TSTP Solution File: SWC105+1 by Drodi---3.5.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : SWC105+1 : TPTP v8.1.2. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n013.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed May 31 12:39:16 EDT 2023
% Result : Theorem 0.16s 0.33s
% Output : CNFRefutation 0.16s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.10 % Problem : SWC105+1 : TPTP v8.1.2. Released v2.4.0.
% 0.06/0.10 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.10/0.31 % Computer : n013.cluster.edu
% 0.10/0.31 % Model : x86_64 x86_64
% 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31 % Memory : 8042.1875MB
% 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31 % CPULimit : 300
% 0.10/0.31 % WCLimit : 300
% 0.10/0.31 % DateTime : Tue May 30 11:17:50 EDT 2023
% 0.10/0.31 % CPUTime :
% 0.16/0.32 % Drodi V3.5.1
% 0.16/0.33 % Refutation found
% 0.16/0.33 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.16/0.33 % SZS output start CNFRefutation for theBenchmark
% 0.16/0.33 fof(f15,axiom,(
% 0.16/0.33 (! [U] :( ssList(U)=> (! [V] :( ssList(V)=> ( neq(U,V)<=> U != V ) ) )) )),
% 0.16/0.33 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/0.33 fof(f17,axiom,(
% 0.16/0.33 ssList(nil) ),
% 0.16/0.33 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/0.33 fof(f47,axiom,(
% 0.16/0.33 (! [U] :( ssList(U)=> (! [V] :( ssList(V)=> (! [W] :( ssList(W)=> ( ( rearsegP(U,V)& rearsegP(V,W) )=> rearsegP(U,W) ) ) )) )) )),
% 0.16/0.33 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/0.33 fof(f48,axiom,(
% 0.16/0.33 (! [U] :( ssList(U)=> (! [V] :( ssList(V)=> ( ( rearsegP(U,V)& rearsegP(V,U) )=> U = V ) ) )) )),
% 0.16/0.33 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/0.33 fof(f51,axiom,(
% 0.16/0.33 (! [U] :( ssList(U)=> rearsegP(U,nil) ) )),
% 0.16/0.33 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/0.33 fof(f52,axiom,(
% 0.16/0.33 (! [U] :( ssList(U)=> ( rearsegP(nil,U)<=> nil = U ) ) )),
% 0.16/0.33 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/0.33 fof(f96,conjecture,(
% 0.16/0.33 (! [U] :( ssList(U)=> (! [V] :( ssList(V)=> (! [W] :( ssList(W)=> (! [X] :( ssList(X)=> ( V != X| U != W| ( ( nil != V| nil = U )& ( ~ neq(V,nil)| ( neq(U,nil)& rearsegP(V,U) ) ) )| ( ( nil != X| nil != W )& ( ~ neq(W,nil)| ~ rearsegP(X,W) ) ) ) ) )) )) )) )),
% 0.16/0.33 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/0.33 fof(f97,negated_conjecture,(
% 0.16/0.33 ~((! [U] :( ssList(U)=> (! [V] :( ssList(V)=> (! [W] :( ssList(W)=> (! [X] :( ssList(X)=> ( V != X| U != W| ( ( nil != V| nil = U )& ( ~ neq(V,nil)| ( neq(U,nil)& rearsegP(V,U) ) ) )| ( ( nil != X| nil != W )& ( ~ neq(W,nil)| ~ rearsegP(X,W) ) ) ) ) )) )) )) ))),
% 0.16/0.33 inference(negated_conjecture,[status(cth)],[f96])).
% 0.16/0.33 fof(f217,plain,(
% 0.16/0.33 ![U]: (~ssList(U)|(![V]: (~ssList(V)|(neq(U,V)<=>~U=V))))),
% 0.16/0.33 inference(pre_NNF_transformation,[status(esa)],[f15])).
% 0.16/0.33 fof(f218,plain,(
% 0.16/0.33 ![U]: (~ssList(U)|(![V]: (~ssList(V)|((~neq(U,V)|~U=V)&(neq(U,V)|U=V)))))),
% 0.16/0.33 inference(NNF_transformation,[status(esa)],[f217])).
