TSTP Solution File: SWC109-1 by Drodi---3.6.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : SWC109-1 : TPTP v8.1.2. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n008.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 20:44:33 EDT 2024
% Result : Unsatisfiable 0.15s 0.40s
% Output : CNFRefutation 0.15s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.10 % Problem : SWC109-1 : TPTP v8.1.2. Released v2.4.0.
% 0.02/0.10 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.10/0.30 % Computer : n008.cluster.edu
% 0.10/0.30 % Model : x86_64 x86_64
% 0.10/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30 % Memory : 8042.1875MB
% 0.10/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.30 % CPULimit : 300
% 0.10/0.30 % WCLimit : 300
% 0.10/0.30 % DateTime : Tue Apr 30 00:07:12 EDT 2024
% 0.10/0.30 % CPUTime :
% 0.15/0.31 % Drodi V3.6.0
% 0.15/0.40 % Refutation found
% 0.15/0.40 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.15/0.40 % SZS output start CNFRefutation for theBenchmark
% 0.15/0.40 fof(f8,axiom,(
% 0.15/0.40 ssList(nil) ),
% 0.15/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.40 fof(f56,axiom,(
% 0.15/0.40 (![U]: (( ~ ssList(U)| segmentP(U,nil) ) ))),
% 0.15/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.40 fof(f57,axiom,(
% 0.15/0.40 (![U]: (( ~ ssList(U)| segmentP(U,U) ) ))),
% 0.15/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.40 fof(f73,axiom,(
% 0.15/0.40 (![U]: (( ~ ssList(U)| app(U,nil) = U ) ))),
% 0.15/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.40 fof(f74,axiom,(
% 0.15/0.40 (![U]: (( ~ ssList(U)| app(nil,U) = U ) ))),
% 0.15/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.40 fof(f80,axiom,(
% 0.15/0.40 (![U]: (( ~ segmentP(nil,U)| ~ ssList(U)| nil = U ) ))),
% 0.15/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.40 fof(f85,axiom,(
% 0.15/0.40 (![U,V]: (( ~ ssList(U)| ~ ssList(V)| ssList(app(V,U)) ) ))),
% 0.15/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.40 fof(f99,axiom,(
% 0.15/0.40 (![U,V]: (( cons(U,V) != V| ~ ssItem(U)| ~ ssList(V) ) ))),
% 0.15/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.40 fof(f100,axiom,(
% 0.15/0.40 (![U,V]: (( ~ ssList(U)| ~ ssList(V)| neq(V,U)| V = U ) ))),
% 0.15/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.40 fof(f118,axiom,(
% 0.15/0.40 (![U,V]: (( app(U,V) != nil| ~ ssList(V)| ~ ssList(U)| nil = U ) ))),
% 0.15/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.40 fof(f119,axiom,(
% 0.15/0.40 (![U,V]: (( app(U,V) != nil| ~ ssList(V)| ~ ssList(U)| nil = V ) ))),
% 0.15/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.40 fof(f127,axiom,(
% 0.15/0.40 (![U,V]: (( ~ segmentP(U,V)| ~ segmentP(V,U)| ~ ssList(U)| ~ ssList(V)| V = U ) ))),
% 0.15/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.40 fof(f150,axiom,(
% 0.15/0.40 (![U,V,W]: (( app(U,V) != app(U,W)| ~ ssList(V)| ~ ssList(U)| ~ ssList(W)| V = W ) ))),
% 0.15/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.40 fof(f151,axiom,(
% 0.15/0.40 (![U,V,W]: (( app(U,V) != app(W,V)| ~ ssList(U)| ~ ssList(V)| ~ ssList(W)| U = W ) ))),
% 0.15/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.40 fof(f152,axiom,(
% 0.15/0.40 (![U,V,W]: (( ~ segmentP(U,V)| ~ segmentP(V,W)| ~ ssList(W)| ~ ssList(V)| ~ ssList(U)| segmentP(U,W) ) ))),
% 0.15/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.40 fof(f172,axiom,(
% 0.15/0.40 (![U,V,W,X]: (( ~ segmentP(U,V)| ~ ssList(W)| ~ ssList(X)| ~ ssList(V)| ~ ssList(U)| segmentP(app(app(X,U),W),V) ) ))),
% 0.15/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.40 fof(f186,negated_conjecture,(
% 0.15/0.40 ssList(sk1) ),
