TSTP Solution File: SWC380-1 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : SWC380-1 : TPTP v8.1.2. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n013.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 20:45:34 EDT 2024
% Result : Unsatisfiable 0.13s 0.37s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : SWC380-1 : TPTP v8.1.2. Released v2.4.0.
% 0.12/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.35 % Computer : n013.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Mon Apr 29 23:56:04 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.13/0.36 % Drodi V3.6.0
% 0.13/0.37 % Refutation found
% 0.13/0.37 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.13/0.37 % SZS output start CNFRefutation for theBenchmark
% 0.13/0.37 fof(f8,axiom,(
% 0.13/0.37 ssList(nil) ),
% 0.13/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.37 fof(f120,axiom,(
% 0.13/0.37 (![U,V]: (( ~ ssItem(U)| ~ ssList(V)| app(cons(U,nil),V) = cons(U,V) ) ))),
% 0.13/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.37 fof(f138,axiom,(
% 0.13/0.37 (![U,V,W]: (( U != V| ~ ssList(W)| ~ ssItem(V)| ~ ssItem(U)| memberP(cons(V,W),U) ) ))),
% 0.13/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.37 fof(f187,negated_conjecture,(
% 0.13/0.37 ssList(sk2) ),
% 0.13/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.37 fof(f190,negated_conjecture,(
% 0.13/0.37 sk2 = sk4 ),
% 0.13/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.37 fof(f191,negated_conjecture,(
% 0.13/0.37 sk1 = sk3 ),
% 0.13/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.37 fof(f192,negated_conjecture,(
% 0.13/0.37 ( neq(sk2,nil)| neq(sk2,nil) ) ),
% 0.13/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.37 fof(f199,negated_conjecture,(
% 0.13/0.37 (![A]: (( ~ ssItem(A)| cons(A,nil) != sk1| ~ memberP(sk2,A)| ~ neq(sk4,nil) ) ))),
% 0.13/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.37 fof(f200,negated_conjecture,(
% 0.13/0.37 ( ssItem(sk5)| ~ neq(sk4,nil) ) ),
% 0.13/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.37 fof(f201,negated_conjecture,(
% 0.13/0.37 ( ssList(sk6)| ~ neq(sk4,nil) ) ),
% 0.13/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.37 fof(f202,negated_conjecture,(
% 0.13/0.37 ( cons(sk5,nil) = sk3| ~ neq(sk4,nil) ) ),
% 0.13/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.37 fof(f203,negated_conjecture,(
% 0.13/0.37 ( app(cons(sk5,nil),sk6) = sk4| ~ neq(sk4,nil) ) ),
% 0.13/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.37 fof(f211,plain,(
% 0.13/0.37 ssList(nil)),
% 0.13/0.37 inference(cnf_transformation,[status(esa)],[f8])).
% 0.13/0.37 fof(f334,plain,(
% 0.13/0.37 ![X0,X1]: (~ssItem(X0)|~ssList(X1)|app(cons(X0,nil),X1)=cons(X0,X1))),
% 0.13/0.37 inference(cnf_transformation,[status(esa)],[f120])).
% 0.13/0.37 fof(f356,plain,(
% 0.13/0.37 ![X0,X1,X2]: (~X0=X1|~ssList(X2)|~ssItem(X1)|~ssItem(X0)|memberP(cons(X1,X2),X0))),
% 0.13/0.37 inference(cnf_transformation,[status(esa)],[f138])).
% 0.13/0.37 fof(f435,plain,(
% 0.13/0.37 ssList(sk2)),
% 0.13/0.37 inference(cnf_transformation,[status(esa)],[f187])).
% 0.13/0.37 fof(f438,plain,(
% 0.13/0.37 sk2=sk4),
% 0.13/0.37 inference(cnf_transformation,[status(esa)],[f190])).
% 0.13/0.37 fof(f439,plain,(
% 0.13/0.37 sk1=sk3),
% 0.13/0.37 inference(cnf_transformation,[status(esa)],[f191])).
% 0.13/0.37 fof(f440,plain,(
% 0.13/0.37 neq(sk2,nil)|neq(sk2,nil)),
% 0.13/0.37 inference(cnf_transformation,[status(esa)],[f192])).
% 0.13/0.37 fof(f448,plain,(
% 0.13/0.37 (![A]: ((~ssItem(A)|~cons(A,nil)=sk1)|~memberP(sk2,A)))|~neq(sk4,nil)),
% 0.13/0.37 inference(miniscoping,[status(esa)],[f199])).
