TSTP Solution File: SWC412-1 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : SWC412-1 : TPTP v8.1.2. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n018.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Apr 30 20:45:41 EDT 2024
% Result : Unsatisfiable 0.15s 0.37s
% Output : CNFRefutation 0.15s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : SWC412-1 : TPTP v8.1.2. Released v2.4.0.
% 0.03/0.14 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.15/0.35 % Computer : n018.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Tue Apr 30 00:22:58 EDT 2024
% 0.15/0.35 % CPUTime :
% 0.15/0.37 % Drodi V3.6.0
% 0.15/0.37 % Refutation found
% 0.15/0.37 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.15/0.37 % SZS output start CNFRefutation for theBenchmark
% 0.15/0.37 fof(f8,axiom,(
% 0.15/0.37 ssList(nil) ),
% 0.15/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.37 fof(f74,axiom,(
% 0.15/0.37 (![U]: (( ~ ssList(U)| app(nil,U) = U ) ))),
% 0.15/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.37 fof(f86,axiom,(
% 0.15/0.37 (![U,V]: (( ~ ssItem(U)| ~ ssList(V)| ssList(cons(U,V)) ) ))),
% 0.15/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.37 fof(f118,axiom,(
% 0.15/0.37 (![U,V]: (( app(U,V) != nil| ~ ssList(V)| ~ ssList(U)| nil = U ) ))),
% 0.15/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.37 fof(f190,negated_conjecture,(
% 0.15/0.37 sk2 = sk4 ),
% 0.15/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.37 fof(f191,negated_conjecture,(
% 0.15/0.37 sk1 = sk3 ),
% 0.15/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.37 fof(f192,negated_conjecture,(
% 0.15/0.37 (![A,B,C,D,E,F]: (( ~ ssItem(A)| ~ ssItem(B)| ~ ssList(C)| app(app(cons(A,nil),cons(B,nil)),C) != sk4| ~ ssItem(D)| ~ ssItem(E)| ~ ssList(F)| app(app(cons(E,nil),F),cons(D,nil)) = sk3| app(app(cons(D,nil),F),cons(E,nil)) != sk4 ) ))),
% 0.15/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.37 fof(f197,negated_conjecture,(
% 0.15/0.37 (![A,B,C]: (( ~ ssItem(A)| ~ ssItem(B)| ~ ssList(C)| app(app(cons(A,nil),cons(B,nil)),C) != sk4| ssItem(sk11) ) ))),
% 0.15/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.37 fof(f198,negated_conjecture,(
% 0.15/0.37 (![A,B,C]: (( ~ ssItem(A)| ~ ssItem(B)| ~ ssList(C)| app(app(cons(A,nil),cons(B,nil)),C) != sk4| ssItem(sk12) ) ))),
% 0.15/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.37 fof(f199,negated_conjecture,(
% 0.15/0.37 (![A,B,C]: (( ~ ssItem(A)| ~ ssItem(B)| ~ ssList(C)| app(app(cons(A,nil),cons(B,nil)),C) != sk4| ssList(sk13) ) ))),
% 0.15/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.37 fof(f200,negated_conjecture,(
% 0.15/0.37 (![A,B,C]: (( ~ ssItem(A)| ~ ssItem(B)| ~ ssList(C)| app(app(cons(A,nil),cons(B,nil)),C) != sk4| app(app(cons(sk11,nil),sk13),cons(sk12,nil)) = sk2 ) ))),
% 0.15/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.37 fof(f201,negated_conjecture,(
% 0.15/0.37 (![A,B,C]: (( ~ ssItem(A)| ~ ssItem(B)| ~ ssList(C)| app(app(cons(A,nil),cons(B,nil)),C) != sk4| app(app(cons(sk12,nil),sk13),cons(sk11,nil)) != sk1 ) ))),
% 0.15/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.37 fof(f202,negated_conjecture,(
% 0.15/0.37 (![A,B,C]: (( ssItem(sk5)| ~ ssItem(A)| ~ ssItem(B)| ~ ssList(C)| app(app(cons(B,nil),C),cons(A,nil)) = sk3| app(app(cons(A,nil),C),cons(B,nil)) != sk4 ) ))),
% 0.15/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.37 fof(f206,negated_conjecture,(
% 0.15/0.37 ( ssItem(sk5)| ssItem(sk8) ) ),
% 0.15/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.37 fof(f207,negated_conjecture,(
