TSTP Solution File: SWC220-1 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : SWC220-1 : 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 : Wed May 31 12:39:43 EDT 2023
% Result : Unsatisfiable 0.13s 0.36s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWC220-1 : TPTP v8.1.2. Released v2.4.0.
% 0.07/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34 % Computer : n016.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue May 30 11:52:59 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.13/0.35 % Drodi V3.5.1
% 0.13/0.36 % Refutation found
% 0.13/0.36 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.13/0.36 % SZS output start CNFRefutation for theBenchmark
% 0.13/0.36 fof(f191,negated_conjecture,(
% 0.13/0.36 sk1 = sk3 ),
% 0.13/0.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.36 fof(f192,negated_conjecture,(
% 0.13/0.36 nil != sk1 ),
% 0.13/0.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.36 fof(f193,negated_conjecture,(
% 0.13/0.36 (![A,B,C]: (( ~ ssItem(A)| ~ ssList(B)| ~ ssList(C)| app(app(B,cons(A,nil)),C) != sk1| ssItem(sk5(C,B,A)) ) ))),
% 0.13/0.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.36 fof(f194,negated_conjecture,(
% 0.13/0.36 (![A,B,C]: (( ~ ssItem(A)| ~ ssList(B)| ~ ssList(C)| app(app(B,cons(A,nil)),C) != sk1| memberP(B,sk5(C,B,A)) ) ))),
% 0.13/0.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.36 fof(f195,negated_conjecture,(
% 0.13/0.36 (![A,B,C]: (( ~ ssItem(A)| ~ ssList(B)| ~ ssList(C)| app(app(B,cons(A,nil)),C) != sk1| memberP(C,sk5(C,B,A)) ) ))),
% 0.13/0.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.36 fof(f196,negated_conjecture,(
% 0.13/0.36 (![A,B,C]: (( ~ ssItem(A)| ~ ssList(B)| ~ ssList(C)| app(app(B,cons(A,nil)),C) != sk1| leq(A,sk5(C,B,A)) ) ))),
% 0.13/0.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.36 fof(f197,negated_conjecture,(
% 0.13/0.36 (![A,B,C]: (( ~ ssItem(A)| ~ ssList(B)| ~ ssList(C)| app(app(B,cons(A,nil)),C) != sk1| ~ leq(sk5(C,B,A),A) ) ))),
% 0.13/0.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.36 fof(f198,negated_conjecture,(
% 0.13/0.36 ( nil = sk3| ssItem(sk6) ) ),
% 0.13/0.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.36 fof(f199,negated_conjecture,(
% 0.13/0.36 ( nil = sk3| ssList(sk7) ) ),
% 0.13/0.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.36 fof(f200,negated_conjecture,(
% 0.13/0.36 ( nil = sk3| ssList(sk8) ) ),
% 0.13/0.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.36 fof(f201,negated_conjecture,(
% 0.13/0.36 ( nil = sk3| app(app(sk7,cons(sk6,nil)),sk8) = sk3 ) ),
% 0.13/0.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.36 fof(f202,negated_conjecture,(
% 0.13/0.36 (![A]: (( nil = sk3| ~ ssItem(A)| leq(A,sk6)| ~ memberP(sk7,A)| ~ memberP(sk8,A)| ~ leq(sk6,A) ) ))),
% 0.13/0.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.36 fof(f438,plain,(
% 0.13/0.36 sk1=sk3),
% 0.13/0.36 inference(cnf_transformation,[status(esa)],[f191])).
% 0.13/0.36 fof(f439,plain,(
% 0.13/0.36 ~nil=sk1),
% 0.13/0.36 inference(cnf_transformation,[status(esa)],[f192])).
% 0.13/0.36 fof(f440,plain,(
% 0.13/0.36 ![X0,X1,X2]: (~ssItem(X0)|~ssList(X1)|~ssList(X2)|~app(app(X1,cons(X0,nil)),X2)=sk1|ssItem(sk5(X2,X1,X0)))),
% 0.13/0.36 inference(cnf_transformation,[status(esa)],[f193])).
