TSTP Solution File: SWC008-1 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : SWC008-1 : TPTP v8.1.2. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n016.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 20:44:07 EDT 2024
% Result : Unsatisfiable 33.28s 4.61s
% Output : CNFRefutation 34.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.10 % Problem : SWC008-1 : TPTP v8.1.2. Released v2.4.0.
% 0.05/0.11 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.10/0.31 % Computer : n016.cluster.edu
% 0.10/0.31 % Model : x86_64 x86_64
% 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31 % Memory : 8042.1875MB
% 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31 % CPULimit : 300
% 0.10/0.31 % WCLimit : 300
% 0.10/0.31 % DateTime : Tue Apr 30 00:48:25 EDT 2024
% 0.10/0.31 % CPUTime :
% 0.14/0.32 % Drodi V3.6.0
% 33.28/4.61 % Refutation found
% 33.28/4.61 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 33.28/4.61 % SZS output start CNFRefutation for theBenchmark
% 33.28/4.61 fof(f8,axiom,(
% 33.28/4.61 ssList(nil) ),
% 33.28/4.61 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 33.28/4.61 fof(f51,axiom,(
% 33.28/4.61 (![U,V]: (ssList(skaf45(U,V)) ))),
% 33.28/4.61 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 33.28/4.61 fof(f73,axiom,(
% 33.28/4.61 (![U]: (( ~ ssList(U)| app(U,nil) = U ) ))),
% 33.28/4.61 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 33.28/4.61 fof(f132,axiom,(
% 33.28/4.61 (![U,V]: (( ~ frontsegP(U,V)| ~ ssList(V)| ~ ssList(U)| app(V,skaf45(U,V)) = U ) ))),
% 33.28/4.61 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 33.28/4.61 fof(f186,negated_conjecture,(
% 33.28/4.61 ssList(sk1) ),
% 33.28/4.61 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 33.28/4.61 fof(f187,negated_conjecture,(
% 33.28/4.61 ssList(sk2) ),
% 33.28/4.61 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 33.28/4.61 fof(f190,negated_conjecture,(
% 33.28/4.61 sk2 = sk4 ),
% 33.28/4.61 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 33.28/4.61 fof(f191,negated_conjecture,(
% 33.28/4.61 sk1 = sk3 ),
% 33.28/4.61 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 33.28/4.61 fof(f192,negated_conjecture,(
% 33.28/4.61 frontsegP(sk4,sk3) ),
% 33.28/4.61 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 33.28/4.61 fof(f194,negated_conjecture,(
% 33.28/4.61 (![A,B,C]: (( ~ ssList(A)| ~ ssList(B)| ~ ssList(C)| app(app(A,B),C) != sk2| app(A,C) != sk1 ) ))),
% 33.28/4.61 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 33.28/4.61 fof(f203,plain,(
% 33.28/4.61 ssList(nil)),
% 33.28/4.61 inference(cnf_transformation,[status(esa)],[f8])).
% 33.28/4.61 fof(f246,plain,(
% 33.28/4.61 ![X0,X1]: (ssList(skaf45(X0,X1)))),
% 33.28/4.61 inference(cnf_transformation,[status(esa)],[f51])).
% 33.28/4.61 fof(f269,plain,(
% 33.28/4.61 ![X0]: (~ssList(X0)|app(X0,nil)=X0)),
% 33.28/4.61 inference(cnf_transformation,[status(esa)],[f73])).
% 33.28/4.61 fof(f340,plain,(
% 33.28/4.61 ![X0,X1]: (~frontsegP(X0,X1)|~ssList(X1)|~ssList(X0)|app(X1,skaf45(X0,X1))=X0)),
% 33.28/4.61 inference(cnf_transformation,[status(esa)],[f132])).
% 33.28/4.61 fof(f426,plain,(
% 33.28/4.61 ssList(sk1)),
% 33.28/4.61 inference(cnf_transformation,[status(esa)],[f186])).
% 33.28/4.61 fof(f427,plain,(
% 33.28/4.61 ssList(sk2)),
% 33.28/4.61 inference(cnf_transformation,[status(esa)],[f187])).
% 33.28/4.61 fof(f430,plain,(
% 33.28/4.61 sk2=sk4),
% 33.28/4.61 inference(cnf_transformation,[status(esa)],[f190])).
% 33.28/4.61 fof(f431,plain,(
% 33.28/4.61 sk1=sk3),
% 33.28/4.61 inference(cnf_transformation,[status(esa)],[f191])).