% 0.15/0.37 ( ssItem(sk5)| ssItem(sk9) ) ),
% 0.15/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.37 fof(f208,negated_conjecture,(
% 0.15/0.37 ( ssItem(sk5)| ssList(sk10) ) ),
% 0.15/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.37 fof(f209,negated_conjecture,(
% 0.15/0.37 ( ssItem(sk5)| app(app(cons(sk8,nil),cons(sk9,nil)),sk10) = sk2 ) ),
% 0.15/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.37 fof(f214,negated_conjecture,(
% 0.15/0.37 ( ssItem(sk5)| app(app(cons(sk12,nil),sk13),cons(sk11,nil)) != sk1 ) ),
% 0.15/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.37 fof(f215,negated_conjecture,(
% 0.15/0.37 ( ssItem(sk6)| ssItem(sk8) ) ),
% 0.15/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.37 fof(f216,negated_conjecture,(
% 0.15/0.37 ( ssItem(sk6)| ssItem(sk9) ) ),
% 0.15/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.37 fof(f217,negated_conjecture,(
% 0.15/0.37 ( ssItem(sk6)| ssList(sk10) ) ),
% 0.15/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.37 fof(f218,negated_conjecture,(
% 0.15/0.37 ( ssItem(sk6)| app(app(cons(sk8,nil),cons(sk9,nil)),sk10) = sk2 ) ),
% 0.15/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.37 fof(f219,negated_conjecture,(
% 0.15/0.37 ( ssList(sk7)| ssItem(sk8) ) ),
% 0.15/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.37 fof(f220,negated_conjecture,(
% 0.15/0.37 ( app(app(cons(sk5,nil),cons(sk6,nil)),sk7) = sk2| ssItem(sk8) ) ),
% 0.15/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.37 fof(f221,negated_conjecture,(
% 0.15/0.37 ( ssList(sk7)| ssItem(sk9) ) ),
% 0.15/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.37 fof(f222,negated_conjecture,(
% 0.15/0.37 ( ssList(sk7)| ssList(sk10) ) ),
% 0.15/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.37 fof(f223,negated_conjecture,(
% 0.15/0.37 ( ssList(sk7)| app(app(cons(sk8,nil),cons(sk9,nil)),sk10) = sk2 ) ),
% 0.15/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.37 fof(f224,negated_conjecture,(
% 0.15/0.37 ( app(app(cons(sk5,nil),cons(sk6,nil)),sk7) = sk2| ssItem(sk9) ) ),
% 0.15/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.37 fof(f225,negated_conjecture,(
% 0.15/0.37 ( app(app(cons(sk5,nil),cons(sk6,nil)),sk7) = sk2| ssList(sk10) ) ),
% 0.15/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.37 fof(f226,negated_conjecture,(
% 0.15/0.37 ( app(app(cons(sk5,nil),cons(sk6,nil)),sk7) = sk2| app(app(cons(sk8,nil),cons(sk9,nil)),sk10) = sk2 ) ),
% 0.15/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.37 fof(f249,plain,(
% 0.15/0.37 ssList(nil)),
% 0.15/0.37 inference(cnf_transformation,[status(esa)],[f8])).
% 0.15/0.37 fof(f316,plain,(
% 0.15/0.37 ![X0]: (~ssList(X0)|app(nil,X0)=X0)),
% 0.15/0.37 inference(cnf_transformation,[status(esa)],[f74])).
% 0.15/0.37 fof(f328,plain,(
% 0.15/0.37 ![X0,X1]: (~ssItem(X0)|~ssList(X1)|ssList(cons(X0,X1)))),
% 0.15/0.37 inference(cnf_transformation,[status(esa)],[f86])).
% 0.15/0.37 fof(f368,plain,(
% 0.15/0.37 ![U]: (((![V]: (~app(U,V)=nil|~ssList(V)))|~ssList(U))|nil=U)),
% 0.15/0.37 inference(miniscoping,[status(esa)],[f118])).
% 0.15/0.37 fof(f369,plain,(
% 0.15/0.37 ![X0,X1]: (~app(X0,X1)=nil|~ssList(X1)|~ssList(X0)|nil=X0)),
% 0.15/0.37 inference(cnf_transformation,[status(esa)],[f368])).
% 0.15/0.37 fof(f476,plain,(
% 0.15/0.37 sk2=sk4),
% 0.15/0.37 inference(cnf_transformation,[status(esa)],[f190])).
% 0.15/0.37 fof(f477,plain,(
% 0.15/0.37 sk1=sk3),
% 0.15/0.37 inference(cnf_transformation,[status(esa)],[f191])).