% 0.13/0.37 fof(f449,plain,(
% 0.13/0.37 ![X0]: (~ssItem(X0)|~cons(X0,nil)=sk1|~memberP(sk2,X0)|~neq(sk4,nil))),
% 0.13/0.37 inference(cnf_transformation,[status(esa)],[f448])).
% 0.13/0.37 fof(f450,plain,(
% 0.13/0.37 ssItem(sk5)|~neq(sk4,nil)),
% 0.13/0.37 inference(cnf_transformation,[status(esa)],[f200])).
% 0.13/0.37 fof(f451,plain,(
% 0.13/0.37 ssList(sk6)|~neq(sk4,nil)),
% 0.13/0.37 inference(cnf_transformation,[status(esa)],[f201])).
% 0.13/0.37 fof(f452,plain,(
% 0.13/0.37 cons(sk5,nil)=sk3|~neq(sk4,nil)),
% 0.13/0.37 inference(cnf_transformation,[status(esa)],[f202])).
% 0.13/0.37 fof(f453,plain,(
% 0.13/0.37 app(cons(sk5,nil),sk6)=sk4|~neq(sk4,nil)),
% 0.13/0.37 inference(cnf_transformation,[status(esa)],[f203])).
% 0.13/0.37 fof(f461,plain,(
% 0.13/0.37 spl0_2 <=> neq(sk2,nil)),
% 0.13/0.37 introduced(split_symbol_definition)).
% 0.13/0.37 fof(f462,plain,(
% 0.13/0.37 neq(sk2,nil)|~spl0_2),
% 0.13/0.37 inference(component_clause,[status(thm)],[f461])).
% 0.13/0.37 fof(f464,plain,(
% 0.13/0.37 spl0_2),
% 0.13/0.37 inference(split_clause,[status(thm)],[f440,f461])).
% 0.13/0.37 fof(f465,plain,(
% 0.13/0.37 spl0_3 <=> neq(sk4,nil)),
% 0.13/0.37 introduced(split_symbol_definition)).
% 0.13/0.37 fof(f467,plain,(
% 0.13/0.37 ~neq(sk4,nil)|spl0_3),
% 0.13/0.37 inference(component_clause,[status(thm)],[f465])).
% 0.13/0.37 fof(f469,plain,(
% 0.13/0.37 spl0_4 <=> ~ssItem(X0)|~cons(X0,nil)=sk1|~memberP(sk2,X0)),
% 0.13/0.37 introduced(split_symbol_definition)).
% 0.13/0.37 fof(f470,plain,(
% 0.13/0.37 ![X0]: (~ssItem(X0)|~cons(X0,nil)=sk1|~memberP(sk2,X0)|~spl0_4)),
% 0.13/0.37 inference(component_clause,[status(thm)],[f469])).
% 0.13/0.37 fof(f473,plain,(
% 0.13/0.37 spl0_5 <=> ssItem(sk5)),
% 0.13/0.37 introduced(split_symbol_definition)).
% 0.13/0.37 fof(f477,plain,(
% 0.13/0.37 spl0_6 <=> ssList(sk6)),
% 0.13/0.37 introduced(split_symbol_definition)).
% 0.13/0.37 fof(f481,plain,(
% 0.13/0.37 spl0_7 <=> cons(sk5,nil)=sk3),
% 0.13/0.37 introduced(split_symbol_definition)).
% 0.13/0.37 fof(f482,plain,(
% 0.13/0.37 cons(sk5,nil)=sk3|~spl0_7),
% 0.13/0.37 inference(component_clause,[status(thm)],[f481])).
% 0.13/0.37 fof(f485,plain,(
% 0.13/0.37 spl0_8 <=> app(cons(sk5,nil),sk6)=sk4),
% 0.13/0.37 introduced(split_symbol_definition)).
% 0.13/0.37 fof(f486,plain,(
% 0.13/0.37 app(cons(sk5,nil),sk6)=sk4|~spl0_8),
% 0.13/0.37 inference(component_clause,[status(thm)],[f485])).
% 0.13/0.37 fof(f489,plain,(
% 0.13/0.37 spl0_4|~spl0_3),
% 0.13/0.37 inference(split_clause,[status(thm)],[f449,f469,f465])).
% 0.13/0.37 fof(f490,plain,(
% 0.13/0.37 spl0_5|~spl0_3),
% 0.13/0.37 inference(split_clause,[status(thm)],[f450,f473,f465])).
