TSTP Solution File: SWC316-1 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : SWC316-1 : TPTP v8.1.2. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n009.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 : Wed May 31 12:40:02 EDT 2023
% Result : Unsatisfiable 0.19s 0.40s
% Output : CNFRefutation 0.27s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SWC316-1 : TPTP v8.1.2. Released v2.4.0.
% 0.12/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.12/0.34 % Computer : n009.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Tue May 30 11:17:16 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.19/0.36 % Drodi V3.5.1
% 0.19/0.40 % Refutation found
% 0.19/0.40 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.19/0.40 % SZS output start CNFRefutation for theBenchmark
% 0.19/0.40 fof(f8,axiom,(
% 0.19/0.40 ssList(nil) ),
% 0.19/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.19/0.40 fof(f50,axiom,(
% 0.19/0.40 (![U,V]: (ssList(skaf46(U,V)) ))),
% 0.19/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.19/0.40 fof(f85,axiom,(
% 0.19/0.40 (![U,V]: (( ~ ssList(U)| ~ ssList(V)| ssList(app(V,U)) ) ))),
% 0.19/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.19/0.40 fof(f86,axiom,(
% 0.19/0.40 (![U,V]: (( ~ ssItem(U)| ~ ssList(V)| ssList(cons(U,V)) ) ))),
% 0.19/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.19/0.40 fof(f96,axiom,(
% 0.19/0.40 (![U,V]: (( ~ ssItem(U)| ~ ssList(V)| tl(cons(U,V)) = V ) ))),
% 0.19/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.19/0.40 fof(f97,axiom,(
% 0.19/0.40 (![U,V]: (( ~ ssItem(U)| ~ ssList(V)| hd(cons(U,V)) = U ) ))),
% 0.19/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.19/0.40 fof(f98,axiom,(
% 0.19/0.40 (![U,V]: (( cons(U,V) != nil| ~ ssItem(U)| ~ ssList(V) ) ))),
% 0.19/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.19/0.40 fof(f100,axiom,(
% 0.19/0.40 (![U,V]: (( ~ ssList(U)| ~ ssList(V)| neq(V,U)| V = U ) ))),
% 0.19/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.19/0.40 fof(f120,axiom,(
% 0.19/0.40 (![U,V]: (( ~ ssItem(U)| ~ ssList(V)| app(cons(U,nil),V) = cons(U,V) ) ))),
% 0.19/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.19/0.40 fof(f187,negated_conjecture,(
% 0.19/0.40 ssList(sk2) ),
% 0.19/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.19/0.40 fof(f190,negated_conjecture,(
% 0.19/0.40 sk2 = sk4 ),
% 0.19/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.19/0.40 fof(f191,negated_conjecture,(
% 0.19/0.40 sk1 = sk3 ),
% 0.19/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.19/0.40 fof(f192,negated_conjecture,(
% 0.19/0.40 ( neq(sk2,nil)| neq(sk2,nil) ) ),
% 0.19/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.19/0.40 fof(f199,negated_conjecture,(
% 0.19/0.40 ( ssItem(sk5)| ~ neq(sk4,nil) ) ),
% 0.19/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.19/0.40 fof(f200,negated_conjecture,(
% 0.19/0.40 ( ssList(sk6)| ~ neq(sk4,nil) ) ),
% 0.19/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.19/0.40 fof(f201,negated_conjecture,(
% 0.19/0.40 ( app(cons(sk5,nil),sk6) = sk3| ~ neq(sk4,nil) ) ),
% 0.19/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.19/0.40 fof(f202,negated_conjecture,(
% 0.19/0.40 ( app(sk6,cons(sk5,nil)) = sk4| ~ neq(sk4,nil) ) ),
% 0.19/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.19/0.40 fof(f203,negated_conjecture,(
% 0.19/0.40 (![A,B,C,D]: (( ~ ssList(A)| sk2 != A| ~ ssList(B)| ~ ssList(C)| tl(sk1) != B| app(B,C) != A| ~ ssItem(D)| cons(D,nil) != C| hd(sk1) != D| ~ neq(nil,sk1)| ~ neq(nil,sk1)| ~ neq(sk1,nil)| ~ neq(sk4,nil) ) ))),
% 0.19/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.19/0.40 fof(f211,plain,(
% 0.19/0.40 ssList(nil)),
% 0.19/0.40 inference(cnf_transformation,[status(esa)],[f8])).