% 0.15/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.40 fof(f190,negated_conjecture,(
% 0.15/0.40 sk2 = sk4 ),
% 0.15/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.40 fof(f191,negated_conjecture,(
% 0.15/0.40 sk1 = sk3 ),
% 0.15/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.40 fof(f192,negated_conjecture,(
% 0.15/0.40 ( ssItem(sk5)| nil = sk4 ) ),
% 0.15/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.40 fof(f193,negated_conjecture,(
% 0.15/0.40 ( ssItem(sk5)| nil = sk3 ) ),
% 0.15/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.40 fof(f194,negated_conjecture,(
% 0.15/0.40 ( ssList(sk6)| nil = sk4 ) ),
% 0.15/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.40 fof(f196,negated_conjecture,(
% 0.15/0.40 ( cons(sk5,nil) = sk3| nil = sk4 ) ),
% 0.15/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.40 fof(f200,negated_conjecture,(
% 0.15/0.40 ( ssList(sk6)| nil = sk3 ) ),
% 0.15/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.40 fof(f201,negated_conjecture,(
% 0.15/0.40 ( ssList(sk7)| nil = sk3 ) ),
% 0.15/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.40 fof(f202,negated_conjecture,(
% 0.15/0.40 ( cons(sk5,nil) = sk3| nil = sk3 ) ),
% 0.15/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.40 fof(f203,negated_conjecture,(
% 0.15/0.40 ( app(app(sk6,sk3),sk7) = sk4| nil = sk3 ) ),
% 0.15/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.40 fof(f207,negated_conjecture,(
% 0.15/0.40 ( nil = sk2| ~ neq(sk1,nil)| ~ segmentP(sk2,sk1) ) ),
% 0.15/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.40 fof(f208,negated_conjecture,(
% 0.15/0.40 ( nil != sk1| neq(sk2,nil) ) ),
% 0.15/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.40 fof(f209,negated_conjecture,(
% 0.15/0.40 ( nil != sk1| ~ neq(sk1,nil)| ~ segmentP(sk2,sk1) ) ),
% 0.15/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.40 fof(f217,plain,(
% 0.15/0.40 ssList(nil)),
% 0.15/0.40 inference(cnf_transformation,[status(esa)],[f8])).
% 0.15/0.40 fof(f265,plain,(
% 0.15/0.40 ![X0]: (~ssList(X0)|segmentP(X0,nil))),
% 0.15/0.40 inference(cnf_transformation,[status(esa)],[f56])).
% 0.15/0.40 fof(f266,plain,(
% 0.15/0.40 ![X0]: (~ssList(X0)|segmentP(X0,X0))),
% 0.15/0.40 inference(cnf_transformation,[status(esa)],[f57])).
% 0.15/0.40 fof(f283,plain,(
% 0.15/0.40 ![X0]: (~ssList(X0)|app(X0,nil)=X0)),
% 0.15/0.40 inference(cnf_transformation,[status(esa)],[f73])).
% 0.15/0.40 fof(f284,plain,(
% 0.15/0.40 ![X0]: (~ssList(X0)|app(nil,X0)=X0)),
% 0.15/0.40 inference(cnf_transformation,[status(esa)],[f74])).
% 0.15/0.40 fof(f290,plain,(
% 0.15/0.40 ![X0]: (~segmentP(nil,X0)|~ssList(X0)|nil=X0)),
% 0.15/0.40 inference(cnf_transformation,[status(esa)],[f80])).
% 0.15/0.40 fof(f295,plain,(
% 0.15/0.40 ![X0,X1]: (~ssList(X0)|~ssList(X1)|ssList(app(X1,X0)))),
% 0.15/0.40 inference(cnf_transformation,[status(esa)],[f85])).
% 0.15/0.40 fof(f310,plain,(
% 0.15/0.40 ![V]: ((![U]: (~cons(U,V)=V|~ssItem(U)))|~ssList(V))),
% 0.15/0.40 inference(miniscoping,[status(esa)],[f99])).
% 0.15/0.40 fof(f311,plain,(
% 0.15/0.40 ![X0,X1]: (~cons(X0,X1)=X1|~ssItem(X0)|~ssList(X1))),
% 0.15/0.40 inference(cnf_transformation,[status(esa)],[f310])).
% 0.15/0.40 fof(f312,plain,(
% 0.15/0.40 ![X0,X1]: (~ssList(X0)|~ssList(X1)|neq(X1,X0)|X1=X0)),
% 0.15/0.40 inference(cnf_transformation,[status(esa)],[f100])).
% 0.15/0.40 fof(f336,plain,(
% 0.15/0.40 ![U]: (((![V]: (~app(U,V)=nil|~ssList(V)))|~ssList(U))|nil=U)),
% 0.15/0.40 inference(miniscoping,[status(esa)],[f118])).
% 0.15/0.40 fof(f337,plain,(
% 0.15/0.40 ![X0,X1]: (~app(X0,X1)=nil|~ssList(X1)|~ssList(X0)|nil=X0)),
% 0.15/0.40 inference(cnf_transformation,[status(esa)],[f336])).
