TSTP Solution File: SWC381-1 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : SWC381-1 : 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 : Wed May 31 12:40:16 EDT 2023
% Result : Unsatisfiable 0.15s 0.32s
% Output : CNFRefutation 0.15s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : SWC381-1 : TPTP v8.1.2. Released v2.4.0.
% 0.00/0.10 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.09/0.30 % Computer : n023.cluster.edu
% 0.09/0.30 % Model : x86_64 x86_64
% 0.09/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.30 % Memory : 8042.1875MB
% 0.09/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.30 % CPULimit : 300
% 0.09/0.30 % WCLimit : 300
% 0.09/0.30 % DateTime : Tue May 30 11:39:38 EDT 2023
% 0.09/0.30 % CPUTime :
% 0.15/0.31 % Drodi V3.5.1
% 0.15/0.32 % Refutation found
% 0.15/0.32 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.15/0.32 % SZS output start CNFRefutation for theBenchmark
% 0.15/0.32 fof(f8,axiom,(
% 0.15/0.32 ssList(nil) ),
% 0.15/0.32 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.32 fof(f187,negated_conjecture,(
% 0.15/0.32 ssList(sk2) ),
% 0.15/0.32 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.32 fof(f190,negated_conjecture,(
% 0.15/0.32 sk2 = sk4 ),
% 0.15/0.32 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.32 fof(f191,negated_conjecture,(
% 0.15/0.32 sk1 = sk3 ),
% 0.15/0.32 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.32 fof(f192,negated_conjecture,(
% 0.15/0.32 ( neq(sk2,nil)| neq(sk2,nil) ) ),
% 0.15/0.32 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.32 fof(f198,negated_conjecture,(
% 0.15/0.32 (![A]: (( ~ ssItem(A)| cons(A,nil) != sk1| ~ memberP(sk2,A)| ~ neq(sk4,nil) ) ))),
% 0.15/0.32 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.32 fof(f199,negated_conjecture,(
% 0.15/0.32 ( ssItem(sk5)| ~ neq(sk4,nil) ) ),
% 0.15/0.32 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.32 fof(f200,negated_conjecture,(
% 0.15/0.32 ( cons(sk5,nil) = sk3| ~ neq(sk4,nil) ) ),
% 0.15/0.32 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.32 fof(f201,negated_conjecture,(
% 0.15/0.32 ( memberP(sk4,sk5)| ~ neq(sk4,nil) ) ),
% 0.15/0.32 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.32 fof(f209,plain,(
% 0.15/0.32 ssList(nil)),
% 0.15/0.32 inference(cnf_transformation,[status(esa)],[f8])).
% 0.15/0.32 fof(f433,plain,(
% 0.15/0.32 ssList(sk2)),
% 0.15/0.32 inference(cnf_transformation,[status(esa)],[f187])).
% 0.15/0.32 fof(f436,plain,(
% 0.15/0.32 sk2=sk4),
% 0.15/0.32 inference(cnf_transformation,[status(esa)],[f190])).
% 0.15/0.32 fof(f437,plain,(
% 0.15/0.32 sk1=sk3),
% 0.15/0.32 inference(cnf_transformation,[status(esa)],[f191])).
% 0.15/0.32 fof(f438,plain,(
% 0.15/0.32 neq(sk2,nil)|neq(sk2,nil)),
% 0.15/0.32 inference(cnf_transformation,[status(esa)],[f192])).
% 0.15/0.32 fof(f445,plain,(
% 0.15/0.32 (![A]: ((~ssItem(A)|~cons(A,nil)=sk1)|~memberP(sk2,A)))|~neq(sk4,nil)),
% 0.15/0.32 inference(miniscoping,[status(esa)],[f198])).
% 0.15/0.32 fof(f446,plain,(
% 0.15/0.32 ![X0]: (~ssItem(X0)|~cons(X0,nil)=sk1|~memberP(sk2,X0)|~neq(sk4,nil))),
% 0.15/0.32 inference(cnf_transformation,[status(esa)],[f445])).
% 0.15/0.32 fof(f447,plain,(
% 0.15/0.32 ssItem(sk5)|~neq(sk4,nil)),
% 0.15/0.32 inference(cnf_transformation,[status(esa)],[f199])).