% 0.15/0.37 fof(f478,plain,(
% 0.15/0.37 ![D,E,F]: ((((((![A,B,C]: (((~ssItem(A)|~ssItem(B))|~ssList(C))|~app(app(cons(A,nil),cons(B,nil)),C)=sk4))|~ssItem(D))|~ssItem(E))|~ssList(F))|app(app(cons(E,nil),F),cons(D,nil))=sk3)|~app(app(cons(D,nil),F),cons(E,nil))=sk4)),
% 0.15/0.37 inference(miniscoping,[status(esa)],[f192])).
% 0.15/0.37 fof(f479,plain,(
% 0.15/0.37 ![X0,X1,X2,X3,X4,X5]: (~ssItem(X0)|~ssItem(X1)|~ssList(X2)|~app(app(cons(X0,nil),cons(X1,nil)),X2)=sk4|~ssItem(X3)|~ssItem(X4)|~ssList(X5)|app(app(cons(X4,nil),X5),cons(X3,nil))=sk3|~app(app(cons(X3,nil),X5),cons(X4,nil))=sk4)),
% 0.15/0.37 inference(cnf_transformation,[status(esa)],[f478])).
% 0.15/0.37 fof(f488,plain,(
% 0.15/0.37 (![A,B,C]: (((~ssItem(A)|~ssItem(B))|~ssList(C))|~app(app(cons(A,nil),cons(B,nil)),C)=sk4))|ssItem(sk11)),
% 0.15/0.37 inference(miniscoping,[status(esa)],[f197])).
% 0.15/0.37 fof(f489,plain,(
% 0.15/0.37 ![X0,X1,X2]: (~ssItem(X0)|~ssItem(X1)|~ssList(X2)|~app(app(cons(X0,nil),cons(X1,nil)),X2)=sk4|ssItem(sk11))),
% 0.15/0.37 inference(cnf_transformation,[status(esa)],[f488])).
% 0.15/0.37 fof(f490,plain,(
% 0.15/0.37 (![A,B,C]: (((~ssItem(A)|~ssItem(B))|~ssList(C))|~app(app(cons(A,nil),cons(B,nil)),C)=sk4))|ssItem(sk12)),
% 0.15/0.37 inference(miniscoping,[status(esa)],[f198])).
% 0.15/0.37 fof(f491,plain,(
% 0.15/0.37 ![X0,X1,X2]: (~ssItem(X0)|~ssItem(X1)|~ssList(X2)|~app(app(cons(X0,nil),cons(X1,nil)),X2)=sk4|ssItem(sk12))),
% 0.15/0.37 inference(cnf_transformation,[status(esa)],[f490])).
% 0.15/0.37 fof(f492,plain,(
% 0.15/0.37 (![A,B,C]: (((~ssItem(A)|~ssItem(B))|~ssList(C))|~app(app(cons(A,nil),cons(B,nil)),C)=sk4))|ssList(sk13)),
% 0.15/0.38 inference(miniscoping,[status(esa)],[f199])).
% 0.15/0.38 fof(f493,plain,(
% 0.15/0.38 ![X0,X1,X2]: (~ssItem(X0)|~ssItem(X1)|~ssList(X2)|~app(app(cons(X0,nil),cons(X1,nil)),X2)=sk4|ssList(sk13))),
% 0.15/0.38 inference(cnf_transformation,[status(esa)],[f492])).
% 0.15/0.38 fof(f494,plain,(
% 0.15/0.38 (![A,B,C]: (((~ssItem(A)|~ssItem(B))|~ssList(C))|~app(app(cons(A,nil),cons(B,nil)),C)=sk4))|app(app(cons(sk11,nil),sk13),cons(sk12,nil))=sk2),
% 0.15/0.38 inference(miniscoping,[status(esa)],[f200])).
% 0.15/0.38 fof(f495,plain,(
% 0.15/0.38 ![X0,X1,X2]: (~ssItem(X0)|~ssItem(X1)|~ssList(X2)|~app(app(cons(X0,nil),cons(X1,nil)),X2)=sk4|app(app(cons(sk11,nil),sk13),cons(sk12,nil))=sk2)),
% 0.15/0.38 inference(cnf_transformation,[status(esa)],[f494])).