% 0.19/0.40 fof(f253,plain,(
% 0.19/0.40 ![X0,X1]: (ssList(skaf46(X0,X1)))),
% 0.19/0.40 inference(cnf_transformation,[status(esa)],[f50])).
% 0.19/0.40 fof(f289,plain,(
% 0.19/0.40 ![X0,X1]: (~ssList(X0)|~ssList(X1)|ssList(app(X1,X0)))),
% 0.19/0.40 inference(cnf_transformation,[status(esa)],[f85])).
% 0.19/0.40 fof(f290,plain,(
% 0.19/0.40 ![X0,X1]: (~ssItem(X0)|~ssList(X1)|ssList(cons(X0,X1)))),
% 0.19/0.40 inference(cnf_transformation,[status(esa)],[f86])).
% 0.19/0.40 fof(f300,plain,(
% 0.19/0.40 ![X0,X1]: (~ssItem(X0)|~ssList(X1)|tl(cons(X0,X1))=X1)),
% 0.19/0.40 inference(cnf_transformation,[status(esa)],[f96])).
% 0.19/0.40 fof(f301,plain,(
% 0.19/0.40 ![X0,X1]: (~ssItem(X0)|~ssList(X1)|hd(cons(X0,X1))=X0)),
% 0.19/0.40 inference(cnf_transformation,[status(esa)],[f97])).
% 0.19/0.40 fof(f302,plain,(
% 0.19/0.40 ![V]: ((![U]: (~cons(U,V)=nil|~ssItem(U)))|~ssList(V))),
% 0.19/0.40 inference(miniscoping,[status(esa)],[f98])).
% 0.19/0.40 fof(f303,plain,(
% 0.19/0.40 ![X0,X1]: (~cons(X0,X1)=nil|~ssItem(X0)|~ssList(X1))),
% 0.19/0.40 inference(cnf_transformation,[status(esa)],[f302])).
% 0.19/0.40 fof(f306,plain,(
% 0.19/0.40 ![X0,X1]: (~ssList(X0)|~ssList(X1)|neq(X1,X0)|X1=X0)),
% 0.19/0.40 inference(cnf_transformation,[status(esa)],[f100])).
% 0.19/0.40 fof(f334,plain,(
% 0.19/0.40 ![X0,X1]: (~ssItem(X0)|~ssList(X1)|app(cons(X0,nil),X1)=cons(X0,X1))),
% 0.19/0.40 inference(cnf_transformation,[status(esa)],[f120])).
% 0.19/0.40 fof(f435,plain,(
% 0.19/0.40 ssList(sk2)),
% 0.19/0.40 inference(cnf_transformation,[status(esa)],[f187])).
% 0.19/0.40 fof(f438,plain,(
% 0.19/0.40 sk2=sk4),
% 0.19/0.40 inference(cnf_transformation,[status(esa)],[f190])).
% 0.19/0.40 fof(f439,plain,(
% 0.19/0.40 sk1=sk3),
% 0.19/0.40 inference(cnf_transformation,[status(esa)],[f191])).
% 0.19/0.40 fof(f440,plain,(
% 0.19/0.40 neq(sk2,nil)|neq(sk2,nil)),
% 0.19/0.40 inference(cnf_transformation,[status(esa)],[f192])).
% 0.19/0.40 fof(f448,plain,(
% 0.19/0.40 ssItem(sk5)|~neq(sk4,nil)),
% 0.19/0.40 inference(cnf_transformation,[status(esa)],[f199])).
% 0.19/0.40 fof(f449,plain,(
% 0.19/0.40 ssList(sk6)|~neq(sk4,nil)),
% 0.19/0.40 inference(cnf_transformation,[status(esa)],[f200])).
% 0.19/0.40 fof(f450,plain,(
% 0.19/0.40 app(cons(sk5,nil),sk6)=sk3|~neq(sk4,nil)),
% 0.19/0.40 inference(cnf_transformation,[status(esa)],[f201])).