% 0.13/0.37 fof(f491,plain,(
% 0.13/0.37 spl0_6|~spl0_3),
% 0.13/0.37 inference(split_clause,[status(thm)],[f451,f477,f465])).
% 0.13/0.37 fof(f492,plain,(
% 0.13/0.37 spl0_7|~spl0_3),
% 0.13/0.37 inference(split_clause,[status(thm)],[f452,f481,f465])).
% 0.13/0.37 fof(f493,plain,(
% 0.13/0.37 spl0_8|~spl0_3),
% 0.13/0.37 inference(split_clause,[status(thm)],[f453,f485,f465])).
% 0.13/0.37 fof(f506,plain,(
% 0.13/0.37 ![X2,X1]: (~ssList(X2)|~ssItem(X1)|~ssItem(X1)|memberP(cons(X1,X2),X1))),
% 0.13/0.37 inference(destructive_equality_resolution,[status(esa)],[f356])).
% 0.13/0.37 fof(f507,plain,(
% 0.13/0.37 ![X0,X1]: (~ssList(X0)|~ssItem(X1)|memberP(cons(X1,X0),X1))),
% 0.13/0.37 inference(duplicate_literals_removal,[status(esa)],[f506])).
% 0.13/0.37 fof(f525,plain,(
% 0.13/0.37 ~neq(sk2,nil)|spl0_3),
% 0.13/0.37 inference(forward_demodulation,[status(thm)],[f438,f467])).
% 0.13/0.37 fof(f537,plain,(
% 0.13/0.37 spl0_12 <=> ssList(nil)),
% 0.13/0.37 introduced(split_symbol_definition)).
% 0.13/0.37 fof(f539,plain,(
% 0.13/0.37 ~ssList(nil)|spl0_12),
% 0.13/0.37 inference(component_clause,[status(thm)],[f537])).
% 0.13/0.37 fof(f540,plain,(
% 0.13/0.37 spl0_13 <=> ssList(sk2)),
% 0.13/0.37 introduced(split_symbol_definition)).
% 0.13/0.37 fof(f542,plain,(
% 0.13/0.37 ~ssList(sk2)|spl0_13),
% 0.13/0.37 inference(component_clause,[status(thm)],[f540])).
% 0.13/0.37 fof(f545,plain,(
% 0.13/0.37 $false|spl0_13),
% 0.13/0.37 inference(forward_subsumption_resolution,[status(thm)],[f542,f435])).
% 0.13/0.37 fof(f546,plain,(
% 0.13/0.37 spl0_13),
% 0.13/0.37 inference(contradiction_clause,[status(thm)],[f545])).
% 0.13/0.37 fof(f547,plain,(
% 0.13/0.37 $false|spl0_12),
% 0.13/0.37 inference(forward_subsumption_resolution,[status(thm)],[f539,f211])).
% 0.13/0.37 fof(f548,plain,(
% 0.13/0.37 spl0_12),
% 0.13/0.37 inference(contradiction_clause,[status(thm)],[f547])).
% 0.13/0.37 fof(f549,plain,(
% 0.13/0.37 cons(sk5,nil)=sk1|~spl0_7),
% 0.13/0.37 inference(forward_demodulation,[status(thm)],[f439,f482])).
% 0.13/0.37 fof(f550,plain,(
% 0.13/0.37 app(cons(sk5,nil),sk6)=sk2|~spl0_8),
% 0.13/0.37 inference(forward_demodulation,[status(thm)],[f438,f486])).
% 0.13/0.37 fof(f552,plain,(
% 0.13/0.37 spl0_14 <=> memberP(sk2,sk5)),
% 0.13/0.37 introduced(split_symbol_definition)).
% 0.13/0.37 fof(f555,plain,(
% 0.13/0.37 ~ssItem(sk5)|~memberP(sk2,sk5)|~spl0_7|~spl0_4),
% 0.13/0.37 inference(resolution,[status(thm)],[f549,f470])).
% 0.13/0.37 fof(f556,plain,(
% 0.13/0.37 ~spl0_5|~spl0_14|~spl0_7|~spl0_4),
% 0.13/0.37 inference(split_clause,[status(thm)],[f555,f473,f552,f481,f469])).
% 0.13/0.37 fof(f574,plain,(
% 0.13/0.37 app(sk1,sk6)=sk2|~spl0_7|~spl0_8),
% 0.13/0.37 inference(forward_demodulation,[status(thm)],[f549,f550])).
