TSTP Solution File: SWC389-1 by Drodi---3.5.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : SWC389-1 : TPTP v8.1.2. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n006.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 12:40:18 EDT 2023
% Result : Unsatisfiable 0.14s 0.34s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.10 % Problem : SWC389-1 : TPTP v8.1.2. Released v2.4.0.
% 0.08/0.11 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.09/0.31 % Computer : n006.cluster.edu
% 0.09/0.31 % Model : x86_64 x86_64
% 0.09/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.31 % Memory : 8042.1875MB
% 0.09/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.31 % CPULimit : 300
% 0.09/0.31 % WCLimit : 300
% 0.09/0.31 % DateTime : Tue May 30 11:18:17 EDT 2023
% 0.09/0.31 % CPUTime :
% 0.14/0.32 % Drodi V3.5.1
% 0.14/0.34 % Refutation found
% 0.14/0.34 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.14/0.34 % SZS output start CNFRefutation for theBenchmark
% 0.14/0.34 fof(f8,axiom,(
% 0.14/0.34 ssList(nil) ),
% 0.14/0.34 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.34 fof(f45,axiom,(
% 0.14/0.34 (![U]: (ssItem(skaf50(U)) ))),
% 0.14/0.34 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.34 fof(f53,axiom,(
% 0.14/0.34 (![U,V]: (ssList(skaf42(U,V)) ))),
% 0.14/0.34 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.34 fof(f56,axiom,(
% 0.14/0.34 (![U]: (( ~ ssList(U)| segmentP(U,nil) ) ))),
% 0.14/0.34 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.34 fof(f73,axiom,(
% 0.14/0.34 (![U]: (( ~ ssList(U)| app(U,nil) = U ) ))),
% 0.14/0.34 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.34 fof(f74,axiom,(
% 0.14/0.34 (![U]: (( ~ ssList(U)| app(nil,U) = U ) ))),
% 0.14/0.34 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.34 fof(f80,axiom,(
% 0.14/0.34 (![U]: (( ~ segmentP(nil,U)| ~ ssList(U)| nil = U ) ))),
% 0.14/0.34 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.34 fof(f86,axiom,(
% 0.14/0.34 (![U,V]: (( ~ ssItem(U)| ~ ssList(V)| ssList(cons(U,V)) ) ))),
% 0.14/0.34 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.34 fof(f99,axiom,(
% 0.14/0.34 (![U,V]: (( cons(U,V) != V| ~ ssItem(U)| ~ ssList(V) ) ))),
% 0.14/0.34 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.34 fof(f115,axiom,(
% 0.14/0.34 (![U,V]: (( U != V| ~ neq(U,V)| ~ ssList(V)| ~ ssList(U) ) ))),
% 0.14/0.34 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.34 fof(f116,axiom,(
% 0.14/0.34 (![U,V]: (( cons(U,nil) != V| ~ ssItem(U)| ~ ssList(V)| singletonP(V) ) ))),
% 0.14/0.34 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.34 fof(f127,axiom,(
% 0.14/0.34 (![U,V]: (( ~ segmentP(U,V)| ~ segmentP(V,U)| ~ ssList(U)| ~ ssList(V)| V = U ) ))),
% 0.14/0.34 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.34 fof(f150,axiom,(
% 0.14/0.34 (![U,V,W]: (( app(U,V) != app(U,W)| ~ ssList(V)| ~ ssList(U)| ~ ssList(W)| V = W ) ))),
% 0.14/0.34 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.34 fof(f151,axiom,(
% 0.14/0.34 (![U,V,W]: (( app(U,V) != app(W,V)| ~ ssList(U)| ~ ssList(V)| ~ ssList(W)| U = W ) ))),
% 0.14/0.34 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.34 fof(f152,axiom,(
% 0.14/0.34 (![U,V,W]: (( ~ segmentP(U,V)| ~ segmentP(V,W)| ~ ssList(W)| ~ ssList(V)| ~ ssList(U)| segmentP(U,W) ) ))),
% 0.14/0.34 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.34 fof(f170,axiom,(
% 0.14/0.34 (![U,V,W,X]: (( cons(U,V) != cons(W,X)| ~ ssItem(W)| ~ ssItem(U)| ~ ssList(X)| ~ ssList(V)| U = W ) ))),
% 0.14/0.34 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.34 fof(f173,axiom,(
% 0.14/0.34 (![U,V,W,X]: (( app(app(U,V),W) != X| ~ ssList(W)| ~ ssList(U)| ~ ssList(V)| ~ ssList(X)| segmentP(X,V) ) ))),
% 0.14/0.34 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.34 fof(f187,negated_conjecture,(
% 0.14/0.34 ssList(sk2) ),
% 0.14/0.34 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.34 fof(f190,negated_conjecture,(