% 0.16/0.33 fof(f219,plain,(
% 0.16/0.33 ![X0,X1]: (~ssList(X0)|~ssList(X1)|~neq(X0,X1)|~X0=X1)),
% 0.16/0.33 inference(cnf_transformation,[status(esa)],[f218])).
% 0.16/0.33 fof(f223,plain,(
% 0.16/0.33 ssList(nil)),
% 0.16/0.33 inference(cnf_transformation,[status(esa)],[f17])).
% 0.16/0.33 fof(f300,plain,(
% 0.16/0.33 ![U]: (~ssList(U)|(![V]: (~ssList(V)|(![W]: (~ssList(W)|((~rearsegP(U,V)|~rearsegP(V,W))|rearsegP(U,W)))))))),
% 0.16/0.33 inference(pre_NNF_transformation,[status(esa)],[f47])).
% 0.16/0.33 fof(f301,plain,(
% 0.16/0.33 ![X0,X1,X2]: (~ssList(X0)|~ssList(X1)|~ssList(X2)|~rearsegP(X0,X1)|~rearsegP(X1,X2)|rearsegP(X0,X2))),
% 0.16/0.33 inference(cnf_transformation,[status(esa)],[f300])).
% 0.16/0.33 fof(f302,plain,(
% 0.16/0.33 ![U]: (~ssList(U)|(![V]: (~ssList(V)|((~rearsegP(U,V)|~rearsegP(V,U))|U=V))))),
% 0.16/0.33 inference(pre_NNF_transformation,[status(esa)],[f48])).
% 0.16/0.33 fof(f303,plain,(
% 0.16/0.33 ![X0,X1]: (~ssList(X0)|~ssList(X1)|~rearsegP(X0,X1)|~rearsegP(X1,X0)|X0=X1)),
% 0.16/0.33 inference(cnf_transformation,[status(esa)],[f302])).
% 0.16/0.33 fof(f308,plain,(
% 0.16/0.33 ![U]: (~ssList(U)|rearsegP(U,nil))),
% 0.16/0.33 inference(pre_NNF_transformation,[status(esa)],[f51])).
% 0.16/0.33 fof(f309,plain,(
% 0.16/0.33 ![X0]: (~ssList(X0)|rearsegP(X0,nil))),
% 0.16/0.33 inference(cnf_transformation,[status(esa)],[f308])).
% 0.16/0.33 fof(f310,plain,(
% 0.16/0.33 ![U]: (~ssList(U)|(rearsegP(nil,U)<=>nil=U))),
% 0.16/0.33 inference(pre_NNF_transformation,[status(esa)],[f52])).
% 0.16/0.33 fof(f311,plain,(
% 0.16/0.33 ![U]: (~ssList(U)|((~rearsegP(nil,U)|nil=U)&(rearsegP(nil,U)|~nil=U)))),
% 0.16/0.33 inference(NNF_transformation,[status(esa)],[f310])).
% 0.16/0.33 fof(f312,plain,(
% 0.16/0.33 ![X0]: (~ssList(X0)|~rearsegP(nil,X0)|nil=X0)),
% 0.16/0.33 inference(cnf_transformation,[status(esa)],[f311])).
% 0.16/0.33 fof(f415,plain,(
% 0.16/0.33 (?[U]: (ssList(U)&(?[V]: (ssList(V)&(?[W]: (ssList(W)&(?[X]: (ssList(X)&(((V=X&U=W)&((nil=V&~nil=U)|(neq(V,nil)&(~neq(U,nil)|~rearsegP(V,U)))))&((nil=X&nil=W)|(neq(W,nil)&rearsegP(X,W))))))))))))),
% 0.16/0.33 inference(pre_NNF_transformation,[status(esa)],[f97])).
% 0.16/0.33 fof(f416,plain,(
% 0.16/0.33 ![U,V]: (pd0_0(V,U)=>(nil=V&~nil=U))),
% 0.16/0.33 introduced(predicate_definition,[f415])).
% 0.16/0.33 fof(f417,plain,(
% 0.16/0.33 ![W,X]: (pd0_1(X,W)=>(nil=X&nil=W))),
% 0.16/0.33 introduced(predicate_definition,[f415])).
