TSTP Solution File: SWC071-1 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : SWC071-1 : TPTP v8.1.2. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n029.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 12:39:08 EDT 2023
% Result : Unsatisfiable 0.12s 0.37s
% Output : CNFRefutation 0.12s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SWC071-1 : TPTP v8.1.2. Released v2.4.0.
% 0.06/0.12 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.12/0.33 % Computer : n029.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Tue May 30 11:40:22 EDT 2023
% 0.12/0.33 % CPUTime :
% 0.12/0.35 % Drodi V3.5.1
% 0.12/0.37 % Refutation found
% 0.12/0.37 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.12/0.37 % SZS output start CNFRefutation for theBenchmark
% 0.12/0.37 fof(f8,axiom,(
% 0.12/0.37 ssList(nil) ),
% 0.12/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.37 fof(f56,axiom,(
% 0.12/0.37 (![U]: (( ~ ssList(U)| segmentP(U,nil) ) ))),
% 0.12/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.37 fof(f57,axiom,(
% 0.12/0.37 (![U]: (( ~ ssList(U)| segmentP(U,U) ) ))),
% 0.12/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.37 fof(f73,axiom,(
% 0.12/0.37 (![U]: (( ~ ssList(U)| app(U,nil) = U ) ))),
% 0.12/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.37 fof(f74,axiom,(
% 0.12/0.37 (![U]: (( ~ ssList(U)| app(nil,U) = U ) ))),
% 0.12/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.37 fof(f80,axiom,(
% 0.12/0.37 (![U]: (( ~ segmentP(nil,U)| ~ ssList(U)| nil = U ) ))),
% 0.12/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.37 fof(f85,axiom,(
% 0.12/0.37 (![U,V]: (( ~ ssList(U)| ~ ssList(V)| ssList(app(V,U)) ) ))),
% 0.12/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.37 fof(f99,axiom,(
% 0.12/0.37 (![U,V]: (( cons(U,V) != V| ~ ssItem(U)| ~ ssList(V) ) ))),
% 0.12/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.37 fof(f100,axiom,(
% 0.12/0.37 (![U,V]: (( ~ ssList(U)| ~ ssList(V)| neq(V,U)| V = U ) ))),
% 0.12/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.37 fof(f127,axiom,(
% 0.12/0.37 (![U,V]: (( ~ segmentP(U,V)| ~ segmentP(V,U)| ~ ssList(U)| ~ ssList(V)| V = U ) ))),
% 0.12/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.37 fof(f150,axiom,(
% 0.12/0.37 (![U,V,W]: (( app(U,V) != app(U,W)| ~ ssList(V)| ~ ssList(U)| ~ ssList(W)| V = W ) ))),
% 0.12/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.37 fof(f151,axiom,(
% 0.12/0.37 (![U,V,W]: (( app(U,V) != app(W,V)| ~ ssList(U)| ~ ssList(V)| ~ ssList(W)| U = W ) ))),
% 0.12/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.37 fof(f152,axiom,(
% 0.12/0.37 (![U,V,W]: (( ~ segmentP(U,V)| ~ segmentP(V,W)| ~ ssList(W)| ~ ssList(V)| ~ ssList(U)| segmentP(U,W) ) ))),
% 0.12/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.37 fof(f173,axiom,(
% 0.12/0.37 (![U,V,W,X]: (( app(app(U,V),W) != X| ~ ssList(W)| ~ ssList(U)| ~ ssList(V)| ~ ssList(X)| segmentP(X,V) ) ))),
% 0.12/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.37 fof(f186,negated_conjecture,(
% 0.12/0.37 ssList(sk1) ),
% 0.12/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.37 fof(f190,negated_conjecture,(
% 0.12/0.37 sk2 = sk4 ),
% 0.12/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.37 fof(f191,negated_conjecture,(
% 0.12/0.37 sk1 = sk3 ),
% 0.12/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.37 fof(f192,negated_conjecture,(
% 0.12/0.37 (![A]: (( ~ ssList(A)| ~ neq(A,nil)| ~ segmentP(sk2,A)| ~ segmentP(sk1,A) ) ))),
% 0.12/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.37 fof(f193,negated_conjecture,(
% 0.12/0.37 ( nil != sk2| nil != sk1 ) ),
% 0.12/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.37 fof(f194,negated_conjecture,(
% 0.12/0.37 ( ssItem(sk5)| nil = sk4 ) ),
% 0.12/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.37 fof(f198,negated_conjecture,(
% 0.12/0.37 ( cons(sk5,nil) = sk3| nil = sk4 ) ),
% 0.12/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.37 fof(f202,negated_conjecture,(
% 0.12/0.37 ( ssList(sk6)| nil = sk3 ) ),
% 0.12/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.37 fof(f203,negated_conjecture,(
% 0.12/0.37 ( ssList(sk7)| nil = sk3 ) ),
% 0.12/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.37 fof(f205,negated_conjecture,(
% 0.12/0.37 ( app(app(sk6,sk3),sk7) = sk4| nil = sk3 ) ),
% 0.12/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.37 fof(f215,plain,(
% 0.12/0.37 ssList(nil)),
% 0.12/0.37 inference(cnf_transformation,[status(esa)],[f8])).