% 0.14/0.34 sk2 = sk4 ),
% 0.14/0.34 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.34 fof(f191,negated_conjecture,(
% 0.14/0.34 sk1 = sk3 ),
% 0.14/0.34 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.34 fof(f192,negated_conjecture,(
% 0.14/0.34 ( ssItem(sk5)| nil = sk4 ) ),
% 0.14/0.34 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.34 fof(f193,negated_conjecture,(
% 0.14/0.34 ( ssItem(sk5)| nil = sk3 ) ),
% 0.14/0.34 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.34 fof(f194,negated_conjecture,(
% 0.14/0.34 ( ssList(sk6)| nil = sk4 ) ),
% 0.14/0.34 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.34 fof(f195,negated_conjecture,(
% 0.14/0.34 ( ssList(sk7)| nil = sk4 ) ),
% 0.14/0.34 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.34 fof(f196,negated_conjecture,(
% 0.14/0.34 ( cons(sk5,nil) = sk3| nil = sk4 ) ),
% 0.14/0.34 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.34 fof(f200,negated_conjecture,(
% 0.14/0.34 ( ssList(sk6)| nil = sk3 ) ),
% 0.14/0.34 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.34 fof(f201,negated_conjecture,(
% 0.14/0.34 ( ssList(sk7)| nil = sk3 ) ),
% 0.14/0.34 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.34 fof(f202,negated_conjecture,(
% 0.14/0.34 ( cons(sk5,nil) = sk3| nil = sk3 ) ),
% 0.14/0.34 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.34 fof(f203,negated_conjecture,(
% 0.14/0.34 ( app(app(sk6,sk3),sk7) = sk4| nil = sk3 ) ),
% 0.14/0.34 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.34 fof(f206,negated_conjecture,(
% 0.14/0.34 ( ~ segmentP(sk2,sk1)| neq(sk2,nil) ) ),
% 0.14/0.34 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.34 fof(f207,negated_conjecture,(
% 0.14/0.34 ( ~ segmentP(sk2,sk1)| ~ singletonP(sk1) ) ),
% 0.14/0.34 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.34 fof(f215,plain,(
% 0.14/0.34 ssList(nil)),
% 0.14/0.34 inference(cnf_transformation,[status(esa)],[f8])).
% 0.14/0.34 fof(f252,plain,(
% 0.14/0.34 ![X0]: (ssItem(skaf50(X0)))),
% 0.14/0.34 inference(cnf_transformation,[status(esa)],[f45])).
% 0.14/0.34 fof(f260,plain,(
% 0.14/0.34 ![X0,X1]: (ssList(skaf42(X0,X1)))),
% 0.14/0.34 inference(cnf_transformation,[status(esa)],[f53])).
% 0.14/0.34 fof(f263,plain,(
% 0.14/0.34 ![X0]: (~ssList(X0)|segmentP(X0,nil))),
% 0.14/0.34 inference(cnf_transformation,[status(esa)],[f56])).
% 0.14/0.34 fof(f281,plain,(
% 0.14/0.34 ![X0]: (~ssList(X0)|app(X0,nil)=X0)),
% 0.14/0.34 inference(cnf_transformation,[status(esa)],[f73])).
% 0.14/0.34 fof(f282,plain,(
% 0.14/0.34 ![X0]: (~ssList(X0)|app(nil,X0)=X0)),
% 0.14/0.34 inference(cnf_transformation,[status(esa)],[f74])).
% 0.14/0.34 fof(f288,plain,(
% 0.14/0.34 ![X0]: (~segmentP(nil,X0)|~ssList(X0)|nil=X0)),
% 0.14/0.34 inference(cnf_transformation,[status(esa)],[f80])).
% 0.14/0.34 fof(f294,plain,(
% 0.14/0.34 ![X0,X1]: (~ssItem(X0)|~ssList(X1)|ssList(cons(X0,X1)))),
% 0.14/0.34 inference(cnf_transformation,[status(esa)],[f86])).
% 0.14/0.34 fof(f308,plain,(
% 0.14/0.34 ![V]: ((![U]: (~cons(U,V)=V|~ssItem(U)))|~ssList(V))),
% 0.14/0.34 inference(miniscoping,[status(esa)],[f99])).
% 0.14/0.34 fof(f309,plain,(
% 0.14/0.34 ![X0,X1]: (~cons(X0,X1)=X1|~ssItem(X0)|~ssList(X1))),
% 0.14/0.34 inference(cnf_transformation,[status(esa)],[f308])).
% 0.14/0.34 fof(f328,plain,(
% 0.14/0.34 ![U]: ((![V]: ((~U=V|~neq(U,V))|~ssList(V)))|~ssList(U))),
% 0.14/0.34 inference(miniscoping,[status(esa)],[f115])).
% 0.14/0.34 fof(f329,plain,(
% 0.14/0.34 ![X0,X1]: (~X0=X1|~neq(X0,X1)|~ssList(X1)|~ssList(X0))),
% 0.14/0.34 inference(cnf_transformation,[status(esa)],[f328])).
% 0.14/0.34 fof(f330,plain,(
% 0.14/0.34 ![V]: (((![U]: (~cons(U,nil)=V|~ssItem(U)))|~ssList(V))|singletonP(V))),
% 0.14/0.34 inference(miniscoping,[status(esa)],[f116])).
% 0.14/0.34 fof(f331,plain,(
% 0.14/0.34 ![X0,X1]: (~cons(X0,nil)=X1|~ssItem(X0)|~ssList(X1)|singletonP(X1))),
% 0.14/0.34 inference(cnf_transformation,[status(esa)],[f330])).
