TSTP Solution File: SWC010-1 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : SWC010-1 : 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 20:44:08 EDT 2024
% Result : Unsatisfiable 0.13s 0.36s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : SWC010-1 : TPTP v8.1.2. Released v2.4.0.
% 0.10/0.13 % 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 Apr 30 00:42:10 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.13/0.36 % Drodi V3.6.0
% 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(f190,negated_conjecture,(
% 0.13/0.36 sk2 = sk4 ),
% 0.13/0.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 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 ( neq(sk2,nil)| neq(sk2,nil) ) ),
% 0.13/0.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.36 fof(f201,negated_conjecture,(
% 0.13/0.36 (![A,B,C]: (( ~ ssItem(A)| ~ ssList(B)| ~ ssList(C)| app(app(B,cons(A,nil)),C) != sk2| app(B,C) != sk1| ~ neq(sk4,nil) ) ))),
% 0.13/0.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.36 fof(f202,negated_conjecture,(
% 0.13/0.36 ( ssItem(sk5)| ~ neq(sk4,nil) ) ),
% 0.13/0.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.36 fof(f203,negated_conjecture,(
% 0.13/0.36 ( ssList(sk6)| ~ neq(sk4,nil) ) ),
% 0.13/0.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.36 fof(f204,negated_conjecture,(
% 0.13/0.36 ( ssList(sk7)| ~ neq(sk4,nil) ) ),
% 0.13/0.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.36 fof(f205,negated_conjecture,(
% 0.13/0.36 ( app(app(sk6,cons(sk5,nil)),sk7) = sk4| ~ neq(sk4,nil) ) ),
% 0.13/0.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.36 fof(f206,negated_conjecture,(
% 0.13/0.36 ( app(sk6,sk7) = sk3| ~ neq(sk4,nil) ) ),
% 0.13/0.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.36 fof(f442,plain,(
% 0.13/0.36 sk2=sk4),
% 0.13/0.36 inference(cnf_transformation,[status(esa)],[f190])).
% 0.13/0.36 fof(f443,plain,(
% 0.13/0.36 sk1=sk3),
% 0.13/0.36 inference(cnf_transformation,[status(esa)],[f191])).
% 0.13/0.36 fof(f444,plain,(
% 0.13/0.36 neq(sk2,nil)|neq(sk2,nil)),
% 0.13/0.36 inference(cnf_transformation,[status(esa)],[f192])).
% 0.13/0.36 fof(f455,plain,(
% 0.13/0.36 (![B,C]: ((![A]: (((~ssItem(A)|~ssList(B))|~ssList(C))|~app(app(B,cons(A,nil)),C)=sk2))|~app(B,C)=sk1))|~neq(sk4,nil)),
% 0.13/0.36 inference(miniscoping,[status(esa)],[f201])).
% 0.13/0.36 fof(f456,plain,(
% 0.13/0.36 ![X0,X1,X2]: (~ssItem(X0)|~ssList(X1)|~ssList(X2)|~app(app(X1,cons(X0,nil)),X2)=sk2|~app(X1,X2)=sk1|~neq(sk4,nil))),
% 0.13/0.36 inference(cnf_transformation,[status(esa)],[f455])).
% 0.13/0.36 fof(f457,plain,(
% 0.13/0.36 ssItem(sk5)|~neq(sk4,nil)),
% 0.13/0.36 inference(cnf_transformation,[status(esa)],[f202])).
% 0.13/0.36 fof(f458,plain,(
% 0.13/0.36 ssList(sk6)|~neq(sk4,nil)),
% 0.13/0.36 inference(cnf_transformation,[status(esa)],[f203])).
% 0.13/0.36 fof(f459,plain,(
% 0.13/0.36 ssList(sk7)|~neq(sk4,nil)),
% 0.13/0.36 inference(cnf_transformation,[status(esa)],[f204])).
% 0.13/0.36 fof(f460,plain,(
% 0.13/0.36 app(app(sk6,cons(sk5,nil)),sk7)=sk4|~neq(sk4,nil)),
% 0.13/0.36 inference(cnf_transformation,[status(esa)],[f205])).