% 0.12/0.37 fof(f263,plain,(
% 0.12/0.37 ![X0]: (~ssList(X0)|segmentP(X0,nil))),
% 0.12/0.37 inference(cnf_transformation,[status(esa)],[f56])).
% 0.12/0.37 fof(f264,plain,(
% 0.12/0.37 ![X0]: (~ssList(X0)|segmentP(X0,X0))),
% 0.12/0.37 inference(cnf_transformation,[status(esa)],[f57])).
% 0.12/0.37 fof(f281,plain,(
% 0.12/0.37 ![X0]: (~ssList(X0)|app(X0,nil)=X0)),
% 0.12/0.37 inference(cnf_transformation,[status(esa)],[f73])).
% 0.12/0.37 fof(f282,plain,(
% 0.12/0.37 ![X0]: (~ssList(X0)|app(nil,X0)=X0)),
% 0.12/0.37 inference(cnf_transformation,[status(esa)],[f74])).
% 0.12/0.37 fof(f288,plain,(
% 0.12/0.37 ![X0]: (~segmentP(nil,X0)|~ssList(X0)|nil=X0)),
% 0.12/0.37 inference(cnf_transformation,[status(esa)],[f80])).
% 0.12/0.37 fof(f293,plain,(
% 0.12/0.37 ![X0,X1]: (~ssList(X0)|~ssList(X1)|ssList(app(X1,X0)))),
% 0.12/0.37 inference(cnf_transformation,[status(esa)],[f85])).
% 0.12/0.37 fof(f308,plain,(
% 0.12/0.37 ![V]: ((![U]: (~cons(U,V)=V|~ssItem(U)))|~ssList(V))),
% 0.12/0.37 inference(miniscoping,[status(esa)],[f99])).
% 0.12/0.37 fof(f309,plain,(
% 0.12/0.37 ![X0,X1]: (~cons(X0,X1)=X1|~ssItem(X0)|~ssList(X1))),
% 0.12/0.37 inference(cnf_transformation,[status(esa)],[f308])).
% 0.12/0.37 fof(f310,plain,(
% 0.12/0.37 ![X0,X1]: (~ssList(X0)|~ssList(X1)|neq(X1,X0)|X1=X0)),
% 0.12/0.37 inference(cnf_transformation,[status(esa)],[f100])).
% 0.12/0.37 fof(f347,plain,(
% 0.12/0.37 ![X0,X1]: (~segmentP(X0,X1)|~segmentP(X1,X0)|~ssList(X0)|~ssList(X1)|X1=X0)),
% 0.12/0.37 inference(cnf_transformation,[status(esa)],[f127])).
% 0.12/0.37 fof(f377,plain,(
% 0.12/0.37 ![V,W]: (((![U]: ((~app(U,V)=app(U,W)|~ssList(V))|~ssList(U)))|~ssList(W))|V=W)),
% 0.12/0.37 inference(miniscoping,[status(esa)],[f150])).