% 0.14/0.34 fof(f347,plain,(
% 0.14/0.34 ![X0,X1]: (~segmentP(X0,X1)|~segmentP(X1,X0)|~ssList(X0)|~ssList(X1)|X1=X0)),
% 0.14/0.34 inference(cnf_transformation,[status(esa)],[f127])).
% 0.14/0.34 fof(f377,plain,(
% 0.14/0.34 ![V,W]: (((![U]: ((~app(U,V)=app(U,W)|~ssList(V))|~ssList(U)))|~ssList(W))|V=W)),
% 0.14/0.34 inference(miniscoping,[status(esa)],[f150])).
% 0.14/0.34 fof(f378,plain,(
% 0.14/0.34 ![X0,X1,X2]: (~app(X0,X1)=app(X0,X2)|~ssList(X1)|~ssList(X0)|~ssList(X2)|X1=X2)),
% 0.14/0.34 inference(cnf_transformation,[status(esa)],[f377])).
% 0.14/0.34 fof(f379,plain,(
% 0.14/0.34 ![U,W]: (((![V]: ((~app(U,V)=app(W,V)|~ssList(U))|~ssList(V)))|~ssList(W))|U=W)),
% 0.14/0.34 inference(miniscoping,[status(esa)],[f151])).
% 0.14/0.34 fof(f380,plain,(
% 0.14/0.34 ![X0,X1,X2]: (~app(X0,X1)=app(X2,X1)|~ssList(X0)|~ssList(X1)|~ssList(X2)|X0=X2)),
% 0.14/0.34 inference(cnf_transformation,[status(esa)],[f379])).
% 0.14/0.34 fof(f381,plain,(
% 0.14/0.34 ![U,W]: (((![V]: (((~segmentP(U,V)|~segmentP(V,W))|~ssList(W))|~ssList(V)))|~ssList(U))|segmentP(U,W))),
% 0.14/0.34 inference(miniscoping,[status(esa)],[f152])).
% 0.14/0.34 fof(f382,plain,(
% 0.14/0.34 ![X0,X1,X2]: (~segmentP(X0,X1)|~segmentP(X1,X2)|~ssList(X2)|~ssList(X1)|~ssList(X0)|segmentP(X0,X2))),
% 0.14/0.34 inference(cnf_transformation,[status(esa)],[f381])).
% 0.14/0.34 fof(f408,plain,(
% 0.14/0.34 ![U,W]: ((![V]: ((![X]: (((~cons(U,V)=cons(W,X)|~ssItem(W))|~ssItem(U))|~ssList(X)))|~ssList(V)))|U=W)),
% 0.14/0.34 inference(miniscoping,[status(esa)],[f170])).
% 0.14/0.34 fof(f409,plain,(
% 0.14/0.34 ![X0,X1,X2,X3]: (~cons(X0,X1)=cons(X2,X3)|~ssItem(X2)|~ssItem(X0)|~ssList(X3)|~ssList(X1)|X0=X2)),
% 0.14/0.34 inference(cnf_transformation,[status(esa)],[f408])).
% 0.14/0.34 fof(f413,plain,(
% 0.14/0.34 ![V,X]: ((((![U]: ((![W]: (~app(app(U,V),W)=X|~ssList(W)))|~ssList(U)))|~ssList(V))|~ssList(X))|segmentP(X,V))),
% 0.14/0.34 inference(miniscoping,[status(esa)],[f173])).
% 0.14/0.34 fof(f414,plain,(
% 0.14/0.34 ![X0,X1,X2,X3]: (~app(app(X0,X1),X2)=X3|~ssList(X2)|~ssList(X0)|~ssList(X1)|~ssList(X3)|segmentP(X3,X1))),
% 0.14/0.34 inference(cnf_transformation,[status(esa)],[f413])).
% 0.14/0.34 fof(f439,plain,(
% 0.14/0.34 ssList(sk2)),
% 0.14/0.34 inference(cnf_transformation,[status(esa)],[f187])).
% 0.14/0.34 fof(f442,plain,(
% 0.14/0.34 sk2=sk4),
% 0.14/0.34 inference(cnf_transformation,[status(esa)],[f190])).
% 0.14/0.34 fof(f443,plain,(
% 0.14/0.34 sk1=sk3),
% 0.14/0.34 inference(cnf_transformation,[status(esa)],[f191])).
% 0.14/0.34 fof(f444,plain,(
% 0.14/0.34 ssItem(sk5)|nil=sk4),
% 0.14/0.34 inference(cnf_transformation,[status(esa)],[f192])).
% 0.14/0.34 fof(f445,plain,(
% 0.14/0.34 ssItem(sk5)|nil=sk3),
% 0.14/0.34 inference(cnf_transformation,[status(esa)],[f193])).
% 0.14/0.34 fof(f446,plain,(
% 0.14/0.34 ssList(sk6)|nil=sk4),
% 0.14/0.34 inference(cnf_transformation,[status(esa)],[f194])).
% 0.14/0.34 fof(f447,plain,(
% 0.14/0.34 ssList(sk7)|nil=sk4),
% 0.14/0.34 inference(cnf_transformation,[status(esa)],[f195])).