% 0.13/0.37 fof(f736,plain,(
% 0.13/0.37 spl0_35 <=> sk2=sk2),
% 0.13/0.37 introduced(split_symbol_definition)).
% 0.13/0.37 fof(f738,plain,(
% 0.13/0.37 ~sk2=sk2|spl0_35),
% 0.13/0.37 inference(component_clause,[status(thm)],[f736])).
% 0.13/0.37 fof(f777,plain,(
% 0.13/0.37 spl0_37 <=> ~ssList(X0)|app(sk1,X0)=cons(sk5,X0)),
% 0.13/0.37 introduced(split_symbol_definition)).
% 0.13/0.37 fof(f778,plain,(
% 0.13/0.37 ![X0]: (~ssList(X0)|app(sk1,X0)=cons(sk5,X0)|~spl0_37)),
% 0.13/0.37 inference(component_clause,[status(thm)],[f777])).
% 0.13/0.37 fof(f780,plain,(
% 0.13/0.37 ![X0]: (~ssItem(sk5)|~ssList(X0)|app(sk1,X0)=cons(sk5,X0)|~spl0_7)),
% 0.13/0.37 inference(paramodulation,[status(thm)],[f549,f334])).
% 0.13/0.37 fof(f781,plain,(
% 0.13/0.37 ~spl0_5|spl0_37|~spl0_7),
% 0.13/0.37 inference(split_clause,[status(thm)],[f780,f473,f777,f481])).
% 0.13/0.37 fof(f849,plain,(
% 0.13/0.37 spl0_48 <=> sk2=cons(sk5,sk6)),
% 0.13/0.37 introduced(split_symbol_definition)).
% 0.13/0.37 fof(f850,plain,(
% 0.13/0.37 sk2=cons(sk5,sk6)|~spl0_48),
% 0.13/0.37 inference(component_clause,[status(thm)],[f849])).
% 0.13/0.37 fof(f852,plain,(
% 0.13/0.37 ~ssList(sk6)|sk2=cons(sk5,sk6)|~spl0_37|~spl0_7|~spl0_8),
% 0.13/0.37 inference(paramodulation,[status(thm)],[f574,f778])).
% 0.13/0.37 fof(f853,plain,(
% 0.13/0.37 ~spl0_6|spl0_48|~spl0_37|~spl0_7|~spl0_8),
% 0.13/0.37 inference(split_clause,[status(thm)],[f852,f477,f849,f777,f481,f485])).
% 0.13/0.37 fof(f880,plain,(
% 0.13/0.37 ~ssList(sk6)|~ssItem(sk5)|memberP(sk2,sk5)|~spl0_48),
% 0.13/0.37 inference(paramodulation,[status(thm)],[f850,f507])).
% 0.13/0.37 fof(f881,plain,(
% 0.13/0.37 ~spl0_6|~spl0_5|spl0_14|~spl0_48),
% 0.13/0.37 inference(split_clause,[status(thm)],[f880,f477,f473,f552,f849])).
% 0.13/0.37 fof(f893,plain,(
% 0.13/0.37 $false|spl0_35),
% 0.13/0.37 inference(trivial_equality_resolution,[status(esa)],[f738])).
% 0.13/0.38 fof(f894,plain,(
% 0.13/0.38 spl0_35),
% 0.13/0.38 inference(contradiction_clause,[status(thm)],[f893])).
% 0.13/0.38 fof(f897,plain,(
% 0.13/0.38 $false|~spl0_2|spl0_3),
% 0.13/0.38 inference(forward_subsumption_resolution,[status(thm)],[f525,f462])).
% 0.13/0.38 fof(f898,plain,(
% 0.13/0.38 ~spl0_2|spl0_3),
% 0.13/0.38 inference(contradiction_clause,[status(thm)],[f897])).
% 0.13/0.38 fof(f899,plain,(
% 0.13/0.38 $false),
% 0.13/0.38 inference(sat_refutation,[status(thm)],[f464,f489,f490,f491,f492,f493,f546,f548,f556,f781,f853,f881,f894,f898])).
% 0.13/0.38 % SZS output end CNFRefutation for theBenchmark.p
% 0.13/0.39 % Elapsed time: 0.034330 seconds
% 0.13/0.39 % CPU time: 0.090719 seconds
% 0.13/0.39 % Total memory used: 19.470 MB
% 0.13/0.39 % Net memory used: 19.231 MB
%------------------------------------------------------------------------------