% 0.12/0.37 fof(f378,plain,(
% 0.12/0.37 ![X0,X1,X2]: (~app(X0,X1)=app(X0,X2)|~ssList(X1)|~ssList(X0)|~ssList(X2)|X1=X2)),
% 0.12/0.37 inference(cnf_transformation,[status(esa)],[f377])).
% 0.12/0.37 fof(f379,plain,(
% 0.12/0.37 ![U,W]: (((![V]: ((~app(U,V)=app(W,V)|~ssList(U))|~ssList(V)))|~ssList(W))|U=W)),
% 0.12/0.37 inference(miniscoping,[status(esa)],[f151])).
% 0.12/0.37 fof(f380,plain,(
% 0.12/0.37 ![X0,X1,X2]: (~app(X0,X1)=app(X2,X1)|~ssList(X0)|~ssList(X1)|~ssList(X2)|X0=X2)),
% 0.12/0.37 inference(cnf_transformation,[status(esa)],[f379])).
% 0.12/0.37 fof(f381,plain,(
% 0.12/0.37 ![U,W]: (((![V]: (((~segmentP(U,V)|~segmentP(V,W))|~ssList(W))|~ssList(V)))|~ssList(U))|segmentP(U,W))),
% 0.12/0.37 inference(miniscoping,[status(esa)],[f152])).
% 0.12/0.37 fof(f382,plain,(
% 0.12/0.37 ![X0,X1,X2]: (~segmentP(X0,X1)|~segmentP(X1,X2)|~ssList(X2)|~ssList(X1)|~ssList(X0)|segmentP(X0,X2))),
% 0.12/0.37 inference(cnf_transformation,[status(esa)],[f381])).
% 0.12/0.37 fof(f413,plain,(
% 0.12/0.37 ![V,X]: ((((![U]: ((![W]: (~app(app(U,V),W)=X|~ssList(W)))|~ssList(U)))|~ssList(V))|~ssList(X))|segmentP(X,V))),
% 0.12/0.37 inference(miniscoping,[status(esa)],[f173])).
% 0.12/0.37 fof(f414,plain,(
% 0.12/0.37 ![X0,X1,X2,X3]: (~app(app(X0,X1),X2)=X3|~ssList(X2)|~ssList(X0)|~ssList(X1)|~ssList(X3)|segmentP(X3,X1))),
% 0.12/0.37 inference(cnf_transformation,[status(esa)],[f413])).
% 0.12/0.37 fof(f438,plain,(
% 0.12/0.37 ssList(sk1)),
% 0.12/0.37 inference(cnf_transformation,[status(esa)],[f186])).
% 0.12/0.37 fof(f442,plain,(
% 0.12/0.37 sk2=sk4),
% 0.12/0.37 inference(cnf_transformation,[status(esa)],[f190])).
% 0.12/0.37 fof(f443,plain,(
% 0.12/0.37 sk1=sk3),
% 0.12/0.37 inference(cnf_transformation,[status(esa)],[f191])).
% 0.12/0.37 fof(f444,plain,(
% 0.12/0.37 ![X0]: (~ssList(X0)|~neq(X0,nil)|~segmentP(sk2,X0)|~segmentP(sk1,X0))),
% 0.12/0.37 inference(cnf_transformation,[status(esa)],[f192])).
% 0.12/0.37 fof(f445,plain,(
% 0.12/0.37 ~nil=sk2|~nil=sk1),
% 0.12/0.37 inference(cnf_transformation,[status(esa)],[f193])).
% 0.12/0.37 fof(f446,plain,(
% 0.12/0.37 ssItem(sk5)|nil=sk4),
% 0.12/0.37 inference(cnf_transformation,[status(esa)],[f194])).
% 0.12/0.37 fof(f450,plain,(
% 0.12/0.37 cons(sk5,nil)=sk3|nil=sk4),
% 0.12/0.37 inference(cnf_transformation,[status(esa)],[f198])).
% 0.12/0.37 fof(f456,plain,(
% 0.12/0.37 ssList(sk6)|nil=sk3),
% 0.12/0.37 inference(cnf_transformation,[status(esa)],[f202])).