% 0.14/0.34 fof(f448,plain,(
% 0.14/0.34 cons(sk5,nil)=sk3|nil=sk4),
% 0.14/0.34 inference(cnf_transformation,[status(esa)],[f196])).
% 0.14/0.34 fof(f454,plain,(
% 0.14/0.34 ssList(sk6)|nil=sk3),
% 0.14/0.34 inference(cnf_transformation,[status(esa)],[f200])).
% 0.14/0.34 fof(f455,plain,(
% 0.14/0.34 ssList(sk7)|nil=sk3),
% 0.14/0.34 inference(cnf_transformation,[status(esa)],[f201])).
% 0.14/0.34 fof(f456,plain,(
% 0.14/0.34 cons(sk5,nil)=sk3|nil=sk3),
% 0.14/0.34 inference(cnf_transformation,[status(esa)],[f202])).
% 0.14/0.34 fof(f457,plain,(
% 0.14/0.34 app(app(sk6,sk3),sk7)=sk4|nil=sk3),
% 0.14/0.34 inference(cnf_transformation,[status(esa)],[f203])).
% 0.14/0.34 fof(f462,plain,(
% 0.14/0.34 ~segmentP(sk2,sk1)|neq(sk2,nil)),
% 0.14/0.34 inference(cnf_transformation,[status(esa)],[f206])).
% 0.14/0.34 fof(f463,plain,(
% 0.14/0.34 ~segmentP(sk2,sk1)|~singletonP(sk1)),
% 0.14/0.34 inference(cnf_transformation,[status(esa)],[f207])).
% 0.14/0.34 fof(f471,plain,(
% 0.14/0.34 spl0_2 <=> ssItem(sk5)),
% 0.14/0.34 introduced(split_symbol_definition)).
% 0.14/0.34 fof(f474,plain,(
% 0.14/0.34 spl0_3 <=> nil=sk4),
% 0.14/0.34 introduced(split_symbol_definition)).
% 0.14/0.34 fof(f475,plain,(
% 0.14/0.34 nil=sk4|~spl0_3),
% 0.14/0.34 inference(component_clause,[status(thm)],[f474])).
% 0.14/0.34 fof(f477,plain,(
% 0.14/0.34 spl0_2|spl0_3),
% 0.14/0.34 inference(split_clause,[status(thm)],[f444,f471,f474])).
% 0.14/0.34 fof(f478,plain,(
% 0.14/0.34 spl0_4 <=> nil=sk3),
% 0.14/0.34 introduced(split_symbol_definition)).
% 0.14/0.34 fof(f479,plain,(
% 0.14/0.34 nil=sk3|~spl0_4),
% 0.14/0.34 inference(component_clause,[status(thm)],[f478])).
% 0.14/0.34 fof(f481,plain,(
% 0.14/0.34 spl0_2|spl0_4),
% 0.14/0.34 inference(split_clause,[status(thm)],[f445,f471,f478])).
% 0.14/0.34 fof(f482,plain,(
% 0.14/0.34 spl0_5 <=> ssList(sk6)),
% 0.14/0.34 introduced(split_symbol_definition)).
% 0.14/0.34 fof(f485,plain,(
% 0.14/0.34 spl0_5|spl0_3),
% 0.14/0.34 inference(split_clause,[status(thm)],[f446,f482,f474])).
% 0.14/0.34 fof(f486,plain,(
% 0.14/0.34 spl0_6 <=> ssList(sk7)),
% 0.14/0.34 introduced(split_symbol_definition)).
% 0.14/0.34 fof(f489,plain,(
% 0.14/0.34 spl0_6|spl0_3),
% 0.14/0.34 inference(split_clause,[status(thm)],[f447,f486,f474])).
% 0.14/0.34 fof(f490,plain,(
% 0.14/0.34 spl0_7 <=> cons(sk5,nil)=sk3),
% 0.14/0.34 introduced(split_symbol_definition)).
% 0.14/0.34 fof(f491,plain,(
% 0.14/0.34 cons(sk5,nil)=sk3|~spl0_7),
% 0.14/0.34 inference(component_clause,[status(thm)],[f490])).
% 0.14/0.34 fof(f493,plain,(
% 0.14/0.34 spl0_7|spl0_3),
% 0.14/0.34 inference(split_clause,[status(thm)],[f448,f490,f474])).
% 0.14/0.34 fof(f494,plain,(
% 0.14/0.34 spl0_8 <=> app(app(sk6,sk3),sk7)=sk4),
% 0.14/0.34 introduced(split_symbol_definition)).
% 0.14/0.34 fof(f495,plain,(
% 0.14/0.34 app(app(sk6,sk3),sk7)=sk4|~spl0_8),
% 0.14/0.34 inference(component_clause,[status(thm)],[f494])).
% 0.14/0.34 fof(f506,plain,(
% 0.14/0.34 spl0_5|spl0_4),
% 0.14/0.34 inference(split_clause,[status(thm)],[f454,f482,f478])).
% 0.14/0.34 fof(f507,plain,(
% 0.14/0.34 spl0_6|spl0_4),
% 0.14/0.34 inference(split_clause,[status(thm)],[f455,f486,f478])).
% 0.14/0.34 fof(f508,plain,(
% 0.14/0.34 spl0_7|spl0_4),
% 0.14/0.34 inference(split_clause,[status(thm)],[f456,f490,f478])).
