TSTP Solution File: SWC357-1 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : SWC357-1 : TPTP v8.1.2. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n028.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 12:40:10 EDT 2023
% Result : Unsatisfiable 3.67s 0.86s
% Output : CNFRefutation 3.67s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : SWC357-1 : TPTP v8.1.2. Released v2.4.0.
% 0.11/0.12 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.12/0.33 % Computer : n028.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Tue May 30 11:35:32 EDT 2023
% 0.12/0.33 % CPUTime :
% 0.12/0.35 % Drodi V3.5.1
% 3.67/0.86 % Refutation found
% 3.67/0.86 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 3.67/0.86 % SZS output start CNFRefutation for theBenchmark
% 3.67/0.86 fof(f8,axiom,(
% 3.67/0.86 ssList(nil) ),
% 3.67/0.86 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.67/0.86 fof(f51,axiom,(
% 3.67/0.86 (![U,V]: (ssList(skaf45(U,V)) ))),
% 3.67/0.86 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.67/0.86 fof(f74,axiom,(
% 3.67/0.86 (![U]: (( ~ ssList(U)| app(nil,U) = U ) ))),
% 3.67/0.86 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.67/0.86 fof(f85,axiom,(
% 3.67/0.86 (![U,V]: (( ~ ssList(U)| ~ ssList(V)| ssList(app(V,U)) ) ))),
% 3.67/0.86 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.67/0.86 fof(f115,axiom,(
% 3.67/0.86 (![U,V]: (( U != V| ~ neq(U,V)| ~ ssList(V)| ~ ssList(U) ) ))),
% 3.67/0.86 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.67/0.86 fof(f132,axiom,(
% 3.67/0.86 (![U,V]: (( ~ frontsegP(U,V)| ~ ssList(V)| ~ ssList(U)| app(V,skaf45(U,V)) = U ) ))),
% 3.67/0.86 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.67/0.86 fof(f173,axiom,(
% 3.67/0.86 (![U,V,W,X]: (( app(app(U,V),W) != X| ~ ssList(W)| ~ ssList(U)| ~ ssList(V)| ~ ssList(X)| segmentP(X,V) ) ))),
% 3.67/0.86 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.67/0.86 fof(f186,negated_conjecture,(
% 3.67/0.86 ssList(sk1) ),
% 3.67/0.86 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.67/0.86 fof(f187,negated_conjecture,(
% 3.67/0.86 ssList(sk2) ),
% 3.67/0.86 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.67/0.86 fof(f190,negated_conjecture,(
% 3.67/0.86 sk2 = sk4 ),
% 3.67/0.86 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.67/0.86 fof(f191,negated_conjecture,(
% 3.67/0.86 sk1 = sk3 ),
% 3.67/0.86 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.67/0.86 fof(f192,negated_conjecture,(
% 3.67/0.86 neq(sk2,nil) ),
% 3.67/0.86 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.67/0.86 fof(f193,negated_conjecture,(
% 3.67/0.86 ~ segmentP(sk2,sk1) ),
% 3.67/0.86 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.67/0.86 fof(f195,negated_conjecture,(
% 3.67/0.86 ( nil = sk4| frontsegP(sk4,sk3) ) ),
% 3.67/0.86 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.67/0.86 fof(f205,plain,(
% 3.67/0.86 ssList(nil)),
% 3.67/0.86 inference(cnf_transformation,[status(esa)],[f8])).
% 3.67/0.86 fof(f248,plain,(
% 3.67/0.86 ![X0,X1]: (ssList(skaf45(X0,X1)))),
% 3.67/0.87 inference(cnf_transformation,[status(esa)],[f51])).
% 3.67/0.87 fof(f272,plain,(
% 3.67/0.87 ![X0]: (~ssList(X0)|app(nil,X0)=X0)),
% 3.67/0.87 inference(cnf_transformation,[status(esa)],[f74])).
% 3.67/0.87 fof(f283,plain,(
% 3.67/0.87 ![X0,X1]: (~ssList(X0)|~ssList(X1)|ssList(app(X1,X0)))),
% 3.67/0.87 inference(cnf_transformation,[status(esa)],[f85])).
% 3.67/0.87 fof(f318,plain,(
% 3.67/0.87 ![U]: ((![V]: ((~U=V|~neq(U,V))|~ssList(V)))|~ssList(U))),
% 3.67/0.87 inference(miniscoping,[status(esa)],[f115])).
% 3.67/0.87 fof(f319,plain,(
% 3.67/0.87 ![X0,X1]: (~X0=X1|~neq(X0,X1)|~ssList(X1)|~ssList(X0))),
% 3.67/0.87 inference(cnf_transformation,[status(esa)],[f318])).
