TSTP Solution File: SWC120-1 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : SWC120-1 : TPTP v8.1.2. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n022.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 12:39:19 EDT 2023
% Result : Unsatisfiable 14.65s 2.21s
% Output : CNFRefutation 14.65s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.09 % Problem : SWC120-1 : TPTP v8.1.2. Released v2.4.0.
% 0.02/0.10 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.09/0.30 % Computer : n022.cluster.edu
% 0.09/0.30 % Model : x86_64 x86_64
% 0.09/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.30 % Memory : 8042.1875MB
% 0.09/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.30 % CPULimit : 300
% 0.09/0.30 % WCLimit : 300
% 0.09/0.30 % DateTime : Tue May 30 11:19:57 EDT 2023
% 0.09/0.30 % CPUTime :
% 0.14/0.31 % Drodi V3.5.1
% 14.65/2.21 % Refutation found
% 14.65/2.21 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 14.65/2.21 % SZS output start CNFRefutation for theBenchmark
% 14.65/2.21 fof(f8,axiom,(
% 14.65/2.21 ssList(nil) ),
% 14.65/2.21 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 14.65/2.21 fof(f57,axiom,(
% 14.65/2.21 (![U]: (( ~ ssList(U)| segmentP(U,U) ) ))),
% 14.65/2.21 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 14.65/2.21 fof(f72,axiom,(
% 14.65/2.21 (![U,V]: (( ~ ssList(U)| duplicatefreeP(U)| ssItem(V) ) ))),
% 14.65/2.21 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 14.65/2.21 fof(f74,axiom,(
% 14.65/2.21 (![U]: (( ~ ssList(U)| app(nil,U) = U ) ))),
% 14.65/2.21 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 14.65/2.21 fof(f75,axiom,(
% 14.65/2.21 (![U]: (( ~ ssList(U)| ssList(tl(U))| nil = U ) ))),
% 14.65/2.21 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 14.65/2.21 fof(f76,axiom,(
% 14.65/2.21 (![U]: (( ~ ssList(U)| ssItem(hd(U))| nil = U ) ))),
% 14.65/2.21 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 14.65/2.21 fof(f85,axiom,(
% 14.65/2.21 (![U,V]: (( ~ ssList(U)| ~ ssList(V)| ssList(app(V,U)) ) ))),
% 14.65/2.21 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 14.65/2.21 fof(f86,axiom,(
% 14.65/2.21 (![U,V]: (( ~ ssItem(U)| ~ ssList(V)| ssList(cons(U,V)) ) ))),
% 14.65/2.21 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 14.65/2.21 fof(f99,axiom,(
% 14.65/2.21 (![U,V]: (( cons(U,V) != V| ~ ssItem(U)| ~ ssList(V) ) ))),
% 14.65/2.21 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 14.65/2.21 fof(f102,axiom,(
% 14.65/2.21 (![U,V]: (( ~ ssItem(U)| ~ ssItem(V)| neq(V,U)| V = U ) ))),
% 14.65/2.21 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 14.65/2.21 fof(f104,axiom,(
% 14.65/2.21 (![U]: (( ~ ssList(U)| cons(hd(U),tl(U)) = U| nil = U ) ))),
% 14.65/2.21 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 14.65/2.21 fof(f115,axiom,(
% 14.65/2.21 (![U,V]: (( U != V| ~ neq(U,V)| ~ ssList(V)| ~ ssList(U) ) ))),
% 14.65/2.21 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 14.65/2.21 fof(f117,axiom,(
% 14.65/2.21 (![U,V]: (( U != V| ~ neq(U,V)| ~ ssItem(V)| ~ ssItem(U) ) ))),
% 14.65/2.21 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 14.65/2.21 fof(f173,axiom,(
% 14.65/2.21 (![U,V,W,X]: (( app(app(U,V),W) != X| ~ ssList(W)| ~ ssList(U)| ~ ssList(V)| ~ ssList(X)| segmentP(X,V) ) ))),
% 14.65/2.21 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 14.65/2.21 fof(f179,axiom,(
% 14.65/2.21 (![U,V,W,X,Y]: (( app(app(U,cons(V,W)),cons(V,X)) != Y| ~ ssList(X)| ~ ssList(W)| ~ ssList(U)| ~ ssItem(V)| ~ duplicatefreeP(Y)| ~ ssList(Y) ) ))),
% 14.65/2.21 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 14.65/2.21 fof(f186,negated_conjecture,(
% 14.65/2.21 ssList(sk1) ),
% 14.65/2.21 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 14.65/2.21 fof(f187,negated_conjecture,(
% 14.65/2.21 ssList(sk2) ),
% 14.65/2.21 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 14.65/2.21 fof(f190,negated_conjecture,(
% 14.65/2.21 sk2 = sk4 ),
% 14.65/2.21 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 14.65/2.21 fof(f191,negated_conjecture,(
% 14.65/2.21 sk1 = sk3 ),
% 14.65/2.21 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 14.65/2.21 fof(f192,negated_conjecture,(
% 14.65/2.21 ( neq(sk2,nil)| neq(sk2,nil) ) ),
% 14.65/2.21 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 14.65/2.21 fof(f196,negated_conjecture,(
% 14.65/2.21 (![A,B]: (( ~ ssList(A)| sk4 = A| ~ ssList(B)| tl(sk4) != B| app(sk3,B) != A| ~ neq(nil,sk4)| ~ neq(sk4,nil) ) ))),
% 14.65/2.21 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 14.65/2.21 fof(f197,negated_conjecture,(
% 14.65/2.21 ( ~ neq(sk1,nil)| ~ segmentP(sk2,sk1)| ~ neq(sk4,nil) ) ),
% 14.65/2.21 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 14.65/2.21 fof(f205,plain,(
% 14.65/2.21 ssList(nil)),
% 14.65/2.21 inference(cnf_transformation,[status(esa)],[f8])).
