TSTP Solution File: SWC012-1 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : SWC012-1 : 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 : Tue Apr 30 20:44:09 EDT 2024
% Result : Unsatisfiable 0.09s 0.33s
% Output : CNFRefutation 0.09s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11 % Problem : SWC012-1 : TPTP v8.1.2. Released v2.4.0.
% 0.07/0.12 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.09/0.32 % Computer : n009.cluster.edu
% 0.09/0.32 % Model : x86_64 x86_64
% 0.09/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.32 % Memory : 8042.1875MB
% 0.09/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.32 % CPULimit : 300
% 0.09/0.32 % WCLimit : 300
% 0.09/0.32 % DateTime : Tue Apr 30 00:00:56 EDT 2024
% 0.09/0.32 % CPUTime :
% 0.09/0.33 % Drodi V3.6.0
% 0.09/0.33 % Refutation found
% 0.09/0.33 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.09/0.33 % SZS output start CNFRefutation for theBenchmark
% 0.09/0.33 fof(f8,axiom,(
% 0.09/0.33 ssList(nil) ),
% 0.09/0.33 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.33 fof(f73,axiom,(
% 0.09/0.33 (![U]: (( ~ ssList(U)| app(U,nil) = U ) ))),
% 0.09/0.33 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.33 fof(f186,negated_conjecture,(
% 0.09/0.33 ssList(sk1) ),
% 0.09/0.33 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.33 fof(f187,negated_conjecture,(
% 0.09/0.33 ssList(sk2) ),
% 0.09/0.33 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.33 fof(f190,negated_conjecture,(
% 0.09/0.33 sk2 = sk4 ),
% 0.09/0.33 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.33 fof(f191,negated_conjecture,(
% 0.09/0.33 sk1 = sk3 ),
% 0.09/0.33 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.33 fof(f192,negated_conjecture,(
% 0.09/0.33 ( neq(sk2,nil)| neq(sk2,nil) ) ),
% 0.09/0.33 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.33 fof(f197,negated_conjecture,(
% 0.09/0.33 (![A,B,C]: (( ~ ssItem(A)| ~ ssList(B)| ~ ssList(C)| app(app(B,cons(A,nil)),C) != sk2| app(B,C) != sk1| ~ neq(sk4,nil) ) ))),
% 0.09/0.33 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.33 fof(f198,negated_conjecture,(
% 0.09/0.33 ( ssItem(sk5)| ~ neq(sk4,nil) ) ),
% 0.09/0.33 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.33 fof(f199,negated_conjecture,(
% 0.09/0.33 ( app(sk3,cons(sk5,nil)) = sk4| ~ neq(sk4,nil) ) ),
% 0.09/0.33 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.33 fof(f207,plain,(
% 0.09/0.33 ssList(nil)),
% 0.09/0.33 inference(cnf_transformation,[status(esa)],[f8])).
% 0.09/0.33 fof(f273,plain,(
% 0.09/0.33 ![X0]: (~ssList(X0)|app(X0,nil)=X0)),
% 0.09/0.33 inference(cnf_transformation,[status(esa)],[f73])).
% 0.09/0.33 fof(f430,plain,(
% 0.09/0.33 ssList(sk1)),
% 0.09/0.33 inference(cnf_transformation,[status(esa)],[f186])).
% 0.09/0.33 fof(f431,plain,(
% 0.09/0.33 ssList(sk2)),
% 0.09/0.33 inference(cnf_transformation,[status(esa)],[f187])).
% 0.09/0.33 fof(f434,plain,(
% 0.09/0.33 sk2=sk4),
% 0.09/0.33 inference(cnf_transformation,[status(esa)],[f190])).
% 0.09/0.33 fof(f435,plain,(
% 0.09/0.33 sk1=sk3),
% 0.09/0.33 inference(cnf_transformation,[status(esa)],[f191])).
% 0.09/0.33 fof(f436,plain,(
% 0.09/0.33 neq(sk2,nil)|neq(sk2,nil)),
% 0.09/0.33 inference(cnf_transformation,[status(esa)],[f192])).
% 0.09/0.33 fof(f442,plain,(
% 0.09/0.33 (![B,C]: ((![A]: (((~ssItem(A)|~ssList(B))|~ssList(C))|~app(app(B,cons(A,nil)),C)=sk2))|~app(B,C)=sk1))|~neq(sk4,nil)),
% 0.09/0.33 inference(miniscoping,[status(esa)],[f197])).
% 0.09/0.33 fof(f443,plain,(
% 0.09/0.33 ![X0,X1,X2]: (~ssItem(X0)|~ssList(X1)|~ssList(X2)|~app(app(X1,cons(X0,nil)),X2)=sk2|~app(X1,X2)=sk1|~neq(sk4,nil))),
% 0.09/0.33 inference(cnf_transformation,[status(esa)],[f442])).
% 0.09/0.33 fof(f444,plain,(
% 0.09/0.33 ssItem(sk5)|~neq(sk4,nil)),
% 0.09/0.33 inference(cnf_transformation,[status(esa)],[f198])).