% 0.15/0.38 fof(f496,plain,(
% 0.15/0.38 (![A,B,C]: (((~ssItem(A)|~ssItem(B))|~ssList(C))|~app(app(cons(A,nil),cons(B,nil)),C)=sk4))|~app(app(cons(sk12,nil),sk13),cons(sk11,nil))=sk1),
% 0.15/0.38 inference(miniscoping,[status(esa)],[f201])).
% 0.15/0.38 fof(f497,plain,(
% 0.15/0.38 ![X0,X1,X2]: (~ssItem(X0)|~ssItem(X1)|~ssList(X2)|~app(app(cons(X0,nil),cons(X1,nil)),X2)=sk4|~app(app(cons(sk12,nil),sk13),cons(sk11,nil))=sk1)),
% 0.15/0.38 inference(cnf_transformation,[status(esa)],[f496])).
% 0.15/0.38 fof(f498,plain,(
% 0.15/0.38 ![X0,X1,X2]: (ssItem(sk5)|~ssItem(X0)|~ssItem(X1)|~ssList(X2)|app(app(cons(X1,nil),X2),cons(X0,nil))=sk3|~app(app(cons(X0,nil),X2),cons(X1,nil))=sk4)),
% 0.15/0.38 inference(cnf_transformation,[status(esa)],[f202])).
% 0.15/0.38 fof(f502,plain,(
% 0.15/0.38 ssItem(sk5)|ssItem(sk8)),
% 0.15/0.38 inference(cnf_transformation,[status(esa)],[f206])).
% 0.15/0.38 fof(f503,plain,(
% 0.15/0.38 ssItem(sk5)|ssItem(sk9)),
% 0.15/0.38 inference(cnf_transformation,[status(esa)],[f207])).
% 0.15/0.38 fof(f504,plain,(
% 0.15/0.38 ssItem(sk5)|ssList(sk10)),
% 0.15/0.38 inference(cnf_transformation,[status(esa)],[f208])).
% 0.15/0.38 fof(f505,plain,(
% 0.15/0.38 ssItem(sk5)|app(app(cons(sk8,nil),cons(sk9,nil)),sk10)=sk2),
% 0.15/0.38 inference(cnf_transformation,[status(esa)],[f209])).
% 0.15/0.38 fof(f510,plain,(
% 0.15/0.38 ssItem(sk5)|~app(app(cons(sk12,nil),sk13),cons(sk11,nil))=sk1),
% 0.15/0.38 inference(cnf_transformation,[status(esa)],[f214])).
% 0.15/0.38 fof(f511,plain,(
% 0.15/0.38 ssItem(sk6)|ssItem(sk8)),
% 0.15/0.38 inference(cnf_transformation,[status(esa)],[f215])).
% 0.15/0.38 fof(f512,plain,(
% 0.15/0.38 ssItem(sk6)|ssItem(sk9)),
% 0.15/0.38 inference(cnf_transformation,[status(esa)],[f216])).
% 0.15/0.38 fof(f513,plain,(
% 0.15/0.38 ssItem(sk6)|ssList(sk10)),
% 0.15/0.38 inference(cnf_transformation,[status(esa)],[f217])).
% 0.15/0.38 fof(f514,plain,(
% 0.15/0.38 ssItem(sk6)|app(app(cons(sk8,nil),cons(sk9,nil)),sk10)=sk2),
% 0.15/0.38 inference(cnf_transformation,[status(esa)],[f218])).
% 0.15/0.38 fof(f515,plain,(
% 0.15/0.38 ssList(sk7)|ssItem(sk8)),
% 0.15/0.38 inference(cnf_transformation,[status(esa)],[f219])).
% 0.15/0.38 fof(f516,plain,(
% 0.15/0.38 app(app(cons(sk5,nil),cons(sk6,nil)),sk7)=sk2|ssItem(sk8)),
% 0.15/0.38 inference(cnf_transformation,[status(esa)],[f220])).
% 0.15/0.38 fof(f517,plain,(
% 0.15/0.38 ssList(sk7)|ssItem(sk9)),
% 0.15/0.38 inference(cnf_transformation,[status(esa)],[f221])).
% 0.15/0.38 fof(f518,plain,(
% 0.15/0.38 ssList(sk7)|ssList(sk10)),
% 0.15/0.38 inference(cnf_transformation,[status(esa)],[f222])).
% 0.15/0.38 fof(f519,plain,(
% 0.15/0.38 ssList(sk7)|app(app(cons(sk8,nil),cons(sk9,nil)),sk10)=sk2),
% 0.15/0.38 inference(cnf_transformation,[status(esa)],[f223])).
