TSTP Solution File: SWC317-1 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : SWC317-1 : TPTP v8.1.2. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n020.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 0.12s 0.37s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SWC317-1 : TPTP v8.1.2. Released v2.4.0.
% 0.06/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.12/0.34 % Computer : n020.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 11:22:13 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.12/0.36 % Drodi V3.5.1
% 0.12/0.37 % Refutation found
% 0.12/0.37 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.12/0.37 % SZS output start CNFRefutation for theBenchmark
% 0.12/0.37 fof(f8,axiom,(
% 0.12/0.37 ssList(nil) ),
% 0.12/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.37 fof(f187,negated_conjecture,(
% 0.12/0.37 ssList(sk2) ),
% 0.12/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.37 fof(f190,negated_conjecture,(
% 0.12/0.37 sk2 = sk4 ),
% 0.12/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.37 fof(f191,negated_conjecture,(
% 0.12/0.37 sk1 = sk3 ),
% 0.12/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.37 fof(f192,negated_conjecture,(
% 0.12/0.37 ( neq(sk2,nil)| neq(sk2,nil) ) ),
% 0.12/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.37 fof(f199,negated_conjecture,(
% 0.12/0.37 (![A,B]: (( ~ ssItem(A)| ~ ssList(B)| app(cons(A,nil),B) != sk1| app(B,cons(A,nil)) != sk2| ~ neq(sk4,nil) ) ))),
% 0.12/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.37 fof(f200,negated_conjecture,(
% 0.12/0.37 ( ssItem(sk5)| ~ neq(sk4,nil) ) ),
% 0.12/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.37 fof(f201,negated_conjecture,(
% 0.12/0.37 ( ssList(sk6)| ~ neq(sk4,nil) ) ),
% 0.12/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.37 fof(f202,negated_conjecture,(
% 0.12/0.37 ( app(cons(sk5,nil),sk6) = sk3| ~ neq(sk4,nil) ) ),
% 0.12/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.37 fof(f203,negated_conjecture,(
% 0.12/0.37 ( app(sk6,cons(sk5,nil)) = sk4| ~ neq(sk4,nil) ) ),
% 0.12/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.37 fof(f211,plain,(
% 0.12/0.37 ssList(nil)),
% 0.12/0.37 inference(cnf_transformation,[status(esa)],[f8])).
% 0.12/0.37 fof(f435,plain,(
% 0.12/0.37 ssList(sk2)),
% 0.12/0.37 inference(cnf_transformation,[status(esa)],[f187])).
% 0.12/0.37 fof(f438,plain,(
% 0.12/0.37 sk2=sk4),
% 0.12/0.37 inference(cnf_transformation,[status(esa)],[f190])).
% 0.12/0.37 fof(f439,plain,(
% 0.12/0.37 sk1=sk3),
% 0.12/0.37 inference(cnf_transformation,[status(esa)],[f191])).
% 0.12/0.37 fof(f440,plain,(
% 0.12/0.37 neq(sk2,nil)|neq(sk2,nil)),
% 0.12/0.37 inference(cnf_transformation,[status(esa)],[f192])).
% 0.12/0.37 fof(f448,plain,(
% 0.12/0.37 (![A,B]: (((~ssItem(A)|~ssList(B))|~app(cons(A,nil),B)=sk1)|~app(B,cons(A,nil))=sk2))|~neq(sk4,nil)),
% 0.12/0.37 inference(miniscoping,[status(esa)],[f199])).
% 0.12/0.37 fof(f449,plain,(
% 0.12/0.37 ![X0,X1]: (~ssItem(X0)|~ssList(X1)|~app(cons(X0,nil),X1)=sk1|~app(X1,cons(X0,nil))=sk2|~neq(sk4,nil))),
% 0.12/0.37 inference(cnf_transformation,[status(esa)],[f448])).
% 0.12/0.37 fof(f450,plain,(
% 0.12/0.37 ssItem(sk5)|~neq(sk4,nil)),
% 0.12/0.37 inference(cnf_transformation,[status(esa)],[f200])).
% 0.12/0.37 fof(f451,plain,(
% 0.12/0.37 ssList(sk6)|~neq(sk4,nil)),
% 0.12/0.37 inference(cnf_transformation,[status(esa)],[f201])).
% 0.12/0.37 fof(f452,plain,(
% 0.12/0.37 app(cons(sk5,nil),sk6)=sk3|~neq(sk4,nil)),
% 0.12/0.37 inference(cnf_transformation,[status(esa)],[f202])).