% 0.14/0.34 fof(f509,plain,(
% 0.14/0.34 spl0_8|spl0_4),
% 0.14/0.34 inference(split_clause,[status(thm)],[f457,f494,f478])).
% 0.14/0.34 fof(f512,plain,(
% 0.14/0.34 spl0_11 <=> segmentP(sk2,sk1)),
% 0.14/0.34 introduced(split_symbol_definition)).
% 0.14/0.34 fof(f514,plain,(
% 0.14/0.34 ~segmentP(sk2,sk1)|spl0_11),
% 0.14/0.34 inference(component_clause,[status(thm)],[f512])).
% 0.14/0.34 fof(f515,plain,(
% 0.14/0.34 spl0_12 <=> neq(sk2,nil)),
% 0.14/0.34 introduced(split_symbol_definition)).
% 0.14/0.34 fof(f516,plain,(
% 0.14/0.34 neq(sk2,nil)|~spl0_12),
% 0.14/0.34 inference(component_clause,[status(thm)],[f515])).
% 0.14/0.34 fof(f518,plain,(
% 0.14/0.34 ~spl0_11|spl0_12),
% 0.14/0.34 inference(split_clause,[status(thm)],[f462,f512,f515])).
% 0.14/0.34 fof(f519,plain,(
% 0.14/0.34 spl0_13 <=> singletonP(sk1)),
% 0.14/0.34 introduced(split_symbol_definition)).
% 0.14/0.34 fof(f522,plain,(
% 0.14/0.34 ~spl0_11|~spl0_13),
% 0.14/0.34 inference(split_clause,[status(thm)],[f463,f512,f519])).
% 0.14/0.34 fof(f530,plain,(
% 0.14/0.34 ![X1]: (~neq(X1,X1)|~ssList(X1)|~ssList(X1))),
% 0.14/0.34 inference(destructive_equality_resolution,[status(esa)],[f329])).
% 0.14/0.34 fof(f531,plain,(
% 0.14/0.34 ![X0]: (~neq(X0,X0)|~ssList(X0))),
% 0.14/0.34 inference(duplicate_literals_removal,[status(esa)],[f530])).
% 0.14/0.34 fof(f532,plain,(
% 0.14/0.34 ![X0]: (~ssItem(X0)|~ssList(cons(X0,nil))|singletonP(cons(X0,nil)))),
% 0.14/0.34 inference(destructive_equality_resolution,[status(esa)],[f331])).
% 0.14/0.34 fof(f541,plain,(
% 0.14/0.34 ![X0,X1,X2]: (~ssList(X0)|~ssList(X1)|~ssList(X2)|~ssList(app(app(X1,X2),X0))|segmentP(app(app(X1,X2),X0),X2))),
% 0.14/0.34 inference(destructive_equality_resolution,[status(esa)],[f414])).
% 0.14/0.34 fof(f554,plain,(
% 0.14/0.34 nil=sk1|~spl0_4),
% 0.14/0.34 inference(forward_demodulation,[status(thm)],[f443,f479])).
% 0.14/0.34 fof(f558,plain,(
% 0.14/0.34 nil=sk2|~spl0_3),
% 0.14/0.34 inference(forward_demodulation,[status(thm)],[f442,f475])).
% 0.14/0.34 fof(f559,plain,(
% 0.14/0.34 nil=sk4|~spl0_3),
% 0.14/0.34 inference(backward_demodulation,[status(thm)],[f558,f442])).
% 0.14/0.34 fof(f561,plain,(
% 0.14/0.34 ~segmentP(nil,sk1)|~spl0_3|spl0_11),
% 0.14/0.34 inference(forward_demodulation,[status(thm)],[f558,f514])).
% 0.14/0.34 fof(f562,plain,(
% 0.14/0.34 ~segmentP(nil,nil)|~spl0_4|~spl0_3|spl0_11),
% 0.14/0.34 inference(forward_demodulation,[status(thm)],[f554,f561])).
% 0.14/0.34 fof(f563,plain,(
% 0.14/0.34 ~ssList(nil)|~spl0_4|~spl0_3|spl0_11),
% 0.14/0.34 inference(resolution,[status(thm)],[f562,f263])).
% 0.14/0.34 fof(f564,plain,(
% 0.14/0.34 $false|~spl0_4|~spl0_3|spl0_11),
% 0.14/0.34 inference(forward_subsumption_resolution,[status(thm)],[f563,f215])).
% 0.14/0.34 fof(f565,plain,(
% 0.14/0.34 ~spl0_4|~spl0_3|spl0_11),
% 0.14/0.34 inference(contradiction_clause,[status(thm)],[f564])).
% 0.14/0.34 fof(f574,plain,(
% 0.14/0.34 app(app(sk6,sk1),sk7)=sk4|~spl0_8),
% 0.14/0.34 inference(backward_demodulation,[status(thm)],[f443,f495])).
% 0.14/0.34 fof(f575,plain,(
% 0.14/0.34 cons(sk5,nil)=sk1|~spl0_7),
% 0.14/0.34 inference(backward_demodulation,[status(thm)],[f443,f491])).