% 3.67/0.87 fof(f342,plain,(
% 3.67/0.87 ![X0,X1]: (~frontsegP(X0,X1)|~ssList(X1)|~ssList(X0)|app(X1,skaf45(X0,X1))=X0)),
% 3.67/0.87 inference(cnf_transformation,[status(esa)],[f132])).
% 3.67/0.87 fof(f403,plain,(
% 3.67/0.87 ![V,X]: ((((![U]: ((![W]: (~app(app(U,V),W)=X|~ssList(W)))|~ssList(U)))|~ssList(V))|~ssList(X))|segmentP(X,V))),
% 3.67/0.87 inference(miniscoping,[status(esa)],[f173])).
% 3.67/0.87 fof(f404,plain,(
% 3.67/0.87 ![X0,X1,X2,X3]: (~app(app(X0,X1),X2)=X3|~ssList(X2)|~ssList(X0)|~ssList(X1)|~ssList(X3)|segmentP(X3,X1))),
% 3.67/0.87 inference(cnf_transformation,[status(esa)],[f403])).
% 3.67/0.87 fof(f428,plain,(
% 3.67/0.87 ssList(sk1)),
% 3.67/0.87 inference(cnf_transformation,[status(esa)],[f186])).
% 3.67/0.87 fof(f429,plain,(
% 3.67/0.87 ssList(sk2)),
% 3.67/0.87 inference(cnf_transformation,[status(esa)],[f187])).
% 3.67/0.87 fof(f432,plain,(
% 3.67/0.87 sk2=sk4),
% 3.67/0.87 inference(cnf_transformation,[status(esa)],[f190])).
% 3.67/0.87 fof(f433,plain,(
% 3.67/0.87 sk1=sk3),
% 3.67/0.87 inference(cnf_transformation,[status(esa)],[f191])).
% 3.67/0.87 fof(f434,plain,(
% 3.67/0.87 neq(sk2,nil)),
% 3.67/0.87 inference(cnf_transformation,[status(esa)],[f192])).
% 3.67/0.87 fof(f435,plain,(
% 3.67/0.87 ~segmentP(sk2,sk1)),
% 3.67/0.87 inference(cnf_transformation,[status(esa)],[f193])).
% 3.67/0.87 fof(f437,plain,(
% 3.67/0.87 nil=sk4|frontsegP(sk4,sk3)),
% 3.67/0.87 inference(cnf_transformation,[status(esa)],[f195])).
% 3.67/0.87 fof(f447,plain,(
% 3.67/0.87 spl0_2 <=> nil=sk4),
% 3.67/0.87 introduced(split_symbol_definition)).
% 3.67/0.87 fof(f448,plain,(
% 3.67/0.87 nil=sk4|~spl0_2),
% 3.67/0.87 inference(component_clause,[status(thm)],[f447])).
% 3.67/0.87 fof(f454,plain,(
% 3.67/0.87 spl0_4 <=> frontsegP(sk4,sk3)),
% 3.67/0.87 introduced(split_symbol_definition)).
% 3.67/0.87 fof(f455,plain,(
% 3.67/0.87 frontsegP(sk4,sk3)|~spl0_4),
% 3.67/0.87 inference(component_clause,[status(thm)],[f454])).
% 3.67/0.87 fof(f457,plain,(
% 3.67/0.87 spl0_2|spl0_4),
% 3.67/0.87 inference(split_clause,[status(thm)],[f437,f447,f454])).
% 3.67/0.87 fof(f470,plain,(
% 3.67/0.87 ![X1]: (~neq(X1,X1)|~ssList(X1)|~ssList(X1))),
% 3.67/0.87 inference(destructive_equality_resolution,[status(esa)],[f319])).
% 3.67/0.87 fof(f471,plain,(
% 3.67/0.87 ![X0]: (~neq(X0,X0)|~ssList(X0))),
% 3.67/0.87 inference(duplicate_literals_removal,[status(esa)],[f470])).
% 3.67/0.87 fof(f481,plain,(
% 3.67/0.87 ![X0,X1,X2]: (~ssList(X0)|~ssList(X1)|~ssList(X2)|~ssList(app(app(X1,X2),X0))|segmentP(app(app(X1,X2),X0),X2))),
% 3.67/0.87 inference(destructive_equality_resolution,[status(esa)],[f404])).
% 3.67/0.87 fof(f493,plain,(
% 3.67/0.87 spl0_6 <=> ssList(nil)),
% 3.67/0.87 introduced(split_symbol_definition)).
% 3.67/0.87 fof(f495,plain,(
% 3.67/0.87 ~ssList(nil)|spl0_6),
% 3.67/0.87 inference(component_clause,[status(thm)],[f493])).