% 0.15/0.38 fof(f520,plain,(
% 0.15/0.38 app(app(cons(sk5,nil),cons(sk6,nil)),sk7)=sk2|ssItem(sk9)),
% 0.15/0.38 inference(cnf_transformation,[status(esa)],[f224])).
% 0.15/0.38 fof(f521,plain,(
% 0.15/0.38 app(app(cons(sk5,nil),cons(sk6,nil)),sk7)=sk2|ssList(sk10)),
% 0.15/0.38 inference(cnf_transformation,[status(esa)],[f225])).
% 0.15/0.38 fof(f522,plain,(
% 0.15/0.38 app(app(cons(sk5,nil),cons(sk6,nil)),sk7)=sk2|app(app(cons(sk8,nil),cons(sk9,nil)),sk10)=sk2),
% 0.15/0.38 inference(cnf_transformation,[status(esa)],[f226])).
% 0.15/0.38 fof(f545,plain,(
% 0.15/0.38 spl0_2 <=> ~ssItem(X0)|~ssItem(X1)|~ssList(X2)|~app(app(cons(X0,nil),cons(X1,nil)),X2)=sk4),
% 0.15/0.38 introduced(split_symbol_definition)).
% 0.15/0.38 fof(f546,plain,(
% 0.15/0.38 ![X0,X1,X2]: (~ssItem(X0)|~ssItem(X1)|~ssList(X2)|~app(app(cons(X0,nil),cons(X1,nil)),X2)=sk4|~spl0_2)),
% 0.15/0.38 inference(component_clause,[status(thm)],[f545])).
% 0.15/0.38 fof(f548,plain,(
% 0.15/0.38 spl0_3 <=> ~ssItem(X3)|~ssItem(X4)|~ssList(X5)|app(app(cons(X4,nil),X5),cons(X3,nil))=sk3|~app(app(cons(X3,nil),X5),cons(X4,nil))=sk4),
% 0.15/0.38 introduced(split_symbol_definition)).
% 0.15/0.38 fof(f549,plain,(
% 0.15/0.38 ![X0,X1,X2]: (~ssItem(X0)|~ssItem(X1)|~ssList(X2)|app(app(cons(X1,nil),X2),cons(X0,nil))=sk3|~app(app(cons(X0,nil),X2),cons(X1,nil))=sk4|~spl0_3)),
% 0.15/0.38 inference(component_clause,[status(thm)],[f548])).
% 0.15/0.38 fof(f551,plain,(
% 0.15/0.38 spl0_2|spl0_3),
% 0.15/0.38 inference(split_clause,[status(thm)],[f479,f545,f548])).
% 0.15/0.38 fof(f552,plain,(
% 0.15/0.38 spl0_4 <=> ssItem(sk8)),
% 0.15/0.38 introduced(split_symbol_definition)).
% 0.15/0.38 fof(f556,plain,(
% 0.15/0.38 spl0_5 <=> ssItem(sk9)),
% 0.15/0.38 introduced(split_symbol_definition)).
% 0.15/0.38 fof(f560,plain,(
% 0.15/0.38 spl0_6 <=> ssList(sk10)),
% 0.15/0.38 introduced(split_symbol_definition)).
% 0.15/0.38 fof(f564,plain,(
% 0.15/0.38 spl0_7 <=> app(app(cons(sk8,nil),cons(sk9,nil)),sk10)=sk2),
% 0.15/0.38 introduced(split_symbol_definition)).
% 0.15/0.38 fof(f565,plain,(
% 0.15/0.38 app(app(cons(sk8,nil),cons(sk9,nil)),sk10)=sk2|~spl0_7),
% 0.15/0.38 inference(component_clause,[status(thm)],[f564])).
% 0.15/0.38 fof(f568,plain,(
% 0.15/0.38 spl0_8 <=> ssItem(sk11)),
% 0.15/0.38 introduced(split_symbol_definition)).
% 0.15/0.38 fof(f571,plain,(
% 0.15/0.38 spl0_2|spl0_8),
% 0.15/0.38 inference(split_clause,[status(thm)],[f489,f545,f568])).
% 0.15/0.38 fof(f572,plain,(
% 0.15/0.38 spl0_9 <=> ssItem(sk12)),
% 0.15/0.38 introduced(split_symbol_definition)).
% 0.15/0.38 fof(f575,plain,(
% 0.15/0.38 spl0_2|spl0_9),
% 0.15/0.38 inference(split_clause,[status(thm)],[f491,f545,f572])).
