TSTP Solution File: SWC306-1 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : SWC306-1 : TPTP v8.1.2. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n023.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 20:45:17 EDT 2024
% Result : Unsatisfiable 0.20s 0.51s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SWC306-1 : TPTP v8.1.2. Released v2.4.0.
% 0.03/0.12 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34 % Computer : n023.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue Apr 30 00:19:10 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.13/0.35 % Drodi V3.6.0
% 0.20/0.51 % Refutation found
% 0.20/0.51 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.20/0.51 % SZS output start CNFRefutation for theBenchmark
% 0.20/0.51 fof(f8,axiom,(
% 0.20/0.51 ssList(nil) ),
% 0.20/0.51 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.51 fof(f71,axiom,(
% 0.20/0.51 (![U]: (( ~ memberP(nil,U)| ~ ssItem(U) ) ))),
% 0.20/0.51 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.51 fof(f85,axiom,(
% 0.20/0.51 (![U,V]: (( ~ ssList(U)| ~ ssList(V)| ssList(app(V,U)) ) ))),
% 0.20/0.51 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.51 fof(f86,axiom,(
% 0.20/0.51 (![U,V]: (( ~ ssItem(U)| ~ ssList(V)| ssList(cons(U,V)) ) ))),
% 0.20/0.51 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.51 fof(f114,axiom,(
% 0.20/0.51 (![U,V]: (( ~ lt(U,V)| ~ lt(V,U)| ~ ssItem(U)| ~ ssItem(V) ) ))),
% 0.20/0.51 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.51 fof(f138,axiom,(
% 0.20/0.51 (![U,V,W]: (( U != V| ~ ssList(W)| ~ ssItem(V)| ~ ssItem(U)| memberP(cons(V,W),U) ) ))),
% 0.20/0.51 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.51 fof(f140,axiom,(
% 0.20/0.51 (![U,V,W]: (( ~ memberP(U,V)| ~ ssList(W)| ~ ssList(U)| ~ ssItem(V)| memberP(app(U,W),V) ) ))),
% 0.20/0.51 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.51 fof(f141,axiom,(
% 0.20/0.51 (![U,V,W]: (( ~ memberP(U,V)| ~ ssList(U)| ~ ssList(W)| ~ ssItem(V)| memberP(app(W,U),V) ) ))),
% 0.20/0.51 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.51 fof(f149,axiom,(
% 0.20/0.51 (![U,V,W]: (( ~ ssList(U)| ~ ssList(V)| ~ ssList(W)| app(app(W,V),U) = app(W,app(V,U)) ) ))),
% 0.20/0.51 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.51 fof(f161,axiom,(
% 0.20/0.51 (![U,V,W]: (( ~ memberP(cons(U,V),W)| ~ ssList(V)| ~ ssItem(U)| ~ ssItem(W)| memberP(V,W)| W = U ) ))),
% 0.20/0.51 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.51 fof(f191,negated_conjecture,(
% 0.20/0.51 sk1 = sk3 ),
% 0.20/0.51 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.51 fof(f192,negated_conjecture,(
% 0.20/0.51 ssItem(sk5) ),
% 0.20/0.51 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.51 fof(f193,negated_conjecture,(
% 0.20/0.51 ssItem(sk6) ),
% 0.20/0.51 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.51 fof(f194,negated_conjecture,(
% 0.20/0.51 ssList(sk7) ),
% 0.20/0.51 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.51 fof(f195,negated_conjecture,(
% 0.20/0.51 ssList(sk8) ),
% 0.20/0.51 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.51 fof(f196,negated_conjecture,(
% 0.20/0.51 ssList(sk9) ),
% 0.20/0.51 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.51 fof(f197,negated_conjecture,(
% 0.20/0.51 app(app(app(app(sk7,cons(sk5,nil)),sk8),cons(sk6,nil)),sk9) = sk1 ),
% 0.20/0.51 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.51 fof(f198,negated_conjecture,(
% 0.20/0.51 lt(sk6,sk5) ),
% 0.20/0.51 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.51 fof(f200,negated_conjecture,(
% 0.20/0.51 ( ssItem(sk10)| nil = sk3 ) ),
% 0.20/0.51 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.51 fof(f203,negated_conjecture,(
% 0.20/0.51 ( cons(sk10,nil) = sk3| nil = sk3 ) ),
% 0.20/0.51 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.51 fof(f212,plain,(
% 0.20/0.51 ssList(nil)),
% 0.20/0.51 inference(cnf_transformation,[status(esa)],[f8])).
% 0.20/0.51 fof(f275,plain,(
% 0.20/0.51 ![X0]: (~memberP(nil,X0)|~ssItem(X0))),
% 0.20/0.51 inference(cnf_transformation,[status(esa)],[f71])).
% 0.20/0.51 fof(f290,plain,(
% 0.20/0.51 ![X0,X1]: (~ssList(X0)|~ssList(X1)|ssList(app(X1,X0)))),
% 0.20/0.51 inference(cnf_transformation,[status(esa)],[f85])).
% 0.20/0.51 fof(f291,plain,(
% 0.20/0.51 ![X0,X1]: (~ssItem(X0)|~ssList(X1)|ssList(cons(X0,X1)))),
% 0.20/0.51 inference(cnf_transformation,[status(esa)],[f86])).