% 0.15/0.40 fof(f338,plain,(
% 0.15/0.40 ![V]: ((![U]: ((~app(U,V)=nil|~ssList(V))|~ssList(U)))|nil=V)),
% 0.15/0.40 inference(miniscoping,[status(esa)],[f119])).
% 0.15/0.40 fof(f339,plain,(
% 0.15/0.40 ![X0,X1]: (~app(X0,X1)=nil|~ssList(X1)|~ssList(X0)|nil=X1)),
% 0.15/0.40 inference(cnf_transformation,[status(esa)],[f338])).
% 0.15/0.40 fof(f349,plain,(
% 0.15/0.40 ![X0,X1]: (~segmentP(X0,X1)|~segmentP(X1,X0)|~ssList(X0)|~ssList(X1)|X1=X0)),
% 0.15/0.40 inference(cnf_transformation,[status(esa)],[f127])).
% 0.15/0.40 fof(f379,plain,(
% 0.15/0.40 ![V,W]: (((![U]: ((~app(U,V)=app(U,W)|~ssList(V))|~ssList(U)))|~ssList(W))|V=W)),
% 0.15/0.40 inference(miniscoping,[status(esa)],[f150])).
% 0.15/0.40 fof(f380,plain,(
% 0.15/0.40 ![X0,X1,X2]: (~app(X0,X1)=app(X0,X2)|~ssList(X1)|~ssList(X0)|~ssList(X2)|X1=X2)),
% 0.15/0.40 inference(cnf_transformation,[status(esa)],[f379])).
% 0.15/0.40 fof(f381,plain,(
% 0.15/0.40 ![U,W]: (((![V]: ((~app(U,V)=app(W,V)|~ssList(U))|~ssList(V)))|~ssList(W))|U=W)),
% 0.15/0.40 inference(miniscoping,[status(esa)],[f151])).
% 0.15/0.40 fof(f382,plain,(
% 0.15/0.40 ![X0,X1,X2]: (~app(X0,X1)=app(X2,X1)|~ssList(X0)|~ssList(X1)|~ssList(X2)|X0=X2)),
% 0.15/0.40 inference(cnf_transformation,[status(esa)],[f381])).
% 0.15/0.40 fof(f383,plain,(
% 0.15/0.40 ![U,W]: (((![V]: (((~segmentP(U,V)|~segmentP(V,W))|~ssList(W))|~ssList(V)))|~ssList(U))|segmentP(U,W))),
% 0.15/0.40 inference(miniscoping,[status(esa)],[f152])).
% 0.15/0.40 fof(f384,plain,(
% 0.15/0.40 ![X0,X1,X2]: (~segmentP(X0,X1)|~segmentP(X1,X2)|~ssList(X2)|~ssList(X1)|~ssList(X0)|segmentP(X0,X2))),
% 0.15/0.40 inference(cnf_transformation,[status(esa)],[f383])).
% 0.15/0.40 fof(f414,plain,(
% 0.15/0.40 ![X0,X1,X2,X3]: (~segmentP(X0,X1)|~ssList(X2)|~ssList(X3)|~ssList(X1)|~ssList(X0)|segmentP(app(app(X3,X0),X2),X1))),
% 0.15/0.40 inference(cnf_transformation,[status(esa)],[f172])).
% 0.15/0.40 fof(f440,plain,(
% 0.15/0.40 ssList(sk1)),
% 0.15/0.40 inference(cnf_transformation,[status(esa)],[f186])).
% 0.15/0.40 fof(f444,plain,(
% 0.15/0.40 sk2=sk4),
% 0.15/0.40 inference(cnf_transformation,[status(esa)],[f190])).
% 0.15/0.40 fof(f445,plain,(
% 0.15/0.40 sk1=sk3),
% 0.15/0.40 inference(cnf_transformation,[status(esa)],[f191])).
% 0.15/0.40 fof(f446,plain,(
% 0.15/0.40 ssItem(sk5)|nil=sk4),
% 0.15/0.40 inference(cnf_transformation,[status(esa)],[f192])).
% 0.15/0.40 fof(f447,plain,(
% 0.15/0.40 ssItem(sk5)|nil=sk3),
% 0.15/0.40 inference(cnf_transformation,[status(esa)],[f193])).
% 0.15/0.40 fof(f448,plain,(
% 0.15/0.40 ssList(sk6)|nil=sk4),
% 0.15/0.40 inference(cnf_transformation,[status(esa)],[f194])).
% 0.15/0.40 fof(f450,plain,(
% 0.15/0.40 cons(sk5,nil)=sk3|nil=sk4),
% 0.15/0.40 inference(cnf_transformation,[status(esa)],[f196])).