% 0.12/0.37 fof(f457,plain,(
% 0.12/0.37 ssList(sk7)|nil=sk3),
% 0.12/0.37 inference(cnf_transformation,[status(esa)],[f203])).
% 0.12/0.37 fof(f459,plain,(
% 0.12/0.37 app(app(sk6,sk3),sk7)=sk4|nil=sk3),
% 0.12/0.37 inference(cnf_transformation,[status(esa)],[f205])).
% 0.12/0.37 fof(f471,plain,(
% 0.12/0.37 spl0_2 <=> nil=sk2),
% 0.12/0.37 introduced(split_symbol_definition)).
% 0.12/0.37 fof(f473,plain,(
% 0.12/0.37 ~nil=sk2|spl0_2),
% 0.12/0.37 inference(component_clause,[status(thm)],[f471])).
% 0.12/0.37 fof(f474,plain,(
% 0.12/0.37 spl0_3 <=> nil=sk1),
% 0.12/0.37 introduced(split_symbol_definition)).
% 0.12/0.37 fof(f476,plain,(
% 0.12/0.37 ~nil=sk1|spl0_3),
% 0.12/0.37 inference(component_clause,[status(thm)],[f474])).
% 0.12/0.37 fof(f477,plain,(
% 0.12/0.37 ~spl0_2|~spl0_3),
% 0.12/0.37 inference(split_clause,[status(thm)],[f445,f471,f474])).
% 0.12/0.37 fof(f478,plain,(
% 0.12/0.37 spl0_4 <=> ssItem(sk5)),
% 0.12/0.37 introduced(split_symbol_definition)).
% 0.12/0.37 fof(f481,plain,(
% 0.12/0.37 spl0_5 <=> nil=sk4),
% 0.12/0.37 introduced(split_symbol_definition)).
% 0.12/0.37 fof(f482,plain,(
% 0.12/0.37 nil=sk4|~spl0_5),
% 0.12/0.37 inference(component_clause,[status(thm)],[f481])).
% 0.12/0.37 fof(f484,plain,(
% 0.12/0.37 spl0_4|spl0_5),
% 0.12/0.37 inference(split_clause,[status(thm)],[f446,f478,f481])).
% 0.12/0.37 fof(f485,plain,(
% 0.12/0.37 spl0_6 <=> nil=sk3),
% 0.12/0.37 introduced(split_symbol_definition)).
% 0.12/0.37 fof(f486,plain,(
% 0.12/0.37 nil=sk3|~spl0_6),
% 0.12/0.37 inference(component_clause,[status(thm)],[f485])).
% 0.12/0.37 fof(f489,plain,(
% 0.12/0.37 spl0_7 <=> ssList(sk6)),
% 0.12/0.37 introduced(split_symbol_definition)).
% 0.12/0.37 fof(f493,plain,(
% 0.12/0.37 spl0_8 <=> ssList(sk7)),
% 0.12/0.37 introduced(split_symbol_definition)).
% 0.12/0.37 fof(f497,plain,(
% 0.12/0.37 spl0_9 <=> cons(sk5,nil)=sk3),
% 0.12/0.37 introduced(split_symbol_definition)).
% 0.12/0.37 fof(f498,plain,(
% 0.12/0.37 cons(sk5,nil)=sk3|~spl0_9),
% 0.12/0.37 inference(component_clause,[status(thm)],[f497])).
% 0.12/0.37 fof(f500,plain,(
% 0.12/0.37 spl0_9|spl0_5),
% 0.12/0.37 inference(split_clause,[status(thm)],[f450,f497,f481])).
% 0.12/0.37 fof(f501,plain,(
% 0.12/0.37 spl0_10 <=> app(app(sk6,sk3),sk7)=sk4),
% 0.12/0.37 introduced(split_symbol_definition)).
% 0.12/0.37 fof(f502,plain,(
% 0.12/0.37 app(app(sk6,sk3),sk7)=sk4|~spl0_10),
% 0.12/0.37 inference(component_clause,[status(thm)],[f501])).
% 0.12/0.37 fof(f513,plain,(
% 0.12/0.37 spl0_7|spl0_6),
% 0.12/0.37 inference(split_clause,[status(thm)],[f456,f489,f485])).
