TSTP Solution File: SWC083-1 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : SWC083-1 : TPTP v8.1.2. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n002.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Apr 30 20:44:27 EDT 2024
% Result : Unsatisfiable 6.53s 1.21s
% Output : CNFRefutation 6.72s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWC083-1 : TPTP v8.1.2. Released v2.4.0.
% 0.07/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34 % Computer : n002.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue Apr 30 00:18:24 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.13/0.36 % Drodi V3.6.0
% 6.53/1.21 % Refutation found
% 6.53/1.21 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 6.53/1.21 % SZS output start CNFRefutation for theBenchmark
% 6.53/1.21 fof(f8,axiom,(
% 6.53/1.21 ssList(nil) ),
% 6.53/1.21 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 6.53/1.21 fof(f57,axiom,(
% 6.53/1.21 (![U]: (( ~ ssList(U)| segmentP(U,U) ) ))),
% 6.53/1.21 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 6.53/1.21 fof(f73,axiom,(
% 6.53/1.21 (![U]: (( ~ ssList(U)| app(U,nil) = U ) ))),
% 6.53/1.21 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 6.53/1.21 fof(f74,axiom,(
% 6.53/1.21 (![U]: (( ~ ssList(U)| app(nil,U) = U ) ))),
% 6.53/1.21 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 6.53/1.21 fof(f85,axiom,(
% 6.53/1.21 (![U,V]: (( ~ ssList(U)| ~ ssList(V)| ssList(app(V,U)) ) ))),
% 6.53/1.21 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 6.53/1.21 fof(f100,axiom,(
% 6.53/1.21 (![U,V]: (( ~ ssList(U)| ~ ssList(V)| neq(V,U)| V = U ) ))),
% 6.53/1.21 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 6.53/1.21 fof(f173,axiom,(
% 6.53/1.21 (![U,V,W,X]: (( app(app(U,V),W) != X| ~ ssList(W)| ~ ssList(U)| ~ ssList(V)| ~ ssList(X)| segmentP(X,V) ) ))),
% 6.53/1.21 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 6.53/1.21 fof(f186,negated_conjecture,(
% 6.53/1.21 ssList(sk1) ),
% 6.53/1.21 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 6.53/1.21 fof(f187,negated_conjecture,(
% 6.53/1.21 ssList(sk2) ),
% 6.53/1.21 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 6.53/1.21 fof(f190,negated_conjecture,(
% 6.53/1.21 sk2 = sk4 ),
% 6.53/1.21 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 6.53/1.21 fof(f191,negated_conjecture,(
% 6.53/1.21 sk1 = sk3 ),
% 6.53/1.21 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 6.53/1.21 fof(f192,negated_conjecture,(
% 6.53/1.21 neq(sk2,nil) ),
% 6.53/1.21 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 6.53/1.21 fof(f193,negated_conjecture,(
% 6.53/1.21 (![A]: (( ~ ssList(A)| ~ neq(A,nil)| ~ segmentP(sk2,A)| ~ segmentP(sk1,A) ) ))),
% 6.53/1.21 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 6.53/1.21 fof(f194,negated_conjecture,(
% 6.53/1.21 ssList(sk5) ),
% 6.53/1.21 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 6.53/1.21 fof(f195,negated_conjecture,(
% 6.53/1.21 ssList(sk6) ),
% 6.53/1.21 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 6.53/1.21 fof(f196,negated_conjecture,(
% 6.53/1.21 ssList(sk7) ),
% 6.53/1.21 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 6.53/1.21 fof(f197,negated_conjecture,(
% 6.53/1.21 app(app(sk5,sk6),sk7) = sk3 ),
% 6.53/1.21 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 6.53/1.21 fof(f198,negated_conjecture,(
% 6.53/1.21 app(sk5,sk7) = sk4 ),
% 6.53/1.21 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 6.53/1.21 fof(f206,plain,(
% 6.53/1.21 ssList(nil)),
% 6.53/1.21 inference(cnf_transformation,[status(esa)],[f8])).
% 6.53/1.21 fof(f255,plain,(
% 6.53/1.21 ![X0]: (~ssList(X0)|segmentP(X0,X0))),
% 6.53/1.21 inference(cnf_transformation,[status(esa)],[f57])).
% 6.53/1.21 fof(f272,plain,(
% 6.53/1.21 ![X0]: (~ssList(X0)|app(X0,nil)=X0)),
% 6.53/1.21 inference(cnf_transformation,[status(esa)],[f73])).