% 0.19/0.40 fof(f451,plain,(
% 0.19/0.40 app(sk6,cons(sk5,nil))=sk4|~neq(sk4,nil)),
% 0.19/0.40 inference(cnf_transformation,[status(esa)],[f202])).
% 0.19/0.40 fof(f452,plain,(
% 0.19/0.40 ((((![D]: ((![C]: (((![A,B]: (((((~ssList(A)|~sk2=A)|~ssList(B))|~ssList(C))|~tl(sk1)=B)|~app(B,C)=A))|~ssItem(D))|~cons(D,nil)=C))|~hd(sk1)=D))|~neq(nil,sk1))|~neq(nil,sk1))|~neq(sk1,nil))|~neq(sk4,nil)),
% 0.19/0.40 inference(miniscoping,[status(esa)],[f203])).
% 0.19/0.40 fof(f453,plain,(
% 0.19/0.40 ![X0,X1,X2,X3]: (~ssList(X0)|~sk2=X0|~ssList(X1)|~ssList(X2)|~tl(sk1)=X1|~app(X1,X2)=X0|~ssItem(X3)|~cons(X3,nil)=X2|~hd(sk1)=X3|~neq(nil,sk1)|~neq(nil,sk1)|~neq(sk1,nil)|~neq(sk4,nil))),
% 0.19/0.40 inference(cnf_transformation,[status(esa)],[f452])).
% 0.19/0.40 fof(f461,plain,(
% 0.19/0.40 spl0_2 <=> neq(sk2,nil)),
% 0.19/0.40 introduced(split_symbol_definition)).
% 0.19/0.40 fof(f462,plain,(
% 0.19/0.40 neq(sk2,nil)|~spl0_2),
% 0.19/0.40 inference(component_clause,[status(thm)],[f461])).
% 0.19/0.40 fof(f464,plain,(
% 0.19/0.40 spl0_2),
% 0.19/0.40 inference(split_clause,[status(thm)],[f440,f461])).
% 0.19/0.40 fof(f465,plain,(
% 0.19/0.40 spl0_3 <=> neq(sk4,nil)),
% 0.19/0.40 introduced(split_symbol_definition)).
% 0.19/0.40 fof(f467,plain,(
% 0.19/0.40 ~neq(sk4,nil)|spl0_3),
% 0.19/0.40 inference(component_clause,[status(thm)],[f465])).
% 0.19/0.40 fof(f469,plain,(
% 0.19/0.40 spl0_4 <=> ssItem(sk5)),
% 0.19/0.40 introduced(split_symbol_definition)).
% 0.19/0.40 fof(f470,plain,(
% 0.19/0.40 ssItem(sk5)|~spl0_4),
% 0.19/0.40 inference(component_clause,[status(thm)],[f469])).
% 0.19/0.40 fof(f473,plain,(
% 0.19/0.40 spl0_5 <=> ssList(sk6)),
% 0.19/0.40 introduced(split_symbol_definition)).
% 0.19/0.40 fof(f474,plain,(
% 0.19/0.40 ssList(sk6)|~spl0_5),
% 0.19/0.40 inference(component_clause,[status(thm)],[f473])).
% 0.19/0.40 fof(f477,plain,(
% 0.19/0.40 spl0_6 <=> app(cons(sk5,nil),sk6)=sk3),
% 0.19/0.40 introduced(split_symbol_definition)).
% 0.19/0.40 fof(f478,plain,(
% 0.19/0.40 app(cons(sk5,nil),sk6)=sk3|~spl0_6),
% 0.19/0.40 inference(component_clause,[status(thm)],[f477])).
% 0.19/0.40 fof(f481,plain,(
% 0.19/0.40 spl0_7 <=> app(sk6,cons(sk5,nil))=sk4),
% 0.19/0.40 introduced(split_symbol_definition)).
% 0.19/0.40 fof(f482,plain,(
% 0.19/0.40 app(sk6,cons(sk5,nil))=sk4|~spl0_7),
% 0.19/0.40 inference(component_clause,[status(thm)],[f481])).