% 14.65/2.21 fof(f254,plain,(
% 14.65/2.21 ![X0]: (~ssList(X0)|segmentP(X0,X0))),
% 14.65/2.21 inference(cnf_transformation,[status(esa)],[f57])).
% 14.65/2.21 fof(f269,plain,(
% 14.65/2.21 (![U]: (~ssList(U)|duplicatefreeP(U)))|(![V]: ssItem(V))),
% 14.65/2.21 inference(miniscoping,[status(esa)],[f72])).
% 14.65/2.21 fof(f270,plain,(
% 14.65/2.21 ![X0,X1]: (~ssList(X0)|duplicatefreeP(X0)|ssItem(X1))),
% 14.65/2.21 inference(cnf_transformation,[status(esa)],[f269])).
% 14.65/2.21 fof(f272,plain,(
% 14.65/2.21 ![X0]: (~ssList(X0)|app(nil,X0)=X0)),
% 14.65/2.21 inference(cnf_transformation,[status(esa)],[f74])).
% 14.65/2.21 fof(f273,plain,(
% 14.65/2.21 ![X0]: (~ssList(X0)|ssList(tl(X0))|nil=X0)),
% 14.65/2.21 inference(cnf_transformation,[status(esa)],[f75])).
% 14.65/2.21 fof(f274,plain,(
% 14.65/2.21 ![X0]: (~ssList(X0)|ssItem(hd(X0))|nil=X0)),
% 14.65/2.21 inference(cnf_transformation,[status(esa)],[f76])).
% 14.65/2.21 fof(f283,plain,(
% 14.65/2.21 ![X0,X1]: (~ssList(X0)|~ssList(X1)|ssList(app(X1,X0)))),
% 14.65/2.21 inference(cnf_transformation,[status(esa)],[f85])).
% 14.65/2.21 fof(f284,plain,(
% 14.65/2.21 ![X0,X1]: (~ssItem(X0)|~ssList(X1)|ssList(cons(X0,X1)))),
% 14.65/2.21 inference(cnf_transformation,[status(esa)],[f86])).
% 14.65/2.21 fof(f298,plain,(
% 14.65/2.21 ![V]: ((![U]: (~cons(U,V)=V|~ssItem(U)))|~ssList(V))),
% 14.65/2.21 inference(miniscoping,[status(esa)],[f99])).
% 14.65/2.21 fof(f299,plain,(
% 14.65/2.21 ![X0,X1]: (~cons(X0,X1)=X1|~ssItem(X0)|~ssList(X1))),
% 14.65/2.21 inference(cnf_transformation,[status(esa)],[f298])).
% 14.65/2.21 fof(f302,plain,(
% 14.65/2.21 ![X0,X1]: (~ssItem(X0)|~ssItem(X1)|neq(X1,X0)|X1=X0)),
% 14.65/2.21 inference(cnf_transformation,[status(esa)],[f102])).
% 14.65/2.21 fof(f304,plain,(
% 14.65/2.21 ![X0]: (~ssList(X0)|cons(hd(X0),tl(X0))=X0|nil=X0)),
% 14.65/2.21 inference(cnf_transformation,[status(esa)],[f104])).
% 14.65/2.21 fof(f318,plain,(
% 14.65/2.21 ![U]: ((![V]: ((~U=V|~neq(U,V))|~ssList(V)))|~ssList(U))),
% 14.65/2.21 inference(miniscoping,[status(esa)],[f115])).
% 14.65/2.21 fof(f319,plain,(
% 14.65/2.21 ![X0,X1]: (~X0=X1|~neq(X0,X1)|~ssList(X1)|~ssList(X0))),
% 14.65/2.21 inference(cnf_transformation,[status(esa)],[f318])).
% 14.65/2.21 fof(f322,plain,(
% 14.65/2.21 ![U]: ((![V]: ((~U=V|~neq(U,V))|~ssItem(V)))|~ssItem(U))),
% 14.65/2.21 inference(miniscoping,[status(esa)],[f117])).
% 14.65/2.21 fof(f323,plain,(
% 14.65/2.21 ![X0,X1]: (~X0=X1|~neq(X0,X1)|~ssItem(X1)|~ssItem(X0))),
% 14.65/2.21 inference(cnf_transformation,[status(esa)],[f322])).
% 14.65/2.21 fof(f403,plain,(
% 14.65/2.21 ![V,X]: ((((![U]: ((![W]: (~app(app(U,V),W)=X|~ssList(W)))|~ssList(U)))|~ssList(V))|~ssList(X))|segmentP(X,V))),
% 14.65/2.21 inference(miniscoping,[status(esa)],[f173])).
% 14.65/2.21 fof(f404,plain,(
% 14.65/2.21 ![X0,X1,X2,X3]: (~app(app(X0,X1),X2)=X3|~ssList(X2)|~ssList(X0)|~ssList(X1)|~ssList(X3)|segmentP(X3,X1))),
% 14.65/2.21 inference(cnf_transformation,[status(esa)],[f403])).
% 14.65/2.21 fof(f414,plain,(
% 14.65/2.21 ![Y]: (((![V]: ((![U]: ((![W]: ((![X]: (~app(app(U,cons(V,W)),cons(V,X))=Y|~ssList(X)))|~ssList(W)))|~ssList(U)))|~ssItem(V)))|~duplicatefreeP(Y))|~ssList(Y))),
% 14.65/2.21 inference(miniscoping,[status(esa)],[f179])).
% 14.65/2.21 fof(f415,plain,(
% 14.65/2.21 ![X0,X1,X2,X3,X4]: (~app(app(X0,cons(X1,X2)),cons(X1,X3))=X4|~ssList(X3)|~ssList(X2)|~ssList(X0)|~ssItem(X1)|~duplicatefreeP(X4)|~ssList(X4))),
% 14.65/2.21 inference(cnf_transformation,[status(esa)],[f414])).