% 0.20/0.51 fof(f323,plain,(
% 0.20/0.51 ![V]: ((![U]: ((~lt(U,V)|~lt(V,U))|~ssItem(U)))|~ssItem(V))),
% 0.20/0.51 inference(miniscoping,[status(esa)],[f114])).
% 0.20/0.51 fof(f324,plain,(
% 0.20/0.51 ![X0,X1]: (~lt(X0,X1)|~lt(X1,X0)|~ssItem(X0)|~ssItem(X1))),
% 0.20/0.51 inference(cnf_transformation,[status(esa)],[f323])).
% 0.20/0.51 fof(f357,plain,(
% 0.20/0.51 ![X0,X1,X2]: (~X0=X1|~ssList(X2)|~ssItem(X1)|~ssItem(X0)|memberP(cons(X1,X2),X0))),
% 0.20/0.51 inference(cnf_transformation,[status(esa)],[f138])).
% 0.20/0.51 fof(f359,plain,(
% 0.20/0.51 ![X0,X1,X2]: (~memberP(X0,X1)|~ssList(X2)|~ssList(X0)|~ssItem(X1)|memberP(app(X0,X2),X1))),
% 0.20/0.51 inference(cnf_transformation,[status(esa)],[f140])).
% 0.20/0.51 fof(f360,plain,(
% 0.20/0.51 ![X0,X1,X2]: (~memberP(X0,X1)|~ssList(X0)|~ssList(X2)|~ssItem(X1)|memberP(app(X2,X0),X1))),
% 0.20/0.51 inference(cnf_transformation,[status(esa)],[f141])).
% 0.20/0.51 fof(f373,plain,(
% 0.20/0.51 ![X0,X1,X2]: (~ssList(X0)|~ssList(X1)|~ssList(X2)|app(app(X2,X1),X0)=app(X2,app(X1,X0)))),
% 0.20/0.51 inference(cnf_transformation,[status(esa)],[f149])).
% 0.20/0.51 fof(f395,plain,(
% 0.20/0.51 ![U,W]: ((![V]: ((((~memberP(cons(U,V),W)|~ssList(V))|~ssItem(U))|~ssItem(W))|memberP(V,W)))|W=U)),
% 0.20/0.51 inference(miniscoping,[status(esa)],[f161])).
% 0.20/0.51 fof(f396,plain,(
% 0.20/0.51 ![X0,X1,X2]: (~memberP(cons(X0,X1),X2)|~ssList(X1)|~ssItem(X0)|~ssItem(X2)|memberP(X1,X2)|X2=X0)),
% 0.20/0.51 inference(cnf_transformation,[status(esa)],[f395])).
% 0.20/0.51 fof(f440,plain,(
% 0.20/0.51 sk1=sk3),
% 0.20/0.51 inference(cnf_transformation,[status(esa)],[f191])).
% 0.20/0.51 fof(f441,plain,(
% 0.20/0.51 ssItem(sk5)),
% 0.20/0.51 inference(cnf_transformation,[status(esa)],[f192])).
% 0.20/0.51 fof(f442,plain,(
% 0.20/0.51 ssItem(sk6)),
% 0.20/0.51 inference(cnf_transformation,[status(esa)],[f193])).
% 0.20/0.51 fof(f443,plain,(
% 0.20/0.51 ssList(sk7)),
% 0.20/0.51 inference(cnf_transformation,[status(esa)],[f194])).
% 0.20/0.51 fof(f444,plain,(
% 0.20/0.51 ssList(sk8)),
% 0.20/0.51 inference(cnf_transformation,[status(esa)],[f195])).
% 0.20/0.51 fof(f445,plain,(
% 0.20/0.51 ssList(sk9)),
% 0.20/0.51 inference(cnf_transformation,[status(esa)],[f196])).
% 0.20/0.51 fof(f446,plain,(
% 0.20/0.51 app(app(app(app(sk7,cons(sk5,nil)),sk8),cons(sk6,nil)),sk9)=sk1),
% 0.20/0.51 inference(cnf_transformation,[status(esa)],[f197])).
% 0.20/0.51 fof(f447,plain,(
% 0.20/0.51 lt(sk6,sk5)),
% 0.20/0.51 inference(cnf_transformation,[status(esa)],[f198])).
% 0.20/0.51 fof(f449,plain,(
% 0.20/0.51 ssItem(sk10)|nil=sk3),
% 0.20/0.51 inference(cnf_transformation,[status(esa)],[f200])).
% 0.20/0.51 fof(f452,plain,(
% 0.20/0.51 cons(sk10,nil)=sk3|nil=sk3),
% 0.20/0.51 inference(cnf_transformation,[status(esa)],[f203])).
% 0.20/0.51 fof(f461,plain,(
% 0.20/0.51 spl0_2 <=> ssItem(sk10)),
% 0.20/0.51 introduced(split_symbol_definition)).
% 0.20/0.51 fof(f468,plain,(
% 0.20/0.51 spl0_4 <=> nil=sk3),
% 0.20/0.51 introduced(split_symbol_definition)).
% 0.20/0.51 fof(f469,plain,(
% 0.20/0.51 nil=sk3|~spl0_4),
% 0.20/0.51 inference(component_clause,[status(thm)],[f468])).