% 0.15/0.40 fof(f456,plain,(
% 0.15/0.40 ssList(sk6)|nil=sk3),
% 0.15/0.40 inference(cnf_transformation,[status(esa)],[f200])).
% 0.15/0.40 fof(f457,plain,(
% 0.15/0.40 ssList(sk7)|nil=sk3),
% 0.15/0.40 inference(cnf_transformation,[status(esa)],[f201])).
% 0.15/0.40 fof(f458,plain,(
% 0.15/0.40 cons(sk5,nil)=sk3|nil=sk3),
% 0.15/0.40 inference(cnf_transformation,[status(esa)],[f202])).
% 0.15/0.40 fof(f459,plain,(
% 0.15/0.40 app(app(sk6,sk3),sk7)=sk4|nil=sk3),
% 0.15/0.40 inference(cnf_transformation,[status(esa)],[f203])).
% 0.15/0.40 fof(f465,plain,(
% 0.15/0.40 nil=sk2|~neq(sk1,nil)|~segmentP(sk2,sk1)),
% 0.15/0.40 inference(cnf_transformation,[status(esa)],[f207])).
% 0.15/0.40 fof(f466,plain,(
% 0.15/0.40 ~nil=sk1|neq(sk2,nil)),
% 0.15/0.40 inference(cnf_transformation,[status(esa)],[f208])).
% 0.15/0.40 fof(f467,plain,(
% 0.15/0.40 ~nil=sk1|~neq(sk1,nil)|~segmentP(sk2,sk1)),
% 0.15/0.40 inference(cnf_transformation,[status(esa)],[f209])).
% 0.15/0.40 fof(f475,plain,(
% 0.15/0.40 spl0_2 <=> ssItem(sk5)),
% 0.15/0.40 introduced(split_symbol_definition)).
% 0.15/0.40 fof(f478,plain,(
% 0.15/0.40 spl0_3 <=> nil=sk4),
% 0.15/0.40 introduced(split_symbol_definition)).
% 0.15/0.40 fof(f479,plain,(
% 0.15/0.40 nil=sk4|~spl0_3),
% 0.15/0.40 inference(component_clause,[status(thm)],[f478])).
% 0.15/0.40 fof(f481,plain,(
% 0.15/0.40 spl0_2|spl0_3),
% 0.15/0.40 inference(split_clause,[status(thm)],[f446,f475,f478])).
% 0.15/0.40 fof(f482,plain,(
% 0.15/0.40 spl0_4 <=> nil=sk3),
% 0.15/0.40 introduced(split_symbol_definition)).
% 0.15/0.40 fof(f483,plain,(
% 0.15/0.40 nil=sk3|~spl0_4),
% 0.15/0.40 inference(component_clause,[status(thm)],[f482])).
% 0.15/0.40 fof(f485,plain,(
% 0.15/0.40 spl0_2|spl0_4),
% 0.15/0.40 inference(split_clause,[status(thm)],[f447,f475,f482])).
% 0.15/0.40 fof(f486,plain,(
% 0.15/0.40 spl0_5 <=> ssList(sk6)),
% 0.15/0.40 introduced(split_symbol_definition)).
% 0.15/0.40 fof(f489,plain,(
% 0.15/0.40 spl0_5|spl0_3),
% 0.15/0.40 inference(split_clause,[status(thm)],[f448,f486,f478])).
% 0.15/0.40 fof(f490,plain,(
% 0.15/0.40 spl0_6 <=> ssList(sk7)),
% 0.15/0.40 introduced(split_symbol_definition)).
% 0.15/0.40 fof(f494,plain,(
% 0.15/0.40 spl0_7 <=> cons(sk5,nil)=sk3),
% 0.15/0.40 introduced(split_symbol_definition)).
% 0.15/0.40 fof(f495,plain,(
% 0.15/0.40 cons(sk5,nil)=sk3|~spl0_7),
% 0.15/0.40 inference(component_clause,[status(thm)],[f494])).
% 0.15/0.40 fof(f497,plain,(
% 0.15/0.40 spl0_7|spl0_3),
% 0.15/0.40 inference(split_clause,[status(thm)],[f450,f494,f478])).
% 0.15/0.40 fof(f498,plain,(
% 0.15/0.40 spl0_8 <=> app(app(sk6,sk3),sk7)=sk4),
% 0.15/0.40 introduced(split_symbol_definition)).
% 0.15/0.40 fof(f499,plain,(
% 0.15/0.40 app(app(sk6,sk3),sk7)=sk4|~spl0_8),
% 0.15/0.40 inference(component_clause,[status(thm)],[f498])).
% 0.15/0.40 fof(f510,plain,(
% 0.15/0.40 spl0_5|spl0_4),
% 0.15/0.40 inference(split_clause,[status(thm)],[f456,f486,f482])).
