ssItem(X4)|~ssList(X5)|~app(app(cons(X3,nil),cons(X4,nil)),X5)=sk4))),
% 0.10/1.01 introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition])).
% 0.10/1.01 fof(f544,plain,(
% 0.10/1.01 ![X0,X1,X2]: (~ssItem(X0)|~ssItem(X1)|~ssList(X2)|~app(app(cons(X0,nil),cons(X1,nil)),X2)=sk4|~sQ3_spl)),
% 0.10/1.01 inference(component_clause,[status(thm)],[f543])).
% 0.10/1.01 fof(f546,plain,(
% 0.10/1.01 sQ2_spl|sQ3_spl),
% 0.10/1.01 inference(split_clause,[status(thm)],[f479,f540,f543])).
% 0.10/1.01 fof(f547,definition,(
% 0.10/1.01 sQ4_spl <=> (ssItem(sk11))),
% 0.10/1.01 introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition])).
% 0.10/1.01 fof(f550,plain,(
% 0.10/1.01 sQ2_spl|sQ4_spl),
% 0.10/1.01 inference(split_clause,[status(thm)],[f481,f540,f547])).
% 0.10/1.01 fof(f551,definition,(
% 0.10/1.01 sQ5_spl <=> (ssItem(sk12))),
% 0.10/1.01 introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition])).
% 0.10/1.01 fof(f554,plain,(
% 0.10/1.01 sQ2_spl|sQ5_spl),
% 0.10/1.01 inference(split_clause,[status(thm)],[f483,f540,f551])).
% 0.10/1.01 fof(f555,definition,(
% 0.10/1.01 sQ6_spl <=> (ssList(sk13))),
% 0.10/1.01 introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition])).
% 0.10/1.01 fof(f558,plain,(
% 0.10/1.01 sQ2_spl|sQ6_spl),
% 0.10/1.01 inference(split_clause,[status(thm)],[f485,f540,f555])).
% 0.10/1.01 fof(f559,definition,(
% 0.10/1.01 sQ7_spl <=> (app(app(cons(sk11,nil),cons(sk12,nil)),sk13)=sk2)),
% 0.10/1.01 introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition])).
% 0.10/1.01 fof(f560,plain,(
% 0.10/1.01 app(app(cons(sk11,nil),cons(sk12,nil)),sk13)=sk2|~sQ7_spl),
% 0.10/1.01 inference(component_clause,[status(thm)],[f559])).
% 0.10/1.01 fof(f562,plain,(
% 0.10/1.01 sQ2_spl|sQ7_spl),
% 0.10/1.01 inference(split_clause,[status(thm)],[f487,f540,f559])).
% 0.10/1.01 fof(f579,definition,(
% 0.10/1.01 sQ12_spl <=> (ssItem(sk8))),
% 0.10/1.01 introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition])).
% 0.10/1.01 fof(f582,plain,(
% 0.10/1.01 sQ12_spl|sQ3_spl),
% 0.10/1.01 inference(split_clause,[status(thm)],[f492,f579,f543])).
% 0.10/1.01 fof(f583,definition,(
% 0.10/1.01 sQ13_spl <=> (ssItem(sk9))),
% 0.10/1.01 introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition])).
% 0.10/1.01 fof(f586,plain,(
% 0.10/1.01 sQ13_spl|sQ3_spl),
% 0.10/1.01 inference(split_clause,[status(thm)],[f493,f583,f543])).
% 0.10/1.01 fof(f587,definition,(
% 0.10/1.01 sQ14_spl <=> (ssList(sk10))),
% 0.10/1.01 introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition])).
% 0.10/1.01 fof(f588,plain,(
% 0.10/1.01 ssList(sk10)|~sQ14_spl),
% 0.10/1.01 inference(component_clause,[status(thm)],[f587])).
% 0.10/1.01 fof(f590,plain,(
% 0.10/1.01 sQ14_spl|sQ3_spl),
% 0.10/1.01 inference(split_clause,[status(thm)],[f494,f587,f543])).
% 0.10/1.01 fof(f591,definition,(
% 0.10/1.01 sQ15_spl <=> (app(app(cons(sk8,nil),cons(sk9,nil)),sk10)=sk4)),
% 0.10/1.01 introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition])).