% 0.13/0.36 fof(f441,plain,(
% 0.13/0.36 ![X0,X1,X2]: (~ssItem(X0)|~ssList(X1)|~ssList(X2)|~app(app(X1,cons(X0,nil)),X2)=sk1|memberP(X1,sk5(X2,X1,X0)))),
% 0.13/0.36 inference(cnf_transformation,[status(esa)],[f194])).
% 0.13/0.36 fof(f442,plain,(
% 0.13/0.36 ![X0,X1,X2]: (~ssItem(X0)|~ssList(X1)|~ssList(X2)|~app(app(X1,cons(X0,nil)),X2)=sk1|memberP(X2,sk5(X2,X1,X0)))),
% 0.13/0.36 inference(cnf_transformation,[status(esa)],[f195])).
% 0.13/0.36 fof(f443,plain,(
% 0.13/0.36 ![X0,X1,X2]: (~ssItem(X0)|~ssList(X1)|~ssList(X2)|~app(app(X1,cons(X0,nil)),X2)=sk1|leq(X0,sk5(X2,X1,X0)))),
% 0.13/0.36 inference(cnf_transformation,[status(esa)],[f196])).
% 0.13/0.36 fof(f444,plain,(
% 0.13/0.36 ![X0,X1,X2]: (~ssItem(X0)|~ssList(X1)|~ssList(X2)|~app(app(X1,cons(X0,nil)),X2)=sk1|~leq(sk5(X2,X1,X0),X0))),
% 0.13/0.36 inference(cnf_transformation,[status(esa)],[f197])).
% 0.13/0.36 fof(f445,plain,(
% 0.13/0.36 nil=sk3|ssItem(sk6)),
% 0.13/0.36 inference(cnf_transformation,[status(esa)],[f198])).
% 0.13/0.36 fof(f446,plain,(
% 0.13/0.36 nil=sk3|ssList(sk7)),
% 0.13/0.36 inference(cnf_transformation,[status(esa)],[f199])).
% 0.13/0.36 fof(f447,plain,(
% 0.13/0.36 nil=sk3|ssList(sk8)),
% 0.13/0.36 inference(cnf_transformation,[status(esa)],[f200])).
% 0.13/0.36 fof(f448,plain,(
% 0.13/0.36 nil=sk3|app(app(sk7,cons(sk6,nil)),sk8)=sk3),
% 0.13/0.36 inference(cnf_transformation,[status(esa)],[f201])).
% 0.13/0.36 fof(f449,plain,(
% 0.13/0.36 ![X0]: (nil=sk3|~ssItem(X0)|leq(X0,sk6)|~memberP(sk7,X0)|~memberP(sk8,X0)|~leq(sk6,X0))),
% 0.13/0.36 inference(cnf_transformation,[status(esa)],[f202])).
% 0.13/0.36 fof(f457,plain,(
% 0.13/0.36 spl0_2 <=> nil=sk3),
% 0.13/0.36 introduced(split_symbol_definition)).
% 0.13/0.36 fof(f458,plain,(
% 0.13/0.36 nil=sk3|~spl0_2),
% 0.13/0.36 inference(component_clause,[status(thm)],[f457])).
% 0.13/0.36 fof(f460,plain,(
% 0.13/0.36 spl0_3 <=> ssItem(sk6)),
% 0.13/0.36 introduced(split_symbol_definition)).
% 0.13/0.36 fof(f463,plain,(
% 0.13/0.36 spl0_2|spl0_3),
% 0.13/0.36 inference(split_clause,[status(thm)],[f445,f457,f460])).
% 0.13/0.38 fof(f464,plain,(
% 0.13/0.38 spl0_4 <=> ssList(sk7)),
% 0.13/0.38 introduced(split_symbol_definition)).
% 0.13/0.38 fof(f467,plain,(
% 0.13/0.38 spl0_2|spl0_4),
% 0.13/0.38 inference(split_clause,[status(thm)],[f446,f457,f464])).
% 0.13/0.38 fof(f468,plain,(
% 0.13/0.38 spl0_5 <=> ssList(sk8)),
% 0.13/0.38 introduced(split_symbol_definition)).