% 0.15/0.32 fof(f448,plain,(
% 0.15/0.32 cons(sk5,nil)=sk3|~neq(sk4,nil)),
% 0.15/0.32 inference(cnf_transformation,[status(esa)],[f200])).
% 0.15/0.32 fof(f449,plain,(
% 0.15/0.32 memberP(sk4,sk5)|~neq(sk4,nil)),
% 0.15/0.32 inference(cnf_transformation,[status(esa)],[f201])).
% 0.15/0.32 fof(f457,plain,(
% 0.15/0.32 spl0_2 <=> neq(sk2,nil)),
% 0.15/0.32 introduced(split_symbol_definition)).
% 0.15/0.32 fof(f458,plain,(
% 0.15/0.32 neq(sk2,nil)|~spl0_2),
% 0.15/0.32 inference(component_clause,[status(thm)],[f457])).
% 0.15/0.32 fof(f460,plain,(
% 0.15/0.32 spl0_2),
% 0.15/0.32 inference(split_clause,[status(thm)],[f438,f457])).
% 0.15/0.32 fof(f461,plain,(
% 0.15/0.32 spl0_3 <=> neq(sk4,nil)),
% 0.15/0.32 introduced(split_symbol_definition)).
% 0.15/0.32 fof(f463,plain,(
% 0.15/0.32 ~neq(sk4,nil)|spl0_3),
% 0.15/0.32 inference(component_clause,[status(thm)],[f461])).
% 0.15/0.32 fof(f465,plain,(
% 0.15/0.32 spl0_4 <=> ~ssItem(X0)|~cons(X0,nil)=sk1|~memberP(sk2,X0)),
% 0.15/0.32 introduced(split_symbol_definition)).
% 0.15/0.32 fof(f466,plain,(
% 0.15/0.32 ![X0]: (~ssItem(X0)|~cons(X0,nil)=sk1|~memberP(sk2,X0)|~spl0_4)),
% 0.15/0.32 inference(component_clause,[status(thm)],[f465])).
% 0.15/0.32 fof(f469,plain,(
% 0.15/0.32 spl0_5 <=> ssItem(sk5)),
% 0.15/0.32 introduced(split_symbol_definition)).
% 0.15/0.32 fof(f473,plain,(
% 0.15/0.32 spl0_6 <=> cons(sk5,nil)=sk3),
% 0.15/0.32 introduced(split_symbol_definition)).
% 0.15/0.32 fof(f474,plain,(
% 0.15/0.32 cons(sk5,nil)=sk3|~spl0_6),
% 0.15/0.32 inference(component_clause,[status(thm)],[f473])).
% 0.15/0.32 fof(f477,plain,(
% 0.15/0.32 spl0_7 <=> memberP(sk4,sk5)),
% 0.15/0.32 introduced(split_symbol_definition)).
% 0.15/0.32 fof(f478,plain,(
% 0.15/0.32 memberP(sk4,sk5)|~spl0_7),
% 0.15/0.32 inference(component_clause,[status(thm)],[f477])).
% 0.15/0.32 fof(f481,plain,(
% 0.15/0.32 spl0_4|~spl0_3),
% 0.15/0.32 inference(split_clause,[status(thm)],[f446,f465,f461])).
% 0.15/0.32 fof(f482,plain,(
% 0.15/0.32 spl0_5|~spl0_3),
% 0.15/0.32 inference(split_clause,[status(thm)],[f447,f469,f461])).
% 0.15/0.32 fof(f483,plain,(
% 0.15/0.32 spl0_6|~spl0_3),
% 0.15/0.32 inference(split_clause,[status(thm)],[f448,f473,f461])).
% 0.15/0.32 fof(f484,plain,(
% 0.15/0.32 spl0_7|~spl0_3),
% 0.15/0.32 inference(split_clause,[status(thm)],[f449,f477,f461])).
% 0.15/0.32 fof(f516,plain,(
% 0.15/0.32 ~neq(sk2,nil)|spl0_3),
% 0.15/0.32 inference(forward_demodulation,[status(thm)],[f436,f463])).
% 0.15/0.32 fof(f528,plain,(
% 0.15/0.32 spl0_11 <=> ssList(nil)),
% 0.15/0.32 introduced(split_symbol_definition)).