% 14.65/2.21 fof(f428,plain,(
% 14.65/2.21 ssList(sk1)),
% 14.65/2.21 inference(cnf_transformation,[status(esa)],[f186])).
% 14.65/2.21 fof(f429,plain,(
% 14.65/2.21 ssList(sk2)),
% 14.65/2.21 inference(cnf_transformation,[status(esa)],[f187])).
% 14.65/2.21 fof(f432,plain,(
% 14.65/2.21 sk2=sk4),
% 14.65/2.21 inference(cnf_transformation,[status(esa)],[f190])).
% 14.65/2.21 fof(f433,plain,(
% 14.65/2.21 sk1=sk3),
% 14.65/2.21 inference(cnf_transformation,[status(esa)],[f191])).
% 14.65/2.21 fof(f434,plain,(
% 14.65/2.21 neq(sk2,nil)|neq(sk2,nil)),
% 14.65/2.21 inference(cnf_transformation,[status(esa)],[f192])).
% 14.65/2.21 fof(f439,plain,(
% 14.65/2.21 ((![A,B]: ((((~ssList(A)|sk4=A)|~ssList(B))|~tl(sk4)=B)|~app(sk3,B)=A))|~neq(nil,sk4))|~neq(sk4,nil)),
% 14.65/2.21 inference(miniscoping,[status(esa)],[f196])).
% 14.65/2.21 fof(f440,plain,(
% 14.65/2.21 ![X0,X1]: (~ssList(X0)|sk4=X0|~ssList(X1)|~tl(sk4)=X1|~app(sk3,X1)=X0|~neq(nil,sk4)|~neq(sk4,nil))),
% 14.65/2.21 inference(cnf_transformation,[status(esa)],[f439])).
% 14.65/2.21 fof(f441,plain,(
% 14.65/2.21 ~neq(sk1,nil)|~segmentP(sk2,sk1)|~neq(sk4,nil)),
% 14.65/2.21 inference(cnf_transformation,[status(esa)],[f197])).
% 14.65/2.21 fof(f442,plain,(
% 14.65/2.21 spl0_0 <=> ~ssList(X0)|duplicatefreeP(X0)),
% 14.65/2.21 introduced(split_symbol_definition)).
% 14.65/2.21 fof(f443,plain,(
% 14.65/2.21 ![X0]: (~ssList(X0)|duplicatefreeP(X0)|~spl0_0)),
% 14.65/2.21 inference(component_clause,[status(thm)],[f442])).
% 14.65/2.21 fof(f445,plain,(
% 14.65/2.21 spl0_1 <=> ssItem(X1)),
% 14.65/2.21 introduced(split_symbol_definition)).
% 14.65/2.21 fof(f446,plain,(
% 14.65/2.21 ![X0]: (ssItem(X0)|~spl0_1)),
% 14.65/2.21 inference(component_clause,[status(thm)],[f445])).
% 14.65/2.21 fof(f448,plain,(
% 14.65/2.21 spl0_0|spl0_1),
% 14.65/2.21 inference(split_clause,[status(thm)],[f270,f442,f445])).
% 14.65/2.21 fof(f449,plain,(
% 14.65/2.21 spl0_2 <=> neq(sk2,nil)),
% 14.65/2.21 introduced(split_symbol_definition)).
% 14.65/2.21 fof(f450,plain,(
% 14.65/2.21 neq(sk2,nil)|~spl0_2),
% 14.65/2.21 inference(component_clause,[status(thm)],[f449])).
% 14.65/2.21 fof(f452,plain,(
% 14.65/2.21 spl0_2),
% 14.65/2.21 inference(split_clause,[status(thm)],[f434,f449])).
% 14.65/2.21 fof(f453,plain,(
% 14.65/2.21 spl0_3 <=> neq(sk4,nil)),
% 14.65/2.21 introduced(split_symbol_definition)).
% 14.65/2.21 fof(f455,plain,(
% 14.65/2.21 ~neq(sk4,nil)|spl0_3),
% 14.65/2.21 inference(component_clause,[status(thm)],[f453])).
% 14.65/2.21 fof(f457,plain,(
% 14.65/2.21 spl0_4 <=> ~ssList(X0)|sk4=X0|~ssList(X1)|~tl(sk4)=X1|~app(sk3,X1)=X0),
% 14.65/2.21 introduced(split_symbol_definition)).
% 14.65/2.21 fof(f458,plain,(
% 14.65/2.21 ![X0,X1]: (~ssList(X0)|sk4=X0|~ssList(X1)|~tl(sk4)=X1|~app(sk3,X1)=X0|~spl0_4)),
% 14.65/2.21 inference(component_clause,[status(thm)],[f457])).
% 14.65/2.21 fof(f460,plain,(
% 14.65/2.21 spl0_5 <=> neq(nil,sk4)),
% 14.65/2.21 introduced(split_symbol_definition)).
% 14.65/2.21 fof(f461,plain,(
% 14.65/2.21 neq(nil,sk4)|~spl0_5),
% 14.65/2.21 inference(component_clause,[status(thm)],[f460])).
% 14.65/2.21 fof(f462,plain,(
% 14.65/2.21 ~neq(nil,sk4)|spl0_5),
% 14.65/2.21 inference(component_clause,[status(thm)],[f460])).
% 14.65/2.21 fof(f464,plain,(
% 14.65/2.21 spl0_6 <=> neq(sk1,nil)),
% 14.65/2.21 introduced(split_symbol_definition)).
% 14.65/2.21 fof(f466,plain,(
% 14.65/2.21 ~neq(sk1,nil)|spl0_6),
% 14.65/2.21 inference(component_clause,[status(thm)],[f464])).
% 14.65/2.21 fof(f467,plain,(
% 14.65/2.21 spl0_7 <=> segmentP(sk2,sk1)),
% 14.65/2.21 introduced(split_symbol_definition)).