% 0.15/0.40 fof(f511,plain,(
% 0.15/0.40 spl0_6|spl0_4),
% 0.15/0.40 inference(split_clause,[status(thm)],[f457,f490,f482])).
% 0.15/0.40 fof(f512,plain,(
% 0.15/0.40 spl0_7|spl0_4),
% 0.15/0.40 inference(split_clause,[status(thm)],[f458,f494,f482])).
% 0.15/0.40 fof(f513,plain,(
% 0.15/0.40 spl0_8|spl0_4),
% 0.15/0.40 inference(split_clause,[status(thm)],[f459,f498,f482])).
% 0.15/0.40 fof(f516,plain,(
% 0.15/0.40 spl0_11 <=> nil=sk2),
% 0.15/0.40 introduced(split_symbol_definition)).
% 0.15/0.40 fof(f519,plain,(
% 0.15/0.40 spl0_12 <=> neq(sk2,nil)),
% 0.15/0.40 introduced(split_symbol_definition)).
% 0.15/0.40 fof(f520,plain,(
% 0.15/0.40 neq(sk2,nil)|~spl0_12),
% 0.15/0.40 inference(component_clause,[status(thm)],[f519])).
% 0.15/0.40 fof(f523,plain,(
% 0.15/0.40 spl0_13 <=> neq(sk1,nil)),
% 0.15/0.40 introduced(split_symbol_definition)).
% 0.15/0.40 fof(f525,plain,(
% 0.15/0.40 ~neq(sk1,nil)|spl0_13),
% 0.15/0.40 inference(component_clause,[status(thm)],[f523])).
% 0.15/0.40 fof(f526,plain,(
% 0.15/0.40 spl0_14 <=> segmentP(sk2,sk1)),
% 0.15/0.40 introduced(split_symbol_definition)).
% 0.15/0.40 fof(f528,plain,(
% 0.15/0.40 ~segmentP(sk2,sk1)|spl0_14),
% 0.15/0.40 inference(component_clause,[status(thm)],[f526])).
% 0.15/0.40 fof(f529,plain,(
% 0.15/0.40 spl0_11|~spl0_13|~spl0_14),
% 0.15/0.40 inference(split_clause,[status(thm)],[f465,f516,f523,f526])).
% 0.15/0.40 fof(f530,plain,(
% 0.15/0.40 spl0_15 <=> nil=sk1),
% 0.15/0.40 introduced(split_symbol_definition)).
% 0.15/0.40 fof(f531,plain,(
% 0.15/0.40 nil=sk1|~spl0_15),
% 0.15/0.40 inference(component_clause,[status(thm)],[f530])).
% 0.15/0.40 fof(f532,plain,(
% 0.15/0.40 ~nil=sk1|spl0_15),
% 0.15/0.40 inference(component_clause,[status(thm)],[f530])).
% 0.15/0.40 fof(f533,plain,(
% 0.15/0.40 ~spl0_15|spl0_12),
% 0.15/0.40 inference(split_clause,[status(thm)],[f466,f530,f519])).
% 0.15/0.40 fof(f534,plain,(
% 0.15/0.40 ~spl0_15|~spl0_13|~spl0_14),
% 0.15/0.40 inference(split_clause,[status(thm)],[f467,f530,f523,f526])).
% 0.15/0.40 fof(f566,plain,(
% 0.15/0.40 nil=sk1|~spl0_4),
% 0.15/0.40 inference(forward_demodulation,[status(thm)],[f445,f483])).
% 0.15/0.40 fof(f569,plain,(
% 0.15/0.40 nil=sk2|~spl0_3),
% 0.15/0.40 inference(forward_demodulation,[status(thm)],[f444,f479])).
% 0.15/0.40 fof(f570,plain,(
% 0.15/0.40 nil=sk4|~spl0_3),
% 0.15/0.40 inference(backward_demodulation,[status(thm)],[f569,f444])).
% 0.15/0.40 fof(f572,plain,(
% 0.15/0.40 ~nil=nil|~spl0_4|spl0_15),
% 0.15/0.40 inference(forward_demodulation,[status(thm)],[f566,f532])).
% 0.15/0.40 fof(f573,plain,(
% 0.15/0.40 $false|~spl0_4|spl0_15),
% 0.15/0.40 inference(trivial_equality_resolution,[status(esa)],[f572])).
% 0.15/0.40 fof(f574,plain,(
% 0.15/0.40 ~spl0_4|spl0_15),
% 0.15/0.40 inference(contradiction_clause,[status(thm)],[f573])).