% 0.14/0.34 fof(f578,plain,(
% 0.14/0.34 app(app(sk6,sk1),sk7)=sk2|~spl0_8),
% 0.14/0.34 inference(backward_demodulation,[status(thm)],[f442,f574])).
% 0.14/0.34 fof(f580,plain,(
% 0.14/0.34 spl0_14 <=> ssList(nil)),
% 0.14/0.34 introduced(split_symbol_definition)).
% 0.14/0.34 fof(f582,plain,(
% 0.14/0.34 ~ssList(nil)|spl0_14),
% 0.14/0.34 inference(component_clause,[status(thm)],[f580])).
% 0.14/0.34 fof(f583,plain,(
% 0.14/0.34 spl0_15 <=> nil=nil),
% 0.14/0.34 introduced(split_symbol_definition)).
% 0.14/0.34 fof(f586,plain,(
% 0.14/0.34 ~ssList(nil)|nil=nil|~ssList(nil)),
% 0.14/0.34 inference(resolution,[status(thm)],[f288,f263])).
% 0.14/0.34 fof(f587,plain,(
% 0.14/0.34 ~spl0_14|spl0_15),
% 0.14/0.34 inference(split_clause,[status(thm)],[f586,f580,f583])).
% 0.14/0.34 fof(f590,plain,(
% 0.14/0.34 $false|spl0_14),
% 0.14/0.34 inference(forward_subsumption_resolution,[status(thm)],[f582,f215])).
% 0.14/0.34 fof(f591,plain,(
% 0.14/0.34 spl0_14),
% 0.14/0.34 inference(contradiction_clause,[status(thm)],[f590])).
% 0.14/0.34 fof(f606,plain,(
% 0.14/0.34 spl0_19 <=> sk1=nil),
% 0.14/0.34 introduced(split_symbol_definition)).
% 0.14/0.34 fof(f608,plain,(
% 0.14/0.34 ~sk1=nil|spl0_19),
% 0.14/0.34 inference(component_clause,[status(thm)],[f606])).
% 0.14/0.34 fof(f609,plain,(
% 0.14/0.34 ~sk1=nil|~ssItem(sk5)|~ssList(nil)|~spl0_7),
% 0.14/0.34 inference(paramodulation,[status(thm)],[f575,f309])).
% 0.14/0.34 fof(f610,plain,(
% 0.14/0.34 ~spl0_19|~spl0_2|~spl0_14|~spl0_7),
% 0.14/0.34 inference(split_clause,[status(thm)],[f609,f606,f471,f580,f490])).
% 0.14/0.34 fof(f611,plain,(
% 0.14/0.34 spl0_20 <=> ssList(sk1)),
% 0.14/0.34 introduced(split_symbol_definition)).
% 0.14/0.34 fof(f614,plain,(
% 0.14/0.34 ~ssItem(sk5)|~ssList(nil)|ssList(sk1)|~spl0_7),
% 0.14/0.34 inference(paramodulation,[status(thm)],[f575,f294])).
% 0.14/0.34 fof(f615,plain,(
% 0.14/0.34 ~spl0_2|~spl0_14|spl0_20|~spl0_7),
% 0.14/0.34 inference(split_clause,[status(thm)],[f614,f471,f580,f611,f490])).
% 0.14/0.34 fof(f644,plain,(
% 0.14/0.34 spl0_25 <=> ~segmentP(nil,X0)|~ssList(X0)|X0=nil|~ssList(X0)),
% 0.14/0.34 introduced(split_symbol_definition)).
% 0.14/0.34 fof(f647,plain,(
% 0.14/0.34 ![X0]: (~segmentP(nil,X0)|~ssList(nil)|~ssList(X0)|X0=nil|~ssList(X0))),
% 0.14/0.34 inference(resolution,[status(thm)],[f347,f263])).
% 0.14/0.34 fof(f648,plain,(
% 0.14/0.34 spl0_25|~spl0_14),
% 0.14/0.34 inference(split_clause,[status(thm)],[f647,f644,f580])).
% 0.14/0.34 fof(f650,plain,(
% 0.14/0.34 spl0_26 <=> ~ssItem(X0)|singletonP(cons(X0,nil))|~ssItem(X0)),
% 0.14/0.34 introduced(split_symbol_definition)).
% 0.14/0.34 fof(f651,plain,(
% 0.14/0.34 ![X0]: (~ssItem(X0)|singletonP(cons(X0,nil))|~ssItem(X0)|~spl0_26)),
% 0.14/0.34 inference(component_clause,[status(thm)],[f650])).
% 0.14/0.34 fof(f653,plain,(
% 0.14/0.34 ![X0]: (~ssItem(X0)|singletonP(cons(X0,nil))|~ssItem(X0)|~ssList(nil))),
% 0.14/0.34 inference(resolution,[status(thm)],[f532,f294])).
% 0.14/0.34 fof(f654,plain,(
% 0.14/0.34 spl0_26|~spl0_14),
% 0.14/0.34 inference(split_clause,[status(thm)],[f653,f650,f580])).
% 0.14/0.34 fof(f660,plain,(
% 0.14/0.34 ![X0]: (~ssItem(X0)|singletonP(cons(X0,nil))|~spl0_26)),
% 0.14/0.34 inference(duplicate_literals_removal,[status(esa)],[f651])).