% 0.12/0.37 fof(f514,plain,(
% 0.12/0.37 spl0_8|spl0_6),
% 0.12/0.37 inference(split_clause,[status(thm)],[f457,f493,f485])).
% 0.12/0.37 fof(f516,plain,(
% 0.12/0.37 spl0_10|spl0_6),
% 0.12/0.37 inference(split_clause,[status(thm)],[f459,f501,f485])).
% 0.12/0.37 fof(f537,plain,(
% 0.12/0.37 ![X0,X1,X2]: (~ssList(X0)|~ssList(X1)|~ssList(X2)|~ssList(app(app(X1,X2),X0))|segmentP(app(app(X1,X2),X0),X2))),
% 0.12/0.37 inference(destructive_equality_resolution,[status(esa)],[f414])).
% 0.12/0.37 fof(f550,plain,(
% 0.12/0.37 spl0_13 <=> ssList(nil)),
% 0.12/0.37 introduced(split_symbol_definition)).
% 0.12/0.37 fof(f552,plain,(
% 0.12/0.37 ~ssList(nil)|spl0_13),
% 0.12/0.37 inference(component_clause,[status(thm)],[f550])).
% 0.12/0.37 fof(f553,plain,(
% 0.12/0.37 spl0_14 <=> nil=nil),
% 0.12/0.37 introduced(split_symbol_definition)).
% 0.12/0.37 fof(f556,plain,(
% 0.12/0.37 ~ssList(nil)|nil=nil|~ssList(nil)),
% 0.12/0.37 inference(resolution,[status(thm)],[f288,f263])).
% 0.12/0.37 fof(f557,plain,(
% 0.12/0.37 ~spl0_13|spl0_14),
% 0.12/0.37 inference(split_clause,[status(thm)],[f556,f550,f553])).
% 0.12/0.37 fof(f560,plain,(
% 0.12/0.37 $false|spl0_13),
% 0.12/0.37 inference(forward_subsumption_resolution,[status(thm)],[f552,f215])).
% 0.12/0.37 fof(f561,plain,(
% 0.12/0.37 spl0_13),
% 0.12/0.37 inference(contradiction_clause,[status(thm)],[f560])).
% 0.12/0.37 fof(f562,plain,(
% 0.12/0.37 nil=sk1|~spl0_6),
% 0.12/0.37 inference(forward_demodulation,[status(thm)],[f443,f486])).
% 0.12/0.37 fof(f565,plain,(
% 0.12/0.37 nil=sk2|~spl0_5),
% 0.12/0.37 inference(forward_demodulation,[status(thm)],[f442,f482])).
% 0.12/0.37 fof(f566,plain,(
% 0.12/0.37 $false|spl0_2|~spl0_5),
% 0.12/0.37 inference(forward_subsumption_resolution,[status(thm)],[f565,f473])).
% 0.12/0.37 fof(f567,plain,(
% 0.12/0.37 spl0_2|~spl0_5),
% 0.12/0.37 inference(contradiction_clause,[status(thm)],[f566])).
% 0.12/0.37 fof(f568,plain,(
% 0.12/0.37 app(app(sk6,sk3),sk7)=sk2|~spl0_10),
% 0.12/0.37 inference(forward_demodulation,[status(thm)],[f442,f502])).
% 0.12/0.37 fof(f578,plain,(
% 0.12/0.37 app(app(sk6,sk1),sk7)=sk2|~spl0_10),
% 0.12/0.37 inference(backward_demodulation,[status(thm)],[f443,f568])).
% 0.12/0.37 fof(f579,plain,(
% 0.12/0.37 cons(sk5,nil)=sk1|~spl0_9),
% 0.12/0.37 inference(backward_demodulation,[status(thm)],[f443,f498])).
% 0.12/0.37 fof(f581,plain,(
% 0.12/0.37 ~sk1=nil|~ssItem(sk5)|~ssList(nil)|~spl0_9),
% 0.12/0.37 inference(paramodulation,[status(thm)],[f579,f309])).