% 0.20/0.51 fof(f471,plain,(
% 0.20/0.51 spl0_2|spl0_4),
% 0.20/0.51 inference(split_clause,[status(thm)],[f449,f461,f468])).
% 0.20/0.51 fof(f472,plain,(
% 0.20/0.51 spl0_5 <=> cons(sk10,nil)=sk3),
% 0.20/0.51 introduced(split_symbol_definition)).
% 0.20/0.51 fof(f473,plain,(
% 0.20/0.51 cons(sk10,nil)=sk3|~spl0_5),
% 0.20/0.51 inference(component_clause,[status(thm)],[f472])).
% 0.20/0.51 fof(f480,plain,(
% 0.20/0.51 spl0_5|spl0_4),
% 0.20/0.51 inference(split_clause,[status(thm)],[f452,f472,f468])).
% 0.20/0.51 fof(f494,plain,(
% 0.20/0.51 ![X2,X1]: (~ssList(X2)|~ssItem(X1)|~ssItem(X1)|memberP(cons(X1,X2),X1))),
% 0.20/0.51 inference(destructive_equality_resolution,[status(esa)],[f357])).
% 0.20/0.51 fof(f495,plain,(
% 0.20/0.51 ![X0,X1]: (~ssList(X0)|~ssItem(X1)|memberP(cons(X1,X0),X1))),
% 0.20/0.51 inference(duplicate_literals_removal,[status(esa)],[f494])).
% 0.20/0.51 fof(f513,plain,(
% 0.20/0.51 nil=sk1|~spl0_4),
% 0.20/0.51 inference(forward_demodulation,[status(thm)],[f440,f469])).
% 0.20/0.51 fof(f520,plain,(
% 0.20/0.51 spl0_7 <=> ssList(sk9)),
% 0.20/0.51 introduced(split_symbol_definition)).
% 0.20/0.51 fof(f522,plain,(
% 0.20/0.51 ~ssList(sk9)|spl0_7),
% 0.20/0.51 inference(component_clause,[status(thm)],[f520])).
% 0.20/0.51 fof(f523,plain,(
% 0.20/0.51 spl0_8 <=> ssList(app(app(app(sk7,cons(sk5,nil)),sk8),cons(sk6,nil)))),
% 0.20/0.51 introduced(split_symbol_definition)).
% 0.20/0.51 fof(f525,plain,(
% 0.20/0.51 ~ssList(app(app(app(sk7,cons(sk5,nil)),sk8),cons(sk6,nil)))|spl0_8),
% 0.20/0.51 inference(component_clause,[status(thm)],[f523])).
% 0.20/0.51 fof(f526,plain,(
% 0.20/0.51 spl0_9 <=> ssList(nil)),
% 0.20/0.51 introduced(split_symbol_definition)).
% 0.20/0.51 fof(f528,plain,(
% 0.20/0.51 ~ssList(nil)|spl0_9),
% 0.20/0.51 inference(component_clause,[status(thm)],[f526])).
% 0.20/0.51 fof(f532,plain,(
% 0.20/0.51 cons(sk10,nil)=sk1|~spl0_5),
% 0.20/0.51 inference(forward_demodulation,[status(thm)],[f440,f473])).
% 0.20/0.51 fof(f533,plain,(
% 0.20/0.51 spl0_10 <=> ssList(cons(sk6,nil))),
% 0.20/0.51 introduced(split_symbol_definition)).
% 0.20/0.51 fof(f535,plain,(
% 0.20/0.51 ~ssList(cons(sk6,nil))|spl0_10),
% 0.20/0.51 inference(component_clause,[status(thm)],[f533])).
% 0.20/0.51 fof(f536,plain,(
% 0.20/0.51 spl0_11 <=> ssList(app(app(sk7,cons(sk5,nil)),sk8))),
% 0.20/0.51 introduced(split_symbol_definition)).
% 0.20/0.51 fof(f538,plain,(
% 0.20/0.51 ~ssList(app(app(sk7,cons(sk5,nil)),sk8))|spl0_11),
% 0.20/0.51 inference(component_clause,[status(thm)],[f536])).
% 0.20/0.51 fof(f539,plain,(
% 0.20/0.51 ~ssList(cons(sk6,nil))|~ssList(app(app(sk7,cons(sk5,nil)),sk8))|spl0_8),
% 0.20/0.51 inference(resolution,[status(thm)],[f525,f290])).
% 0.20/0.51 fof(f540,plain,(
% 0.20/0.51 ~spl0_10|~spl0_11|spl0_8),
% 0.20/0.51 inference(split_clause,[status(thm)],[f539,f533,f536,f523])).
% 0.20/0.51 fof(f541,plain,(
% 0.20/0.51 $false|spl0_7),
% 0.20/0.51 inference(forward_subsumption_resolution,[status(thm)],[f522,f445])).
% 0.20/0.51 fof(f542,plain,(
% 0.20/0.51 spl0_7),
% 0.20/0.51 inference(contradiction_clause,[status(thm)],[f541])).
% 0.20/0.51 fof(f544,plain,(
% 0.20/0.51 spl0_12 <=> ssList(sk1)),
% 0.20/0.51 introduced(split_symbol_definition)).
% 0.20/0.51 fof(f547,plain,(
% 0.20/0.51 ~ssList(sk9)|~ssList(app(app(app(sk7,cons(sk5,nil)),sk8),cons(sk6,nil)))|ssList(sk1)),
% 0.20/0.51 inference(paramodulation,[status(thm)],[f446,f290])).