% 0.15/0.38 fof(f576,plain,(
% 0.15/0.38 spl0_10 <=> ssList(sk13)),
% 0.15/0.38 introduced(split_symbol_definition)).
% 0.15/0.38 fof(f579,plain,(
% 0.15/0.38 spl0_2|spl0_10),
% 0.15/0.38 inference(split_clause,[status(thm)],[f493,f545,f576])).
% 0.15/0.38 fof(f580,plain,(
% 0.15/0.38 spl0_11 <=> app(app(cons(sk11,nil),sk13),cons(sk12,nil))=sk2),
% 0.15/0.38 introduced(split_symbol_definition)).
% 0.15/0.38 fof(f581,plain,(
% 0.15/0.38 app(app(cons(sk11,nil),sk13),cons(sk12,nil))=sk2|~spl0_11),
% 0.15/0.38 inference(component_clause,[status(thm)],[f580])).
% 0.15/0.38 fof(f583,plain,(
% 0.15/0.38 spl0_2|spl0_11),
% 0.15/0.38 inference(split_clause,[status(thm)],[f495,f545,f580])).
% 0.15/0.38 fof(f584,plain,(
% 0.15/0.38 spl0_12 <=> app(app(cons(sk12,nil),sk13),cons(sk11,nil))=sk1),
% 0.15/0.38 introduced(split_symbol_definition)).
% 0.15/0.38 fof(f587,plain,(
% 0.15/0.38 spl0_2|~spl0_12),
% 0.15/0.38 inference(split_clause,[status(thm)],[f497,f545,f584])).
% 0.15/0.38 fof(f588,plain,(
% 0.15/0.38 spl0_13 <=> ssItem(sk5)),
% 0.15/0.38 introduced(split_symbol_definition)).
% 0.15/0.38 fof(f591,plain,(
% 0.15/0.38 spl0_13|spl0_3),
% 0.15/0.38 inference(split_clause,[status(thm)],[f498,f588,f548])).
% 0.15/0.38 fof(f592,plain,(
% 0.15/0.38 spl0_14 <=> ssItem(sk6)),
% 0.15/0.38 introduced(split_symbol_definition)).
% 0.15/0.38 fof(f596,plain,(
% 0.15/0.38 spl0_15 <=> ssList(sk7)),
% 0.15/0.38 introduced(split_symbol_definition)).
% 0.15/0.38 fof(f600,plain,(
% 0.15/0.38 spl0_16 <=> app(app(cons(sk5,nil),cons(sk6,nil)),sk7)=sk2),
% 0.15/0.38 introduced(split_symbol_definition)).
% 0.15/0.38 fof(f601,plain,(
% 0.15/0.38 app(app(cons(sk5,nil),cons(sk6,nil)),sk7)=sk2|~spl0_16),
% 0.15/0.38 inference(component_clause,[status(thm)],[f600])).
% 0.15/0.38 fof(f604,plain,(
% 0.15/0.38 spl0_13|spl0_4),
% 0.15/0.38 inference(split_clause,[status(thm)],[f502,f588,f552])).
% 0.15/0.38 fof(f605,plain,(
% 0.15/0.38 spl0_13|spl0_5),
% 0.15/0.38 inference(split_clause,[status(thm)],[f503,f588,f556])).
% 0.15/0.38 fof(f606,plain,(
% 0.15/0.38 spl0_13|spl0_6),
% 0.15/0.38 inference(split_clause,[status(thm)],[f504,f588,f560])).
% 0.15/0.38 fof(f607,plain,(
% 0.15/0.38 spl0_13|spl0_7),
% 0.15/0.38 inference(split_clause,[status(thm)],[f505,f588,f564])).
% 0.15/0.38 fof(f612,plain,(
% 0.15/0.38 spl0_13|~spl0_12),
% 0.15/0.38 inference(split_clause,[status(thm)],[f510,f588,f584])).
% 0.15/0.38 fof(f613,plain,(
% 0.15/0.38 spl0_14|spl0_4),
% 0.15/0.38 inference(split_clause,[status(thm)],[f511,f592,f552])).
% 0.15/0.38 fof(f614,plain,(
% 0.15/0.38 spl0_14|spl0_5),
% 0.15/0.38 inference(split_clause,[status(thm)],[f512,f592,f556])).
% 0.15/0.38 fof(f615,plain,(
% 0.15/0.38 spl0_14|spl0_6),
% 0.15/0.38 inference(split_clause,[status(thm)],[f513,f592,f560])).