% 0.12/0.37 fof(f582,plain,(
% 0.12/0.37 ~spl0_3|~spl0_4|~spl0_13|~spl0_9),
% 0.12/0.37 inference(split_clause,[status(thm)],[f581,f474,f478,f550,f497])).
% 0.12/0.37 fof(f583,plain,(
% 0.12/0.37 $false|spl0_3|~spl0_6),
% 0.12/0.37 inference(forward_subsumption_resolution,[status(thm)],[f562,f476])).
% 0.12/0.37 fof(f584,plain,(
% 0.12/0.37 spl0_3|~spl0_6),
% 0.12/0.37 inference(contradiction_clause,[status(thm)],[f583])).
% 0.12/0.37 fof(f588,plain,(
% 0.12/0.37 spl0_15 <=> ssList(app(sk6,sk1))),
% 0.12/0.37 introduced(split_symbol_definition)).
% 0.12/0.37 fof(f590,plain,(
% 0.12/0.37 ~ssList(app(sk6,sk1))|spl0_15),
% 0.12/0.37 inference(component_clause,[status(thm)],[f588])).
% 0.12/0.37 fof(f591,plain,(
% 0.12/0.37 spl0_16 <=> ssList(sk2)),
% 0.12/0.37 introduced(split_symbol_definition)).
% 0.12/0.37 fof(f592,plain,(
% 0.12/0.37 ssList(sk2)|~spl0_16),
% 0.12/0.37 inference(component_clause,[status(thm)],[f591])).
% 0.12/0.37 fof(f594,plain,(
% 0.12/0.37 ~ssList(sk7)|~ssList(app(sk6,sk1))|ssList(sk2)|~spl0_10),
% 0.12/0.37 inference(paramodulation,[status(thm)],[f578,f293])).
% 0.12/0.37 fof(f595,plain,(
% 0.12/0.37 ~spl0_8|~spl0_15|spl0_16|~spl0_10),
% 0.12/0.37 inference(split_clause,[status(thm)],[f594,f493,f588,f591,f501])).
% 0.12/0.37 fof(f597,plain,(
% 0.12/0.37 spl0_17 <=> ~ssList(X0)|X0=nil|~ssList(X0)|~segmentP(sk2,X0)|~segmentP(sk1,X0)),
% 0.12/0.37 introduced(split_symbol_definition)).
% 0.12/0.37 fof(f598,plain,(
% 0.12/0.37 ![X0]: (~ssList(X0)|X0=nil|~ssList(X0)|~segmentP(sk2,X0)|~segmentP(sk1,X0)|~spl0_17)),
% 0.12/0.37 inference(component_clause,[status(thm)],[f597])).
% 0.12/0.37 fof(f600,plain,(
% 0.12/0.37 ![X0]: (~ssList(nil)|~ssList(X0)|X0=nil|~ssList(X0)|~segmentP(sk2,X0)|~segmentP(sk1,X0))),
% 0.12/0.37 inference(resolution,[status(thm)],[f310,f444])).
% 0.12/0.37 fof(f601,plain,(
% 0.12/0.37 ~spl0_13|spl0_17),
% 0.12/0.37 inference(split_clause,[status(thm)],[f600,f550,f597])).
% 0.12/0.37 fof(f602,plain,(
% 0.12/0.37 ![X0]: (~ssList(X0)|X0=nil|~segmentP(sk2,X0)|~segmentP(sk1,X0)|~spl0_17)),
% 0.12/0.37 inference(duplicate_literals_removal,[status(esa)],[f598])).
% 0.12/0.37 fof(f629,plain,(
% 0.12/0.37 spl0_22 <=> ~segmentP(nil,X0)|~ssList(X0)|X0=nil|~ssList(X0)),
% 0.12/0.37 introduced(split_symbol_definition)).
% 0.12/0.37 fof(f632,plain,(
% 0.12/0.37 ![X0]: (~segmentP(nil,X0)|~ssList(nil)|~ssList(X0)|X0=nil|~ssList(X0))),
% 0.12/0.37 inference(resolution,[status(thm)],[f347,f263])).