% 0.16/0.33 fof(f418,plain,(
% 0.16/0.33 ?[U]: (ssList(U)&(?[V]: (ssList(V)&(?[W]: (ssList(W)&(?[X]: (ssList(X)&(((V=X&U=W)&(pd0_0(V,U)|(neq(V,nil)&(~neq(U,nil)|~rearsegP(V,U)))))&(pd0_1(X,W)|(neq(W,nil)&rearsegP(X,W)))))))))))),
% 0.16/0.33 inference(formula_renaming,[status(thm)],[f415,f417,f416])).
% 0.16/0.33 fof(f419,plain,(
% 0.16/0.33 (ssList(sk0_47)&(ssList(sk0_48)&(ssList(sk0_49)&(ssList(sk0_50)&(((sk0_48=sk0_50&sk0_47=sk0_49)&(pd0_0(sk0_48,sk0_47)|(neq(sk0_48,nil)&(~neq(sk0_47,nil)|~rearsegP(sk0_48,sk0_47)))))&(pd0_1(sk0_50,sk0_49)|(neq(sk0_49,nil)&rearsegP(sk0_50,sk0_49))))))))),
% 0.16/0.33 inference(skolemization,[status(esa)],[f418])).
% 0.16/0.33 fof(f420,plain,(
% 0.16/0.33 ssList(sk0_47)),
% 0.16/0.33 inference(cnf_transformation,[status(esa)],[f419])).
% 0.16/0.33 fof(f421,plain,(
% 0.16/0.33 ssList(sk0_48)),
% 0.16/0.33 inference(cnf_transformation,[status(esa)],[f419])).
% 0.16/0.33 fof(f424,plain,(
% 0.16/0.33 sk0_48=sk0_50),
% 0.16/0.33 inference(cnf_transformation,[status(esa)],[f419])).
% 0.16/0.33 fof(f425,plain,(
% 0.16/0.33 sk0_47=sk0_49),
% 0.16/0.33 inference(cnf_transformation,[status(esa)],[f419])).
% 0.16/0.33 fof(f426,plain,(
% 0.16/0.33 pd0_0(sk0_48,sk0_47)|neq(sk0_48,nil)),
% 0.16/0.33 inference(cnf_transformation,[status(esa)],[f419])).
% 0.16/0.33 fof(f427,plain,(
% 0.16/0.33 pd0_0(sk0_48,sk0_47)|~neq(sk0_47,nil)|~rearsegP(sk0_48,sk0_47)),
% 0.16/0.33 inference(cnf_transformation,[status(esa)],[f419])).
% 0.16/0.33 fof(f428,plain,(
% 0.16/0.33 pd0_1(sk0_50,sk0_49)|neq(sk0_49,nil)),
% 0.16/0.33 inference(cnf_transformation,[status(esa)],[f419])).
% 0.16/0.33 fof(f429,plain,(
% 0.16/0.33 pd0_1(sk0_50,sk0_49)|rearsegP(sk0_50,sk0_49)),
% 0.16/0.33 inference(cnf_transformation,[status(esa)],[f419])).
% 0.16/0.33 fof(f430,plain,(
% 0.16/0.33 ![U,V]: (~pd0_0(V,U)|(nil=V&~nil=U))),
% 0.16/0.33 inference(pre_NNF_transformation,[status(esa)],[f416])).
% 0.16/0.33 fof(f431,plain,(
% 0.16/0.33 ![X0,X1]: (~pd0_0(X0,X1)|nil=X0)),
% 0.16/0.33 inference(cnf_transformation,[status(esa)],[f430])).
% 0.16/0.33 fof(f432,plain,(
% 0.16/0.33 ![X0,X1]: (~pd0_0(X0,X1)|~nil=X1)),
% 0.16/0.33 inference(cnf_transformation,[status(esa)],[f430])).
% 0.16/0.33 fof(f433,plain,(
% 0.16/0.33 ![W,X]: (~pd0_1(X,W)|(nil=X&nil=W))),
% 0.16/0.33 inference(pre_NNF_transformation,[status(esa)],[f417])).
% 0.16/0.33 fof(f434,plain,(
% 0.16/0.33 ![X0,X1]: (~pd0_1(X0,X1)|nil=X0)),
% 0.16/0.33 inference(cnf_transformation,[status(esa)],[f433])).