% 0.12/0.37 fof(f453,plain,(
% 0.12/0.37 app(sk6,cons(sk5,nil))=sk4|~neq(sk4,nil)),
% 0.12/0.37 inference(cnf_transformation,[status(esa)],[f203])).
% 0.12/0.37 fof(f461,plain,(
% 0.12/0.37 spl0_2 <=> neq(sk2,nil)),
% 0.12/0.37 introduced(split_symbol_definition)).
% 0.12/0.37 fof(f462,plain,(
% 0.12/0.37 neq(sk2,nil)|~spl0_2),
% 0.12/0.37 inference(component_clause,[status(thm)],[f461])).
% 0.12/0.37 fof(f464,plain,(
% 0.12/0.37 spl0_2),
% 0.12/0.37 inference(split_clause,[status(thm)],[f440,f461])).
% 0.12/0.37 fof(f465,plain,(
% 0.12/0.37 spl0_3 <=> neq(sk4,nil)),
% 0.12/0.37 introduced(split_symbol_definition)).
% 0.12/0.37 fof(f467,plain,(
% 0.12/0.37 ~neq(sk4,nil)|spl0_3),
% 0.12/0.37 inference(component_clause,[status(thm)],[f465])).
% 0.12/0.37 fof(f469,plain,(
% 0.12/0.37 spl0_4 <=> ~ssItem(X0)|~ssList(X1)|~app(cons(X0,nil),X1)=sk1|~app(X1,cons(X0,nil))=sk2),
% 0.12/0.37 introduced(split_symbol_definition)).
% 0.12/0.37 fof(f470,plain,(
% 0.12/0.37 ![X0,X1]: (~ssItem(X0)|~ssList(X1)|~app(cons(X0,nil),X1)=sk1|~app(X1,cons(X0,nil))=sk2|~spl0_4)),
% 0.12/0.37 inference(component_clause,[status(thm)],[f469])).
% 0.12/0.37 fof(f473,plain,(
% 0.12/0.37 spl0_5 <=> ssItem(sk5)),
% 0.12/0.37 introduced(split_symbol_definition)).
% 0.12/0.37 fof(f477,plain,(
% 0.12/0.37 spl0_6 <=> ssList(sk6)),
% 0.12/0.37 introduced(split_symbol_definition)).
% 0.12/0.37 fof(f481,plain,(
% 0.12/0.37 spl0_7 <=> app(cons(sk5,nil),sk6)=sk3),
% 0.12/0.37 introduced(split_symbol_definition)).
% 0.12/0.37 fof(f482,plain,(
% 0.12/0.37 app(cons(sk5,nil),sk6)=sk3|~spl0_7),
% 0.12/0.37 inference(component_clause,[status(thm)],[f481])).
% 0.12/0.37 fof(f485,plain,(
% 0.12/0.37 spl0_8 <=> app(sk6,cons(sk5,nil))=sk4),
% 0.12/0.37 introduced(split_symbol_definition)).
% 0.12/0.37 fof(f486,plain,(
% 0.12/0.37 app(sk6,cons(sk5,nil))=sk4|~spl0_8),
% 0.12/0.37 inference(component_clause,[status(thm)],[f485])).
% 0.12/0.37 fof(f489,plain,(
% 0.12/0.37 spl0_4|~spl0_3),
% 0.12/0.37 inference(split_clause,[status(thm)],[f449,f469,f465])).
% 0.20/0.59 fof(f490,plain,(
% 0.20/0.59 spl0_5|~spl0_3),
% 0.20/0.59 inference(split_clause,[status(thm)],[f450,f473,f465])).
% 0.20/0.59 fof(f491,plain,(
% 0.20/0.59 spl0_6|~spl0_3),
% 0.20/0.59 inference(split_clause,[status(thm)],[f451,f477,f465])).
% 0.20/0.59 fof(f492,plain,(
% 0.20/0.59 spl0_7|~spl0_3),
% 0.20/0.59 inference(split_clause,[status(thm)],[f452,f481,f465])).
% 0.20/0.59 fof(f493,plain,(
% 0.20/0.59 spl0_8|~spl0_3),
% 0.20/0.59 inference(split_clause,[status(thm)],[f453,f485,f465])).
% 0.20/0.59 fof(f525,plain,(
% 0.20/0.59 spl0_9 <=> ssList(nil)),
% 0.20/0.59 introduced(split_symbol_definition)).
% 0.20/0.59 fof(f527,plain,(
% 0.20/0.59 ~ssList(nil)|spl0_9),
% 0.20/0.59 inference(component_clause,[status(thm)],[f525])).