% 14.65/2.21 fof(f471,plain,(
% 14.65/2.21 spl0_4|~spl0_5|~spl0_3),
% 14.65/2.21 inference(split_clause,[status(thm)],[f440,f457,f460,f453])).
% 14.65/2.21 fof(f472,plain,(
% 14.65/2.21 ~spl0_6|~spl0_7|~spl0_3),
% 14.65/2.21 inference(split_clause,[status(thm)],[f441,f464,f467,f453])).
% 14.65/2.21 fof(f480,plain,(
% 14.65/2.21 ![X1]: (~neq(X1,X1)|~ssList(X1)|~ssList(X1))),
% 14.65/2.21 inference(destructive_equality_resolution,[status(esa)],[f319])).
% 14.65/2.21 fof(f481,plain,(
% 14.65/2.21 ![X0]: (~neq(X0,X0)|~ssList(X0))),
% 14.65/2.21 inference(duplicate_literals_removal,[status(esa)],[f480])).
% 14.65/2.21 fof(f483,plain,(
% 14.65/2.21 ![X1]: (~neq(X1,X1)|~ssItem(X1)|~ssItem(X1))),
% 14.65/2.21 inference(destructive_equality_resolution,[status(esa)],[f323])).
% 14.65/2.21 fof(f484,plain,(
% 14.65/2.21 ![X0]: (~neq(X0,X0)|~ssItem(X0))),
% 14.65/2.21 inference(duplicate_literals_removal,[status(esa)],[f483])).
% 14.65/2.21 fof(f493,plain,(
% 14.65/2.21 ![X0,X1,X2]: (~ssList(X0)|~ssList(X1)|~ssList(X2)|~ssList(app(app(X1,X2),X0))|segmentP(app(app(X1,X2),X0),X2))),
% 14.65/2.21 inference(destructive_equality_resolution,[status(esa)],[f404])).
% 14.65/2.21 fof(f497,plain,(
% 14.65/2.21 ![X0,X1,X2,X3]: (~ssList(X0)|~ssList(X1)|~ssList(X2)|~ssItem(X3)|~duplicatefreeP(app(app(X2,cons(X3,X1)),cons(X3,X0)))|~ssList(app(app(X2,cons(X3,X1)),cons(X3,X0))))),
% 14.65/2.21 inference(destructive_equality_resolution,[status(esa)],[f415])).
% 14.65/2.21 fof(f504,plain,(
% 14.65/2.21 ~neq(sk2,nil)|spl0_3),
% 14.65/2.21 inference(forward_demodulation,[status(thm)],[f432,f455])).
% 14.65/2.21 fof(f505,plain,(
% 14.65/2.21 $false|spl0_3|~spl0_2),
% 14.65/2.21 inference(forward_subsumption_resolution,[status(thm)],[f450,f504])).
% 14.65/2.21 fof(f506,plain,(
% 14.65/2.21 spl0_3|~spl0_2),
% 14.65/2.21 inference(contradiction_clause,[status(thm)],[f505])).
% 14.65/2.21 fof(f509,plain,(
% 14.65/2.21 ~neq(nil,sk2)|spl0_5),
% 14.65/2.21 inference(forward_demodulation,[status(thm)],[f432,f462])).
% 14.65/2.21 fof(f510,plain,(
% 14.65/2.21 ![X0,X1,X2,X3]: (~ssList(X0)|~ssList(X1)|~ssList(X2)|~ssItem(X3)|~ssList(app(app(X2,cons(X3,X1)),cons(X3,X0)))|~spl0_0)),
% 14.65/2.21 inference(backward_subsumption_resolution,[status(thm)],[f497,f443])).
% 14.65/2.21 fof(f511,plain,(
% 14.65/2.21 segmentP(sk2,sk2)),
% 14.65/2.21 inference(resolution,[status(thm)],[f254,f429])).
% 14.65/2.21 fof(f512,plain,(
% 14.65/2.21 segmentP(sk1,sk1)),
% 14.65/2.21 inference(resolution,[status(thm)],[f254,f428])).
% 14.65/2.21 fof(f518,plain,(
% 14.65/2.21 app(nil,sk1)=sk1),
% 14.65/2.21 inference(resolution,[status(thm)],[f272,f428])).
% 14.65/2.21 fof(f521,plain,(
% 14.65/2.21 ~neq(nil,nil)),
% 14.65/2.21 inference(resolution,[status(thm)],[f205,f481])).
% 14.65/2.21 fof(f523,plain,(
% 14.65/2.21 ![X0]: (~ssList(X0)|nil=X0|app(nil,tl(X0))=tl(X0))),
% 14.65/2.21 inference(resolution,[status(thm)],[f273,f272])).
% 14.65/2.21 fof(f547,plain,(
% 14.65/2.21 spl0_8 <=> ssList(nil)),
% 14.65/2.21 introduced(split_symbol_definition)).
% 14.65/2.21 fof(f549,plain,(
% 14.65/2.21 ~ssList(nil)|spl0_8),
% 14.65/2.21 inference(component_clause,[status(thm)],[f547])).
% 14.65/2.21 fof(f557,plain,(
% 14.65/2.21 $false|spl0_8),
% 14.65/2.21 inference(forward_subsumption_resolution,[status(thm)],[f549,f205])).
% 14.65/2.21 fof(f558,plain,(
% 14.65/2.21 spl0_8),
% 14.65/2.21 inference(contradiction_clause,[status(thm)],[f557])).
% 14.65/2.21 fof(f563,plain,(
% 14.65/2.21 ![X0,X1,X2,X3]: (~ssList(cons(X0,X1))|~ssList(app(X2,cons(X0,X3)))|~ssList(X1)|~ssList(X3)|~ssList(X2)|~ssItem(X0)|~spl0_0)),
% 14.65/2.21 inference(resolution,[status(thm)],[f283,f510])).