% 0.12/0.37 fof(f633,plain,(
% 0.12/0.37 spl0_22|~spl0_13),
% 0.12/0.37 inference(split_clause,[status(thm)],[f632,f629,f550])).
% 0.12/0.37 fof(f635,plain,(
% 0.12/0.37 spl0_23 <=> ~ssList(app(nil,X0))|~ssList(X0)|app(nil,X0)=X0|~ssList(app(nil,X0))),
% 0.12/0.37 introduced(split_symbol_definition)).
% 0.12/0.37 fof(f638,plain,(
% 0.12/0.37 ![X0]: (~ssList(app(nil,X0))|~ssList(nil)|~ssList(X0)|app(nil,X0)=X0|~ssList(app(nil,X0)))),
% 0.12/0.37 inference(resolution,[status(thm)],[f378,f282])).
% 0.12/0.37 fof(f639,plain,(
% 0.12/0.37 spl0_23|~spl0_13),
% 0.12/0.37 inference(split_clause,[status(thm)],[f638,f635,f550])).
% 0.12/0.37 fof(f658,plain,(
% 0.12/0.37 spl0_27 <=> ~ssList(app(X0,nil))|~ssList(X0)|app(X0,nil)=X0|~ssList(app(X0,nil))),
% 0.12/0.37 introduced(split_symbol_definition)).
% 0.12/0.37 fof(f661,plain,(
% 0.12/0.37 ![X0]: (~ssList(app(X0,nil))|~ssList(nil)|~ssList(X0)|app(X0,nil)=X0|~ssList(app(X0,nil)))),
% 0.12/0.37 inference(resolution,[status(thm)],[f380,f281])).
% 0.12/0.37 fof(f662,plain,(
% 0.12/0.37 spl0_27|~spl0_13),
% 0.12/0.37 inference(split_clause,[status(thm)],[f661,f658,f550])).
% 0.12/0.37 fof(f685,plain,(
% 0.12/0.37 spl0_31 <=> ssList(sk1)),
% 0.12/0.37 introduced(split_symbol_definition)).
% 0.12/0.37 fof(f687,plain,(
% 0.12/0.37 ~ssList(sk1)|spl0_31),
% 0.12/0.37 inference(component_clause,[status(thm)],[f685])).
% 0.12/0.37 fof(f698,plain,(
% 0.12/0.37 $false|spl0_31),
% 0.12/0.37 inference(forward_subsumption_resolution,[status(thm)],[f687,f438])).
% 0.12/0.37 fof(f699,plain,(
% 0.12/0.37 spl0_31),
% 0.12/0.37 inference(contradiction_clause,[status(thm)],[f698])).
% 0.12/0.37 fof(f737,plain,(
% 0.12/0.37 ~ssList(sk1)|~ssList(sk6)|spl0_15),
% 0.12/0.37 inference(resolution,[status(thm)],[f590,f293])).
% 0.12/0.37 fof(f738,plain,(
% 0.12/0.37 ~spl0_31|~spl0_7|spl0_15),
% 0.12/0.37 inference(split_clause,[status(thm)],[f737,f685,f489,f588])).
% 0.12/0.37 fof(f821,plain,(
% 0.12/0.37 spl0_40 <=> ~segmentP(X0,X1)|~ssList(X1)|~ssList(X0)|segmentP(X0,nil)|~ssList(X1)),
% 0.12/0.37 introduced(split_symbol_definition)).
% 0.12/0.37 fof(f824,plain,(
% 0.12/0.37 ![X0,X1]: (~segmentP(X0,X1)|~ssList(nil)|~ssList(X1)|~ssList(X0)|segmentP(X0,nil)|~ssList(X1))),
% 0.12/0.37 inference(resolution,[status(thm)],[f382,f263])).
% 0.12/0.37 fof(f825,plain,(
% 0.12/0.37 spl0_40|~spl0_13),
% 0.12/0.37 inference(split_clause,[status(thm)],[f824,f821,f550])).
% 0.12/0.37 fof(f1061,plain,(
% 0.12/0.37 spl0_69 <=> ssList(app(app(sk6,sk1),sk7))),
% 0.12/0.37 introduced(split_symbol_definition)).