% 0.10/1.01 fof(f594,plain,(
% 0.10/1.01 sQ15_spl|sQ3_spl),
% 0.10/1.01 inference(split_clause,[status(thm)],[f495,f591,f543])).
% 0.10/1.01 fof(f595,definition,(
% 0.10/1.01 sQ16_spl <=> (app(app(cons(sk9,nil),cons(sk8,nil)),sk10)=sk3)),
% 0.10/1.01 introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition])).
% 0.10/1.01 fof(f596,plain,(
% 0.10/1.01 app(app(cons(sk9,nil),cons(sk8,nil)),sk10)=sk3|~sQ16_spl),
% 0.10/1.01 inference(component_clause,[status(thm)],[f595])).
% 0.10/1.01 fof(f598,plain,(
% 0.10/1.01 sQ16_spl|sQ3_spl),
% 0.10/1.01 inference(split_clause,[status(thm)],[f496,f595,f543])).
% 0.10/1.01 fof(f615,plain,(
% 0.10/1.01 sQ12_spl|sQ4_spl),
% 0.10/1.01 inference(split_clause,[status(thm)],[f513,f579,f547])).
% 0.10/1.01 fof(f616,plain,(
% 0.10/1.01 sQ13_spl|sQ4_spl),
% 0.10/1.01 inference(split_clause,[status(thm)],[f514,f583,f547])).
% 0.10/1.01 fof(f617,plain,(
% 0.10/1.01 sQ14_spl|sQ4_spl),
% 0.10/1.01 inference(split_clause,[status(thm)],[f515,f587,f547])).
% 0.10/1.01 fof(f618,plain,(
% 0.10/1.01 sQ15_spl|sQ4_spl),
% 0.10/1.01 inference(split_clause,[status(thm)],[f516,f591,f547])).
% 0.10/1.01 fof(f619,plain,(
% 0.10/1.01 sQ16_spl|sQ4_spl),
% 0.10/1.01 inference(split_clause,[status(thm)],[f517,f595,f547])).
% 0.10/1.01 fof(f620,plain,(
% 0.10/1.01 sQ12_spl|sQ5_spl),
% 0.10/1.01 inference(split_clause,[status(thm)],[f518,f579,f551])).
% 0.10/1.01 fof(f621,plain,(
% 0.10/1.01 sQ12_spl|sQ6_spl),
% 0.10/1.01 inference(split_clause,[status(thm)],[f519,f579,f555])).
% 0.10/1.01 fof(f622,plain,(
% 0.10/1.01 sQ12_spl|sQ7_spl),
% 0.10/1.01 inference(split_clause,[status(thm)],[f520,f579,f559])).
% 0.10/1.01 fof(f623,plain,(
% 0.10/1.01 sQ13_spl|sQ5_spl),
% 0.10/1.01 inference(split_clause,[status(thm)],[f521,f583,f551])).
% 0.10/1.01 fof(f624,plain,(
% 0.10/1.01 sQ14_spl|sQ5_spl),
% 0.10/1.01 inference(split_clause,[status(thm)],[f522,f587,f551])).
% 0.10/1.01 fof(f625,plain,(
% 0.10/1.01 sQ15_spl|sQ5_spl),
% 0.10/1.01 inference(split_clause,[status(thm)],[f523,f591,f551])).
% 0.10/1.01 fof(f626,plain,(
% 0.10/1.01 sQ16_spl|sQ5_spl),
% 0.10/1.01 inference(split_clause,[status(thm)],[f524,f595,f551])).
% 0.10/1.01 fof(f627,plain,(
% 0.10/1.01 sQ13_spl|sQ6_spl),
% 0.10/1.01 inference(split_clause,[status(thm)],[f525,f583,f555])).
% 0.10/1.01 fof(f628,plain,(
% 0.10/1.01 sQ13_spl|sQ7_spl),
% 0.10/1.01 inference(split_clause,[status(thm)],[f526,f583,f559])).
% 0.10/1.01 fof(f629,plain,(
% 0.10/1.01 sQ14_spl|sQ6_spl),
% 0.10/1.01 inference(split_clause,[status(thm)],[f527,f587,f555])).
% 0.10/1.01 fof(f630,plain,(
% 0.10/1.01 sQ15_spl|sQ6_spl),
% 0.10/1.01 inference(split_clause,[status(thm)],[f528,f591,f555])).