% 14.65/2.21 fof(f564,plain,(
% 14.65/2.21 ![X0,X1,X2,X3]: (~ssList(app(X0,cons(X1,X2)))|~ssList(X3)|~ssList(X2)|~ssList(X0)|~ssItem(X1)|~spl0_0)),
% 14.65/2.21 inference(forward_subsumption_resolution,[status(thm)],[f563,f284])).
% 14.65/2.21 fof(f574,plain,(
% 14.65/2.21 spl0_10 <=> ssList(sk1)),
% 14.65/2.21 introduced(split_symbol_definition)).
% 14.65/2.21 fof(f576,plain,(
% 14.65/2.21 ~ssList(sk1)|spl0_10),
% 14.65/2.21 inference(component_clause,[status(thm)],[f574])).
% 14.65/2.21 fof(f579,plain,(
% 14.65/2.21 spl0_11 <=> ssList(sk2)),
% 14.65/2.21 introduced(split_symbol_definition)).
% 14.65/2.21 fof(f581,plain,(
% 14.65/2.21 ~ssList(sk2)|spl0_11),
% 14.65/2.21 inference(component_clause,[status(thm)],[f579])).
% 14.65/2.21 fof(f611,plain,(
% 14.65/2.21 ![X0]: (~neq(X0,X0)|~spl0_1)),
% 14.65/2.21 inference(backward_subsumption_resolution,[status(thm)],[f484,f446])).
% 14.65/2.21 fof(f682,plain,(
% 14.65/2.21 ![X0,X1]: (~ssItem(X0)|neq(X0,X1)|X0=X1|~spl0_1)),
% 14.65/2.21 inference(backward_subsumption_resolution,[status(thm)],[f302,f446])).
% 14.65/2.21 fof(f683,plain,(
% 14.65/2.21 ![X0,X1]: (neq(X0,X1)|X0=X1|~spl0_1)),
% 14.65/2.21 inference(forward_subsumption_resolution,[status(thm)],[f682,f446])).
% 14.65/2.21 fof(f684,plain,(
% 14.65/2.21 ![X0,X1]: (~cons(X0,X1)=X1|~ssList(X1)|~spl0_1)),
% 14.65/2.21 inference(backward_subsumption_resolution,[status(thm)],[f299,f446])).
% 14.65/2.21 fof(f697,plain,(
% 14.65/2.21 nil=sk2|~spl0_1|spl0_5),
% 14.65/2.21 inference(resolution,[status(thm)],[f683,f509])).
% 14.65/2.21 fof(f698,plain,(
% 14.65/2.21 sk1=nil|~spl0_1|spl0_6),
% 14.65/2.21 inference(resolution,[status(thm)],[f683,f466])).
% 14.65/2.21 fof(f703,plain,(
% 14.65/2.21 neq(nil,nil)|~spl0_1|spl0_5|~spl0_2),
% 14.65/2.21 inference(backward_demodulation,[status(thm)],[f697,f450])).
% 14.65/2.21 fof(f704,plain,(
% 14.65/2.21 $false|~spl0_1|spl0_5|~spl0_2),
% 14.65/2.21 inference(forward_subsumption_resolution,[status(thm)],[f703,f611])).
% 14.65/2.21 fof(f705,plain,(
% 14.65/2.21 ~spl0_1|spl0_5|~spl0_2),
% 14.65/2.21 inference(contradiction_clause,[status(thm)],[f704])).
% 14.65/2.21 fof(f706,plain,(
% 14.65/2.21 spl0_15 <=> ~ssList(app(X0,cons(X1,X2)))|~ssList(X2)|~ssList(X0)|~ssItem(X1)),
% 14.65/2.21 introduced(split_symbol_definition)).
% 14.65/2.21 fof(f707,plain,(
% 14.65/2.21 ![X0,X1,X2]: (~ssList(app(X0,cons(X1,X2)))|~ssList(X2)|~ssList(X0)|~ssItem(X1)|~spl0_15)),
% 14.65/2.21 inference(component_clause,[status(thm)],[f706])).
% 14.65/2.21 fof(f709,plain,(
% 14.65/2.21 spl0_16 <=> ~ssList(X3)),
% 14.65/2.21 introduced(split_symbol_definition)).
% 14.65/2.21 fof(f710,plain,(
% 14.65/2.21 ![X0]: (~ssList(X0)|~spl0_16)),
% 14.65/2.21 inference(component_clause,[status(thm)],[f709])).
% 14.65/2.21 fof(f712,plain,(
% 14.65/2.21 spl0_15|spl0_16|~spl0_0),
% 14.65/2.21 inference(split_clause,[status(thm)],[f564,f706,f709,f442])).
% 14.65/2.21 fof(f713,plain,(
% 14.65/2.21 $false|spl0_11),
% 14.65/2.21 inference(forward_subsumption_resolution,[status(thm)],[f429,f581])).
% 14.65/2.21 fof(f714,plain,(
% 14.65/2.21 spl0_11),
% 14.65/2.21 inference(contradiction_clause,[status(thm)],[f713])).
% 14.65/2.21 fof(f715,plain,(
% 14.65/2.21 $false|spl0_10),
% 14.65/2.21 inference(forward_subsumption_resolution,[status(thm)],[f428,f576])).
% 14.65/2.21 fof(f716,plain,(
% 14.65/2.21 spl0_10),
% 14.65/2.21 inference(contradiction_clause,[status(thm)],[f715])).
% 14.65/2.21 fof(f722,plain,(
% 14.65/2.21 spl0_17 <=> ~ssList(X0)|~ssItem(X2)|~ssList(cons(X2,X0))),
% 14.65/2.21 introduced(split_symbol_definition)).
% 14.65/2.21 fof(f723,plain,(
% 14.65/2.21 ![X0,X1]: (~ssList(X0)|~ssItem(X1)|~ssList(cons(X1,X0))|~spl0_17)),
% 14.65/2.21 inference(component_clause,[status(thm)],[f722])).