% 0.19/0.40 fof(f485,plain,(
% 0.19/0.40 spl0_8 <=> ~ssList(X0)|~sk2=X0|~ssList(X1)|~ssList(X2)|~tl(sk1)=X1|~app(X1,X2)=X0|~ssItem(X3)|~cons(X3,nil)=X2|~hd(sk1)=X3),
% 0.19/0.40 introduced(split_symbol_definition)).
% 0.19/0.40 fof(f486,plain,(
% 0.19/0.40 ![X0,X1,X2,X3]: (~ssList(X0)|~sk2=X0|~ssList(X1)|~ssList(X2)|~tl(sk1)=X1|~app(X1,X2)=X0|~ssItem(X3)|~cons(X3,nil)=X2|~hd(sk1)=X3|~spl0_8)),
% 0.19/0.40 inference(component_clause,[status(thm)],[f485])).
% 0.19/0.40 fof(f488,plain,(
% 0.19/0.40 spl0_9 <=> neq(nil,sk1)),
% 0.19/0.40 introduced(split_symbol_definition)).
% 0.19/0.40 fof(f490,plain,(
% 0.19/0.40 ~neq(nil,sk1)|spl0_9),
% 0.19/0.40 inference(component_clause,[status(thm)],[f488])).
% 0.19/0.40 fof(f491,plain,(
% 0.19/0.40 spl0_10 <=> neq(sk1,nil)),
% 0.19/0.40 introduced(split_symbol_definition)).
% 0.19/0.40 fof(f493,plain,(
% 0.19/0.40 ~neq(sk1,nil)|spl0_10),
% 0.19/0.40 inference(component_clause,[status(thm)],[f491])).
% 0.19/0.40 fof(f495,plain,(
% 0.19/0.40 spl0_4|~spl0_3),
% 0.19/0.40 inference(split_clause,[status(thm)],[f448,f469,f465])).
% 0.19/0.40 fof(f496,plain,(
% 0.19/0.40 spl0_5|~spl0_3),
% 0.19/0.40 inference(split_clause,[status(thm)],[f449,f473,f465])).
% 0.19/0.40 fof(f497,plain,(
% 0.19/0.40 spl0_6|~spl0_3),
% 0.19/0.40 inference(split_clause,[status(thm)],[f450,f477,f465])).
% 0.19/0.40 fof(f498,plain,(
% 0.19/0.40 spl0_7|~spl0_3),
% 0.19/0.40 inference(split_clause,[status(thm)],[f451,f481,f465])).
% 0.19/0.40 fof(f499,plain,(
% 0.19/0.40 spl0_8|~spl0_9|~spl0_10|~spl0_3),
% 0.19/0.40 inference(split_clause,[status(thm)],[f453,f485,f488,f491,f465])).
% 0.19/0.40 fof(f531,plain,(
% 0.19/0.40 ~neq(sk2,nil)|spl0_3),
% 0.19/0.40 inference(forward_demodulation,[status(thm)],[f438,f467])).
% 0.19/0.40 fof(f532,plain,(
% 0.19/0.40 $false|spl0_3|~spl0_2),
% 0.19/0.40 inference(forward_subsumption_resolution,[status(thm)],[f462,f531])).
% 0.19/0.40 fof(f533,plain,(
% 0.19/0.40 spl0_3|~spl0_2),
% 0.19/0.40 inference(contradiction_clause,[status(thm)],[f532])).
% 0.19/0.40 fof(f534,plain,(
% 0.19/0.40 app(cons(sk5,nil),sk6)=sk1|~spl0_6),
% 0.19/0.40 inference(forward_demodulation,[status(thm)],[f439,f478])).
% 0.19/0.40 fof(f535,plain,(
% 0.19/0.40 app(sk6,cons(sk5,nil))=sk2|~spl0_7),
% 0.19/0.40 inference(forward_demodulation,[status(thm)],[f438,f482])).
% 0.19/0.40 fof(f537,plain,(
% 0.19/0.40 spl0_11 <=> ssList(cons(sk5,nil))),
% 0.19/0.40 introduced(split_symbol_definition)).