% 0.14/0.34 fof(f667,plain,(
% 0.14/0.34 spl0_29 <=> ~ssList(app(nil,X0))|~ssList(X0)|app(nil,X0)=X0|~ssList(app(nil,X0))),
% 0.14/0.34 introduced(split_symbol_definition)).
% 0.14/0.34 fof(f670,plain,(
% 0.14/0.34 ![X0]: (~ssList(app(nil,X0))|~ssList(nil)|~ssList(X0)|app(nil,X0)=X0|~ssList(app(nil,X0)))),
% 0.14/0.34 inference(resolution,[status(thm)],[f378,f282])).
% 0.14/0.34 fof(f671,plain,(
% 0.14/0.34 spl0_29|~spl0_14),
% 0.14/0.34 inference(split_clause,[status(thm)],[f670,f667,f580])).
% 0.14/0.34 fof(f690,plain,(
% 0.14/0.34 spl0_33 <=> ~ssList(app(X0,nil))|~ssList(X0)|app(X0,nil)=X0|~ssList(app(X0,nil))),
% 0.14/0.34 introduced(split_symbol_definition)).
% 0.14/0.34 fof(f693,plain,(
% 0.14/0.34 ![X0]: (~ssList(app(X0,nil))|~ssList(nil)|~ssList(X0)|app(X0,nil)=X0|~ssList(app(X0,nil)))),
% 0.14/0.34 inference(resolution,[status(thm)],[f380,f281])).
% 0.14/0.34 fof(f694,plain,(
% 0.14/0.34 spl0_33|~spl0_14),
% 0.14/0.34 inference(split_clause,[status(thm)],[f693,f690,f580])).
% 0.14/0.34 fof(f724,plain,(
% 0.14/0.34 ~ssItem(sk5)|singletonP(sk1)|~spl0_26|~spl0_7),
% 0.14/0.34 inference(paramodulation,[status(thm)],[f575,f660])).
% 0.14/0.34 fof(f725,plain,(
% 0.14/0.34 ~spl0_2|spl0_13|~spl0_26|~spl0_7),
% 0.14/0.34 inference(split_clause,[status(thm)],[f724,f471,f519,f650,f490])).
% 0.14/0.34 fof(f731,plain,(
% 0.14/0.34 spl0_39 <=> sk2=sk2),
% 0.14/0.34 introduced(split_symbol_definition)).
% 0.14/0.34 fof(f733,plain,(
% 0.14/0.34 ~sk2=sk2|spl0_39),
% 0.14/0.34 inference(component_clause,[status(thm)],[f731])).
% 0.14/0.34 fof(f837,plain,(
% 0.14/0.34 spl0_47 <=> ~segmentP(X0,X1)|~ssList(X1)|~ssList(X0)|segmentP(X0,nil)|~ssList(X1)),
% 0.14/0.34 introduced(split_symbol_definition)).
% 0.14/0.34 fof(f840,plain,(
% 0.14/0.34 ![X0,X1]: (~segmentP(X0,X1)|~ssList(nil)|~ssList(X1)|~ssList(X0)|segmentP(X0,nil)|~ssList(X1))),
% 0.14/0.34 inference(resolution,[status(thm)],[f382,f263])).
% 0.14/0.34 fof(f841,plain,(
% 0.14/0.34 spl0_47|~spl0_14),
% 0.14/0.34 inference(split_clause,[status(thm)],[f840,f837,f580])).
% 0.14/0.34 fof(f997,plain,(
% 0.14/0.34 spl0_69 <=> ~ssList(X1)|~ssList(X1)),
% 0.14/0.34 introduced(split_symbol_definition)).
% 0.14/0.34 fof(f998,plain,(
% 0.14/0.34 ![X0]: (~ssList(X0)|~ssList(X0)|~spl0_69)),
% 0.14/0.34 inference(component_clause,[status(thm)],[f997])).
% 0.14/0.34 fof(f1014,plain,(
% 0.14/0.34 spl0_72 <=> ~ssItem(X0)),
% 0.14/0.34 introduced(split_symbol_definition)).
% 0.14/0.34 fof(f1015,plain,(
% 0.14/0.34 ![X0]: (~ssItem(X0)|~spl0_72)),
% 0.14/0.34 inference(component_clause,[status(thm)],[f1014])).
% 0.14/0.34 fof(f1043,plain,(
% 0.14/0.34 spl0_76 <=> ssList(app(app(sk6,sk1),sk7))),
% 0.14/0.34 introduced(split_symbol_definition)).
% 0.14/0.34 fof(f1045,plain,(
% 0.14/0.34 ~ssList(app(app(sk6,sk1),sk7))|spl0_76),
% 0.14/0.34 inference(component_clause,[status(thm)],[f1043])).
% 0.14/0.34 fof(f1046,plain,(
% 0.14/0.34 ~ssList(sk7)|~ssList(sk6)|~ssList(sk1)|~ssList(app(app(sk6,sk1),sk7))|segmentP(sk2,sk1)|~spl0_8),
% 0.14/0.34 inference(paramodulation,[status(thm)],[f578,f541])).