% 33.28/4.61 fof(f432,plain,(
% 33.28/4.61 frontsegP(sk4,sk3)),
% 33.28/4.61 inference(cnf_transformation,[status(esa)],[f192])).
% 33.28/4.61 fof(f434,plain,(
% 33.28/4.61 ![A,C]: ((![B]: (((~ssList(A)|~ssList(B))|~ssList(C))|~app(app(A,B),C)=sk2))|~app(A,C)=sk1)),
% 33.28/4.61 inference(miniscoping,[status(esa)],[f194])).
% 33.28/4.61 fof(f435,plain,(
% 33.28/4.61 ![X0,X1,X2]: (~ssList(X0)|~ssList(X1)|~ssList(X2)|~app(app(X0,X1),X2)=sk2|~app(X0,X2)=sk1)),
% 33.28/4.61 inference(cnf_transformation,[status(esa)],[f434])).
% 33.28/4.61 fof(f475,plain,(
% 33.28/4.61 frontsegP(sk2,sk3)),
% 33.28/4.61 inference(forward_demodulation,[status(thm)],[f430,f432])).
% 33.28/4.61 fof(f476,plain,(
% 33.28/4.61 frontsegP(sk2,sk1)),
% 33.28/4.61 inference(forward_demodulation,[status(thm)],[f431,f475])).
% 33.28/4.61 fof(f774,plain,(
% 33.28/4.61 spl0_6 <=> ssList(nil)),
% 33.28/4.61 introduced(split_symbol_definition)).
% 33.28/4.61 fof(f776,plain,(
% 33.28/4.61 ~ssList(nil)|spl0_6),
% 33.28/4.61 inference(component_clause,[status(thm)],[f774])).
% 33.28/4.61 fof(f842,plain,(
% 33.28/4.61 spl0_24 <=> ssList(sk1)),
% 33.28/4.61 introduced(split_symbol_definition)).
% 33.28/4.61 fof(f844,plain,(
% 33.28/4.61 ~ssList(sk1)|spl0_24),
% 33.28/4.61 inference(component_clause,[status(thm)],[f842])).
% 33.28/4.61 fof(f861,plain,(
% 33.28/4.61 spl0_29 <=> ssList(sk2)),
% 33.28/4.61 introduced(split_symbol_definition)).
% 33.28/4.61 fof(f863,plain,(
% 33.28/4.61 ~ssList(sk2)|spl0_29),
% 33.28/4.61 inference(component_clause,[status(thm)],[f861])).
% 33.28/4.61 fof(f889,plain,(
% 33.28/4.61 $false|spl0_29),
% 33.28/4.61 inference(forward_subsumption_resolution,[status(thm)],[f863,f427])).
% 33.28/4.61 fof(f890,plain,(
% 33.28/4.61 spl0_29),
% 33.28/4.61 inference(contradiction_clause,[status(thm)],[f889])).
% 33.28/4.61 fof(f891,plain,(
% 33.28/4.61 $false|spl0_24),
% 33.28/4.61 inference(forward_subsumption_resolution,[status(thm)],[f844,f426])).
% 33.28/4.61 fof(f892,plain,(
% 33.28/4.61 spl0_24),
% 33.28/4.61 inference(contradiction_clause,[status(thm)],[f891])).
% 33.28/4.61 fof(f1056,plain,(
% 33.28/4.61 $false|spl0_6),
% 33.28/4.61 inference(forward_subsumption_resolution,[status(thm)],[f776,f203])).
% 33.28/4.61 fof(f1057,plain,(
% 33.28/4.61 spl0_6),
% 33.28/4.61 inference(contradiction_clause,[status(thm)],[f1056])).
% 33.28/4.61 fof(f2117,plain,(
% 33.28/4.61 app(sk2,nil)=sk2),
% 33.28/4.61 inference(resolution,[status(thm)],[f269,f427])).
% 33.28/4.61 fof(f2118,plain,(
% 33.28/4.61 app(sk1,nil)=sk1),
% 33.28/4.61 inference(resolution,[status(thm)],[f269,f426])).
% 34.20/4.66 fof(f2574,plain,(
% 34.20/4.66 spl0_192 <=> app(sk1,nil)=sk1),
% 34.20/4.66 introduced(split_symbol_definition)).
% 34.20/4.66 fof(f2576,plain,(
% 34.20/4.66 ~app(sk1,nil)=sk1|spl0_192),
% 34.20/4.66 inference(component_clause,[status(thm)],[f2574])).
% 34.20/4.66 fof(f6379,plain,(
% 34.20/4.66 spl0_388 <=> app(sk1,skaf45(sk2,sk1))=sk2),
% 34.20/4.66 introduced(split_symbol_definition)).