% 0.13/0.36 fof(f461,plain,(
% 0.13/0.36 app(sk6,sk7)=sk3|~neq(sk4,nil)),
% 0.13/0.36 inference(cnf_transformation,[status(esa)],[f206])).
% 0.13/0.36 fof(f471,plain,(
% 0.13/0.36 spl0_2 <=> neq(sk2,nil)),
% 0.13/0.36 introduced(split_symbol_definition)).
% 0.13/0.36 fof(f472,plain,(
% 0.13/0.36 neq(sk2,nil)|~spl0_2),
% 0.13/0.36 inference(component_clause,[status(thm)],[f471])).
% 0.13/0.36 fof(f474,plain,(
% 0.13/0.36 spl0_2),
% 0.13/0.36 inference(split_clause,[status(thm)],[f444,f471])).
% 0.13/0.36 fof(f475,plain,(
% 0.13/0.36 spl0_3 <=> neq(sk4,nil)),
% 0.13/0.36 introduced(split_symbol_definition)).
% 0.13/0.36 fof(f477,plain,(
% 0.13/0.36 ~neq(sk4,nil)|spl0_3),
% 0.13/0.36 inference(component_clause,[status(thm)],[f475])).
% 0.13/0.36 fof(f479,plain,(
% 0.13/0.36 spl0_4 <=> ~ssItem(X0)|~ssList(X1)|~ssList(X2)|~app(app(X1,cons(X0,nil)),X2)=sk2|~app(X1,X2)=sk1),
% 0.13/0.36 introduced(split_symbol_definition)).
% 0.13/0.36 fof(f480,plain,(
% 0.13/0.36 ![X0,X1,X2]: (~ssItem(X0)|~ssList(X1)|~ssList(X2)|~app(app(X1,cons(X0,nil)),X2)=sk2|~app(X1,X2)=sk1|~spl0_4)),
% 0.13/0.36 inference(component_clause,[status(thm)],[f479])).
% 0.13/0.36 fof(f483,plain,(
% 0.13/0.36 spl0_5 <=> ssItem(sk5)),
% 0.13/0.36 introduced(split_symbol_definition)).
% 0.13/0.36 fof(f487,plain,(
% 0.13/0.36 spl0_6 <=> ssList(sk6)),
% 0.13/0.36 introduced(split_symbol_definition)).
% 0.13/0.36 fof(f491,plain,(
% 0.13/0.36 spl0_7 <=> ssList(sk7)),
% 0.13/0.36 introduced(split_symbol_definition)).
% 0.13/0.36 fof(f495,plain,(
% 0.13/0.36 spl0_8 <=> app(app(sk6,cons(sk5,nil)),sk7)=sk4),
% 0.13/0.36 introduced(split_symbol_definition)).
% 0.13/0.36 fof(f496,plain,(
% 0.13/0.36 app(app(sk6,cons(sk5,nil)),sk7)=sk4|~spl0_8),
% 0.13/0.36 inference(component_clause,[status(thm)],[f495])).
% 0.13/0.36 fof(f499,plain,(
% 0.13/0.36 spl0_9 <=> app(sk6,sk7)=sk3),
% 0.13/0.36 introduced(split_symbol_definition)).
% 0.13/0.36 fof(f500,plain,(
% 0.13/0.36 app(sk6,sk7)=sk3|~spl0_9),
% 0.13/0.36 inference(component_clause,[status(thm)],[f499])).
% 0.13/0.36 fof(f507,plain,(
% 0.13/0.36 spl0_4|~spl0_3),
% 0.13/0.36 inference(split_clause,[status(thm)],[f456,f479,f475])).
% 0.13/0.37 fof(f508,plain,(
% 0.13/0.37 spl0_5|~spl0_3),
% 0.13/0.37 inference(split_clause,[status(thm)],[f457,f483,f475])).
% 0.13/0.37 fof(f509,plain,(
% 0.13/0.37 spl0_6|~spl0_3),
% 0.13/0.37 inference(split_clause,[status(thm)],[f458,f487,f475])).