% 0.15/0.38 fof(f616,plain,(
% 0.15/0.38 spl0_14|spl0_7),
% 0.15/0.38 inference(split_clause,[status(thm)],[f514,f592,f564])).
% 0.15/0.38 fof(f617,plain,(
% 0.15/0.38 spl0_15|spl0_4),
% 0.15/0.38 inference(split_clause,[status(thm)],[f515,f596,f552])).
% 0.15/0.38 fof(f618,plain,(
% 0.15/0.38 spl0_16|spl0_4),
% 0.15/0.38 inference(split_clause,[status(thm)],[f516,f600,f552])).
% 0.15/0.38 fof(f619,plain,(
% 0.15/0.38 spl0_15|spl0_5),
% 0.15/0.38 inference(split_clause,[status(thm)],[f517,f596,f556])).
% 0.15/0.38 fof(f620,plain,(
% 0.15/0.38 spl0_15|spl0_6),
% 0.15/0.38 inference(split_clause,[status(thm)],[f518,f596,f560])).
% 0.15/0.38 fof(f621,plain,(
% 0.15/0.38 spl0_15|spl0_7),
% 0.15/0.38 inference(split_clause,[status(thm)],[f519,f596,f564])).
% 0.15/0.38 fof(f622,plain,(
% 0.15/0.38 spl0_16|spl0_5),
% 0.15/0.38 inference(split_clause,[status(thm)],[f520,f600,f556])).
% 0.15/0.38 fof(f623,plain,(
% 0.15/0.38 spl0_16|spl0_6),
% 0.15/0.38 inference(split_clause,[status(thm)],[f521,f600,f560])).
% 0.15/0.38 fof(f624,plain,(
% 0.15/0.38 spl0_16|spl0_7),
% 0.15/0.38 inference(split_clause,[status(thm)],[f522,f600,f564])).
% 0.15/0.38 fof(f671,plain,(
% 0.15/0.38 spl0_17 <=> ssList(nil)),
% 0.15/0.38 introduced(split_symbol_definition)).
% 0.15/0.38 fof(f673,plain,(
% 0.15/0.38 ~ssList(nil)|spl0_17),
% 0.15/0.38 inference(component_clause,[status(thm)],[f671])).
% 0.15/0.38 fof(f674,plain,(
% 0.15/0.38 spl0_18 <=> nil=nil),
% 0.15/0.38 introduced(split_symbol_definition)).
% 0.15/0.38 fof(f677,plain,(
% 0.15/0.38 ~ssList(nil)|~ssList(nil)|nil=nil|~ssList(nil)),
% 0.15/0.38 inference(resolution,[status(thm)],[f369,f316])).
% 0.15/0.38 fof(f678,plain,(
% 0.15/0.38 ~spl0_17|spl0_18),
% 0.15/0.38 inference(split_clause,[status(thm)],[f677,f671,f674])).
% 0.15/0.38 fof(f681,plain,(
% 0.15/0.38 $false|spl0_17),
% 0.15/0.38 inference(forward_subsumption_resolution,[status(thm)],[f673,f249])).
% 0.15/0.38 fof(f682,plain,(
% 0.15/0.38 spl0_17),
% 0.15/0.38 inference(contradiction_clause,[status(thm)],[f681])).
% 0.15/0.38 fof(f687,plain,(
% 0.15/0.38 spl0_19 <=> ssList(cons(sk6,nil))),
% 0.15/0.38 introduced(split_symbol_definition)).
% 0.15/0.38 fof(f689,plain,(
% 0.15/0.38 ~ssList(cons(sk6,nil))|spl0_19),
% 0.15/0.38 inference(component_clause,[status(thm)],[f687])).
% 0.15/0.38 fof(f690,plain,(
% 0.15/0.38 spl0_20 <=> ssList(cons(sk5,nil))),
% 0.15/0.38 introduced(split_symbol_definition)).
% 0.15/0.38 fof(f692,plain,(
% 0.15/0.38 ~ssList(cons(sk5,nil))|spl0_20),
% 0.15/0.38 inference(component_clause,[status(thm)],[f690])).
% 0.15/0.38 fof(f724,plain,(
% 0.15/0.38 ![X0,X1,X2]: (~ssItem(X0)|~ssItem(X1)|~ssList(X2)|~app(app(cons(X0,nil),cons(X1,nil)),X2)=sk2|~spl0_2)),
% 0.15/0.38 inference(forward_demodulation,[status(thm)],[f476,f546])).