% 0.10/1.01 fof(f631,plain,(
% 0.10/1.01 sQ16_spl|sQ6_spl),
% 0.10/1.01 inference(split_clause,[status(thm)],[f529,f595,f555])).
% 0.10/1.01 fof(f632,plain,(
% 0.10/1.01 sQ14_spl|sQ7_spl),
% 0.10/1.01 inference(split_clause,[status(thm)],[f530,f587,f559])).
% 0.10/1.01 fof(f633,plain,(
% 0.10/1.01 sQ15_spl|sQ7_spl),
% 0.10/1.01 inference(split_clause,[status(thm)],[f531,f591,f559])).
% 0.10/1.01 fof(f634,plain,(
% 0.10/1.01 sQ16_spl|sQ7_spl),
% 0.10/1.01 inference(split_clause,[status(thm)],[f532,f595,f559])).
% 0.10/1.01 fof(f667,plain,(
% 0.10/1.01 app(nil,nil)=nil),
% 0.10/1.01 inference(resolution,[status(thm)],[f315,f249])).
% 0.10/1.01 fof(f668,plain,(
% 0.10/1.01 app(sk4,nil)=sk4),
% 0.10/1.01 inference(resolution,[status(thm)],[f315,f475])).
% 0.10/1.01 fof(f669,plain,(
% 0.10/1.01 app(sk3,nil)=sk3),
% 0.10/1.01 inference(resolution,[status(thm)],[f315,f474])).
% 0.10/1.01 fof(f672,plain,(
% 0.10/1.01 app(nil,sk4)=sk4),
% 0.10/1.01 inference(resolution,[status(thm)],[f316,f475])).
% 0.10/1.01 fof(f673,plain,(
% 0.10/1.01 app(nil,sk3)=sk3),
% 0.10/1.01 inference(resolution,[status(thm)],[f316,f474])).
% 0.10/1.01 fof(f710,plain,(
% 0.10/1.01 app(app(cons(sk11,nil),cons(sk12,nil)),sk13)=sk4|~sQ7_spl),
% 0.10/1.01 inference(forward_demodulation,[status(thm)],[f476,f560])).
% 0.10/1.01 fof(f856,plain,(
% 0.10/1.01 ~ssItem(sk11)|~ssItem(sk12)|~ssList(sk13)|~sQ3_spl|~sQ7_spl),
% 0.10/1.01 inference(resolution,[status(thm)],[f544,f710])).
% 0.10/1.01 fof(f858,plain,(
% 0.10/1.01 ~sQ4_spl|~sQ5_spl|~sQ6_spl|~sQ3_spl|~sQ7_spl),
% 0.10/1.01 inference(split_clause,[status(thm)],[f856,f547,f551,f555,f543,f559])).
% 0.10/1.01 fof(f863,plain,(
% 0.10/1.01 ![X0,X1,X2]: (~ssItem(X0)|~ssItem(X1)|~ssList(X2)|~app(app(cons(X0,nil),cons(X1,nil)),X2)=sk4|~app(app(cons(X1,nil),cons(X0,nil)),X2)=sk1|~sQ2_spl)),
% 0.10/1.01 inference(forward_demodulation,[status(thm)],[f476,f541])).
% 0.10/1.01 fof(f864,plain,(
% 0.10/1.01 ![X0,X1,X2]: (~ssItem(X0)|~ssItem(X1)|~ssList(X2)|~app(app(cons(X0,nil),cons(X1,nil)),X2)=sk4|~app(app(cons(X1,nil),cons(X0,nil)),X2)=sk3|~sQ2_spl)),
% 0.10/1.01 inference(forward_demodulation,[status(thm)],[f477,f863])).
% 0.10/1.01 fof(f878,plain,(
% 0.10/1.01 app(nil,sk10)=sk10|~sQ14_spl),
% 0.10/1.01 inference(resolution,[status(thm)],[f588,f316])).
% 0.10/1.01 fof(f879,plain,(
% 0.10/1.01 app(sk10,nil)=sk10|~sQ14_spl),
% 0.10/1.01 inference(resolution,[status(thm)],[f588,f315])).
% 0.10/1.01 fof(f890,plain,(
% 0.10/1.01 ~ssList(nil)|~ssList(nil)|nil=nil),
% 0.10/1.01 inference(resolution,[status(thm)],[f369,f667])).