% 0.15/0.40 fof(f575,plain,(
% 0.15/0.40 ~neq(nil,nil)|~spl0_4|spl0_13),
% 0.15/0.40 inference(forward_demodulation,[status(thm)],[f566,f525])).
% 0.15/0.40 fof(f576,plain,(
% 0.15/0.40 neq(nil,nil)|~spl0_3|~spl0_12),
% 0.15/0.40 inference(forward_demodulation,[status(thm)],[f569,f520])).
% 0.15/0.40 fof(f577,plain,(
% 0.15/0.40 $false|~spl0_4|spl0_13|~spl0_3|~spl0_12),
% 0.15/0.40 inference(forward_subsumption_resolution,[status(thm)],[f576,f575])).
% 0.15/0.40 fof(f578,plain,(
% 0.15/0.40 ~spl0_4|spl0_13|~spl0_3|~spl0_12),
% 0.15/0.40 inference(contradiction_clause,[status(thm)],[f577])).
% 0.15/0.40 fof(f581,plain,(
% 0.15/0.40 cons(sk5,nil)=sk1|~spl0_7),
% 0.15/0.40 inference(forward_demodulation,[status(thm)],[f445,f495])).
% 0.15/0.40 fof(f582,plain,(
% 0.15/0.40 app(app(sk6,sk1),sk7)=sk4|~spl0_8),
% 0.15/0.40 inference(forward_demodulation,[status(thm)],[f445,f499])).
% 0.15/0.40 fof(f584,plain,(
% 0.15/0.40 spl0_16 <=> ssList(nil)),
% 0.15/0.40 introduced(split_symbol_definition)).
% 0.15/0.40 fof(f586,plain,(
% 0.15/0.40 ~ssList(nil)|spl0_16),
% 0.15/0.40 inference(component_clause,[status(thm)],[f584])).
% 0.15/0.40 fof(f587,plain,(
% 0.15/0.40 spl0_17 <=> nil=nil),
% 0.15/0.40 introduced(split_symbol_definition)).
% 0.15/0.40 fof(f590,plain,(
% 0.15/0.40 ~ssList(nil)|nil=nil|~ssList(nil)),
% 0.15/0.40 inference(resolution,[status(thm)],[f290,f265])).
% 0.15/0.40 fof(f591,plain,(
% 0.15/0.40 ~spl0_16|spl0_17),
% 0.15/0.40 inference(split_clause,[status(thm)],[f590,f584,f587])).
% 0.15/0.40 fof(f611,plain,(
% 0.15/0.40 app(app(sk6,sk1),sk7)=sk2|~spl0_8),
% 0.15/0.40 inference(forward_demodulation,[status(thm)],[f444,f582])).
% 0.15/0.40 fof(f614,plain,(
% 0.15/0.40 spl0_20 <=> ssList(app(sk6,sk1))),
% 0.15/0.40 introduced(split_symbol_definition)).
% 0.15/0.40 fof(f616,plain,(
% 0.15/0.40 ~ssList(app(sk6,sk1))|spl0_20),
% 0.15/0.40 inference(component_clause,[status(thm)],[f614])).
% 0.15/0.40 fof(f622,plain,(
% 0.15/0.40 spl0_21 <=> ssList(sk1)),
% 0.15/0.40 introduced(split_symbol_definition)).
% 0.15/0.40 fof(f624,plain,(
% 0.15/0.40 ~ssList(sk1)|spl0_21),
% 0.15/0.40 inference(component_clause,[status(thm)],[f622])).
% 0.15/0.40 fof(f625,plain,(
% 0.15/0.40 ~ssList(sk1)|~ssList(sk6)|spl0_20),
% 0.15/0.40 inference(resolution,[status(thm)],[f616,f295])).
% 0.15/0.40 fof(f626,plain,(
% 0.15/0.40 ~spl0_21|~spl0_5|spl0_20),
% 0.15/0.40 inference(split_clause,[status(thm)],[f625,f622,f486,f614])).
% 0.15/0.40 fof(f627,plain,(
% 0.15/0.40 $false|spl0_21),
% 0.15/0.40 inference(forward_subsumption_resolution,[status(thm)],[f624,f440])).
% 0.15/0.40 fof(f628,plain,(
% 0.15/0.40 spl0_21),
% 0.15/0.40 inference(contradiction_clause,[status(thm)],[f627])).
% 0.15/0.40 fof(f636,plain,(
% 0.15/0.40 sk2=nil|~spl0_3),
% 0.15/0.40 inference(forward_demodulation,[status(thm)],[f570,f444])).
% 0.15/0.40 fof(f639,plain,(
% 0.15/0.40 ~segmentP(nil,sk1)|~spl0_3|spl0_14),
% 0.15/0.40 inference(forward_demodulation,[status(thm)],[f636,f528])).
