TSTP Solution File: SWC003-1 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : SWC003-1 : TPTP v8.1.2. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n011.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 12:38:49 EDT 2023
% Result : Unsatisfiable 0.20s 0.37s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : SWC003-1 : TPTP v8.1.2. Released v2.4.0.
% 0.04/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.35 % Computer : n011.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Tue May 30 11:18:57 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.20/0.36 % Drodi V3.5.1
% 0.20/0.37 % Refutation found
% 0.20/0.37 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.20/0.37 % SZS output start CNFRefutation for theBenchmark
% 0.20/0.37 fof(f8,axiom,(
% 0.20/0.37 ssList(nil) ),
% 0.20/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.37 fof(f86,axiom,(
% 0.20/0.37 (![U,V]: (( ~ ssItem(U)| ~ ssList(V)| ssList(cons(U,V)) ) ))),
% 0.20/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.37 fof(f98,axiom,(
% 0.20/0.37 (![U,V]: (( cons(U,V) != nil| ~ ssItem(U)| ~ ssList(V) ) ))),
% 0.20/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.37 fof(f100,axiom,(
% 0.20/0.37 (![U,V]: (( ~ ssList(U)| ~ ssList(V)| neq(V,U)| V = U ) ))),
% 0.20/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.37 fof(f190,negated_conjecture,(
% 0.20/0.37 sk2 = sk4 ),
% 0.20/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.37 fof(f191,negated_conjecture,(
% 0.20/0.37 sk1 = sk3 ),
% 0.20/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.37 fof(f192,negated_conjecture,(
% 0.20/0.37 ( neq(sk2,nil)| neq(sk2,nil) ) ),
% 0.20/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.37 fof(f201,negated_conjecture,(
% 0.20/0.37 (![A,B,C]: (( ~ ssList(A)| ~ ssList(B)| ~ ssList(C)| app(app(A,B),C) != sk2| app(A,C) != sk1| ~ neq(B,nil)| ~ neq(sk4,nil) ) ))),
% 0.20/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.37 fof(f202,negated_conjecture,(
% 0.20/0.37 ( ssItem(sk5)| ~ neq(sk4,nil) ) ),
% 0.20/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.37 fof(f203,negated_conjecture,(
% 0.20/0.37 ( ssList(sk6)| ~ neq(sk4,nil) ) ),
% 0.20/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.37 fof(f204,negated_conjecture,(
% 0.20/0.37 ( ssList(sk7)| ~ neq(sk4,nil) ) ),
% 0.20/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.37 fof(f205,negated_conjecture,(
% 0.20/0.37 ( app(app(sk6,cons(sk5,nil)),sk7) = sk4| ~ neq(sk4,nil) ) ),
% 0.20/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.37 fof(f206,negated_conjecture,(
% 0.20/0.37 ( app(sk6,sk7) = sk3| ~ neq(sk4,nil) ) ),
% 0.20/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.37 fof(f215,plain,(
% 0.20/0.37 ssList(nil)),
% 0.20/0.37 inference(cnf_transformation,[status(esa)],[f8])).
% 0.20/0.37 fof(f294,plain,(
% 0.20/0.37 ![X0,X1]: (~ssItem(X0)|~ssList(X1)|ssList(cons(X0,X1)))),
% 0.20/0.37 inference(cnf_transformation,[status(esa)],[f86])).
% 0.20/0.37 fof(f306,plain,(
% 0.20/0.37 ![V]: ((![U]: (~cons(U,V)=nil|~ssItem(U)))|~ssList(V))),
% 0.20/0.37 inference(miniscoping,[status(esa)],[f98])).
% 0.20/0.37 fof(f307,plain,(
% 0.20/0.37 ![X0,X1]: (~cons(X0,X1)=nil|~ssItem(X0)|~ssList(X1))),
% 0.20/0.37 inference(cnf_transformation,[status(esa)],[f306])).
% 0.20/0.37 fof(f310,plain,(
% 0.20/0.37 ![X0,X1]: (~ssList(X0)|~ssList(X1)|neq(X1,X0)|X1=X0)),
% 0.20/0.37 inference(cnf_transformation,[status(esa)],[f100])).
% 0.20/0.37 fof(f442,plain,(
% 0.20/0.37 sk2=sk4),
% 0.20/0.37 inference(cnf_transformation,[status(esa)],[f190])).
% 0.20/0.37 fof(f443,plain,(
% 0.20/0.37 sk1=sk3),
% 0.20/0.37 inference(cnf_transformation,[status(esa)],[f191])).