% 0.20/0.51 fof(f548,plain,(
% 0.20/0.51 ~spl0_7|~spl0_8|spl0_12),
% 0.20/0.51 inference(split_clause,[status(thm)],[f547,f520,f523,f544])).
% 0.20/0.51 fof(f563,plain,(
% 0.20/0.51 spl0_13 <=> ssItem(sk6)),
% 0.20/0.51 introduced(split_symbol_definition)).
% 0.20/0.51 fof(f565,plain,(
% 0.20/0.51 ~ssItem(sk6)|spl0_13),
% 0.20/0.51 inference(component_clause,[status(thm)],[f563])).
% 0.20/0.51 fof(f566,plain,(
% 0.20/0.51 ~ssItem(sk6)|~ssList(nil)|spl0_10),
% 0.20/0.51 inference(resolution,[status(thm)],[f291,f535])).
% 0.20/0.51 fof(f567,plain,(
% 0.20/0.51 ~spl0_13|~spl0_9|spl0_10),
% 0.20/0.51 inference(split_clause,[status(thm)],[f566,f563,f526,f533])).
% 0.20/0.51 fof(f568,plain,(
% 0.20/0.51 $false|spl0_13),
% 0.20/0.51 inference(forward_subsumption_resolution,[status(thm)],[f565,f442])).
% 0.20/0.51 fof(f569,plain,(
% 0.20/0.51 spl0_13),
% 0.20/0.51 inference(contradiction_clause,[status(thm)],[f568])).
% 0.20/0.51 fof(f577,plain,(
% 0.20/0.51 $false|spl0_9),
% 0.20/0.51 inference(forward_subsumption_resolution,[status(thm)],[f212,f528])).
% 0.20/0.51 fof(f578,plain,(
% 0.20/0.51 spl0_9),
% 0.20/0.51 inference(contradiction_clause,[status(thm)],[f577])).
% 0.20/0.51 fof(f589,plain,(
% 0.20/0.51 spl0_14 <=> ssItem(sk5)),
% 0.20/0.51 introduced(split_symbol_definition)).
% 0.20/0.51 fof(f591,plain,(
% 0.20/0.51 ~ssItem(sk5)|spl0_14),
% 0.20/0.51 inference(component_clause,[status(thm)],[f589])).
% 0.20/0.51 fof(f597,plain,(
% 0.20/0.51 $false|spl0_14),
% 0.20/0.51 inference(forward_subsumption_resolution,[status(thm)],[f591,f441])).
% 0.20/0.51 fof(f598,plain,(
% 0.20/0.51 spl0_14),
% 0.20/0.51 inference(contradiction_clause,[status(thm)],[f597])).
% 0.20/0.51 fof(f599,plain,(
% 0.20/0.51 spl0_16 <=> lt(sk5,sk6)),
% 0.20/0.51 introduced(split_symbol_definition)).
% 0.20/0.51 fof(f601,plain,(
% 0.20/0.51 ~lt(sk5,sk6)|spl0_16),
% 0.20/0.51 inference(component_clause,[status(thm)],[f599])).
% 0.20/0.51 fof(f602,plain,(
% 0.20/0.51 ~lt(sk5,sk6)|~ssItem(sk5)|~ssItem(sk6)),
% 0.20/0.51 inference(resolution,[status(thm)],[f324,f447])).
% 0.20/0.51 fof(f603,plain,(
% 0.20/0.51 ~spl0_16|~spl0_14|~spl0_13),
% 0.20/0.51 inference(split_clause,[status(thm)],[f602,f599,f589,f563])).
% 0.20/0.51 fof(f635,plain,(
% 0.20/0.51 spl0_23 <=> sk6=sk5),
% 0.20/0.51 introduced(split_symbol_definition)).
% 0.20/0.51 fof(f636,plain,(
% 0.20/0.51 sk6=sk5|~spl0_23),
% 0.20/0.51 inference(component_clause,[status(thm)],[f635])).
% 0.20/0.51 fof(f659,plain,(
% 0.20/0.51 spl0_26 <=> ssList(sk8)),
% 0.20/0.51 introduced(split_symbol_definition)).
% 0.20/0.51 fof(f661,plain,(
% 0.20/0.51 ~ssList(sk8)|spl0_26),
% 0.20/0.51 inference(component_clause,[status(thm)],[f659])).
% 0.20/0.51 fof(f662,plain,(
% 0.20/0.51 spl0_27 <=> ssList(app(sk7,cons(sk5,nil)))),
% 0.20/0.51 introduced(split_symbol_definition)).
% 0.20/0.51 fof(f664,plain,(
% 0.20/0.51 ~ssList(app(sk7,cons(sk5,nil)))|spl0_27),
% 0.20/0.51 inference(component_clause,[status(thm)],[f662])).
% 0.20/0.51 fof(f665,plain,(
% 0.20/0.51 ~ssList(sk8)|~ssList(app(sk7,cons(sk5,nil)))|spl0_11),
% 0.20/0.51 inference(resolution,[status(thm)],[f538,f290])).
% 0.20/0.51 fof(f666,plain,(
% 0.20/0.51 ~spl0_26|~spl0_27|spl0_11),
% 0.20/0.51 inference(split_clause,[status(thm)],[f665,f659,f662,f536])).