% 0.19/0.40 fof(f538,plain,(
% 0.19/0.40 ssList(cons(sk5,nil))|~spl0_11),
% 0.19/0.40 inference(component_clause,[status(thm)],[f537])).
% 0.19/0.40 fof(f539,plain,(
% 0.19/0.40 ~ssList(cons(sk5,nil))|spl0_11),
% 0.19/0.40 inference(component_clause,[status(thm)],[f537])).
% 0.19/0.40 fof(f540,plain,(
% 0.19/0.40 spl0_12 <=> ssList(sk1)),
% 0.19/0.40 introduced(split_symbol_definition)).
% 0.19/0.40 fof(f543,plain,(
% 0.19/0.40 ~ssList(sk6)|~ssList(cons(sk5,nil))|ssList(sk1)|~spl0_6),
% 0.19/0.40 inference(paramodulation,[status(thm)],[f534,f289])).
% 0.19/0.40 fof(f544,plain,(
% 0.19/0.40 ~spl0_5|~spl0_11|spl0_12|~spl0_6),
% 0.19/0.40 inference(split_clause,[status(thm)],[f543,f473,f537,f540,f477])).
% 0.19/0.40 fof(f545,plain,(
% 0.19/0.40 spl0_13 <=> ssList(nil)),
% 0.19/0.40 introduced(split_symbol_definition)).
% 0.19/0.40 fof(f547,plain,(
% 0.19/0.40 ~ssList(nil)|spl0_13),
% 0.19/0.40 inference(component_clause,[status(thm)],[f545])).
% 0.19/0.40 fof(f548,plain,(
% 0.19/0.40 ~ssItem(sk5)|~ssList(nil)|spl0_11),
% 0.19/0.40 inference(resolution,[status(thm)],[f539,f290])).
% 0.19/0.40 fof(f549,plain,(
% 0.19/0.40 ~spl0_4|~spl0_13|spl0_11),
% 0.19/0.40 inference(split_clause,[status(thm)],[f548,f469,f545,f537])).
% 0.19/0.40 fof(f550,plain,(
% 0.19/0.40 $false|spl0_13),
% 0.19/0.40 inference(forward_subsumption_resolution,[status(thm)],[f547,f211])).
% 0.19/0.40 fof(f551,plain,(
% 0.19/0.40 spl0_13),
% 0.19/0.40 inference(contradiction_clause,[status(thm)],[f550])).
% 0.19/0.40 fof(f583,plain,(
% 0.19/0.40 spl0_17 <=> sk1=nil),
% 0.19/0.40 introduced(split_symbol_definition)).
% 0.19/0.40 fof(f586,plain,(
% 0.19/0.40 ~ssList(nil)|~ssList(sk1)|sk1=nil|spl0_10),
% 0.19/0.40 inference(resolution,[status(thm)],[f306,f493])).
% 0.19/0.40 fof(f587,plain,(
% 0.19/0.40 ~spl0_13|~spl0_12|spl0_17|spl0_10),
% 0.19/0.40 inference(split_clause,[status(thm)],[f586,f545,f540,f583,f491])).
% 0.19/0.40 fof(f588,plain,(
% 0.19/0.40 ~ssList(sk1)|~ssList(nil)|nil=sk1|spl0_9),
% 0.19/0.40 inference(resolution,[status(thm)],[f490,f306])).
% 0.19/0.40 fof(f589,plain,(
% 0.19/0.40 ~spl0_12|~spl0_13|spl0_17|spl0_9),
% 0.19/0.40 inference(split_clause,[status(thm)],[f588,f540,f545,f583,f488])).
% 0.19/0.40 fof(f630,plain,(
% 0.19/0.40 ~ssList(sk2)|~ssList(tl(sk1))|~ssList(cons(hd(sk1),nil))|~app(tl(sk1),cons(hd(sk1),nil))=sk2|~ssItem(hd(sk1))|~spl0_8),
% 0.19/0.40 inference(destructive_equality_resolution,[status(esa)],[f486])).
% 0.19/0.40 fof(f631,plain,(
% 0.19/0.40 ~ssList(tl(sk1))|~ssList(cons(hd(sk1),nil))|~app(tl(sk1),cons(hd(sk1),nil))=sk2|~ssItem(hd(sk1))|~spl0_8),
% 0.19/0.40 inference(forward_subsumption_resolution,[status(thm)],[f630,f435])).