% 34.20/4.66 fof(f6380,plain,(
% 34.20/4.66 app(sk1,skaf45(sk2,sk1))=sk2|~spl0_388),
% 34.20/4.66 inference(component_clause,[status(thm)],[f6379])).
% 34.20/4.66 fof(f6382,plain,(
% 34.20/4.66 ~ssList(sk1)|~ssList(sk2)|app(sk1,skaf45(sk2,sk1))=sk2),
% 34.20/4.66 inference(resolution,[status(thm)],[f340,f476])).
% 34.20/4.66 fof(f6383,plain,(
% 34.20/4.66 ~spl0_24|~spl0_29|spl0_388),
% 34.20/4.66 inference(split_clause,[status(thm)],[f6382,f842,f861,f6379])).
% 34.20/4.66 fof(f6493,plain,(
% 34.20/4.66 spl0_409 <=> ssList(skaf45(sk2,sk1))),
% 34.20/4.66 introduced(split_symbol_definition)).
% 34.20/4.66 fof(f6495,plain,(
% 34.20/4.66 ~ssList(skaf45(sk2,sk1))|spl0_409),
% 34.20/4.66 inference(component_clause,[status(thm)],[f6493])).
% 34.20/4.66 fof(f6510,plain,(
% 34.20/4.66 spl0_412 <=> ~ssList(X0)|~app(sk2,X0)=sk2|~app(sk1,X0)=sk1),
% 34.20/4.66 introduced(split_symbol_definition)).
% 34.20/4.66 fof(f6511,plain,(
% 34.20/4.66 ![X0]: (~ssList(X0)|~app(sk2,X0)=sk2|~app(sk1,X0)=sk1|~spl0_412)),
% 34.20/4.66 inference(component_clause,[status(thm)],[f6510])).
% 34.20/4.66 fof(f6513,plain,(
% 34.20/4.66 ![X0]: (~ssList(sk1)|~ssList(skaf45(sk2,sk1))|~ssList(X0)|~app(sk2,X0)=sk2|~app(sk1,X0)=sk1|~spl0_388)),
% 34.20/4.66 inference(paramodulation,[status(thm)],[f6380,f435])).
% 34.20/4.66 fof(f6514,plain,(
% 34.20/4.66 ~spl0_24|~spl0_409|spl0_412|~spl0_388),
% 34.20/4.66 inference(split_clause,[status(thm)],[f6513,f842,f6493,f6510,f6379])).
% 34.20/4.66 fof(f6534,plain,(
% 34.20/4.66 $false|spl0_409),
% 34.20/4.66 inference(forward_subsumption_resolution,[status(thm)],[f6495,f246])).
% 34.20/4.66 fof(f6535,plain,(
% 34.20/4.66 spl0_409),
% 34.20/4.66 inference(contradiction_clause,[status(thm)],[f6534])).
% 34.20/4.66 fof(f6678,plain,(
% 34.20/4.66 ~ssList(nil)|~app(sk1,nil)=sk1|~spl0_412),
% 34.20/4.66 inference(resolution,[status(thm)],[f6511,f2117])).
% 34.20/4.66 fof(f6679,plain,(
% 34.20/4.66 ~spl0_6|~spl0_192|~spl0_412),
% 34.20/4.66 inference(split_clause,[status(thm)],[f6678,f774,f2574,f6510])).
% 34.20/4.66 fof(f6694,plain,(
% 34.20/4.66 ~sk1=sk1|spl0_192),
% 34.20/4.66 inference(forward_demodulation,[status(thm)],[f2118,f2576])).
% 34.20/4.66 fof(f6695,plain,(
% 34.20/4.66 $false|spl0_192),
% 34.20/4.66 inference(trivial_equality_resolution,[status(esa)],[f6694])).
% 34.20/4.66 fof(f6696,plain,(
% 34.20/4.66 spl0_192),
% 34.20/4.66 inference(contradiction_clause,[status(thm)],[f6695])).
% 34.20/4.66 fof(f6697,plain,(
% 34.20/4.66 $false),
% 34.20/4.66 inference(sat_refutation,[status(thm)],[f890,f892,f1057,f6383,f6514,f6535,f6679,f6696])).
% 34.20/4.66 % SZS output end CNFRefutation for theBenchmark.p
% 34.20/4.69 % Elapsed time: 4.364539 seconds
% 34.20/4.69 % CPU time: 34.285451 seconds
% 34.20/4.69 % Total memory used: 265.002 MB
% 34.20/4.69 % Net memory used: 247.745 MB
%------------------------------------------------------------------------------