% 3.67/0.87 fof(f503,plain,(
% 3.67/0.87 $false|spl0_6),
% 3.67/0.87 inference(forward_subsumption_resolution,[status(thm)],[f495,f205])).
% 3.67/0.87 fof(f504,plain,(
% 3.67/0.87 spl0_6),
% 3.67/0.87 inference(contradiction_clause,[status(thm)],[f503])).
% 3.67/0.87 fof(f522,plain,(
% 3.67/0.87 nil=sk2|~spl0_2),
% 3.67/0.87 inference(forward_demodulation,[status(thm)],[f432,f448])).
% 3.67/0.87 fof(f525,plain,(
% 3.67/0.87 neq(nil,nil)|~spl0_2),
% 3.67/0.87 inference(backward_demodulation,[status(thm)],[f522,f434])).
% 3.67/0.87 fof(f527,plain,(
% 3.67/0.87 ~ssList(nil)|~spl0_2),
% 3.67/0.87 inference(resolution,[status(thm)],[f525,f471])).
% 3.67/0.87 fof(f528,plain,(
% 3.67/0.87 ~spl0_6|~spl0_2),
% 3.67/0.87 inference(split_clause,[status(thm)],[f527,f493,f447])).
% 3.67/0.87 fof(f541,plain,(
% 3.67/0.87 frontsegP(sk4,sk1)|~spl0_4),
% 3.67/0.87 inference(backward_demodulation,[status(thm)],[f433,f455])).
% 3.67/0.87 fof(f549,plain,(
% 3.67/0.87 frontsegP(sk2,sk1)|~spl0_4),
% 3.67/0.87 inference(backward_demodulation,[status(thm)],[f432,f541])).
% 3.67/0.87 fof(f580,plain,(
% 3.67/0.87 spl0_10 <=> ssList(sk1)),
% 3.67/0.87 introduced(split_symbol_definition)).
% 3.67/0.87 fof(f582,plain,(
% 3.67/0.87 ~ssList(sk1)|spl0_10),
% 3.67/0.87 inference(component_clause,[status(thm)],[f580])).
% 3.67/0.87 fof(f583,plain,(
% 3.67/0.87 spl0_11 <=> ssList(sk2)),
% 3.67/0.87 introduced(split_symbol_definition)).
% 3.67/0.87 fof(f585,plain,(
% 3.67/0.87 ~ssList(sk2)|spl0_11),
% 3.67/0.87 inference(component_clause,[status(thm)],[f583])).
% 3.67/0.87 fof(f596,plain,(
% 3.67/0.87 $false|spl0_11),
% 3.67/0.87 inference(forward_subsumption_resolution,[status(thm)],[f585,f429])).
% 3.67/0.87 fof(f597,plain,(
% 3.67/0.87 spl0_11),
% 3.67/0.87 inference(contradiction_clause,[status(thm)],[f596])).
% 3.67/0.87 fof(f599,plain,(
% 3.67/0.87 $false|spl0_10),
% 3.67/0.87 inference(forward_subsumption_resolution,[status(thm)],[f582,f428])).
% 3.67/0.87 fof(f600,plain,(
% 3.67/0.87 spl0_10),
% 3.67/0.87 inference(contradiction_clause,[status(thm)],[f599])).
% 3.67/0.87 fof(f622,plain,(
% 3.67/0.87 app(nil,sk1)=sk1),
% 3.67/0.87 inference(resolution,[status(thm)],[f272,f428])).
% 3.67/0.87 fof(f651,plain,(
% 3.67/0.87 ![X0]: (~ssList(X0)|ssList(app(sk1,X0)))),
% 3.67/0.87 inference(resolution,[status(thm)],[f283,f428])).
% 3.67/0.87 fof(f2290,plain,(
% 3.67/0.87 spl0_210 <=> ~ssList(X0)|~ssList(app(sk1,X0))|segmentP(app(app(nil,sk1),X0),sk1)),
% 3.67/0.87 introduced(split_symbol_definition)).
% 3.67/0.87 fof(f2291,plain,(
% 3.67/0.87 ![X0]: (~ssList(X0)|~ssList(app(sk1,X0))|segmentP(app(app(nil,sk1),X0),sk1)|~spl0_210)),
% 3.67/0.87 inference(component_clause,[status(thm)],[f2290])).
% 3.67/0.87 fof(f2293,plain,(
% 3.67/0.87 ![X0]: (~ssList(X0)|~ssList(nil)|~ssList(sk1)|~ssList(app(sk1,X0))|segmentP(app(app(nil,sk1),X0),sk1))),
% 3.67/0.87 inference(paramodulation,[status(thm)],[f622,f481])).