% 0.19/0.40 fof(f695,plain,(
% 0.19/0.40 spl0_32 <=> ~ssList(X1)|~ssList(X1)),
% 0.19/0.40 introduced(split_symbol_definition)).
% 0.19/0.40 fof(f696,plain,(
% 0.19/0.40 ![X0]: (~ssList(X0)|~ssList(X0)|~spl0_32)),
% 0.19/0.40 inference(component_clause,[status(thm)],[f695])).
% 0.19/0.40 fof(f811,plain,(
% 0.19/0.40 spl0_49 <=> sk1=cons(sk5,sk6)),
% 0.19/0.40 introduced(split_symbol_definition)).
% 0.19/0.40 fof(f812,plain,(
% 0.19/0.40 sk1=cons(sk5,sk6)|~spl0_49),
% 0.19/0.40 inference(component_clause,[status(thm)],[f811])).
% 0.19/0.40 fof(f909,plain,(
% 0.19/0.40 spl0_63 <=> ssList(tl(sk1))),
% 0.19/0.40 introduced(split_symbol_definition)).
% 0.19/0.40 fof(f911,plain,(
% 0.19/0.40 ~ssList(tl(sk1))|spl0_63),
% 0.19/0.40 inference(component_clause,[status(thm)],[f909])).
% 0.19/0.40 fof(f912,plain,(
% 0.19/0.40 spl0_64 <=> ssList(cons(hd(sk1),nil))),
% 0.19/0.40 introduced(split_symbol_definition)).
% 0.19/0.40 fof(f914,plain,(
% 0.19/0.40 ~ssList(cons(hd(sk1),nil))|spl0_64),
% 0.19/0.40 inference(component_clause,[status(thm)],[f912])).
% 0.19/0.40 fof(f915,plain,(
% 0.19/0.40 spl0_65 <=> app(tl(sk1),cons(hd(sk1),nil))=sk2),
% 0.19/0.40 introduced(split_symbol_definition)).
% 0.19/0.40 fof(f917,plain,(
% 0.19/0.40 ~app(tl(sk1),cons(hd(sk1),nil))=sk2|spl0_65),
% 0.19/0.40 inference(component_clause,[status(thm)],[f915])).
% 0.19/0.40 fof(f918,plain,(
% 0.19/0.40 spl0_66 <=> ssItem(hd(sk1))),
% 0.19/0.40 introduced(split_symbol_definition)).
% 0.19/0.40 fof(f920,plain,(
% 0.19/0.40 ~ssItem(hd(sk1))|spl0_66),
% 0.19/0.40 inference(component_clause,[status(thm)],[f918])).
% 0.19/0.40 fof(f921,plain,(
% 0.19/0.40 ~spl0_63|~spl0_64|~spl0_65|~spl0_66|~spl0_8),
% 0.19/0.40 inference(split_clause,[status(thm)],[f631,f909,f912,f915,f918,f485])).
% 0.19/0.40 fof(f959,plain,(
% 0.19/0.40 spl0_68 <=> tl(sk1)=sk6),
% 0.19/0.40 introduced(split_symbol_definition)).
% 0.19/0.40 fof(f960,plain,(
% 0.19/0.40 tl(sk1)=sk6|~spl0_68),
% 0.19/0.40 inference(component_clause,[status(thm)],[f959])).
% 0.19/0.40 fof(f1033,plain,(
% 0.19/0.40 ~ssItem(sk5)|~ssList(sk6)|sk1=cons(sk5,sk6)|~spl0_6),
% 0.19/0.40 inference(paramodulation,[status(thm)],[f534,f334])).
% 0.19/0.40 fof(f1034,plain,(
% 0.19/0.40 ~spl0_4|~spl0_5|spl0_49|~spl0_6),
% 0.19/0.40 inference(split_clause,[status(thm)],[f1033,f469,f473,f811,f477])).