% 14.65/2.21 fof(f725,plain,(
% 14.65/2.21 spl0_18 <=> ~ssList(X1)|~ssList(X1)),
% 14.65/2.21 introduced(split_symbol_definition)).
% 14.65/2.21 fof(f726,plain,(
% 14.65/2.21 ![X0]: (~ssList(X0)|~ssList(X0)|~spl0_18)),
% 14.65/2.21 inference(component_clause,[status(thm)],[f725])).
% 14.65/2.21 fof(f728,plain,(
% 14.65/2.21 ![X0,X1,X2]: (~ssList(X0)|~ssList(X1)|~ssItem(X2)|~ssList(cons(X2,X0))|~ssList(X1)|~spl0_15)),
% 14.65/2.21 inference(resolution,[status(thm)],[f707,f283])).
% 14.65/2.21 fof(f729,plain,(
% 14.65/2.21 spl0_17|spl0_18|~spl0_15),
% 14.65/2.21 inference(split_clause,[status(thm)],[f728,f722,f725,f706])).
% 14.65/2.21 fof(f730,plain,(
% 14.65/2.21 ![X0,X1]: (~ssList(X0)|sk2=X0|~ssList(X1)|~tl(sk4)=X1|~app(sk3,X1)=X0|~spl0_4)),
% 14.65/2.21 inference(forward_demodulation,[status(thm)],[f432,f458])).
% 14.65/2.21 fof(f731,plain,(
% 14.65/2.21 ![X0,X1]: (~ssList(X0)|sk2=X0|~ssList(X1)|~tl(sk2)=X1|~app(sk3,X1)=X0|~spl0_4)),
% 14.65/2.21 inference(forward_demodulation,[status(thm)],[f432,f730])).
% 14.65/2.21 fof(f732,plain,(
% 14.65/2.21 ![X0,X1]: (~ssList(X0)|sk2=X0|~ssList(X1)|~tl(sk2)=X1|~app(sk1,X1)=X0|~spl0_4)),
% 14.65/2.21 inference(forward_demodulation,[status(thm)],[f433,f731])).
% 14.65/2.21 fof(f733,plain,(
% 14.65/2.21 ~ssList(app(sk1,tl(sk2)))|sk2=app(sk1,tl(sk2))|~ssList(tl(sk2))|~spl0_4),
% 14.65/2.21 inference(destructive_equality_resolution,[status(esa)],[f732])).
% 14.65/2.21 fof(f734,plain,(
% 14.65/2.21 $false|~spl0_16),
% 14.65/2.21 inference(backward_subsumption_resolution,[status(thm)],[f205,f710])).
% 14.65/2.21 fof(f735,plain,(
% 14.65/2.21 ~spl0_16),
% 14.65/2.21 inference(contradiction_clause,[status(thm)],[f734])).
% 14.65/2.21 fof(f736,plain,(
% 14.65/2.21 ![X0,X1]: (~ssItem(X0)|~ssList(X1)|~spl0_17)),
% 14.65/2.21 inference(forward_subsumption_resolution,[status(thm)],[f284,f723])).
% 14.65/2.21 fof(f737,plain,(
% 14.65/2.21 ![X0]: (~ssList(X0)|nil=X0|~spl0_17)),
% 14.65/2.21 inference(forward_subsumption_resolution,[status(thm)],[f274,f736])).
% 14.65/2.21 fof(f764,plain,(
% 14.65/2.21 nil=sk2|~spl0_17),
% 14.65/2.21 inference(resolution,[status(thm)],[f429,f737])).
% 14.65/2.21 fof(f780,plain,(
% 14.65/2.21 neq(nil,nil)|~spl0_17|~spl0_2),
% 14.65/2.21 inference(backward_demodulation,[status(thm)],[f764,f450])).
% 14.65/2.21 fof(f781,plain,(
% 14.65/2.21 $false|~spl0_17|~spl0_2),
% 14.65/2.21 inference(forward_subsumption_resolution,[status(thm)],[f780,f521])).
% 14.65/2.21 fof(f782,plain,(
% 14.65/2.21 ~spl0_17|~spl0_2),
% 14.65/2.21 inference(contradiction_clause,[status(thm)],[f781])).
% 14.65/2.21 fof(f783,plain,(
% 14.65/2.21 ![X0]: (~ssList(X0)|~spl0_18)),
% 14.65/2.21 inference(duplicate_literals_removal,[status(esa)],[f726])).
% 14.65/2.21 fof(f784,plain,(
% 14.65/2.21 spl0_16|~spl0_18),
% 14.65/2.21 inference(split_clause,[status(thm)],[f783,f709,f725])).
% 14.65/2.21 fof(f785,plain,(
% 14.65/2.21 spl0_19 <=> ssList(app(sk1,tl(sk2)))),
% 14.65/2.21 introduced(split_symbol_definition)).
% 14.65/2.21 fof(f787,plain,(
% 14.65/2.21 ~ssList(app(sk1,tl(sk2)))|spl0_19),
% 14.65/2.21 inference(component_clause,[status(thm)],[f785])).
% 14.65/2.21 fof(f788,plain,(
% 14.65/2.21 spl0_20 <=> sk2=app(sk1,tl(sk2))),
% 14.65/2.21 introduced(split_symbol_definition)).
% 14.65/2.21 fof(f789,plain,(
% 14.65/2.21 sk2=app(sk1,tl(sk2))|~spl0_20),
% 14.65/2.21 inference(component_clause,[status(thm)],[f788])).
% 14.65/2.21 fof(f791,plain,(
% 14.65/2.21 spl0_21 <=> ssList(tl(sk2))),
% 14.65/2.21 introduced(split_symbol_definition)).
% 14.65/2.21 fof(f793,plain,(
% 14.65/2.21 ~ssList(tl(sk2))|spl0_21),
% 14.65/2.21 inference(component_clause,[status(thm)],[f791])).