% 0.09/0.33 fof(f445,plain,(
% 0.09/0.33 app(sk3,cons(sk5,nil))=sk4|~neq(sk4,nil)),
% 0.09/0.33 inference(cnf_transformation,[status(esa)],[f199])).
% 0.09/0.33 fof(f453,plain,(
% 0.09/0.33 spl0_2 <=> neq(sk2,nil)),
% 0.09/0.33 introduced(split_symbol_definition)).
% 0.09/0.33 fof(f454,plain,(
% 0.09/0.33 neq(sk2,nil)|~spl0_2),
% 0.09/0.33 inference(component_clause,[status(thm)],[f453])).
% 0.09/0.33 fof(f456,plain,(
% 0.09/0.33 spl0_2),
% 0.09/0.33 inference(split_clause,[status(thm)],[f436,f453])).
% 0.09/0.33 fof(f457,plain,(
% 0.09/0.33 spl0_3 <=> neq(sk4,nil)),
% 0.09/0.33 introduced(split_symbol_definition)).
% 0.09/0.33 fof(f459,plain,(
% 0.09/0.33 ~neq(sk4,nil)|spl0_3),
% 0.09/0.33 inference(component_clause,[status(thm)],[f457])).
% 0.09/0.33 fof(f461,plain,(
% 0.09/0.33 spl0_4 <=> ~ssItem(X0)|~ssList(X1)|~ssList(X2)|~app(app(X1,cons(X0,nil)),X2)=sk2|~app(X1,X2)=sk1),
% 0.09/0.33 introduced(split_symbol_definition)).
% 0.09/0.33 fof(f462,plain,(
% 0.09/0.33 ![X0,X1,X2]: (~ssItem(X0)|~ssList(X1)|~ssList(X2)|~app(app(X1,cons(X0,nil)),X2)=sk2|~app(X1,X2)=sk1|~spl0_4)),
% 0.09/0.33 inference(component_clause,[status(thm)],[f461])).
% 0.09/0.33 fof(f465,plain,(
% 0.09/0.33 spl0_5 <=> ssItem(sk5)),
% 0.09/0.33 introduced(split_symbol_definition)).
% 0.09/0.33 fof(f469,plain,(
% 0.09/0.33 spl0_6 <=> app(sk3,cons(sk5,nil))=sk4),
% 0.09/0.33 introduced(split_symbol_definition)).
% 0.09/0.33 fof(f470,plain,(
% 0.09/0.33 app(sk3,cons(sk5,nil))=sk4|~spl0_6),
% 0.09/0.33 inference(component_clause,[status(thm)],[f469])).
% 0.09/0.33 fof(f473,plain,(
% 0.09/0.33 spl0_4|~spl0_3),
% 0.09/0.33 inference(split_clause,[status(thm)],[f443,f461,f457])).
% 0.09/0.33 fof(f474,plain,(
% 0.09/0.33 spl0_5|~spl0_3),
% 0.09/0.33 inference(split_clause,[status(thm)],[f444,f465,f457])).
% 0.09/0.33 fof(f475,plain,(
% 0.09/0.33 spl0_6|~spl0_3),
% 0.09/0.33 inference(split_clause,[status(thm)],[f445,f469,f457])).
% 0.09/0.33 fof(f507,plain,(
% 0.09/0.33 spl0_7 <=> ssList(nil)),
% 0.09/0.33 introduced(split_symbol_definition)).
% 0.09/0.34 fof(f509,plain,(
% 0.09/0.34 ~ssList(nil)|spl0_7),
% 0.09/0.34 inference(component_clause,[status(thm)],[f507])).
% 0.09/0.34 fof(f517,plain,(
% 0.09/0.34 $false|spl0_7),
% 0.09/0.34 inference(forward_subsumption_resolution,[status(thm)],[f509,f207])).
% 0.09/0.34 fof(f518,plain,(
% 0.09/0.34 spl0_7),
% 0.09/0.34 inference(contradiction_clause,[status(thm)],[f517])).
% 0.09/0.34 fof(f519,plain,(
% 0.09/0.34 ~neq(sk2,nil)|spl0_3),
% 0.09/0.34 inference(forward_demodulation,[status(thm)],[f434,f459])).
% 0.09/0.34 fof(f531,plain,(
% 0.09/0.34 spl0_12 <=> ssList(sk2)),
% 0.09/0.34 introduced(split_symbol_definition)).
% 0.09/0.34 fof(f533,plain,(
% 0.09/0.34 ~ssList(sk2)|spl0_12),
% 0.09/0.34 inference(component_clause,[status(thm)],[f531])).
% 0.09/0.34 fof(f536,plain,(
% 0.09/0.34 $false|spl0_12),
% 0.09/0.34 inference(forward_subsumption_resolution,[status(thm)],[f533,f431])).
% 0.09/0.34 fof(f537,plain,(
% 0.09/0.34 spl0_12),
% 0.09/0.34 inference(contradiction_clause,[status(thm)],[f536])).