% 0.14/0.34 fof(f1047,plain,(
% 0.14/0.34 ~spl0_6|~spl0_5|~spl0_20|~spl0_76|spl0_11|~spl0_8),
% 0.14/0.34 inference(split_clause,[status(thm)],[f1046,f486,f482,f611,f1043,f512,f494])).
% 0.14/0.34 fof(f1058,plain,(
% 0.14/0.34 ~ssList(sk2)|~spl0_8|spl0_76),
% 0.14/0.34 inference(forward_demodulation,[status(thm)],[f578,f1045])).
% 0.14/0.34 fof(f1059,plain,(
% 0.14/0.34 $false|~spl0_8|spl0_76),
% 0.14/0.34 inference(forward_subsumption_resolution,[status(thm)],[f1058,f439])).
% 0.14/0.34 fof(f1060,plain,(
% 0.14/0.34 ~spl0_8|spl0_76),
% 0.14/0.34 inference(contradiction_clause,[status(thm)],[f1059])).
% 0.14/0.34 fof(f1061,plain,(
% 0.14/0.34 $false|spl0_39),
% 0.14/0.34 inference(trivial_equality_resolution,[status(esa)],[f733])).
% 0.14/0.34 fof(f1062,plain,(
% 0.14/0.34 spl0_39),
% 0.14/0.34 inference(contradiction_clause,[status(thm)],[f1061])).
% 0.14/0.34 fof(f1063,plain,(
% 0.14/0.34 ![X0]: (~ssList(X0)|~spl0_69)),
% 0.14/0.34 inference(duplicate_literals_removal,[status(esa)],[f998])).
% 0.14/0.34 fof(f1068,plain,(
% 0.14/0.34 nil=sk2|~spl0_3),
% 0.14/0.34 inference(forward_demodulation,[status(thm)],[f442,f559])).
% 0.14/0.34 fof(f1076,plain,(
% 0.14/0.34 spl0_80 <=> ~ssItem(X0)|~ssItem(X0)|X0=X0),
% 0.14/0.34 introduced(split_symbol_definition)).
% 0.14/0.34 fof(f1079,plain,(
% 0.14/0.34 ![X0,X1]: (~ssItem(X0)|~ssItem(X0)|~ssList(X1)|~ssList(X1)|X0=X0)),
% 0.14/0.34 inference(equality_resolution,[status(esa)],[f409])).
% 0.14/0.34 fof(f1080,plain,(
% 0.14/0.34 spl0_80|spl0_69),
% 0.14/0.34 inference(split_clause,[status(thm)],[f1079,f1076,f997])).
% 0.14/0.34 fof(f1082,plain,(
% 0.14/0.34 $false|~spl0_72),
% 0.14/0.34 inference(backward_subsumption_resolution,[status(thm)],[f252,f1015])).
% 0.14/0.34 fof(f1083,plain,(
% 0.14/0.34 ~spl0_72),
% 0.14/0.34 inference(contradiction_clause,[status(thm)],[f1082])).
% 0.14/0.34 fof(f1084,plain,(
% 0.14/0.34 $false|~spl0_69),
% 0.14/0.34 inference(backward_subsumption_resolution,[status(thm)],[f260,f1063])).
% 0.14/0.34 fof(f1085,plain,(
% 0.14/0.34 ~spl0_69),
% 0.14/0.34 inference(contradiction_clause,[status(thm)],[f1084])).
% 0.14/0.34 fof(f1086,plain,(
% 0.14/0.34 neq(nil,nil)|~spl0_3|~spl0_12),
% 0.14/0.34 inference(backward_demodulation,[status(thm)],[f1068,f516])).
% 0.14/0.34 fof(f1090,plain,(
% 0.14/0.34 $false|spl0_19|~spl0_4),
% 0.14/0.34 inference(forward_subsumption_resolution,[status(thm)],[f554,f608])).
% 0.14/0.34 fof(f1091,plain,(
% 0.14/0.34 spl0_19|~spl0_4),
% 0.14/0.34 inference(contradiction_clause,[status(thm)],[f1090])).
% 0.14/0.34 fof(f1105,plain,(
% 0.14/0.34 ~ssList(nil)|~spl0_3|~spl0_12),
% 0.14/0.34 inference(resolution,[status(thm)],[f531,f1086])).
% 0.14/0.34 fof(f1106,plain,(
% 0.14/0.58 ~spl0_14|~spl0_3|~spl0_12),
% 0.14/0.58 inference(split_clause,[status(thm)],[f1105,f580,f474,f515])).
% 0.14/0.58 fof(f1107,plain,(
% 0.14/0.58 $false),
% 0.14/0.58 inference(sat_refutation,[status(thm)],[f477,f481,f485,f489,f493,f506,f507,f508,f509,f518,f522,f565,f587,f591,f610,f615,f648,f654,f671,f694,f725,f841,f1047,f1060,f1062,f1080,f1083,f1085,f1091,f1106])).
% 0.14/0.58 % SZS output end CNFRefutation for theBenchmark.p
% 0.14/0.58 % Elapsed time: 0.053013 seconds
% 0.14/0.58 % CPU time: 0.036894 seconds
% 0.14/0.58 % Memory used: 4.570 MB
%------------------------------------------------------------------------------