% 0.15/0.32 fof(f530,plain,(
% 0.15/0.32 ~ssList(nil)|spl0_11),
% 0.15/0.32 inference(component_clause,[status(thm)],[f528])).
% 0.15/0.54 fof(f531,plain,(
% 0.15/0.54 spl0_12 <=> ssList(sk2)),
% 0.15/0.54 introduced(split_symbol_definition)).
% 0.15/0.54 fof(f533,plain,(
% 0.15/0.54 ~ssList(sk2)|spl0_12),
% 0.15/0.54 inference(component_clause,[status(thm)],[f531])).
% 0.15/0.54 fof(f536,plain,(
% 0.15/0.54 $false|spl0_12),
% 0.15/0.54 inference(forward_subsumption_resolution,[status(thm)],[f533,f433])).
% 0.15/0.54 fof(f537,plain,(
% 0.15/0.54 spl0_12),
% 0.15/0.54 inference(contradiction_clause,[status(thm)],[f536])).
% 0.15/0.54 fof(f538,plain,(
% 0.15/0.54 $false|spl0_11),
% 0.15/0.54 inference(forward_subsumption_resolution,[status(thm)],[f530,f209])).
% 0.15/0.54 fof(f539,plain,(
% 0.15/0.54 spl0_11),
% 0.15/0.54 inference(contradiction_clause,[status(thm)],[f538])).
% 0.15/0.54 fof(f540,plain,(
% 0.15/0.54 cons(sk5,nil)=sk1|~spl0_6),
% 0.15/0.54 inference(forward_demodulation,[status(thm)],[f437,f474])).
% 0.15/0.54 fof(f541,plain,(
% 0.15/0.54 memberP(sk2,sk5)|~spl0_7),
% 0.15/0.54 inference(forward_demodulation,[status(thm)],[f436,f478])).
% 0.15/0.54 fof(f543,plain,(
% 0.15/0.54 spl0_13 <=> memberP(sk2,sk5)),
% 0.15/0.54 introduced(split_symbol_definition)).
% 0.15/0.54 fof(f545,plain,(
% 0.15/0.54 ~memberP(sk2,sk5)|spl0_13),
% 0.15/0.54 inference(component_clause,[status(thm)],[f543])).
% 0.15/0.54 fof(f546,plain,(
% 0.15/0.54 ~ssItem(sk5)|~memberP(sk2,sk5)|~spl0_6|~spl0_4),
% 0.15/0.54 inference(resolution,[status(thm)],[f540,f466])).
% 0.15/0.54 fof(f547,plain,(
% 0.15/0.54 ~spl0_5|~spl0_13|~spl0_6|~spl0_4),
% 0.15/0.54 inference(split_clause,[status(thm)],[f546,f469,f543,f473,f465])).
% 0.15/0.54 fof(f575,plain,(
% 0.15/0.54 $false|~spl0_7|spl0_13),
% 0.15/0.54 inference(forward_subsumption_resolution,[status(thm)],[f545,f541])).
% 0.15/0.54 fof(f576,plain,(
% 0.15/0.54 ~spl0_7|spl0_13),
% 0.15/0.54 inference(contradiction_clause,[status(thm)],[f575])).
% 0.15/0.54 fof(f577,plain,(
% 0.15/0.54 $false|~spl0_2|spl0_3),
% 0.15/0.54 inference(forward_subsumption_resolution,[status(thm)],[f516,f458])).
% 0.15/0.54 fof(f578,plain,(
% 0.15/0.54 ~spl0_2|spl0_3),
% 0.15/0.54 inference(contradiction_clause,[status(thm)],[f577])).
% 0.15/0.54 fof(f579,plain,(
% 0.15/0.54 $false),
% 0.15/0.54 inference(sat_refutation,[status(thm)],[f460,f481,f482,f483,f484,f537,f539,f547,f576,f578])).
% 0.15/0.54 % SZS output end CNFRefutation for theBenchmark.p
% 0.15/0.54 % Elapsed time: 0.018455 seconds
% 0.15/0.54 % CPU time: 0.018262 seconds
% 0.15/0.54 % Memory used: 4.065 MB
%------------------------------------------------------------------------------