% 0.10/1.01 fof(f900,definition,(
% 0.10/1.01 sQ18_spl <=> (ssList(nil))),
% 0.10/1.01 introduced(definition,[new_symbols(definition,[sQ18_spl])],[split_symbol_definition])).
% 0.10/1.01 fof(f902,plain,(
% 0.10/1.01 ~ssList(nil)|sQ18_spl),
% 0.10/1.01 inference(component_clause,[status(thm)],[f900])).
% 0.10/1.01 fof(f903,definition,(
% 0.10/1.01 sQ19_spl <=> (nil=nil)),
% 0.10/1.01 introduced(definition,[new_symbols(definition,[sQ19_spl])],[split_symbol_definition])).
% 0.10/1.01 fof(f906,plain,(
% 0.10/1.01 ~sQ18_spl|sQ19_spl),
% 0.10/1.01 inference(split_clause,[status(thm)],[f890,f900,f903])).
% 0.10/1.01 fof(f920,definition,(
% 0.10/1.01 sQ24_spl <=> (ssList(sk3))),
% 0.10/1.01 introduced(definition,[new_symbols(definition,[sQ24_spl])],[split_symbol_definition])).
% 0.10/1.01 fof(f922,plain,(
% 0.10/1.01 ~ssList(sk3)|sQ24_spl),
% 0.10/1.01 inference(component_clause,[status(thm)],[f920])).
% 0.10/1.01 fof(f924,definition,(
% 0.10/1.01 sQ25_spl <=> (ssList(sk4))),
% 0.10/1.01 introduced(definition,[new_symbols(definition,[sQ25_spl])],[split_symbol_definition])).
% 0.10/1.01 fof(f926,plain,(
% 0.10/1.01 ~ssList(sk4)|sQ25_spl),
% 0.10/1.01 inference(component_clause,[status(thm)],[f924])).
% 0.10/1.01 fof(f940,plain,(
% 0.10/1.01 $false|sQ18_spl),
% 0.10/1.01 inference(forward_subsumption_resolution,[status(thm)],[f902,f249])).
% 0.10/1.01 fof(f941,plain,(
% 0.10/1.01 sQ18_spl),
% 0.10/1.01 inference(contradiction_clause,[status(thm)],[f940])).
% 0.10/1.01 fof(f1558,plain,(
% 0.10/1.01 ![X0]: (~sk10=app(sk10,X0)|~ssList(nil)|~ssList(sk10)|~ssList(X0)|nil=X0|~sQ14_spl)),
% 0.10/1.01 inference(paramodulation,[status(thm)],[f879,f412])).
% 0.10/1.01 fof(f1562,plain,(
% 0.10/1.01 ![X0]: (~sk3=app(sk3,X0)|~ssList(nil)|~ssList(sk3)|~ssList(X0)|nil=X0)),
% 0.10/1.01 inference(paramodulation,[status(thm)],[f669,f412])).
% 0.10/1.01 fof(f1563,plain,(
% 0.10/1.01 ![X0]: (~sk4=app(sk4,X0)|~ssList(nil)|~ssList(sk4)|~ssList(X0)|nil=X0)),
% 0.10/1.01 inference(paramodulation,[status(thm)],[f668,f412])).
% 0.10/1.01 fof(f1564,plain,(
% 0.10/1.01 ![X0]: (~sk10=app(nil,X0)|~ssList(sk10)|~ssList(nil)|~ssList(X0)|sk10=X0|~sQ14_spl)),
% 0.10/1.01 inference(paramodulation,[status(thm)],[f878,f412])).
% 0.10/1.01 fof(f1566,plain,(
% 0.10/1.01 ![X0]: (~sk3=app(nil,X0)|~ssList(sk3)|~ssList(nil)|~ssList(X0)|sk3=X0)),
% 0.10/1.01 inference(paramodulation,[status(thm)],[f673,f412])).
% 0.10/1.01 fof(f1567,plain,(
% 0.10/1.01 ![X0]: (~sk4=app(nil,X0)|~ssList(sk4)|~ssList(nil)|~ssList(X0)|sk4=X0)),
% 0.10/1.01 inference(paramodulation,[status(thm)],[f672,f412])).
% 0.10/1.01 fof(f1569,plain,(
% 0.10/1.01 ![X0]: (~nil=app(nil,X0)|~ssList(nil)|~ssList(nil)|~ssList(X0)|nil=X0)),
% 0.10/1.01 inference(paramodulation,[status(thm)],[f667,f412])).