% 0.16/0.33 fof(f435,plain,(
% 0.16/0.33 ![X0,X1]: (~pd0_1(X0,X1)|nil=X1)),
% 0.16/0.33 inference(cnf_transformation,[status(esa)],[f433])).
% 0.16/0.33 fof(f436,plain,(
% 0.16/0.33 spl0_0 <=> pd0_0(sk0_48,sk0_47)),
% 0.16/0.33 introduced(split_symbol_definition)).
% 0.16/0.33 fof(f437,plain,(
% 0.16/0.33 pd0_0(sk0_48,sk0_47)|~spl0_0),
% 0.16/0.33 inference(component_clause,[status(thm)],[f436])).
% 0.16/0.33 fof(f439,plain,(
% 0.16/0.33 spl0_1 <=> neq(sk0_48,nil)),
% 0.16/0.33 introduced(split_symbol_definition)).
% 0.16/0.33 fof(f440,plain,(
% 0.16/0.33 neq(sk0_48,nil)|~spl0_1),
% 0.16/0.33 inference(component_clause,[status(thm)],[f439])).
% 0.16/0.33 fof(f442,plain,(
% 0.16/0.33 spl0_0|spl0_1),
% 0.16/0.33 inference(split_clause,[status(thm)],[f426,f436,f439])).
% 0.16/0.33 fof(f443,plain,(
% 0.16/0.33 spl0_2 <=> neq(sk0_47,nil)),
% 0.16/0.33 introduced(split_symbol_definition)).
% 0.16/0.33 fof(f445,plain,(
% 0.16/0.33 ~neq(sk0_47,nil)|spl0_2),
% 0.16/0.33 inference(component_clause,[status(thm)],[f443])).
% 0.16/0.33 fof(f446,plain,(
% 0.16/0.33 spl0_3 <=> rearsegP(sk0_48,sk0_47)),
% 0.16/0.33 introduced(split_symbol_definition)).
% 0.16/0.33 fof(f448,plain,(
% 0.16/0.33 ~rearsegP(sk0_48,sk0_47)|spl0_3),
% 0.16/0.33 inference(component_clause,[status(thm)],[f446])).
% 0.16/0.33 fof(f449,plain,(
% 0.16/0.33 spl0_0|~spl0_2|~spl0_3),
% 0.16/0.33 inference(split_clause,[status(thm)],[f427,f436,f443,f446])).
% 0.16/0.33 fof(f450,plain,(
% 0.16/0.33 spl0_4 <=> pd0_1(sk0_50,sk0_49)),
% 0.16/0.33 introduced(split_symbol_definition)).
% 0.16/0.33 fof(f451,plain,(
% 0.16/0.33 pd0_1(sk0_50,sk0_49)|~spl0_4),
% 0.16/0.33 inference(component_clause,[status(thm)],[f450])).
% 0.16/0.33 fof(f453,plain,(
% 0.16/0.33 spl0_5 <=> neq(sk0_49,nil)),
% 0.16/0.33 introduced(split_symbol_definition)).
% 0.16/0.33 fof(f454,plain,(
% 0.16/0.33 neq(sk0_49,nil)|~spl0_5),
% 0.16/0.33 inference(component_clause,[status(thm)],[f453])).
% 0.16/0.33 fof(f456,plain,(
% 0.16/0.33 spl0_4|spl0_5),
% 0.16/0.33 inference(split_clause,[status(thm)],[f428,f450,f453])).
% 0.16/0.33 fof(f457,plain,(
% 0.16/0.33 spl0_6 <=> rearsegP(sk0_50,sk0_49)),
% 0.16/0.33 introduced(split_symbol_definition)).
% 0.16/0.33 fof(f458,plain,(
% 0.16/0.33 rearsegP(sk0_50,sk0_49)|~spl0_6),
% 0.16/0.33 inference(component_clause,[status(thm)],[f457])).
% 0.16/0.33 fof(f460,plain,(
% 0.16/0.33 spl0_4|spl0_6),
% 0.16/0.33 inference(split_clause,[status(thm)],[f429,f450,f457])).