% 0.13/0.38 fof(f471,plain,(
% 0.13/0.38 spl0_2|spl0_5),
% 0.13/0.38 inference(split_clause,[status(thm)],[f447,f457,f468])).
% 0.13/0.38 fof(f472,plain,(
% 0.13/0.38 spl0_6 <=> app(app(sk7,cons(sk6,nil)),sk8)=sk3),
% 0.13/0.38 introduced(split_symbol_definition)).
% 0.13/0.38 fof(f473,plain,(
% 0.13/0.38 app(app(sk7,cons(sk6,nil)),sk8)=sk3|~spl0_6),
% 0.13/0.38 inference(component_clause,[status(thm)],[f472])).
% 0.13/0.38 fof(f475,plain,(
% 0.13/0.38 spl0_2|spl0_6),
% 0.13/0.38 inference(split_clause,[status(thm)],[f448,f457,f472])).
% 0.13/0.38 fof(f476,plain,(
% 0.13/0.38 spl0_7 <=> ~ssItem(X0)|leq(X0,sk6)|~memberP(sk7,X0)|~memberP(sk8,X0)|~leq(sk6,X0)),
% 0.13/0.38 introduced(split_symbol_definition)).
% 0.13/0.38 fof(f477,plain,(
% 0.13/0.38 ![X0]: (~ssItem(X0)|leq(X0,sk6)|~memberP(sk7,X0)|~memberP(sk8,X0)|~leq(sk6,X0)|~spl0_7)),
% 0.13/0.38 inference(component_clause,[status(thm)],[f476])).
% 0.13/0.38 fof(f479,plain,(
% 0.13/0.38 spl0_2|spl0_7),
% 0.13/0.38 inference(split_clause,[status(thm)],[f449,f457,f476])).
% 0.13/0.38 fof(f527,plain,(
% 0.13/0.38 nil=sk1|~spl0_2),
% 0.13/0.38 inference(forward_demodulation,[status(thm)],[f438,f458])).
% 0.13/0.38 fof(f528,plain,(
% 0.13/0.38 $false|~spl0_2),
% 0.13/0.38 inference(forward_subsumption_resolution,[status(thm)],[f527,f439])).
% 0.13/0.38 fof(f529,plain,(
% 0.13/0.38 ~spl0_2),
% 0.13/0.38 inference(contradiction_clause,[status(thm)],[f528])).
% 0.13/0.38 fof(f530,plain,(
% 0.13/0.38 app(app(sk7,cons(sk6,nil)),sk8)=sk1|~spl0_6),
% 0.13/0.38 inference(forward_demodulation,[status(thm)],[f438,f473])).
% 0.13/0.38 fof(f585,plain,(
% 0.13/0.38 spl0_17 <=> memberP(sk7,sk5(sk8,sk7,sk6))),
% 0.13/0.38 introduced(split_symbol_definition)).
% 0.13/0.38 fof(f606,plain,(
% 0.13/0.38 spl0_19 <=> ssItem(sk5(sk8,sk7,sk6))),
% 0.13/0.38 introduced(split_symbol_definition)).
% 0.13/0.38 fof(f609,plain,(
% 0.13/0.38 ~ssItem(sk6)|~ssList(sk7)|~ssList(sk8)|ssItem(sk5(sk8,sk7,sk6))|~spl0_6),
% 0.13/0.38 inference(resolution,[status(thm)],[f440,f530])).
% 0.13/0.38 fof(f610,plain,(
% 0.13/0.38 ~spl0_3|~spl0_4|~spl0_5|spl0_19|~spl0_6),
% 0.13/0.38 inference(split_clause,[status(thm)],[f609,f460,f464,f468,f606,f472])).
% 0.13/0.38 fof(f613,plain,(
% 0.13/0.38 spl0_20 <=> memberP(sk8,sk5(sk8,sk7,sk6))),
% 0.13/0.38 introduced(split_symbol_definition)).
% 0.13/0.38 fof(f614,plain,(
% 0.13/0.38 memberP(sk8,sk5(sk8,sk7,sk6))|~spl0_20),
% 0.13/0.38 inference(component_clause,[status(thm)],[f613])).