% 0.20/0.51 fof(f667,plain,(
% 0.20/0.51 spl0_28 <=> ssList(cons(sk5,nil))),
% 0.20/0.51 introduced(split_symbol_definition)).
% 0.20/0.51 fof(f669,plain,(
% 0.20/0.51 ~ssList(cons(sk5,nil))|spl0_28),
% 0.20/0.51 inference(component_clause,[status(thm)],[f667])).
% 0.20/0.51 fof(f670,plain,(
% 0.20/0.51 spl0_29 <=> ssList(sk7)),
% 0.20/0.51 introduced(split_symbol_definition)).
% 0.20/0.51 fof(f672,plain,(
% 0.20/0.51 ~ssList(sk7)|spl0_29),
% 0.20/0.51 inference(component_clause,[status(thm)],[f670])).
% 0.20/0.51 fof(f673,plain,(
% 0.20/0.51 ~ssList(cons(sk5,nil))|~ssList(sk7)|spl0_27),
% 0.20/0.51 inference(resolution,[status(thm)],[f664,f290])).
% 0.20/0.51 fof(f674,plain,(
% 0.20/0.51 ~spl0_28|~spl0_29|spl0_27),
% 0.20/0.51 inference(split_clause,[status(thm)],[f673,f667,f670,f662])).
% 0.20/0.51 fof(f675,plain,(
% 0.20/0.51 $false|spl0_29),
% 0.20/0.51 inference(forward_subsumption_resolution,[status(thm)],[f672,f443])).
% 0.20/0.51 fof(f676,plain,(
% 0.20/0.51 spl0_29),
% 0.20/0.51 inference(contradiction_clause,[status(thm)],[f675])).
% 0.20/0.51 fof(f677,plain,(
% 0.20/0.51 $false|spl0_26),
% 0.20/0.51 inference(forward_subsumption_resolution,[status(thm)],[f661,f444])).
% 0.20/0.51 fof(f678,plain,(
% 0.20/0.51 spl0_26),
% 0.20/0.51 inference(contradiction_clause,[status(thm)],[f677])).
% 0.20/0.51 fof(f679,plain,(
% 0.20/0.51 ~ssItem(sk5)|~ssList(nil)|spl0_28),
% 0.20/0.51 inference(resolution,[status(thm)],[f669,f291])).
% 0.20/0.51 fof(f680,plain,(
% 0.20/0.51 ~spl0_14|~spl0_9|spl0_28),
% 0.20/0.51 inference(split_clause,[status(thm)],[f679,f589,f526,f667])).
% 0.20/0.51 fof(f861,plain,(
% 0.20/0.51 spl0_53 <=> ~memberP(app(app(app(sk7,cons(sk5,nil)),sk8),cons(sk6,nil)),X0)|~ssItem(X0)|memberP(sk1,X0)),
% 0.20/0.51 introduced(split_symbol_definition)).
% 0.20/0.51 fof(f862,plain,(
% 0.20/0.51 ![X0]: (~memberP(app(app(app(sk7,cons(sk5,nil)),sk8),cons(sk6,nil)),X0)|~ssItem(X0)|memberP(sk1,X0)|~spl0_53)),
% 0.20/0.51 inference(component_clause,[status(thm)],[f861])).
% 0.20/0.51 fof(f864,plain,(
% 0.20/0.51 ![X0]: (~memberP(app(app(app(sk7,cons(sk5,nil)),sk8),cons(sk6,nil)),X0)|~ssList(sk9)|~ssList(app(app(app(sk7,cons(sk5,nil)),sk8),cons(sk6,nil)))|~ssItem(X0)|memberP(sk1,X0))),
% 0.20/0.51 inference(paramodulation,[status(thm)],[f446,f359])).
% 0.20/0.51 fof(f865,plain,(
% 0.20/0.51 spl0_53|~spl0_7|~spl0_8),
% 0.20/0.51 inference(split_clause,[status(thm)],[f864,f861,f520,f523])).
% 0.20/0.51 fof(f913,plain,(
% 0.20/0.51 spl0_61 <=> ~memberP(sk1,X0)|~ssItem(X0)|memberP(nil,X0)|X0=sk10),
% 0.20/0.51 introduced(split_symbol_definition)).
% 0.20/0.51 fof(f914,plain,(
% 0.20/0.51 ![X0]: (~memberP(sk1,X0)|~ssItem(X0)|memberP(nil,X0)|X0=sk10|~spl0_61)),
% 0.20/0.51 inference(component_clause,[status(thm)],[f913])).
% 0.20/0.51 fof(f916,plain,(
% 0.20/0.51 ![X0]: (~memberP(sk1,X0)|~ssList(nil)|~ssItem(sk10)|~ssItem(X0)|memberP(nil,X0)|X0=sk10|~spl0_5)),
% 0.20/0.51 inference(paramodulation,[status(thm)],[f532,f396])).
% 0.20/0.51 fof(f917,plain,(
% 0.20/0.51 spl0_61|~spl0_9|~spl0_2|~spl0_5),
% 0.20/0.51 inference(split_clause,[status(thm)],[f916,f913,f526,f461,f472])).