% 0.16/0.33 fof(f476,plain,(
% 0.16/0.33 ![X1]: (~ssList(X1)|~ssList(X1)|~neq(X1,X1))),
% 0.16/0.33 inference(destructive_equality_resolution,[status(esa)],[f219])).
% 0.16/0.33 fof(f477,plain,(
% 0.16/0.33 ![X0]: (~ssList(X0)|~neq(X0,X0))),
% 0.16/0.33 inference(duplicate_literals_removal,[status(esa)],[f476])).
% 0.16/0.33 fof(f491,plain,(
% 0.16/0.33 ![X0]: (~pd0_0(X0,nil))),
% 0.16/0.33 inference(destructive_equality_resolution,[status(esa)],[f432])).
% 0.16/0.33 fof(f494,plain,(
% 0.16/0.33 pd0_1(sk0_48,sk0_49)|~spl0_4),
% 0.16/0.33 inference(forward_demodulation,[status(thm)],[f424,f451])).
% 0.16/0.33 fof(f495,plain,(
% 0.16/0.33 pd0_1(sk0_48,sk0_47)|~spl0_4),
% 0.16/0.33 inference(forward_demodulation,[status(thm)],[f425,f494])).
% 0.16/0.33 fof(f496,plain,(
% 0.16/0.33 nil=sk0_47|~spl0_4),
% 0.16/0.33 inference(resolution,[status(thm)],[f495,f435])).
% 0.16/0.33 fof(f497,plain,(
% 0.16/0.33 nil=sk0_48|~spl0_4),
% 0.16/0.33 inference(resolution,[status(thm)],[f495,f434])).
% 0.16/0.33 fof(f503,plain,(
% 0.16/0.33 pd0_0(nil,sk0_47)|~spl0_4|~spl0_0),
% 0.16/0.33 inference(forward_demodulation,[status(thm)],[f497,f437])).
% 0.16/0.33 fof(f504,plain,(
% 0.16/0.33 pd0_0(nil,nil)|~spl0_4|~spl0_0),
% 0.16/0.33 inference(forward_demodulation,[status(thm)],[f496,f503])).
% 0.16/0.33 fof(f505,plain,(
% 0.16/0.33 $false|~spl0_4|~spl0_0),
% 0.16/0.33 inference(forward_subsumption_resolution,[status(thm)],[f504,f491])).
% 0.16/0.33 fof(f506,plain,(
% 0.16/0.33 ~spl0_4|~spl0_0),
% 0.16/0.33 inference(contradiction_clause,[status(thm)],[f505])).
% 0.16/0.33 fof(f507,plain,(
% 0.16/0.33 nil=sk0_48|~spl0_0),
% 0.16/0.33 inference(resolution,[status(thm)],[f437,f431])).
% 0.16/0.33 fof(f508,plain,(
% 0.16/0.33 pd0_0(nil,sk0_47)|~spl0_0),
% 0.16/0.33 inference(backward_demodulation,[status(thm)],[f507,f437])).
% 0.16/0.33 fof(f509,plain,(
% 0.16/0.33 nil=sk0_50|~spl0_0),
% 0.16/0.33 inference(forward_demodulation,[status(thm)],[f507,f424])).
% 0.16/0.33 fof(f511,plain,(
% 0.16/0.33 rearsegP(nil,sk0_49)|~spl0_0|~spl0_6),
% 0.16/0.33 inference(backward_demodulation,[status(thm)],[f509,f458])).
% 0.16/0.33 fof(f513,plain,(
% 0.16/0.33 rearsegP(nil,sk0_47)|~spl0_0|~spl0_6),
% 0.16/0.33 inference(backward_demodulation,[status(thm)],[f425,f511])).
% 0.16/0.33 fof(f515,plain,(
% 0.16/0.33 neq(sk0_47,nil)|~spl0_5),
% 0.16/0.33 inference(backward_demodulation,[status(thm)],[f425,f454])).
% 0.16/0.33 fof(f516,plain,(
% 0.16/0.33 spl0_7 <=> ssList(sk0_47)),
% 0.16/0.33 introduced(split_symbol_definition)).
% 0.16/0.33 fof(f518,plain,(
% 0.16/0.33 ~ssList(sk0_47)|spl0_7),
% 0.16/0.33 inference(component_clause,[status(thm)],[f516])).