% 0.20/0.59 fof(f535,plain,(
% 0.20/0.59 $false|spl0_9),
% 0.20/0.59 inference(forward_subsumption_resolution,[status(thm)],[f527,f211])).
% 0.20/0.59 fof(f536,plain,(
% 0.20/0.59 spl0_9),
% 0.20/0.59 inference(contradiction_clause,[status(thm)],[f535])).
% 0.20/0.59 fof(f537,plain,(
% 0.20/0.59 ~neq(sk2,nil)|spl0_3),
% 0.20/0.59 inference(forward_demodulation,[status(thm)],[f438,f467])).
% 0.20/0.59 fof(f549,plain,(
% 0.20/0.59 spl0_14 <=> ssList(sk2)),
% 0.20/0.59 introduced(split_symbol_definition)).
% 0.20/0.59 fof(f551,plain,(
% 0.20/0.59 ~ssList(sk2)|spl0_14),
% 0.20/0.59 inference(component_clause,[status(thm)],[f549])).
% 0.20/0.59 fof(f554,plain,(
% 0.20/0.59 $false|spl0_14),
% 0.20/0.59 inference(forward_subsumption_resolution,[status(thm)],[f551,f435])).
% 0.20/0.59 fof(f555,plain,(
% 0.20/0.59 spl0_14),
% 0.20/0.59 inference(contradiction_clause,[status(thm)],[f554])).
% 0.20/0.59 fof(f556,plain,(
% 0.20/0.59 app(cons(sk5,nil),sk6)=sk1|~spl0_7),
% 0.20/0.59 inference(forward_demodulation,[status(thm)],[f439,f482])).
% 0.20/0.59 fof(f557,plain,(
% 0.20/0.59 app(sk6,cons(sk5,nil))=sk2|~spl0_8),
% 0.20/0.59 inference(forward_demodulation,[status(thm)],[f438,f486])).
% 0.20/0.59 fof(f577,plain,(
% 0.20/0.59 spl0_19 <=> app(cons(sk5,nil),sk6)=sk1),
% 0.20/0.59 introduced(split_symbol_definition)).
% 0.20/0.59 fof(f579,plain,(
% 0.20/0.59 ~app(cons(sk5,nil),sk6)=sk1|spl0_19),
% 0.20/0.59 inference(component_clause,[status(thm)],[f577])).
% 0.20/0.59 fof(f580,plain,(
% 0.20/0.59 ~ssItem(sk5)|~ssList(sk6)|~app(cons(sk5,nil),sk6)=sk1|~spl0_8|~spl0_4),
% 0.20/0.59 inference(resolution,[status(thm)],[f557,f470])).
% 0.20/0.59 fof(f581,plain,(
% 0.20/0.59 ~spl0_5|~spl0_6|~spl0_19|~spl0_8|~spl0_4),
% 0.20/0.59 inference(split_clause,[status(thm)],[f580,f473,f477,f577,f485,f469])).
% 0.20/0.59 fof(f594,plain,(
% 0.20/0.59 ~sk1=sk1|~spl0_7|spl0_19),
% 0.20/0.59 inference(forward_demodulation,[status(thm)],[f556,f579])).
% 0.20/0.59 fof(f595,plain,(
% 0.20/0.59 $false|~spl0_7|spl0_19),
% 0.20/0.59 inference(trivial_equality_resolution,[status(esa)],[f594])).
% 0.20/0.59 fof(f596,plain,(
% 0.20/0.59 ~spl0_7|spl0_19),
% 0.20/0.59 inference(contradiction_clause,[status(thm)],[f595])).
% 0.20/0.59 fof(f599,plain,(
% 0.20/0.59 $false|~spl0_2|spl0_3),
% 0.20/0.59 inference(forward_subsumption_resolution,[status(thm)],[f537,f462])).
% 0.20/0.59 fof(f600,plain,(
% 0.20/0.59 ~spl0_2|spl0_3),
% 0.20/0.59 inference(contradiction_clause,[status(thm)],[f599])).
% 0.20/0.59 fof(f601,plain,(
% 0.20/0.59 $false),
% 0.20/0.59 inference(sat_refutation,[status(thm)],[f464,f489,f490,f491,f492,f493,f536,f555,f581,f596,f600])).
% 0.20/0.59 % SZS output end CNFRefutation for theBenchmark.p
% 0.20/0.59 % Elapsed time: 0.031522 seconds
% 0.20/0.59 % CPU time: 0.035648 seconds
% 0.20/0.59 % Memory used: 4.086 MB
%------------------------------------------------------------------------------