% 0.19/0.40 fof(f1049,plain,(
% 0.19/0.40 ![X0]: (~ssList(X0)|~spl0_32)),
% 0.27/0.64 inference(duplicate_literals_removal,[status(esa)],[f696])).
% 0.27/0.64 fof(f1071,plain,(
% 0.27/0.64 spl0_76 <=> sk2=sk2),
% 0.27/0.64 introduced(split_symbol_definition)).
% 0.27/0.64 fof(f1073,plain,(
% 0.27/0.64 ~sk2=sk2|spl0_76),
% 0.27/0.64 inference(component_clause,[status(thm)],[f1071])).
% 0.27/0.64 fof(f1076,plain,(
% 0.27/0.64 $false|spl0_76),
% 0.27/0.64 inference(trivial_equality_resolution,[status(esa)],[f1073])).
% 0.27/0.64 fof(f1077,plain,(
% 0.27/0.64 spl0_76),
% 0.27/0.64 inference(contradiction_clause,[status(thm)],[f1076])).
% 0.27/0.64 fof(f1078,plain,(
% 0.27/0.64 $false|~spl0_32),
% 0.27/0.64 inference(backward_subsumption_resolution,[status(thm)],[f253,f1049])).
% 0.27/0.64 fof(f1079,plain,(
% 0.27/0.64 ~spl0_32),
% 0.27/0.64 inference(contradiction_clause,[status(thm)],[f1078])).
% 0.27/0.64 fof(f1101,plain,(
% 0.27/0.64 spl0_80 <=> sk1=sk1),
% 0.27/0.64 introduced(split_symbol_definition)).
% 0.27/0.64 fof(f1103,plain,(
% 0.27/0.64 ~sk1=sk1|spl0_80),
% 0.27/0.64 inference(component_clause,[status(thm)],[f1101])).
% 0.27/0.64 fof(f1106,plain,(
% 0.27/0.64 $false|spl0_80),
% 0.27/0.64 inference(trivial_equality_resolution,[status(esa)],[f1103])).
% 0.27/0.64 fof(f1107,plain,(
% 0.27/0.64 spl0_80),
% 0.27/0.64 inference(contradiction_clause,[status(thm)],[f1106])).
% 0.27/0.64 fof(f1128,plain,(
% 0.27/0.64 ~sk1=nil|~ssItem(sk5)|~ssList(sk6)|~spl0_49),
% 0.27/0.64 inference(paramodulation,[status(thm)],[f812,f303])).
% 0.27/0.64 fof(f1129,plain,(
% 0.27/0.64 ~spl0_17|~spl0_4|~spl0_5|~spl0_49),
% 0.27/0.64 inference(split_clause,[status(thm)],[f1128,f583,f469,f473,f811])).
% 0.27/0.64 fof(f1135,plain,(
% 0.27/0.64 ~ssItem(sk5)|~ssList(sk6)|tl(sk1)=sk6|~spl0_49),
% 0.27/0.64 inference(paramodulation,[status(thm)],[f812,f300])).
% 0.27/0.64 fof(f1136,plain,(
% 0.27/0.64 ~spl0_4|~spl0_5|spl0_68|~spl0_49),
% 0.27/0.64 inference(split_clause,[status(thm)],[f1135,f469,f473,f959,f811])).
% 0.27/0.64 fof(f1137,plain,(
% 0.27/0.64 spl0_82 <=> hd(sk1)=sk5),
% 0.27/0.64 introduced(split_symbol_definition)).
% 0.27/0.64 fof(f1138,plain,(
% 0.27/0.64 hd(sk1)=sk5|~spl0_82),
% 0.27/0.64 inference(component_clause,[status(thm)],[f1137])).
% 0.27/0.64 fof(f1140,plain,(
% 0.27/0.64 ~ssItem(sk5)|~ssList(sk6)|hd(sk1)=sk5|~spl0_49),
% 0.27/0.64 inference(paramodulation,[status(thm)],[f812,f301])).
% 0.27/0.64 fof(f1141,plain,(
% 0.27/0.64 ~spl0_4|~spl0_5|spl0_82|~spl0_49),
% 0.27/0.64 inference(split_clause,[status(thm)],[f1140,f469,f473,f1137,f811])).