% 0.15/0.40 fof(f640,plain,(
% 0.15/0.40 ~segmentP(nil,nil)|~spl0_15|~spl0_3|spl0_14),
% 0.15/0.40 inference(forward_demodulation,[status(thm)],[f531,f639])).
% 0.15/0.40 fof(f641,plain,(
% 0.15/0.40 ~ssList(nil)|~spl0_15|~spl0_3|spl0_14),
% 0.15/0.40 inference(resolution,[status(thm)],[f640,f265])).
% 0.15/0.40 fof(f642,plain,(
% 0.15/0.40 ~spl0_16|~spl0_15|~spl0_3|spl0_14),
% 0.15/0.40 inference(split_clause,[status(thm)],[f641,f584,f530,f478,f526])).
% 0.15/0.40 fof(f649,plain,(
% 0.15/0.40 spl0_22 <=> ~segmentP(nil,X0)|~ssList(X0)|X0=nil|~ssList(X0)),
% 0.15/0.40 introduced(split_symbol_definition)).
% 0.15/0.40 fof(f652,plain,(
% 0.15/0.40 ![X0]: (~segmentP(nil,X0)|~ssList(nil)|~ssList(X0)|X0=nil|~ssList(X0))),
% 0.15/0.40 inference(resolution,[status(thm)],[f349,f265])).
% 0.15/0.40 fof(f653,plain,(
% 0.15/0.40 spl0_22|~spl0_16),
% 0.15/0.40 inference(split_clause,[status(thm)],[f652,f649,f584])).
% 0.15/0.40 fof(f655,plain,(
% 0.15/0.40 spl0_23 <=> ~ssList(app(nil,X0))|~ssList(X0)|app(nil,X0)=X0|~ssList(app(nil,X0))),
% 0.15/0.40 introduced(split_symbol_definition)).
% 0.15/0.40 fof(f658,plain,(
% 0.15/0.40 ![X0]: (~ssList(app(nil,X0))|~ssList(nil)|~ssList(X0)|app(nil,X0)=X0|~ssList(app(nil,X0)))),
% 0.15/0.40 inference(resolution,[status(thm)],[f380,f284])).
% 0.15/0.40 fof(f659,plain,(
% 0.15/0.40 spl0_23|~spl0_16),
% 0.15/0.40 inference(split_clause,[status(thm)],[f658,f655,f584])).
% 0.15/0.40 fof(f671,plain,(
% 0.15/0.40 spl0_26 <=> ~ssList(app(X0,nil))|~ssList(X0)|app(X0,nil)=X0|~ssList(app(X0,nil))),
% 0.15/0.40 introduced(split_symbol_definition)).
% 0.15/0.40 fof(f674,plain,(
% 0.15/0.40 ![X0]: (~ssList(app(X0,nil))|~ssList(nil)|~ssList(X0)|app(X0,nil)=X0|~ssList(app(X0,nil)))),
% 0.15/0.40 inference(resolution,[status(thm)],[f382,f283])).
% 0.15/0.40 fof(f675,plain,(
% 0.15/0.40 spl0_26|~spl0_16),
% 0.15/0.40 inference(split_clause,[status(thm)],[f674,f671,f584])).
% 0.15/0.40 fof(f681,plain,(
% 0.15/0.40 spl0_27 <=> ~segmentP(X0,X1)|~ssList(X1)|~ssList(X0)|segmentP(X0,nil)|~ssList(X1)),
% 0.15/0.40 introduced(split_symbol_definition)).
% 0.15/0.40 fof(f684,plain,(
% 0.15/0.40 ![X0,X1]: (~segmentP(X0,X1)|~ssList(nil)|~ssList(X1)|~ssList(X0)|segmentP(X0,nil)|~ssList(X1))),
% 0.15/0.40 inference(resolution,[status(thm)],[f384,f265])).
% 0.15/0.40 fof(f685,plain,(
% 0.15/0.40 spl0_27|~spl0_16),
% 0.15/0.40 inference(split_clause,[status(thm)],[f684,f681,f584])).
% 0.15/0.40 fof(f748,plain,(
% 0.15/0.40 ~sk1=nil|~ssItem(sk5)|~ssList(nil)|~spl0_7),
% 0.15/0.40 inference(paramodulation,[status(thm)],[f581,f311])).
% 0.15/0.40 fof(f749,plain,(
% 0.15/0.40 ~spl0_15|~spl0_2|~spl0_16|~spl0_7),
% 0.15/0.40 inference(split_clause,[status(thm)],[f748,f530,f475,f584,f494])).
% 0.15/0.40 fof(f761,plain,(
% 0.15/0.40 $false|spl0_16),
% 0.15/0.40 inference(forward_subsumption_resolution,[status(thm)],[f586,f217])).