% 14.65/2.21 fof(f794,plain,(
% 14.65/2.21 ~spl0_19|spl0_20|~spl0_21|~spl0_4),
% 14.65/2.21 inference(split_clause,[status(thm)],[f733,f785,f788,f791,f457])).
% 14.65/2.21 fof(f795,plain,(
% 14.65/2.21 neq(nil,sk2)|~spl0_5),
% 14.65/2.21 inference(forward_demodulation,[status(thm)],[f432,f461])).
% 14.65/2.21 fof(f804,plain,(
% 14.65/2.21 app(nil,sk1)=nil|~spl0_1|spl0_6),
% 14.65/2.21 inference(backward_demodulation,[status(thm)],[f698,f518])).
% 14.65/2.21 fof(f805,plain,(
% 14.65/2.21 sk1=nil|~spl0_1|spl0_6),
% 14.65/2.21 inference(forward_demodulation,[status(thm)],[f518,f804])).
% 14.65/2.21 fof(f916,plain,(
% 14.65/2.21 ![X0,X1,X2]: (~ssList(X0)|~ssList(X1)|~ssList(X2)|segmentP(app(app(X1,X2),X0),X2)|~ssList(X0)|~ssList(app(X1,X2)))),
% 14.65/2.21 inference(resolution,[status(thm)],[f493,f283])).
% 14.65/2.21 fof(f917,plain,(
% 14.65/2.21 ![X0,X1,X2]: (~ssList(X0)|~ssList(X1)|~ssList(X2)|segmentP(app(app(X1,X2),X0),X2)|~ssList(app(X1,X2)))),
% 14.65/2.21 inference(duplicate_literals_removal,[status(esa)],[f916])).
% 14.65/2.21 fof(f918,plain,(
% 14.65/2.21 ![X0,X1,X2]: (~ssList(X0)|~ssList(X1)|~ssList(X2)|segmentP(app(app(X1,X2),X0),X2))),
% 14.65/2.21 inference(forward_subsumption_resolution,[status(thm)],[f917,f283])).
% 14.65/2.21 fof(f993,plain,(
% 14.65/2.21 spl0_31 <=> nil=sk2),
% 14.65/2.21 introduced(split_symbol_definition)).
% 14.65/2.21 fof(f994,plain,(
% 14.65/2.21 nil=sk2|~spl0_31),
% 14.65/2.21 inference(component_clause,[status(thm)],[f993])).
% 14.65/2.21 fof(f996,plain,(
% 14.65/2.21 spl0_32 <=> app(nil,tl(sk2))=tl(sk2)),
% 14.65/2.21 introduced(split_symbol_definition)).
% 14.65/2.21 fof(f997,plain,(
% 14.65/2.21 app(nil,tl(sk2))=tl(sk2)|~spl0_32),
% 14.65/2.21 inference(component_clause,[status(thm)],[f996])).
% 14.65/2.21 fof(f999,plain,(
% 14.65/2.21 nil=sk2|app(nil,tl(sk2))=tl(sk2)),
% 14.65/2.21 inference(resolution,[status(thm)],[f523,f429])).
% 14.65/2.21 fof(f1000,plain,(
% 14.65/2.21 spl0_31|spl0_32),
% 14.65/2.21 inference(split_clause,[status(thm)],[f999,f993,f996])).
% 14.65/2.21 fof(f1026,plain,(
% 14.65/2.21 neq(nil,nil)|~spl0_31|~spl0_5),
% 14.65/2.21 inference(backward_demodulation,[status(thm)],[f994,f795])).
% 14.65/2.21 fof(f1027,plain,(
% 14.65/2.21 $false|~spl0_1|~spl0_31|~spl0_5),
% 14.65/2.21 inference(forward_subsumption_resolution,[status(thm)],[f1026,f611])).
% 14.65/2.21 fof(f1028,plain,(
% 14.65/2.21 ~spl0_1|~spl0_31|~spl0_5),
% 14.65/2.21 inference(contradiction_clause,[status(thm)],[f1027])).
% 14.65/2.21 fof(f1043,plain,(
% 14.65/2.21 spl0_33 <=> segmentP(sk2,sk2)),
% 14.65/2.21 introduced(split_symbol_definition)).
% 14.65/2.21 fof(f1045,plain,(
% 14.65/2.21 ~segmentP(sk2,sk2)|spl0_33),
% 14.65/2.21 inference(component_clause,[status(thm)],[f1043])).
% 14.65/2.21 fof(f1056,plain,(
% 14.65/2.21 $false|spl0_33),
% 14.65/2.21 inference(forward_subsumption_resolution,[status(thm)],[f1045,f511])).
% 14.65/2.21 fof(f1057,plain,(
% 14.65/2.21 spl0_33),
% 14.65/2.21 inference(contradiction_clause,[status(thm)],[f1056])).
% 14.65/2.21 fof(f1076,plain,(
% 14.65/2.21 ~ssList(sk2)|nil=sk2|spl0_21),
% 14.65/2.21 inference(resolution,[status(thm)],[f793,f273])).
% 14.65/2.21 fof(f1077,plain,(
% 14.65/2.21 ~spl0_11|spl0_31|spl0_21),
% 14.65/2.21 inference(split_clause,[status(thm)],[f1076,f579,f993,f791])).
% 14.65/2.21 fof(f1200,plain,(
% 14.65/2.21 sk2=app(nil,tl(sk2))|~spl0_1|spl0_6|~spl0_20),
% 14.65/2.21 inference(forward_demodulation,[status(thm)],[f805,f789])).
% 14.65/2.21 fof(f1201,plain,(
% 14.65/2.21 sk2=tl(sk2)|~spl0_1|spl0_6|~spl0_20|~spl0_32),
% 14.65/2.21 inference(forward_demodulation,[status(thm)],[f1200,f997])).