% 0.15/0.38 fof(f725,plain,(
% 0.15/0.38 ~ssItem(sk5)|~ssItem(sk6)|~ssList(sk7)|~spl0_2|~spl0_16),
% 0.15/0.38 inference(resolution,[status(thm)],[f724,f601])).
% 0.15/0.38 fof(f726,plain,(
% 0.15/0.38 ~spl0_13|~spl0_14|~spl0_15|~spl0_2|~spl0_16),
% 0.15/0.38 inference(split_clause,[status(thm)],[f725,f588,f592,f596,f545,f600])).
% 0.15/0.38 fof(f732,plain,(
% 0.15/0.38 ![X0,X1,X2]: (~ssItem(X0)|~ssItem(X1)|~ssList(X2)|app(app(cons(X1,nil),X2),cons(X0,nil))=sk1|~app(app(cons(X0,nil),X2),cons(X1,nil))=sk4|~spl0_3)),
% 0.15/0.38 inference(forward_demodulation,[status(thm)],[f477,f549])).
% 0.15/0.38 fof(f733,plain,(
% 0.15/0.38 ![X0,X1,X2]: (~ssItem(X0)|~ssItem(X1)|~ssList(X2)|app(app(cons(X1,nil),X2),cons(X0,nil))=sk1|~app(app(cons(X0,nil),X2),cons(X1,nil))=sk2|~spl0_3)),
% 0.15/0.38 inference(forward_demodulation,[status(thm)],[f476,f732])).
% 0.15/0.38 fof(f737,plain,(
% 0.15/0.38 ~ssItem(sk8)|~ssItem(sk9)|~ssList(sk10)|~spl0_7|~spl0_2),
% 0.15/0.38 inference(resolution,[status(thm)],[f565,f724])).
% 0.15/0.38 fof(f738,plain,(
% 0.15/0.38 ~spl0_4|~spl0_5|~spl0_6|~spl0_7|~spl0_2),
% 0.15/0.38 inference(split_clause,[status(thm)],[f737,f552,f556,f560,f564,f545])).
% 0.15/0.38 fof(f784,plain,(
% 0.15/0.38 ~ssItem(sk5)|~ssList(nil)|spl0_20),
% 0.15/0.38 inference(resolution,[status(thm)],[f692,f328])).
% 0.15/0.38 fof(f785,plain,(
% 0.15/0.38 ~spl0_13|~spl0_17|spl0_20),
% 0.15/0.38 inference(split_clause,[status(thm)],[f784,f588,f671,f690])).
% 0.15/0.38 fof(f786,plain,(
% 0.15/0.38 ~ssItem(sk6)|~ssList(nil)|spl0_19),
% 0.15/0.38 inference(resolution,[status(thm)],[f689,f328])).
% 0.15/0.38 fof(f787,plain,(
% 0.15/0.38 ~spl0_14|~spl0_17|spl0_19),
% 0.15/0.38 inference(split_clause,[status(thm)],[f786,f592,f671,f687])).
% 0.15/0.38 fof(f791,plain,(
% 0.15/0.38 ~ssItem(sk11)|~ssItem(sk12)|~ssList(sk13)|app(app(cons(sk12,nil),sk13),cons(sk11,nil))=sk1|~spl0_11|~spl0_3),
% 0.15/0.38 inference(resolution,[status(thm)],[f581,f733])).
% 0.15/0.38 fof(f792,plain,(
% 0.15/0.38 ~spl0_8|~spl0_9|~spl0_10|spl0_12|~spl0_11|~spl0_3),
% 0.15/0.38 inference(split_clause,[status(thm)],[f791,f568,f572,f576,f584,f580,f548])).
% 0.15/0.38 fof(f826,plain,(
% 0.15/0.38 $false),
% 0.15/0.38 inference(sat_refutation,[status(thm)],[f551,f571,f575,f579,f583,f587,f591,f604,f605,f606,f607,f612,f613,f614,f615,f616,f617,f618,f619,f620,f621,f622,f623,f624,f678,f682,f726,f738,f785,f787,f792])).
% 0.15/0.38 % SZS output end CNFRefutation for theBenchmark.p
% 0.22/0.39 % Elapsed time: 0.030703 seconds
% 0.22/0.39 % CPU time: 0.053780 seconds
% 0.22/0.39 % Total memory used: 15.042 MB
% 0.22/0.39 % Net memory used: 14.998 MB
%------------------------------------------------------------------------------