% 0.10/1.01 fof(f1585,definition,(
% 0.10/1.01 ![X0]: (sQ34_spl <=> (~sk10=app(sk10,X0)|~ssList(X0)|nil=X0))),
% 0.10/1.01 introduced(definition,[new_symbols(definition,[sQ34_spl])],[split_symbol_definition])).
% 0.10/1.01 fof(f1588,plain,(
% 0.10/1.01 sQ34_spl|~sQ18_spl|~sQ14_spl),
% 0.10/1.01 inference(split_clause,[status(thm)],[f1558,f1585,f900,f587])).
% 0.10/1.01 fof(f1601,definition,(
% 0.10/1.01 ![X0]: (sQ38_spl <=> (~sk3=app(sk3,X0)|~ssList(X0)|nil=X0))),
% 0.10/1.01 introduced(definition,[new_symbols(definition,[sQ38_spl])],[split_symbol_definition])).
% 0.10/1.01 fof(f1604,plain,(
% 0.10/1.01 sQ38_spl|~sQ18_spl|~sQ24_spl),
% 0.10/1.01 inference(split_clause,[status(thm)],[f1562,f1601,f900,f920])).
% 0.10/1.01 fof(f1605,definition,(
% 0.10/1.01 ![X0]: (sQ39_spl <=> (~sk4=app(sk4,X0)|~ssList(X0)|nil=X0))),
% 0.10/1.01 introduced(definition,[new_symbols(definition,[sQ39_spl])],[split_symbol_definition])).
% 0.10/1.01 fof(f1608,plain,(
% 0.10/1.01 sQ39_spl|~sQ18_spl|~sQ25_spl),
% 0.10/1.01 inference(split_clause,[status(thm)],[f1563,f1605,f900,f924])).
% 0.10/1.01 fof(f1609,definition,(
% 0.10/1.01 ![X0]: (sQ40_spl <=> (~sk10=app(nil,X0)|~ssList(X0)|sk10=X0))),
% 0.10/1.01 introduced(definition,[new_symbols(definition,[sQ40_spl])],[split_symbol_definition])).
% 0.10/1.01 fof(f1612,plain,(
% 0.10/1.01 sQ40_spl|~sQ14_spl|~sQ18_spl),
% 0.10/1.01 inference(split_clause,[status(thm)],[f1564,f1609,f587,f900])).
% 0.10/1.01 fof(f1617,definition,(
% 0.10/1.01 ![X0]: (sQ42_spl <=> (~sk3=app(nil,X0)|~ssList(X0)|sk3=X0))),
% 0.10/1.01 introduced(definition,[new_symbols(definition,[sQ42_spl])],[split_symbol_definition])).
% 0.10/1.01 fof(f1620,plain,(
% 0.10/1.01 sQ42_spl|~sQ24_spl|~sQ18_spl),
% 0.10/1.01 inference(split_clause,[status(thm)],[f1566,f1617,f920,f900])).
% 0.10/1.01 fof(f1621,definition,(
% 0.10/1.01 ![X0]: (sQ43_spl <=> (~sk4=app(nil,X0)|~ssList(X0)|sk4=X0))),
% 0.10/1.01 introduced(definition,[new_symbols(definition,[sQ43_spl])],[split_symbol_definition])).
% 0.10/1.01 fof(f1624,plain,(
% 0.10/1.01 sQ43_spl|~sQ25_spl|~sQ18_spl),
% 0.10/1.01 inference(split_clause,[status(thm)],[f1567,f1621,f924,f900])).
% 0.10/1.01 fof(f1629,definition,(
% 0.10/1.01 ![X0]: (sQ45_spl <=> (~nil=app(nil,X0)|~ssList(X0)|nil=X0))),
% 0.10/1.01 introduced(definition,[new_symbols(definition,[sQ45_spl])],[split_symbol_definition])).
% 0.10/1.01 fof(f1632,plain,(
% 0.10/1.01 sQ45_spl|~sQ18_spl),
% 0.10/1.01 inference(split_clause,[status(thm)],[f1569,f1629,f900])).
% 0.10/1.01 fof(f1657,plain,(
% 0.10/1.01 $false|sQ24_spl),
% 0.10/1.01 inference(forward_subsumption_resolution,[status(thm)],[f922,f474])).