% 0.16/0.33 fof(f519,plain,(
% 0.16/0.33 spl0_8 <=> nil=sk0_47),
% 0.16/0.33 introduced(split_symbol_definition)).
% 0.16/0.33 fof(f520,plain,(
% 0.16/0.33 nil=sk0_47|~spl0_8),
% 0.16/0.33 inference(component_clause,[status(thm)],[f519])).
% 0.16/0.33 fof(f522,plain,(
% 0.16/0.33 ~ssList(sk0_47)|nil=sk0_47|~spl0_0|~spl0_6),
% 0.16/0.33 inference(resolution,[status(thm)],[f312,f513])).
% 0.16/0.33 fof(f523,plain,(
% 0.16/0.33 ~spl0_7|spl0_8|~spl0_0|~spl0_6),
% 0.16/0.33 inference(split_clause,[status(thm)],[f522,f516,f519,f436,f457])).
% 0.16/0.33 fof(f524,plain,(
% 0.16/0.33 spl0_9 <=> ssList(nil)),
% 0.16/0.33 introduced(split_symbol_definition)).
% 0.16/0.33 fof(f526,plain,(
% 0.16/0.33 ~ssList(nil)|spl0_9),
% 0.16/0.33 inference(component_clause,[status(thm)],[f524])).
% 0.16/0.33 fof(f527,plain,(
% 0.16/0.33 spl0_10 <=> nil=nil),
% 0.16/0.33 introduced(split_symbol_definition)).
% 0.16/0.33 fof(f530,plain,(
% 0.16/0.33 ~ssList(nil)|nil=nil|~ssList(nil)),
% 0.16/0.33 inference(resolution,[status(thm)],[f312,f309])).
% 0.16/0.33 fof(f531,plain,(
% 0.16/0.33 ~spl0_9|spl0_10),
% 0.16/0.33 inference(split_clause,[status(thm)],[f530,f524,f527])).
% 0.16/0.33 fof(f534,plain,(
% 0.16/0.33 $false|spl0_9),
% 0.16/0.33 inference(forward_subsumption_resolution,[status(thm)],[f526,f223])).
% 0.16/0.33 fof(f535,plain,(
% 0.16/0.33 spl0_9),
% 0.16/0.33 inference(contradiction_clause,[status(thm)],[f534])).
% 0.16/0.33 fof(f548,plain,(
% 0.16/0.33 neq(nil,nil)|~spl0_4|~spl0_1),
% 0.16/0.33 inference(forward_demodulation,[status(thm)],[f497,f440])).
% 0.16/0.33 fof(f549,plain,(
% 0.16/0.33 ~ssList(nil)|~spl0_4|~spl0_1),
% 0.16/0.33 inference(resolution,[status(thm)],[f548,f477])).
% 0.16/0.33 fof(f550,plain,(
% 0.16/0.33 ~spl0_9|~spl0_4|~spl0_1),
% 0.16/0.33 inference(split_clause,[status(thm)],[f549,f524,f450,f439])).
% 0.16/0.33 fof(f557,plain,(
% 0.16/0.33 $false|spl0_7),
% 0.16/0.33 inference(forward_subsumption_resolution,[status(thm)],[f420,f518])).
% 0.16/0.33 fof(f558,plain,(
% 0.16/0.33 spl0_7),
% 0.16/0.33 inference(contradiction_clause,[status(thm)],[f557])).
% 0.16/0.33 fof(f567,plain,(
% 0.16/0.33 spl0_13 <=> ~ssList(X0)|~rearsegP(nil,X0)|nil=X0|~ssList(X0)),
% 0.16/0.33 introduced(split_symbol_definition)).
% 0.16/0.33 fof(f570,plain,(
% 0.16/0.33 ![X0]: (~ssList(nil)|~ssList(X0)|~rearsegP(nil,X0)|nil=X0|~ssList(X0))),
% 0.16/0.33 inference(resolution,[status(thm)],[f303,f309])).
% 0.16/0.33 fof(f571,plain,(
% 0.16/0.33 ~spl0_9|spl0_13),
% 0.16/0.33 inference(split_clause,[status(thm)],[f570,f524,f567])).