% 0.27/0.64 fof(f1189,plain,(
% 0.27/0.64 ~app(tl(sk1),cons(sk5,nil))=sk2|~spl0_82|spl0_65),
% 0.27/0.64 inference(backward_demodulation,[status(thm)],[f1138,f917])).
% 0.27/0.64 fof(f1234,plain,(
% 0.27/0.64 ~app(sk6,cons(sk5,nil))=sk2|~spl0_68|~spl0_82|spl0_65),
% 0.27/0.64 inference(forward_demodulation,[status(thm)],[f960,f1189])).
% 0.27/0.64 fof(f1235,plain,(
% 0.27/0.64 ~sk2=sk2|~spl0_7|~spl0_68|~spl0_82|spl0_65),
% 0.27/0.64 inference(forward_demodulation,[status(thm)],[f535,f1234])).
% 0.27/0.64 fof(f1236,plain,(
% 0.27/0.64 $false|~spl0_7|~spl0_68|~spl0_82|spl0_65),
% 0.27/0.64 inference(trivial_equality_resolution,[status(esa)],[f1235])).
% 0.27/0.64 fof(f1237,plain,(
% 0.27/0.64 ~spl0_7|~spl0_68|~spl0_82|spl0_65),
% 0.27/0.64 inference(contradiction_clause,[status(thm)],[f1236])).
% 0.27/0.64 fof(f1238,plain,(
% 0.27/0.64 ~ssList(cons(sk5,nil))|~spl0_82|spl0_64),
% 0.27/0.64 inference(forward_demodulation,[status(thm)],[f1138,f914])).
% 0.27/0.64 fof(f1239,plain,(
% 0.27/0.64 $false|~spl0_11|~spl0_82|spl0_64),
% 0.27/0.64 inference(forward_subsumption_resolution,[status(thm)],[f1238,f538])).
% 0.27/0.64 fof(f1240,plain,(
% 0.27/0.64 ~spl0_11|~spl0_82|spl0_64),
% 0.27/0.64 inference(contradiction_clause,[status(thm)],[f1239])).
% 0.27/0.64 fof(f1243,plain,(
% 0.27/0.64 ~ssList(sk6)|~spl0_68|spl0_63),
% 0.27/0.64 inference(forward_demodulation,[status(thm)],[f960,f911])).
% 0.27/0.64 fof(f1244,plain,(
% 0.27/0.64 $false|~spl0_5|~spl0_68|spl0_63),
% 0.27/0.64 inference(forward_subsumption_resolution,[status(thm)],[f1243,f474])).
% 0.27/0.64 fof(f1245,plain,(
% 0.27/0.64 ~spl0_5|~spl0_68|spl0_63),
% 0.27/0.64 inference(contradiction_clause,[status(thm)],[f1244])).
% 0.27/0.64 fof(f1246,plain,(
% 0.27/0.64 ~ssItem(sk5)|~spl0_82|spl0_66),
% 0.27/0.64 inference(forward_demodulation,[status(thm)],[f1138,f920])).
% 0.27/0.64 fof(f1247,plain,(
% 0.27/0.64 $false|~spl0_4|~spl0_82|spl0_66),
% 0.27/0.64 inference(forward_subsumption_resolution,[status(thm)],[f1246,f470])).
% 0.27/0.64 fof(f1248,plain,(
% 0.27/0.64 ~spl0_4|~spl0_82|spl0_66),
% 0.27/0.64 inference(contradiction_clause,[status(thm)],[f1247])).
% 0.27/0.64 fof(f1249,plain,(
% 0.27/0.64 $false),
% 0.27/0.64 inference(sat_refutation,[status(thm)],[f464,f495,f496,f497,f498,f499,f533,f544,f549,f551,f587,f589,f921,f1034,f1077,f1079,f1107,f1129,f1136,f1141,f1237,f1240,f1245,f1248])).
% 0.27/0.64 % SZS output end CNFRefutation for theBenchmark.p
% 0.27/0.64 % Elapsed time: 0.076304 seconds
% 0.27/0.64 % CPU time: 0.119662 seconds
% 0.27/0.64 % Memory used: 16.554 MB
%------------------------------------------------------------------------------