% 0.10/1.01 fof(f1658,plain,(
% 0.10/1.01 sQ24_spl),
% 0.10/1.01 inference(contradiction_clause,[status(thm)],[f1657])).
% 0.10/1.01 fof(f1659,plain,(
% 0.10/1.01 $false|sQ25_spl),
% 0.10/1.01 inference(forward_subsumption_resolution,[status(thm)],[f926,f475])).
% 0.10/1.01 fof(f1660,plain,(
% 0.10/1.01 sQ25_spl),
% 0.10/1.01 inference(contradiction_clause,[status(thm)],[f1659])).
% 0.10/1.01 fof(f1815,plain,(
% 0.10/1.01 ![X0]: (~sk10=app(X0,nil)|~ssList(sk10)|~ssList(nil)|~ssList(X0)|sk10=X0|~sQ14_spl)),
% 0.10/1.01 inference(paramodulation,[status(thm)],[f879,f414])).
% 0.10/1.01 fof(f1819,plain,(
% 0.10/1.01 ![X0]: (~sk3=app(X0,nil)|~ssList(sk3)|~ssList(nil)|~ssList(X0)|sk3=X0)),
% 0.10/1.01 inference(paramodulation,[status(thm)],[f669,f414])).
% 0.10/1.01 fof(f1820,plain,(
% 0.10/1.01 ![X0]: (~sk4=app(X0,nil)|~ssList(sk4)|~ssList(nil)|~ssList(X0)|sk4=X0)),
% 0.10/1.01 inference(paramodulation,[status(thm)],[f668,f414])).
% 0.10/1.01 fof(f1821,plain,(
% 0.10/1.01 ![X0]: (~sk10=app(X0,sk10)|~ssList(nil)|~ssList(sk10)|~ssList(X0)|nil=X0|~sQ14_spl)),
% 0.10/1.01 inference(paramodulation,[status(thm)],[f878,f414])).
% 0.10/1.01 fof(f1823,plain,(
% 0.10/1.01 ![X0]: (~sk3=app(X0,sk3)|~ssList(nil)|~ssList(sk3)|~ssList(X0)|nil=X0)),
% 0.10/1.01 inference(paramodulation,[status(thm)],[f673,f414])).
% 0.10/1.01 fof(f1824,plain,(
% 0.10/1.01 ![X0]: (~sk4=app(X0,sk4)|~ssList(nil)|~ssList(sk4)|~ssList(X0)|nil=X0)),
% 0.10/1.01 inference(paramodulation,[status(thm)],[f672,f414])).
% 0.10/1.01 fof(f1825,plain,(
% 0.10/1.01 ![X0]: (~nil=app(X0,nil)|~ssList(nil)|~ssList(nil)|~ssList(X0)|nil=X0)),
% 0.10/1.01 inference(paramodulation,[status(thm)],[f667,f414])).
% 0.10/1.01 fof(f1838,definition,(
% 0.10/1.01 ![X0]: (sQ53_spl <=> (~sk10=app(X0,nil)|~ssList(X0)|sk10=X0))),
% 0.10/1.01 introduced(definition,[new_symbols(definition,[sQ53_spl])],[split_symbol_definition])).
% 0.10/1.01 fof(f1841,plain,(
% 0.10/1.01 sQ53_spl|~sQ14_spl|~sQ18_spl),
% 0.10/1.01 inference(split_clause,[status(thm)],[f1815,f1838,f587,f900])).
% 0.10/1.01 fof(f1854,definition,(
% 0.10/1.01 ![X0]: (sQ57_spl <=> (~sk3=app(X0,nil)|~ssList(X0)|sk3=X0))),
% 0.10/1.01 introduced(definition,[new_symbols(definition,[sQ57_spl])],[split_symbol_definition])).
% 0.10/1.01 fof(f1857,plain,(
% 0.10/1.01 sQ57_spl|~sQ24_spl|~sQ18_spl),
% 0.10/1.01 inference(split_clause,[status(thm)],[f1819,f1854,f920,f900])).
% 0.10/1.01 fof(f1858,definition,(
% 0.10/1.01 ![X0]: (sQ58_spl <=> (~sk4=app(X0,nil)|~ssList(X0)|sk4=X0))),
% 0.10/1.01 introduced(definition,[new_symbols(definition,[sQ58_spl])],[split_symbol_definition])).