% 0.09/0.34 fof(f538,plain,(
% 0.09/0.34 app(sk1,cons(sk5,nil))=sk4|~spl0_6),
% 0.09/0.34 inference(forward_demodulation,[status(thm)],[f435,f470])).
% 0.09/0.34 fof(f539,plain,(
% 0.09/0.34 app(sk1,cons(sk5,nil))=sk2|~spl0_6),
% 0.09/0.34 inference(forward_demodulation,[status(thm)],[f434,f538])).
% 0.09/0.34 fof(f544,plain,(
% 0.09/0.34 spl0_14 <=> ssList(sk1)),
% 0.09/0.34 introduced(split_symbol_definition)).
% 0.09/0.34 fof(f546,plain,(
% 0.09/0.34 ~ssList(sk1)|spl0_14),
% 0.09/0.34 inference(component_clause,[status(thm)],[f544])).
% 0.09/0.34 fof(f554,plain,(
% 0.09/0.34 $false|spl0_14),
% 0.09/0.34 inference(forward_subsumption_resolution,[status(thm)],[f546,f430])).
% 0.09/0.34 fof(f555,plain,(
% 0.09/0.34 spl0_14),
% 0.09/0.34 inference(contradiction_clause,[status(thm)],[f554])).
% 0.09/0.34 fof(f556,plain,(
% 0.09/0.34 spl0_16 <=> ~ssList(X0)|~app(sk2,X0)=sk2|~app(sk1,X0)=sk1),
% 0.09/0.34 introduced(split_symbol_definition)).
% 0.09/0.34 fof(f557,plain,(
% 0.09/0.34 ![X0]: (~ssList(X0)|~app(sk2,X0)=sk2|~app(sk1,X0)=sk1|~spl0_16)),
% 0.09/0.34 inference(component_clause,[status(thm)],[f556])).
% 0.09/0.34 fof(f559,plain,(
% 0.09/0.34 ![X0]: (~ssItem(sk5)|~ssList(sk1)|~ssList(X0)|~app(sk2,X0)=sk2|~app(sk1,X0)=sk1|~spl0_4|~spl0_6)),
% 0.09/0.34 inference(paramodulation,[status(thm)],[f539,f462])).
% 0.09/0.34 fof(f560,plain,(
% 0.09/0.34 ~spl0_5|~spl0_14|spl0_16|~spl0_4|~spl0_6),
% 0.09/0.34 inference(split_clause,[status(thm)],[f559,f465,f544,f556,f461,f469])).
% 0.09/0.34 fof(f563,plain,(
% 0.09/0.34 spl0_17 <=> app(sk1,nil)=sk1),
% 0.09/0.34 introduced(split_symbol_definition)).
% 0.09/0.34 fof(f565,plain,(
% 0.09/0.34 ~app(sk1,nil)=sk1|spl0_17),
% 0.09/0.34 inference(component_clause,[status(thm)],[f563])).
% 0.09/0.34 fof(f566,plain,(
% 0.09/0.34 ~ssList(nil)|~app(sk1,nil)=sk1|~ssList(sk2)|~spl0_16),
% 0.09/0.34 inference(resolution,[status(thm)],[f557,f273])).
% 0.09/0.34 fof(f567,plain,(
% 0.09/0.34 ~spl0_7|~spl0_17|~spl0_12|~spl0_16),
% 0.09/0.34 inference(split_clause,[status(thm)],[f566,f507,f563,f531,f556])).
% 0.09/0.34 fof(f568,plain,(
% 0.09/0.34 ~ssList(sk1)|spl0_17),
% 0.09/0.34 inference(resolution,[status(thm)],[f565,f273])).
% 0.09/0.34 fof(f569,plain,(
% 0.09/0.34 ~spl0_14|spl0_17),
% 0.09/0.34 inference(split_clause,[status(thm)],[f568,f544,f563])).
% 0.09/0.34 fof(f570,plain,(
% 0.09/0.34 $false|~spl0_2|spl0_3),
% 0.09/0.34 inference(forward_subsumption_resolution,[status(thm)],[f519,f454])).
% 0.09/0.34 fof(f571,plain,(
% 0.09/0.34 ~spl0_2|spl0_3),
% 0.09/0.34 inference(contradiction_clause,[status(thm)],[f570])).
% 0.09/0.34 fof(f572,plain,(
% 0.09/0.34 $false),
% 0.09/0.34 inference(sat_refutation,[status(thm)],[f456,f473,f474,f475,f518,f537,f555,f560,f567,f569,f571])).
% 0.09/0.34 % SZS output end CNFRefutation for theBenchmark.p
% 0.09/0.36 % Elapsed time: 0.023987 seconds
% 0.09/0.36 % CPU time: 0.029093 seconds
% 0.09/0.36 % Total memory used: 14.299 MB
% 0.09/0.36 % Net memory used: 14.268 MB
%------------------------------------------------------------------------------