% 0.13/0.37 fof(f510,plain,(
% 0.13/0.37 spl0_7|~spl0_3),
% 0.13/0.37 inference(split_clause,[status(thm)],[f459,f491,f475])).
% 0.13/0.37 fof(f511,plain,(
% 0.13/0.37 spl0_8|~spl0_3),
% 0.13/0.37 inference(split_clause,[status(thm)],[f460,f495,f475])).
% 0.13/0.37 fof(f512,plain,(
% 0.13/0.37 spl0_9|~spl0_3),
% 0.13/0.37 inference(split_clause,[status(thm)],[f461,f499,f475])).
% 0.13/0.37 fof(f581,plain,(
% 0.13/0.37 ~neq(sk2,nil)|spl0_3),
% 0.13/0.37 inference(forward_demodulation,[status(thm)],[f442,f477])).
% 0.13/0.37 fof(f582,plain,(
% 0.13/0.37 $false|spl0_3|~spl0_2),
% 0.13/0.37 inference(forward_subsumption_resolution,[status(thm)],[f472,f581])).
% 0.13/0.37 fof(f583,plain,(
% 0.13/0.37 spl0_3|~spl0_2),
% 0.13/0.37 inference(contradiction_clause,[status(thm)],[f582])).
% 0.13/0.37 fof(f584,plain,(
% 0.13/0.37 app(app(sk6,cons(sk5,nil)),sk7)=sk2|~spl0_8),
% 0.13/0.37 inference(forward_demodulation,[status(thm)],[f442,f496])).
% 0.13/0.37 fof(f585,plain,(
% 0.13/0.37 app(sk6,sk7)=sk1|~spl0_9),
% 0.13/0.37 inference(forward_demodulation,[status(thm)],[f443,f500])).
% 0.13/0.37 fof(f600,plain,(
% 0.13/0.37 spl0_11 <=> app(sk6,sk7)=sk1),
% 0.13/0.37 introduced(split_symbol_definition)).
% 0.13/0.37 fof(f602,plain,(
% 0.13/0.37 ~app(sk6,sk7)=sk1|spl0_11),
% 0.13/0.37 inference(component_clause,[status(thm)],[f600])).
% 0.13/0.37 fof(f603,plain,(
% 0.13/0.37 ~ssItem(sk5)|~ssList(sk6)|~ssList(sk7)|~app(sk6,sk7)=sk1|~spl0_8|~spl0_4),
% 0.13/0.37 inference(resolution,[status(thm)],[f584,f480])).
% 0.13/0.37 fof(f604,plain,(
% 0.13/0.37 ~spl0_5|~spl0_6|~spl0_7|~spl0_11|~spl0_8|~spl0_4),
% 0.13/0.37 inference(split_clause,[status(thm)],[f603,f483,f487,f491,f600,f495,f479])).
% 0.13/0.37 fof(f610,plain,(
% 0.13/0.37 ~sk1=sk1|~spl0_9|spl0_11),
% 0.13/0.37 inference(forward_demodulation,[status(thm)],[f585,f602])).
% 0.13/0.37 fof(f611,plain,(
% 0.13/0.37 $false|~spl0_9|spl0_11),
% 0.13/0.37 inference(trivial_equality_resolution,[status(esa)],[f610])).
% 0.13/0.37 fof(f612,plain,(
% 0.13/0.37 ~spl0_9|spl0_11),
% 0.13/0.37 inference(contradiction_clause,[status(thm)],[f611])).
% 0.13/0.37 fof(f613,plain,(
% 0.13/0.37 $false),
% 0.13/0.37 inference(sat_refutation,[status(thm)],[f474,f507,f508,f509,f510,f511,f512,f583,f604,f612])).
% 0.13/0.37 % SZS output end CNFRefutation for theBenchmark.p
% 0.13/0.38 % Elapsed time: 0.029370 seconds
% 0.13/0.38 % CPU time: 0.048627 seconds
% 0.13/0.38 % Total memory used: 14.505 MB
% 0.13/0.38 % Net memory used: 14.479 MB
%------------------------------------------------------------------------------