% 0.10/1.01 fof(f1861,plain,(
% 0.10/1.01 sQ58_spl|~sQ25_spl|~sQ18_spl),
% 0.10/1.01 inference(split_clause,[status(thm)],[f1820,f1858,f924,f900])).
% 0.10/1.01 fof(f1862,definition,(
% 0.10/1.01 ![X0]: (sQ59_spl <=> (~sk10=app(X0,sk10)|~ssList(X0)|nil=X0))),
% 0.10/1.01 introduced(definition,[new_symbols(definition,[sQ59_spl])],[split_symbol_definition])).
% 0.10/1.01 fof(f1865,plain,(
% 0.10/1.01 sQ59_spl|~sQ18_spl|~sQ14_spl),
% 0.10/1.01 inference(split_clause,[status(thm)],[f1821,f1862,f900,f587])).
% 0.10/1.01 fof(f1870,definition,(
% 0.10/1.01 ![X0]: (sQ61_spl <=> (~sk3=app(X0,sk3)|~ssList(X0)|nil=X0))),
% 0.10/1.01 introduced(definition,[new_symbols(definition,[sQ61_spl])],[split_symbol_definition])).
% 0.10/1.01 fof(f1873,plain,(
% 0.10/1.02 sQ61_spl|~sQ18_spl|~sQ24_spl),
% 0.10/1.02 inference(split_clause,[status(thm)],[f1823,f1870,f900,f920])).
% 0.10/1.02 fof(f1874,definition,(
% 0.10/1.02 ![X0]: (sQ62_spl <=> (~sk4=app(X0,sk4)|~ssList(X0)|nil=X0))),
% 0.10/1.02 introduced(definition,[new_symbols(definition,[sQ62_spl])],[split_symbol_definition])).
% 0.10/1.02 fof(f1877,plain,(
% 0.10/1.02 sQ62_spl|~sQ18_spl|~sQ25_spl),
% 0.10/1.02 inference(split_clause,[status(thm)],[f1824,f1874,f900,f924])).
% 0.10/1.02 fof(f1878,definition,(
% 0.10/1.02 ![X0]: (sQ63_spl <=> (~nil=app(X0,nil)|~ssList(X0)|nil=X0))),
% 0.10/1.02 introduced(definition,[new_symbols(definition,[sQ63_spl])],[split_symbol_definition])).
% 0.10/1.02 fof(f1881,plain,(
% 0.10/1.02 sQ63_spl|~sQ18_spl),
% 0.10/1.02 inference(split_clause,[status(thm)],[f1825,f1878,f900])).
% 0.10/1.02 fof(f2113,plain,(
% 0.10/1.02 ~ssItem(sk8)|~ssItem(sk9)|~ssList(sk10)|~app(app(cons(sk8,nil),cons(sk9,nil)),sk10)=sk4|~sQ16_spl|~sQ2_spl),
% 0.10/1.02 inference(resolution,[status(thm)],[f596,f864])).
% 0.10/1.02 fof(f2121,plain,(
% 0.10/1.02 ~sQ12_spl|~sQ13_spl|~sQ14_spl|~sQ15_spl|~sQ16_spl|~sQ2_spl),
% 0.10/1.02 inference(split_clause,[status(thm)],[f2113,f579,f583,f587,f591,f595,f540])).
% 0.10/1.02 fof(f2144,plain,(
% 0.10/1.02 $false),
% 0.10/1.02 inference(sat_refutation,[status(thm)],[f546,f550,f554,f558,f562,f582,f586,f590,f594,f598,f615,f616,f617,f618,f619,f620,f621,f622,f623,f624,f625,f626,f627,f628,f629,f630,f631,f632,f633,f634,f858,f906,f941,f1588,f1604,f1608,f1612,f1620,f1624,f1632,f1658,f1660,f1841,f1857,f1861,f1865,f1873,f1877,f1881,f2121])).
% 0.10/1.02 % SZS output end CNFRefutation for theBenchmark.p
% 0.10/1.03 % Elapsed time: 0.071713 seconds
% 0.10/1.03 % CPU time: 0.276256 seconds
% 0.10/1.03 % Total memory used: 113.424 MB
% 0.10/1.03 % Net memory used: 113.119 MB
%------------------------------------------------------------------------------