% 0.20/0.37 fof(f444,plain,(
% 0.20/0.37 neq(sk2,nil)|neq(sk2,nil)),
% 0.20/0.37 inference(cnf_transformation,[status(esa)],[f192])).
% 0.20/0.37 fof(f455,plain,(
% 0.20/0.37 (![B]: ((![A,C]: ((((~ssList(A)|~ssList(B))|~ssList(C))|~app(app(A,B),C)=sk2)|~app(A,C)=sk1))|~neq(B,nil)))|~neq(sk4,nil)),
% 0.20/0.37 inference(miniscoping,[status(esa)],[f201])).
% 0.20/0.37 fof(f456,plain,(
% 0.20/0.37 ![X0,X1,X2]: (~ssList(X0)|~ssList(X1)|~ssList(X2)|~app(app(X0,X1),X2)=sk2|~app(X0,X2)=sk1|~neq(X1,nil)|~neq(sk4,nil))),
% 0.20/0.37 inference(cnf_transformation,[status(esa)],[f455])).
% 0.20/0.37 fof(f457,plain,(
% 0.20/0.37 ssItem(sk5)|~neq(sk4,nil)),
% 0.20/0.37 inference(cnf_transformation,[status(esa)],[f202])).
% 0.20/0.37 fof(f458,plain,(
% 0.20/0.37 ssList(sk6)|~neq(sk4,nil)),
% 0.20/0.37 inference(cnf_transformation,[status(esa)],[f203])).
% 0.20/0.37 fof(f459,plain,(
% 0.20/0.37 ssList(sk7)|~neq(sk4,nil)),
% 0.20/0.37 inference(cnf_transformation,[status(esa)],[f204])).
% 0.20/0.37 fof(f460,plain,(
% 0.20/0.37 app(app(sk6,cons(sk5,nil)),sk7)=sk4|~neq(sk4,nil)),
% 0.20/0.37 inference(cnf_transformation,[status(esa)],[f205])).
% 0.20/0.37 fof(f461,plain,(
% 0.20/0.37 app(sk6,sk7)=sk3|~neq(sk4,nil)),
% 0.20/0.37 inference(cnf_transformation,[status(esa)],[f206])).
% 0.20/0.37 fof(f471,plain,(
% 0.20/0.37 spl0_2 <=> neq(sk2,nil)),
% 0.20/0.37 introduced(split_symbol_definition)).
% 0.20/0.37 fof(f472,plain,(
% 0.20/0.37 neq(sk2,nil)|~spl0_2),
% 0.20/0.37 inference(component_clause,[status(thm)],[f471])).
% 0.20/0.37 fof(f474,plain,(
% 0.20/0.37 spl0_2),
% 0.20/0.37 inference(split_clause,[status(thm)],[f444,f471])).
% 0.20/0.37 fof(f475,plain,(
% 0.20/0.37 spl0_3 <=> neq(sk4,nil)),
% 0.20/0.37 introduced(split_symbol_definition)).
% 0.20/0.37 fof(f477,plain,(
% 0.20/0.37 ~neq(sk4,nil)|spl0_3),
% 0.20/0.37 inference(component_clause,[status(thm)],[f475])).
% 0.20/0.37 fof(f479,plain,(
% 0.20/0.37 spl0_4 <=> ~ssList(X0)|~ssList(X1)|~ssList(X2)|~app(app(X0,X1),X2)=sk2|~app(X0,X2)=sk1|~neq(X1,nil)),
% 0.20/0.37 introduced(split_symbol_definition)).
% 0.20/0.37 fof(f480,plain,(
% 0.20/0.37 ![X0,X1,X2]: (~ssList(X0)|~ssList(X1)|~ssList(X2)|~app(app(X0,X1),X2)=sk2|~app(X0,X2)=sk1|~neq(X1,nil)|~spl0_4)),
% 0.20/0.37 inference(component_clause,[status(thm)],[f479])).
% 0.20/0.37 fof(f483,plain,(
% 0.20/0.37 spl0_5 <=> ssItem(sk5)),
% 0.20/0.37 introduced(split_symbol_definition)).
% 0.20/0.37 fof(f487,plain,(
% 0.20/0.37 spl0_6 <=> ssList(sk6)),
% 0.20/0.37 introduced(split_symbol_definition)).
% 0.20/0.37 fof(f491,plain,(
% 0.20/0.37 spl0_7 <=> ssList(sk7)),
% 0.20/0.37 introduced(split_symbol_definition)).