% 0.20/0.51 fof(f939,plain,(
% 0.20/0.51 ![X0]: (~memberP(sk1,X0)|~ssItem(X0)|X0=sk10|~spl0_61)),
% 0.20/0.51 inference(forward_subsumption_resolution,[status(thm)],[f914,f275])).
% 0.20/0.51 fof(f965,plain,(
% 0.20/0.51 spl0_68 <=> ~ssItem(X0)|memberP(sk1,X0)|~memberP(cons(sk6,nil),X0)|~ssItem(X0)),
% 0.20/0.51 introduced(split_symbol_definition)).
% 0.20/0.51 fof(f966,plain,(
% 0.20/0.51 ![X0]: (~ssItem(X0)|memberP(sk1,X0)|~memberP(cons(sk6,nil),X0)|~ssItem(X0)|~spl0_68)),
% 0.20/0.51 inference(component_clause,[status(thm)],[f965])).
% 0.20/0.51 fof(f968,plain,(
% 0.20/0.51 ![X0]: (~ssItem(X0)|memberP(sk1,X0)|~memberP(cons(sk6,nil),X0)|~ssList(cons(sk6,nil))|~ssList(app(app(sk7,cons(sk5,nil)),sk8))|~ssItem(X0)|~spl0_53)),
% 0.20/0.51 inference(resolution,[status(thm)],[f862,f360])).
% 0.20/0.51 fof(f969,plain,(
% 0.20/0.51 spl0_68|~spl0_10|~spl0_11|~spl0_53),
% 0.20/0.51 inference(split_clause,[status(thm)],[f968,f965,f533,f536,f861])).
% 0.20/0.51 fof(f975,plain,(
% 0.20/0.51 ![X0]: (~ssItem(X0)|memberP(sk1,X0)|~memberP(cons(sk6,nil),X0)|~spl0_68)),
% 0.20/0.51 inference(duplicate_literals_removal,[status(esa)],[f966])).
% 0.20/0.51 fof(f982,plain,(
% 0.20/0.51 spl0_71 <=> memberP(sk1,sk6)),
% 0.20/0.51 introduced(split_symbol_definition)).
% 0.20/0.51 fof(f983,plain,(
% 0.20/0.51 memberP(sk1,sk6)|~spl0_71),
% 0.20/0.51 inference(component_clause,[status(thm)],[f982])).
% 0.20/0.51 fof(f985,plain,(
% 0.20/0.51 ~ssItem(sk6)|memberP(sk1,sk6)|~ssList(nil)|~ssItem(sk6)|~spl0_68),
% 0.20/0.51 inference(resolution,[status(thm)],[f975,f495])).
% 0.20/0.51 fof(f986,plain,(
% 0.20/0.51 ~spl0_13|spl0_71|~spl0_9|~spl0_68),
% 0.20/0.51 inference(split_clause,[status(thm)],[f985,f563,f982,f526,f965])).
% 0.20/0.51 fof(f988,plain,(
% 0.20/0.51 spl0_72 <=> sk6=sk10),
% 0.20/0.51 introduced(split_symbol_definition)).
% 0.20/0.51 fof(f989,plain,(
% 0.20/0.51 sk6=sk10|~spl0_72),
% 0.20/0.51 inference(component_clause,[status(thm)],[f988])).
% 0.20/0.51 fof(f991,plain,(
% 0.20/0.51 ~ssItem(sk6)|sk6=sk10|~spl0_71|~spl0_61),
% 0.20/0.51 inference(resolution,[status(thm)],[f983,f939])).
% 0.20/0.51 fof(f992,plain,(
% 0.20/0.51 ~spl0_13|spl0_72|~spl0_71|~spl0_61),
% 0.20/0.51 inference(split_clause,[status(thm)],[f991,f563,f988,f982,f913])).
% 0.20/0.51 fof(f1005,plain,(
% 0.20/0.51 memberP(nil,sk6)|~spl0_4|~spl0_71),
% 0.20/0.51 inference(backward_demodulation,[status(thm)],[f513,f983])).
% 0.20/0.51 fof(f1015,plain,(
% 0.20/0.51 ~ssItem(sk6)|~spl0_4|~spl0_71),
% 0.20/0.51 inference(resolution,[status(thm)],[f1005,f275])).
% 0.20/0.51 fof(f1016,plain,(
% 0.20/0.51 ~spl0_13|~spl0_4|~spl0_71),
% 0.20/0.51 inference(split_clause,[status(thm)],[f1015,f563,f468,f982])).
% 0.20/0.51 fof(f1049,plain,(
% 0.20/0.51 cons(sk6,nil)=sk1|~spl0_72|~spl0_5),
% 0.20/0.51 inference(forward_demodulation,[status(thm)],[f989,f532])).
% 0.20/0.51 fof(f1050,plain,(
% 0.20/0.51 app(app(app(app(sk7,cons(sk5,nil)),sk8),sk1),sk9)=sk1|~spl0_72|~spl0_5),
% 0.20/0.51 inference(backward_demodulation,[status(thm)],[f1049,f446])).
% 0.20/0.51 fof(f1092,plain,(
% 0.20/0.51 ![X0]: (~memberP(sk1,X0)|~ssItem(X0)|X0=sk6|~spl0_72|~spl0_61)),
% 0.20/0.51 inference(forward_demodulation,[status(thm)],[f989,f939])).