% 14.65/2.21 fof(f1277,plain,(
% 14.65/2.21 ![X0]: (~cons(X0,sk2)=sk2|~spl0_1)),
% 14.65/2.21 inference(resolution,[status(thm)],[f429,f684])).
% 14.65/2.21 fof(f2116,plain,(
% 14.65/2.21 spl0_112 <=> cons(hd(sk2),tl(sk2))=sk2),
% 14.65/2.21 introduced(split_symbol_definition)).
% 14.65/2.21 fof(f2117,plain,(
% 14.65/2.21 cons(hd(sk2),tl(sk2))=sk2|~spl0_112),
% 14.65/2.21 inference(component_clause,[status(thm)],[f2116])).
% 14.65/2.21 fof(f2119,plain,(
% 14.65/2.23 cons(hd(sk2),tl(sk2))=sk2|nil=sk2),
% 14.65/2.23 inference(resolution,[status(thm)],[f304,f429])).
% 14.65/2.23 fof(f2120,plain,(
% 14.65/2.23 spl0_112|spl0_31),
% 14.65/2.23 inference(split_clause,[status(thm)],[f2119,f2116,f993])).
% 14.65/2.23 fof(f2123,plain,(
% 14.65/2.23 cons(hd(sk2),sk2)=sk2|~spl0_1|spl0_6|~spl0_20|~spl0_32|~spl0_112),
% 14.65/2.23 inference(forward_demodulation,[status(thm)],[f1201,f2117])).
% 14.65/2.23 fof(f2124,plain,(
% 14.65/2.23 $false|~spl0_1|spl0_6|~spl0_20|~spl0_32|~spl0_112),
% 14.65/2.23 inference(forward_subsumption_resolution,[status(thm)],[f2123,f1277])).
% 14.65/2.23 fof(f2125,plain,(
% 14.65/2.23 ~spl0_1|spl0_6|~spl0_20|~spl0_32|~spl0_112),
% 14.65/2.23 inference(contradiction_clause,[status(thm)],[f2124])).
% 14.65/2.23 fof(f2745,plain,(
% 14.65/2.23 ~ssList(tl(sk2))|~ssList(sk1)|spl0_19),
% 14.65/2.23 inference(resolution,[status(thm)],[f787,f283])).
% 14.65/2.23 fof(f2746,plain,(
% 14.65/2.23 ~spl0_21|~spl0_10|spl0_19),
% 14.65/2.23 inference(split_clause,[status(thm)],[f2745,f791,f574,f785])).
% 14.65/2.23 fof(f3065,plain,(
% 14.65/2.23 ![X0,X1]: (~ssList(X0)|~ssList(X1)|segmentP(app(app(X1,sk1),X0),sk1))),
% 14.65/2.23 inference(resolution,[status(thm)],[f428,f918])).
% 14.65/2.23 fof(f3170,plain,(
% 14.65/2.23 spl0_209 <=> segmentP(sk1,sk1)),
% 14.65/2.23 introduced(split_symbol_definition)).
% 14.65/2.23 fof(f3172,plain,(
% 14.65/2.23 ~segmentP(sk1,sk1)|spl0_209),
% 14.65/2.23 inference(component_clause,[status(thm)],[f3170])).
% 14.65/2.23 fof(f3183,plain,(
% 14.65/2.23 $false|spl0_209),
% 14.65/2.23 inference(forward_subsumption_resolution,[status(thm)],[f3172,f512])).
% 14.65/2.23 fof(f3184,plain,(
% 14.65/2.23 spl0_209),
% 14.65/2.23 inference(contradiction_clause,[status(thm)],[f3183])).
% 14.65/2.23 fof(f3448,plain,(
% 14.65/2.23 spl0_247 <=> ~ssList(X0)|segmentP(app(sk1,X0),sk1)),
% 14.65/2.23 introduced(split_symbol_definition)).
% 14.65/2.23 fof(f3449,plain,(
% 14.65/2.23 ![X0]: (~ssList(X0)|segmentP(app(sk1,X0),sk1)|~spl0_247)),
% 14.65/2.23 inference(component_clause,[status(thm)],[f3448])).
% 14.65/2.23 fof(f3451,plain,(
% 14.65/2.23 ![X0]: (~ssList(X0)|~ssList(nil)|segmentP(app(sk1,X0),sk1))),
% 14.65/2.23 inference(paramodulation,[status(thm)],[f518,f3065])).
% 14.65/2.23 fof(f3452,plain,(
% 14.65/2.23 spl0_247|~spl0_8),
% 14.65/2.23 inference(split_clause,[status(thm)],[f3451,f3448,f547])).
% 14.65/2.23 fof(f4056,plain,(
% 14.65/2.23 ~ssList(tl(sk2))|segmentP(sk2,sk1)|~spl0_247|~spl0_20),
% 14.65/2.23 inference(paramodulation,[status(thm)],[f789,f3449])).
% 14.65/2.23 fof(f4057,plain,(
% 14.65/2.23 ~spl0_21|spl0_7|~spl0_247|~spl0_20),
% 14.65/2.23 inference(split_clause,[status(thm)],[f4056,f791,f467,f3448,f788])).
% 14.65/2.23 fof(f4060,plain,(
% 14.65/2.23 $false),
% 14.65/2.23 inference(sat_refutation,[status(thm)],[f448,f452,f471,f472,f506,f558,f705,f712,f714,f716,f729,f735,f782,f784,f794,f1000,f1028,f1057,f1077,f2120,f2125,f2746,f3184,f3452,f4057])).
% 14.65/2.23 % SZS output end CNFRefutation for theBenchmark.p
% 14.65/2.26 % Elapsed time: 1.943147 seconds
% 14.65/2.26 % CPU time: 14.940474 seconds
% 14.65/2.26 % Memory used: 144.086 MB
%------------------------------------------------------------------------------