% 3.67/0.87 fof(f2294,plain,(
% 3.67/0.87 spl0_210|~spl0_6|~spl0_10),
% 3.67/0.87 inference(split_clause,[status(thm)],[f2293,f2290,f493,f580])).
% 3.67/0.87 fof(f2307,plain,(
% 3.67/0.87 ![X0]: (~ssList(X0)|~ssList(app(sk1,X0))|segmentP(app(sk1,X0),sk1)|~spl0_210)),
% 3.67/0.87 inference(forward_demodulation,[status(thm)],[f622,f2291])).
% 3.67/0.87 fof(f2308,plain,(
% 3.67/0.87 ![X0]: (~ssList(X0)|segmentP(app(sk1,X0),sk1)|~spl0_210)),
% 3.67/0.87 inference(forward_subsumption_resolution,[status(thm)],[f2307,f651])).
% 3.67/0.87 fof(f3288,plain,(
% 3.67/0.87 spl0_336 <=> app(sk1,skaf45(sk2,sk1))=sk2),
% 3.67/0.87 introduced(split_symbol_definition)).
% 3.67/0.87 fof(f3289,plain,(
% 3.67/0.87 app(sk1,skaf45(sk2,sk1))=sk2|~spl0_336),
% 3.67/0.87 inference(component_clause,[status(thm)],[f3288])).
% 3.67/0.87 fof(f3291,plain,(
% 3.67/0.87 ~ssList(sk1)|~ssList(sk2)|app(sk1,skaf45(sk2,sk1))=sk2|~spl0_4),
% 3.67/0.87 inference(resolution,[status(thm)],[f342,f549])).
% 3.67/0.87 fof(f3292,plain,(
% 3.67/0.87 ~spl0_10|~spl0_11|spl0_336|~spl0_4),
% 3.67/0.87 inference(split_clause,[status(thm)],[f3291,f580,f583,f3288,f454])).
% 3.67/0.87 fof(f3947,plain,(
% 3.67/0.87 spl0_340 <=> ssList(skaf45(sk2,sk1))),
% 3.67/0.87 introduced(split_symbol_definition)).
% 3.67/0.87 fof(f3949,plain,(
% 3.67/0.87 ~ssList(skaf45(sk2,sk1))|spl0_340),
% 3.67/0.87 inference(component_clause,[status(thm)],[f3947])).
% 3.67/0.87 fof(f3955,plain,(
% 3.67/0.87 spl0_342 <=> segmentP(sk2,sk1)),
% 3.67/0.87 introduced(split_symbol_definition)).
% 3.67/0.87 fof(f3956,plain,(
% 3.67/0.87 segmentP(sk2,sk1)|~spl0_342),
% 3.67/0.87 inference(component_clause,[status(thm)],[f3955])).
% 3.67/0.87 fof(f3958,plain,(
% 3.67/0.87 ~ssList(skaf45(sk2,sk1))|segmentP(sk2,sk1)|~spl0_210|~spl0_336),
% 3.67/0.87 inference(paramodulation,[status(thm)],[f3289,f2308])).
% 3.67/0.87 fof(f3959,plain,(
% 3.67/0.87 ~spl0_340|spl0_342|~spl0_210|~spl0_336),
% 3.67/0.87 inference(split_clause,[status(thm)],[f3958,f3947,f3955,f2290,f3288])).
% 3.67/0.87 fof(f4011,plain,(
% 3.67/0.87 $false|spl0_340),
% 3.67/0.87 inference(forward_subsumption_resolution,[status(thm)],[f3949,f248])).
% 3.67/0.87 fof(f4012,plain,(
% 3.67/0.87 spl0_340),
% 3.67/0.87 inference(contradiction_clause,[status(thm)],[f4011])).
% 3.67/0.87 fof(f4016,plain,(
% 3.67/0.87 $false|~spl0_342),
% 3.67/0.87 inference(forward_subsumption_resolution,[status(thm)],[f3956,f435])).
% 3.67/0.87 fof(f4017,plain,(
% 3.67/0.87 ~spl0_342),
% 3.67/0.87 inference(contradiction_clause,[status(thm)],[f4016])).
% 3.67/0.87 fof(f4018,plain,(
% 3.67/0.87 $false),
% 3.67/0.87 inference(sat_refutation,[status(thm)],[f457,f504,f528,f597,f600,f2294,f3292,f3959,f4012,f4017])).
% 3.67/0.87 % SZS output end CNFRefutation for theBenchmark.p
% 3.67/0.89 % Elapsed time: 0.541217 seconds
% 3.67/0.89 % CPU time: 3.769196 seconds
% 3.67/0.89 % Memory used: 97.485 MB
%------------------------------------------------------------------------------