% 0.20/0.51 fof(f1114,plain,(
% 0.20/0.51 spl0_79 <=> sk1=app(app(app(sk7,cons(sk5,nil)),sk8),app(sk1,sk9))),
% 0.20/0.51 introduced(split_symbol_definition)).
% 0.20/0.51 fof(f1115,plain,(
% 0.20/0.51 sk1=app(app(app(sk7,cons(sk5,nil)),sk8),app(sk1,sk9))|~spl0_79),
% 0.20/0.51 inference(component_clause,[status(thm)],[f1114])).
% 0.20/0.51 fof(f1117,plain,(
% 0.20/0.51 ~ssList(sk9)|~ssList(sk1)|~ssList(app(app(sk7,cons(sk5,nil)),sk8))|sk1=app(app(app(sk7,cons(sk5,nil)),sk8),app(sk1,sk9))|~spl0_72|~spl0_5),
% 0.20/0.51 inference(paramodulation,[status(thm)],[f1050,f373])).
% 0.20/0.51 fof(f1118,plain,(
% 0.20/0.51 ~spl0_7|~spl0_12|~spl0_11|spl0_79|~spl0_72|~spl0_5),
% 0.20/0.51 inference(split_clause,[status(thm)],[f1117,f520,f544,f536,f1114,f988,f472])).
% 0.20/0.51 fof(f1171,plain,(
% 0.20/0.51 spl0_88 <=> ssList(app(sk1,sk9))),
% 0.20/0.51 introduced(split_symbol_definition)).
% 0.20/0.51 fof(f1173,plain,(
% 0.20/0.51 ~ssList(app(sk1,sk9))|spl0_88),
% 0.20/0.51 inference(component_clause,[status(thm)],[f1171])).
% 0.20/0.51 fof(f1174,plain,(
% 0.20/0.51 spl0_89 <=> sk1=app(app(sk7,cons(sk5,nil)),app(sk8,app(sk1,sk9)))),
% 0.20/0.51 introduced(split_symbol_definition)).
% 0.20/0.51 fof(f1175,plain,(
% 0.20/0.51 sk1=app(app(sk7,cons(sk5,nil)),app(sk8,app(sk1,sk9)))|~spl0_89),
% 0.20/0.51 inference(component_clause,[status(thm)],[f1174])).
% 0.20/0.51 fof(f1177,plain,(
% 0.20/0.51 ~ssList(app(sk1,sk9))|~ssList(sk8)|~ssList(app(sk7,cons(sk5,nil)))|sk1=app(app(sk7,cons(sk5,nil)),app(sk8,app(sk1,sk9)))|~spl0_79),
% 0.20/0.51 inference(paramodulation,[status(thm)],[f1115,f373])).
% 0.20/0.51 fof(f1178,plain,(
% 0.20/0.51 ~spl0_88|~spl0_26|~spl0_27|spl0_89|~spl0_79),
% 0.20/0.51 inference(split_clause,[status(thm)],[f1177,f1171,f659,f662,f1174,f1114])).
% 0.20/0.51 fof(f1235,plain,(
% 0.20/0.51 ~ssList(sk9)|~ssList(sk1)|spl0_88),
% 0.20/0.51 inference(resolution,[status(thm)],[f1173,f290])).
% 0.20/0.51 fof(f1236,plain,(
% 0.20/0.51 ~spl0_7|~spl0_12|spl0_88),
% 0.20/0.51 inference(split_clause,[status(thm)],[f1235,f520,f544,f1171])).
% 0.20/0.51 fof(f1247,plain,(
% 0.20/0.51 spl0_102 <=> ssList(app(sk8,app(sk1,sk9)))),
% 0.20/0.51 introduced(split_symbol_definition)).
% 0.20/0.51 fof(f1249,plain,(
% 0.20/0.51 ~ssList(app(sk8,app(sk1,sk9)))|spl0_102),
% 0.20/0.51 inference(component_clause,[status(thm)],[f1247])).
% 0.20/0.51 fof(f1275,plain,(
% 0.20/0.51 spl0_108 <=> ~memberP(app(sk7,cons(sk5,nil)),X0)|~ssItem(X0)|memberP(sk1,X0)),
% 0.20/0.51 introduced(split_symbol_definition)).
% 0.20/0.51 fof(f1276,plain,(
% 0.20/0.51 ![X0]: (~memberP(app(sk7,cons(sk5,nil)),X0)|~ssItem(X0)|memberP(sk1,X0)|~spl0_108)),
% 0.20/0.51 inference(component_clause,[status(thm)],[f1275])).
% 0.20/0.51 fof(f1278,plain,(
% 0.20/0.51 ![X0]: (~memberP(app(sk7,cons(sk5,nil)),X0)|~ssList(app(sk8,app(sk1,sk9)))|~ssList(app(sk7,cons(sk5,nil)))|~ssItem(X0)|memberP(sk1,X0)|~spl0_89)),
% 0.20/0.51 inference(paramodulation,[status(thm)],[f1175,f359])).
% 0.20/0.51 fof(f1279,plain,(
% 0.20/0.51 spl0_108|~spl0_102|~spl0_27|~spl0_89),
% 0.20/0.51 inference(split_clause,[status(thm)],[f1278,f1275,f1247,f662,f1174])).