% 0.13/0.38 fof(f616,plain,(
% 0.13/0.38 ~ssItem(sk6)|~ssList(sk7)|~ssList(sk8)|memberP(sk8,sk5(sk8,sk7,sk6))|~spl0_6),
% 0.13/0.38 inference(resolution,[status(thm)],[f442,f530])).
% 0.13/0.38 fof(f617,plain,(
% 0.13/0.38 ~spl0_3|~spl0_4|~spl0_5|spl0_20|~spl0_6),
% 0.13/0.38 inference(split_clause,[status(thm)],[f616,f460,f464,f468,f613,f472])).
% 0.13/0.38 fof(f620,plain,(
% 0.13/0.38 spl0_21 <=> leq(sk6,sk5(sk8,sk7,sk6))),
% 0.13/0.38 introduced(split_symbol_definition)).
% 0.13/0.38 fof(f623,plain,(
% 0.13/0.38 ~ssItem(sk6)|~ssList(sk7)|~ssList(sk8)|leq(sk6,sk5(sk8,sk7,sk6))|~spl0_6),
% 0.13/0.38 inference(resolution,[status(thm)],[f443,f530])).
% 0.13/0.38 fof(f624,plain,(
% 0.13/0.38 ~spl0_3|~spl0_4|~spl0_5|spl0_21|~spl0_6),
% 0.13/0.38 inference(split_clause,[status(thm)],[f623,f460,f464,f468,f620,f472])).
% 0.13/0.38 fof(f627,plain,(
% 0.13/0.38 spl0_22 <=> leq(sk5(sk8,sk7,sk6),sk6)),
% 0.13/0.38 introduced(split_symbol_definition)).
% 0.13/0.38 fof(f630,plain,(
% 0.13/0.38 ~ssItem(sk6)|~ssList(sk7)|~ssList(sk8)|~leq(sk5(sk8,sk7,sk6),sk6)|~spl0_6),
% 0.13/0.38 inference(resolution,[status(thm)],[f444,f530])).
% 0.13/0.38 fof(f631,plain,(
% 0.13/0.38 ~spl0_3|~spl0_4|~spl0_5|~spl0_22|~spl0_6),
% 0.13/0.38 inference(split_clause,[status(thm)],[f630,f460,f464,f468,f627,f472])).
% 0.13/0.38 fof(f634,plain,(
% 0.13/0.38 ~ssItem(sk6)|~ssList(sk7)|~ssList(sk8)|memberP(sk7,sk5(sk8,sk7,sk6))|~spl0_6),
% 0.13/0.38 inference(resolution,[status(thm)],[f441,f530])).
% 0.13/0.38 fof(f635,plain,(
% 0.13/0.38 ~spl0_3|~spl0_4|~spl0_5|spl0_17|~spl0_6),
% 0.13/0.38 inference(split_clause,[status(thm)],[f634,f460,f464,f468,f585,f472])).
% 0.13/0.38 fof(f695,plain,(
% 0.13/0.38 ~ssItem(sk5(sk8,sk7,sk6))|leq(sk5(sk8,sk7,sk6),sk6)|~memberP(sk7,sk5(sk8,sk7,sk6))|~leq(sk6,sk5(sk8,sk7,sk6))|~spl0_20|~spl0_7),
% 0.13/0.38 inference(resolution,[status(thm)],[f614,f477])).
% 0.13/0.38 fof(f696,plain,(
% 0.13/0.38 ~spl0_19|spl0_22|~spl0_17|~spl0_21|~spl0_20|~spl0_7),
% 0.13/0.38 inference(split_clause,[status(thm)],[f695,f606,f627,f585,f620,f613,f476])).
% 0.13/0.38 fof(f697,plain,(
% 0.13/0.38 $false),
% 0.13/0.38 inference(sat_refutation,[status(thm)],[f463,f467,f471,f475,f479,f529,f610,f617,f624,f631,f635,f696])).
% 0.13/0.38 % SZS output end CNFRefutation for theBenchmark.p
% 0.13/0.38 % Elapsed time: 0.033482 seconds
% 0.13/0.38 % CPU time: 0.064370 seconds
% 0.13/0.38 % Memory used: 16.228 MB
%------------------------------------------------------------------------------