% 0.15/0.40 fof(f762,plain,(
% 0.15/0.40 spl0_16),
% 0.15/0.40 inference(contradiction_clause,[status(thm)],[f761])).
% 0.15/0.40 fof(f791,plain,(
% 0.15/0.40 spl0_37 <=> nil=app(sk6,sk1)),
% 0.15/0.40 introduced(split_symbol_definition)).
% 0.15/0.40 fof(f792,plain,(
% 0.15/0.40 nil=app(sk6,sk1)|~spl0_37),
% 0.15/0.40 inference(component_clause,[status(thm)],[f791])).
% 0.15/0.40 fof(f794,plain,(
% 0.15/0.40 ~sk2=nil|~ssList(sk7)|~ssList(app(sk6,sk1))|nil=app(sk6,sk1)|~spl0_8),
% 0.15/0.40 inference(paramodulation,[status(thm)],[f611,f337])).
% 0.15/0.40 fof(f795,plain,(
% 0.15/0.40 ~spl0_11|~spl0_6|~spl0_20|spl0_37|~spl0_8),
% 0.15/0.40 inference(split_clause,[status(thm)],[f794,f516,f490,f614,f791,f498])).
% 0.15/0.40 fof(f836,plain,(
% 0.15/0.40 ~ssList(sk1)|~ssList(sk6)|nil=sk1|~spl0_37),
% 0.15/0.40 inference(resolution,[status(thm)],[f792,f339])).
% 0.15/0.40 fof(f837,plain,(
% 0.15/0.40 ~spl0_21|~spl0_5|spl0_15|~spl0_37),
% 0.15/0.40 inference(split_clause,[status(thm)],[f836,f622,f486,f530,f791])).
% 0.15/0.40 fof(f893,plain,(
% 0.15/0.40 ~ssList(nil)|~ssList(sk1)|sk1=nil|spl0_13),
% 0.15/0.40 inference(resolution,[status(thm)],[f525,f312])).
% 0.15/0.40 fof(f894,plain,(
% 0.15/0.40 ~spl0_16|~spl0_21|spl0_15|spl0_13),
% 0.15/0.40 inference(split_clause,[status(thm)],[f893,f584,f622,f530,f523])).
% 0.15/0.40 fof(f1117,plain,(
% 0.15/0.40 spl0_83 <=> ~segmentP(sk1,X0)|~ssList(X0)|segmentP(sk2,X0)),
% 0.15/0.40 introduced(split_symbol_definition)).
% 0.15/0.40 fof(f1118,plain,(
% 0.15/0.40 ![X0]: (~segmentP(sk1,X0)|~ssList(X0)|segmentP(sk2,X0)|~spl0_83)),
% 0.15/0.40 inference(component_clause,[status(thm)],[f1117])).
% 0.15/0.40 fof(f1120,plain,(
% 0.15/0.40 ![X0]: (~segmentP(sk1,X0)|~ssList(sk7)|~ssList(sk6)|~ssList(X0)|~ssList(sk1)|segmentP(sk2,X0)|~spl0_8)),
% 0.15/0.40 inference(paramodulation,[status(thm)],[f611,f414])).
% 0.15/0.40 fof(f1121,plain,(
% 0.15/0.40 spl0_83|~spl0_6|~spl0_5|~spl0_21|~spl0_8),
% 0.15/0.40 inference(split_clause,[status(thm)],[f1120,f1117,f490,f486,f622,f498])).
% 0.15/0.40 fof(f1137,plain,(
% 0.15/0.40 ~ssList(sk1)|segmentP(sk2,sk1)|~ssList(sk1)|~spl0_83),
% 0.15/0.40 inference(resolution,[status(thm)],[f1118,f266])).
% 0.15/0.40 fof(f1138,plain,(
% 0.15/0.40 ~spl0_21|spl0_14|~spl0_83),
% 0.15/0.40 inference(split_clause,[status(thm)],[f1137,f622,f526,f1117])).
% 0.15/0.40 fof(f1139,plain,(
% 0.15/0.40 $false),
% 0.15/0.40 inference(sat_refutation,[status(thm)],[f481,f485,f489,f497,f510,f511,f512,f513,f529,f533,f534,f574,f578,f591,f626,f628,f642,f653,f659,f675,f685,f749,f762,f795,f837,f894,f1121,f1138])).
% 0.15/0.40 % SZS output end CNFRefutation for theBenchmark.p
% 0.15/0.41 % Elapsed time: 0.103822 seconds
% 0.15/0.41 % CPU time: 0.695362 seconds
% 0.15/0.41 % Total memory used: 74.446 MB
% 0.15/0.41 % Net memory used: 73.816 MB
%------------------------------------------------------------------------------