% 0.20/0.37 fof(f495,plain,(
% 0.20/0.37 spl0_8 <=> app(app(sk6,cons(sk5,nil)),sk7)=sk4),
% 0.20/0.37 introduced(split_symbol_definition)).
% 0.20/0.37 fof(f496,plain,(
% 0.20/0.37 app(app(sk6,cons(sk5,nil)),sk7)=sk4|~spl0_8),
% 0.20/0.37 inference(component_clause,[status(thm)],[f495])).
% 0.20/0.37 fof(f499,plain,(
% 0.20/0.37 spl0_9 <=> app(sk6,sk7)=sk3),
% 0.20/0.37 introduced(split_symbol_definition)).
% 0.20/0.37 fof(f500,plain,(
% 0.20/0.37 app(sk6,sk7)=sk3|~spl0_9),
% 0.20/0.37 inference(component_clause,[status(thm)],[f499])).
% 0.20/0.37 fof(f507,plain,(
% 0.20/0.37 spl0_4|~spl0_3),
% 0.20/0.37 inference(split_clause,[status(thm)],[f456,f479,f475])).
% 0.20/0.37 fof(f508,plain,(
% 0.20/0.37 spl0_5|~spl0_3),
% 0.20/0.37 inference(split_clause,[status(thm)],[f457,f483,f475])).
% 0.20/0.37 fof(f509,plain,(
% 0.20/0.37 spl0_6|~spl0_3),
% 0.20/0.37 inference(split_clause,[status(thm)],[f458,f487,f475])).
% 0.20/0.37 fof(f510,plain,(
% 0.20/0.37 spl0_7|~spl0_3),
% 0.20/0.37 inference(split_clause,[status(thm)],[f459,f491,f475])).
% 0.20/0.37 fof(f511,plain,(
% 0.20/0.37 spl0_8|~spl0_3),
% 0.20/0.37 inference(split_clause,[status(thm)],[f460,f495,f475])).
% 0.20/0.37 fof(f512,plain,(
% 0.20/0.37 spl0_9|~spl0_3),
% 0.20/0.37 inference(split_clause,[status(thm)],[f461,f499,f475])).
% 0.20/0.37 fof(f545,plain,(
% 0.20/0.37 ~neq(sk2,nil)|spl0_3),
% 0.20/0.37 inference(forward_demodulation,[status(thm)],[f442,f477])).
% 0.20/0.37 fof(f546,plain,(
% 0.20/0.37 spl0_11 <=> ssList(nil)),
% 0.20/0.37 introduced(split_symbol_definition)).
% 0.20/0.37 fof(f548,plain,(
% 0.20/0.37 ~ssList(nil)|spl0_11),
% 0.20/0.37 inference(component_clause,[status(thm)],[f546])).
% 0.20/0.37 fof(f559,plain,(
% 0.20/0.37 $false|spl0_11),
% 0.20/0.37 inference(forward_subsumption_resolution,[status(thm)],[f548,f215])).
% 0.20/0.37 fof(f560,plain,(
% 0.20/0.37 spl0_11),
% 0.20/0.37 inference(contradiction_clause,[status(thm)],[f559])).
% 0.20/0.37 fof(f561,plain,(
% 0.20/0.37 app(app(sk6,cons(sk5,nil)),sk7)=sk2|~spl0_8),
% 0.20/0.37 inference(forward_demodulation,[status(thm)],[f442,f496])).
% 0.20/0.37 fof(f562,plain,(
% 0.20/0.37 app(sk6,sk7)=sk1|~spl0_9),
% 0.20/0.37 inference(forward_demodulation,[status(thm)],[f443,f500])).
% 0.20/0.37 fof(f601,plain,(
% 0.20/0.37 spl0_20 <=> ssList(cons(sk5,nil))),
% 0.20/0.37 introduced(split_symbol_definition)).
% 0.20/0.37 fof(f603,plain,(
% 0.20/0.37 ~ssList(cons(sk5,nil))|spl0_20),
% 0.20/0.37 inference(component_clause,[status(thm)],[f601])).
% 0.20/0.37 fof(f604,plain,(
% 0.20/0.37 spl0_21 <=> app(sk6,sk7)=sk1),
% 0.20/0.37 introduced(split_symbol_definition)).
% 0.20/0.37 fof(f606,plain,(
% 0.20/0.37 ~app(sk6,sk7)=sk1|spl0_21),
% 0.20/0.37 inference(component_clause,[status(thm)],[f604])).
% 0.20/0.37 fof(f607,plain,(
% 0.20/0.37 spl0_22 <=> neq(cons(sk5,nil),nil)),
% 0.20/0.37 introduced(split_symbol_definition)).