% 0.20/0.51 fof(f1311,plain,(
% 0.20/0.51 ~ssList(app(sk1,sk9))|~ssList(sk8)|spl0_102),
% 0.20/0.51 inference(resolution,[status(thm)],[f1249,f290])).
% 0.20/0.51 fof(f1312,plain,(
% 0.20/0.51 ~spl0_88|~spl0_26|spl0_102),
% 0.20/0.51 inference(split_clause,[status(thm)],[f1311,f1171,f659,f1247])).
% 0.20/0.51 fof(f1806,plain,(
% 0.20/0.51 spl0_160 <=> ~memberP(cons(sk5,nil),X0)|~ssItem(X0)|~ssItem(X0)|memberP(sk1,X0)),
% 0.20/0.51 introduced(split_symbol_definition)).
% 0.20/0.51 fof(f1807,plain,(
% 0.20/0.51 ![X0]: (~memberP(cons(sk5,nil),X0)|~ssItem(X0)|~ssItem(X0)|memberP(sk1,X0)|~spl0_160)),
% 0.20/0.51 inference(component_clause,[status(thm)],[f1806])).
% 0.20/0.51 fof(f1809,plain,(
% 0.20/0.51 ![X0]: (~memberP(cons(sk5,nil),X0)|~ssList(cons(sk5,nil))|~ssList(sk7)|~ssItem(X0)|~ssItem(X0)|memberP(sk1,X0)|~spl0_108)),
% 0.20/0.51 inference(resolution,[status(thm)],[f360,f1276])).
% 0.20/0.51 fof(f1810,plain,(
% 0.20/0.51 spl0_160|~spl0_28|~spl0_29|~spl0_108),
% 0.20/0.51 inference(split_clause,[status(thm)],[f1809,f1806,f667,f670,f1275])).
% 0.20/0.51 fof(f1828,plain,(
% 0.20/0.51 ![X0]: (~memberP(cons(sk5,nil),X0)|~ssItem(X0)|memberP(sk1,X0)|~spl0_160)),
% 0.20/0.51 inference(duplicate_literals_removal,[status(esa)],[f1807])).
% 0.20/0.51 fof(f1829,plain,(
% 0.20/0.51 spl0_162 <=> memberP(sk1,sk5)),
% 0.20/0.51 introduced(split_symbol_definition)).
% 0.20/0.51 fof(f1830,plain,(
% 0.20/0.51 memberP(sk1,sk5)|~spl0_162),
% 0.20/0.51 inference(component_clause,[status(thm)],[f1829])).
% 0.20/0.51 fof(f1832,plain,(
% 0.20/0.51 ~ssItem(sk5)|memberP(sk1,sk5)|~ssList(nil)|~ssItem(sk5)|~spl0_160),
% 0.20/0.51 inference(resolution,[status(thm)],[f1828,f495])).
% 0.20/0.51 fof(f1833,plain,(
% 0.20/0.51 ~spl0_14|spl0_162|~spl0_9|~spl0_160),
% 0.20/0.51 inference(split_clause,[status(thm)],[f1832,f589,f1829,f526,f1806])).
% 0.20/0.51 fof(f1834,plain,(
% 0.20/0.51 ~ssItem(sk5)|sk5=sk6|~spl0_162|~spl0_72|~spl0_61),
% 0.20/0.51 inference(resolution,[status(thm)],[f1830,f1092])).
% 0.20/0.51 fof(f1835,plain,(
% 0.20/0.51 ~spl0_14|spl0_23|~spl0_162|~spl0_72|~spl0_61),
% 0.20/0.51 inference(split_clause,[status(thm)],[f1834,f589,f635,f1829,f988,f913])).
% 0.20/0.51 fof(f1849,plain,(
% 0.20/0.51 ~lt(sk5,sk5)|~spl0_23|spl0_16),
% 0.20/0.51 inference(backward_demodulation,[status(thm)],[f636,f601])).
% 0.20/0.51 fof(f1850,plain,(
% 0.20/0.51 lt(sk5,sk5)|~spl0_23),
% 0.20/0.51 inference(backward_demodulation,[status(thm)],[f636,f447])).
% 0.20/0.51 fof(f1851,plain,(
% 0.20/0.51 $false|spl0_16|~spl0_23),
% 0.20/0.51 inference(forward_subsumption_resolution,[status(thm)],[f1850,f1849])).
% 0.20/0.51 fof(f1852,plain,(
% 0.20/0.51 spl0_16|~spl0_23),
% 0.20/0.51 inference(contradiction_clause,[status(thm)],[f1851])).
% 0.20/0.51 fof(f1853,plain,(
% 0.20/0.51 $false),
% 0.20/0.51 inference(sat_refutation,[status(thm)],[f471,f480,f540,f542,f548,f567,f569,f578,f598,f603,f666,f674,f676,f678,f680,f865,f917,f969,f986,f992,f1016,f1118,f1178,f1236,f1279,f1312,f1810,f1833,f1835,f1852])).
% 0.20/0.51 % SZS output end CNFRefutation for theBenchmark.p
% 0.20/0.53 % Elapsed time: 0.178532 seconds
% 0.20/0.53 % CPU time: 1.292527 seconds
% 0.20/0.53 % Total memory used: 80.721 MB
% 0.20/0.53 % Net memory used: 79.599 MB
%------------------------------------------------------------------------------