% 0.16/0.33 fof(f584,plain,(
% 0.16/0.33 spl0_15 <=> ~ssList(X0)|~ssList(X1)|~rearsegP(X0,X1)|rearsegP(X0,nil)|~ssList(X1)),
% 0.16/0.33 introduced(split_symbol_definition)).
% 0.16/0.33 fof(f587,plain,(
% 0.16/0.33 ![X0,X1]: (~ssList(X0)|~ssList(X1)|~ssList(nil)|~rearsegP(X0,X1)|rearsegP(X0,nil)|~ssList(X1))),
% 0.16/0.33 inference(resolution,[status(thm)],[f301,f309])).
% 0.16/0.33 fof(f588,plain,(
% 0.16/0.33 spl0_15|~spl0_9),
% 0.16/0.33 inference(split_clause,[status(thm)],[f587,f584,f524])).
% 0.16/0.33 fof(f627,plain,(
% 0.16/0.33 rearsegP(sk0_48,sk0_49)|~spl0_6),
% 0.16/0.36 inference(forward_demodulation,[status(thm)],[f424,f458])).
% 0.16/0.36 fof(f628,plain,(
% 0.16/0.36 rearsegP(sk0_48,sk0_47)|~spl0_6),
% 0.16/0.36 inference(forward_demodulation,[status(thm)],[f425,f627])).
% 0.16/0.36 fof(f632,plain,(
% 0.16/0.36 spl0_17 <=> ssList(sk0_48)),
% 0.16/0.36 introduced(split_symbol_definition)).
% 0.16/0.36 fof(f634,plain,(
% 0.16/0.36 ~ssList(sk0_48)|spl0_17),
% 0.16/0.36 inference(component_clause,[status(thm)],[f632])).
% 0.16/0.36 fof(f645,plain,(
% 0.16/0.36 $false|spl0_17),
% 0.16/0.36 inference(forward_subsumption_resolution,[status(thm)],[f634,f421])).
% 0.16/0.36 fof(f646,plain,(
% 0.16/0.36 spl0_17),
% 0.16/0.36 inference(contradiction_clause,[status(thm)],[f645])).
% 0.16/0.36 fof(f647,plain,(
% 0.16/0.36 $false|~spl0_6|spl0_3),
% 0.16/0.36 inference(forward_subsumption_resolution,[status(thm)],[f448,f628])).
% 0.16/0.36 fof(f648,plain,(
% 0.16/0.36 ~spl0_6|spl0_3),
% 0.16/0.36 inference(contradiction_clause,[status(thm)],[f647])).
% 0.16/0.36 fof(f668,plain,(
% 0.16/0.36 pd0_0(nil,nil)|~spl0_8|~spl0_0),
% 0.16/0.36 inference(forward_demodulation,[status(thm)],[f520,f508])).
% 0.16/0.36 fof(f669,plain,(
% 0.16/0.36 $false|~spl0_8|~spl0_0),
% 0.16/0.36 inference(forward_subsumption_resolution,[status(thm)],[f668,f491])).
% 0.16/0.36 fof(f670,plain,(
% 0.16/0.36 ~spl0_8|~spl0_0),
% 0.16/0.36 inference(contradiction_clause,[status(thm)],[f669])).
% 0.16/0.36 fof(f688,plain,(
% 0.16/0.36 $false|~spl0_5|spl0_2),
% 0.16/0.36 inference(forward_subsumption_resolution,[status(thm)],[f445,f515])).
% 0.16/0.36 fof(f689,plain,(
% 0.16/0.36 ~spl0_5|spl0_2),
% 0.16/0.36 inference(contradiction_clause,[status(thm)],[f688])).
% 0.16/0.36 fof(f690,plain,(
% 0.16/0.36 $false),
% 0.16/0.36 inference(sat_refutation,[status(thm)],[f442,f449,f456,f460,f506,f523,f531,f535,f550,f558,f571,f588,f646,f648,f670,f689])).
% 0.16/0.36 % SZS output end CNFRefutation for theBenchmark.p
% 0.16/0.36 % Elapsed time: 0.052120 seconds
% 0.16/0.36 % CPU time: 0.034623 seconds
% 0.16/0.36 % Memory used: 4.186 MB
%------------------------------------------------------------------------------