% 0.20/0.37 fof(f609,plain,(
% 0.20/0.37 ~neq(cons(sk5,nil),nil)|spl0_22),
% 0.20/0.37 inference(component_clause,[status(thm)],[f607])).
% 0.20/0.37 fof(f610,plain,(
% 0.20/0.37 ~ssList(sk6)|~ssList(cons(sk5,nil))|~ssList(sk7)|~app(sk6,sk7)=sk1|~neq(cons(sk5,nil),nil)|~spl0_8|~spl0_4),
% 0.20/0.37 inference(resolution,[status(thm)],[f561,f480])).
% 0.20/0.37 fof(f611,plain,(
% 0.20/0.37 ~spl0_6|~spl0_20|~spl0_7|~spl0_21|~spl0_22|~spl0_8|~spl0_4),
% 0.20/0.37 inference(split_clause,[status(thm)],[f610,f487,f601,f491,f604,f607,f495,f479])).
% 0.20/0.37 fof(f670,plain,(
% 0.20/0.37 spl0_27 <=> cons(sk5,nil)=nil),
% 0.20/0.37 introduced(split_symbol_definition)).
% 0.20/0.37 fof(f671,plain,(
% 0.20/0.37 cons(sk5,nil)=nil|~spl0_27),
% 0.20/0.37 inference(component_clause,[status(thm)],[f670])).
% 0.20/0.37 fof(f673,plain,(
% 0.20/0.37 ~ssList(nil)|~ssList(cons(sk5,nil))|cons(sk5,nil)=nil|spl0_22),
% 0.20/0.37 inference(resolution,[status(thm)],[f609,f310])).
% 0.20/0.37 fof(f674,plain,(
% 0.20/0.37 ~spl0_11|~spl0_20|spl0_27|spl0_22),
% 0.20/0.37 inference(split_clause,[status(thm)],[f673,f546,f601,f670,f607])).
% 0.20/0.37 fof(f675,plain,(
% 0.20/0.37 ~sk1=sk1|~spl0_9|spl0_21),
% 0.20/0.37 inference(forward_demodulation,[status(thm)],[f562,f606])).
% 0.20/0.37 fof(f676,plain,(
% 0.20/0.37 $false|~spl0_9|spl0_21),
% 0.20/0.37 inference(trivial_equality_resolution,[status(esa)],[f675])).
% 0.20/0.37 fof(f677,plain,(
% 0.20/0.37 ~spl0_9|spl0_21),
% 0.20/0.37 inference(contradiction_clause,[status(thm)],[f676])).
% 0.20/0.37 fof(f707,plain,(
% 0.20/0.37 $false|~spl0_2|spl0_3),
% 0.20/0.37 inference(forward_subsumption_resolution,[status(thm)],[f545,f472])).
% 0.20/0.39 fof(f708,plain,(
% 0.20/0.39 ~spl0_2|spl0_3),
% 0.20/0.39 inference(contradiction_clause,[status(thm)],[f707])).
% 0.20/0.39 fof(f794,plain,(
% 0.20/0.39 ~ssItem(sk5)|~ssList(nil)|spl0_20),
% 0.20/0.39 inference(resolution,[status(thm)],[f603,f294])).
% 0.20/0.39 fof(f795,plain,(
% 0.20/0.39 ~spl0_5|~spl0_11|spl0_20),
% 0.20/0.39 inference(split_clause,[status(thm)],[f794,f483,f546,f601])).
% 0.20/0.39 fof(f834,plain,(
% 0.20/0.39 ~ssItem(sk5)|~ssList(nil)|~spl0_27),
% 0.20/0.39 inference(resolution,[status(thm)],[f671,f307])).
% 0.20/0.39 fof(f835,plain,(
% 0.20/0.39 ~spl0_5|~spl0_11|~spl0_27),
% 0.20/0.39 inference(split_clause,[status(thm)],[f834,f483,f546,f670])).
% 0.20/0.39 fof(f864,plain,(
% 0.20/0.39 $false),
% 0.20/0.39 inference(sat_refutation,[status(thm)],[f474,f507,f508,f509,f510,f511,f512,f560,f611,f674,f677,f708,f795,f835])).
% 0.20/0.39 % SZS output end CNFRefutation for theBenchmark.p
% 0.20/0.39 % Elapsed time: 0.036056 seconds
% 0.20/0.39 % CPU time: 0.073698 seconds
% 0.20/0.39 % Memory used: 18.333 MB
%------------------------------------------------------------------------------