% 0.12/0.37 fof(f1063,plain,(
% 0.12/0.37 ~ssList(app(app(sk6,sk1),sk7))|spl0_69),
% 0.12/0.37 inference(component_clause,[status(thm)],[f1061])).
% 0.12/0.37 fof(f1064,plain,(
% 0.12/0.37 spl0_70 <=> segmentP(sk2,sk1)),
% 0.12/0.37 introduced(split_symbol_definition)).
% 0.12/0.37 fof(f1065,plain,(
% 0.12/0.37 segmentP(sk2,sk1)|~spl0_70),
% 0.12/0.37 inference(component_clause,[status(thm)],[f1064])).
% 0.12/0.37 fof(f1067,plain,(
% 0.12/0.37 ~ssList(sk7)|~ssList(sk6)|~ssList(sk1)|~ssList(app(app(sk6,sk1),sk7))|segmentP(sk2,sk1)|~spl0_10),
% 0.12/0.37 inference(paramodulation,[status(thm)],[f578,f537])).
% 0.12/0.37 fof(f1068,plain,(
% 0.12/0.37 ~spl0_8|~spl0_7|~spl0_31|~spl0_69|spl0_70|~spl0_10),
% 0.12/0.37 inference(split_clause,[status(thm)],[f1067,f493,f489,f685,f1061,f1064,f501])).
% 0.12/0.37 fof(f1079,plain,(
% 0.12/0.37 ~ssList(sk2)|~spl0_10|spl0_69),
% 0.12/0.37 inference(forward_demodulation,[status(thm)],[f578,f1063])).
% 0.12/0.37 fof(f1080,plain,(
% 0.12/0.37 $false|~spl0_16|~spl0_10|spl0_69),
% 0.12/0.37 inference(forward_subsumption_resolution,[status(thm)],[f1079,f592])).
% 0.12/0.37 fof(f1081,plain,(
% 0.12/0.37 ~spl0_16|~spl0_10|spl0_69),
% 0.12/0.37 inference(contradiction_clause,[status(thm)],[f1080])).
% 0.12/0.37 fof(f1120,plain,(
% 0.12/0.37 spl0_78 <=> segmentP(sk1,sk1)),
% 0.12/0.37 introduced(split_symbol_definition)).
% 0.12/0.37 fof(f1122,plain,(
% 0.12/0.37 ~segmentP(sk1,sk1)|spl0_78),
% 0.12/0.37 inference(component_clause,[status(thm)],[f1120])).
% 0.12/0.37 fof(f1123,plain,(
% 0.12/0.37 ~ssList(sk1)|sk1=nil|~segmentP(sk1,sk1)|~spl0_70|~spl0_17),
% 0.12/0.37 inference(resolution,[status(thm)],[f1065,f602])).
% 0.12/0.37 fof(f1124,plain,(
% 0.12/0.37 ~spl0_31|spl0_3|~spl0_78|~spl0_70|~spl0_17),
% 0.12/0.37 inference(split_clause,[status(thm)],[f1123,f685,f474,f1120,f1064,f597])).
% 0.12/0.37 fof(f1135,plain,(
% 0.12/0.37 ~ssList(sk1)|spl0_78),
% 0.12/0.37 inference(resolution,[status(thm)],[f1122,f264])).
% 0.12/0.37 fof(f1136,plain,(
% 0.12/0.37 ~spl0_31|spl0_78),
% 0.12/0.37 inference(split_clause,[status(thm)],[f1135,f685,f1120])).
% 0.12/0.37 fof(f1137,plain,(
% 0.12/0.37 $false),
% 0.12/0.37 inference(sat_refutation,[status(thm)],[f477,f484,f500,f513,f514,f516,f557,f561,f567,f582,f584,f595,f601,f633,f639,f662,f699,f738,f825,f1068,f1081,f1124,f1136])).
% 0.12/0.38 % SZS output end CNFRefutation for theBenchmark.p
% 0.12/0.38 % Elapsed time: 0.043011 seconds
% 0.12/0.38 % CPU time: 0.149656 seconds
% 0.12/0.38 % Memory used: 20.885 MB
%------------------------------------------------------------------------------