% 6.53/1.21 fof(f273,plain,(
% 6.53/1.21 ![X0]: (~ssList(X0)|app(nil,X0)=X0)),
% 6.53/1.21 inference(cnf_transformation,[status(esa)],[f74])).
% 6.53/1.21 fof(f284,plain,(
% 6.53/1.21 ![X0,X1]: (~ssList(X0)|~ssList(X1)|ssList(app(X1,X0)))),
% 6.53/1.21 inference(cnf_transformation,[status(esa)],[f85])).
% 6.53/1.21 fof(f301,plain,(
% 6.53/1.21 ![X0,X1]: (~ssList(X0)|~ssList(X1)|neq(X1,X0)|X1=X0)),
% 6.53/1.21 inference(cnf_transformation,[status(esa)],[f100])).
% 6.53/1.21 fof(f404,plain,(
% 6.53/1.21 ![V,X]: ((((![U]: ((![W]: (~app(app(U,V),W)=X|~ssList(W)))|~ssList(U)))|~ssList(V))|~ssList(X))|segmentP(X,V))),
% 6.53/1.21 inference(miniscoping,[status(esa)],[f173])).
% 6.53/1.21 fof(f405,plain,(
% 6.53/1.21 ![X0,X1,X2,X3]: (~app(app(X0,X1),X2)=X3|~ssList(X2)|~ssList(X0)|~ssList(X1)|~ssList(X3)|segmentP(X3,X1))),
% 6.53/1.21 inference(cnf_transformation,[status(esa)],[f404])).
% 6.53/1.21 fof(f429,plain,(
% 6.53/1.21 ssList(sk1)),
% 6.53/1.21 inference(cnf_transformation,[status(esa)],[f186])).
% 6.53/1.21 fof(f430,plain,(
% 6.53/1.21 ssList(sk2)),
% 6.53/1.21 inference(cnf_transformation,[status(esa)],[f187])).
% 6.53/1.21 fof(f433,plain,(
% 6.53/1.21 sk2=sk4),
% 6.53/1.21 inference(cnf_transformation,[status(esa)],[f190])).
% 6.53/1.21 fof(f434,plain,(
% 6.53/1.21 sk1=sk3),
% 6.53/1.21 inference(cnf_transformation,[status(esa)],[f191])).
% 6.53/1.21 fof(f435,plain,(
% 6.53/1.21 neq(sk2,nil)),
% 6.53/1.21 inference(cnf_transformation,[status(esa)],[f192])).
% 6.53/1.21 fof(f436,plain,(
% 6.53/1.21 ![X0]: (~ssList(X0)|~neq(X0,nil)|~segmentP(sk2,X0)|~segmentP(sk1,X0))),
% 6.53/1.21 inference(cnf_transformation,[status(esa)],[f193])).
% 6.53/1.21 fof(f437,plain,(
% 6.53/1.21 ssList(sk5)),
% 6.53/1.21 inference(cnf_transformation,[status(esa)],[f194])).
% 6.53/1.21 fof(f438,plain,(
% 6.53/1.21 ssList(sk6)),
% 6.53/1.21 inference(cnf_transformation,[status(esa)],[f195])).
% 6.53/1.21 fof(f439,plain,(
% 6.53/1.21 ssList(sk7)),
% 6.53/1.21 inference(cnf_transformation,[status(esa)],[f196])).
% 6.53/1.21 fof(f440,plain,(
% 6.53/1.21 app(app(sk5,sk6),sk7)=sk3),
% 6.53/1.21 inference(cnf_transformation,[status(esa)],[f197])).
% 6.53/1.21 fof(f441,plain,(
% 6.53/1.21 app(sk5,sk7)=sk4),
% 6.53/1.21 inference(cnf_transformation,[status(esa)],[f198])).
% 6.53/1.21 fof(f469,plain,(
% 6.53/1.21 ![X0,X1,X2]: (~ssList(X0)|~ssList(X1)|~ssList(X2)|~ssList(app(app(X1,X2),X0))|segmentP(app(app(X1,X2),X0),X2))),
% 6.53/1.21 inference(destructive_equality_resolution,[status(esa)],[f405])).
% 6.53/1.21 fof(f480,plain,(
% 6.53/1.21 app(app(sk5,sk6),sk7)=sk1),
% 6.53/1.21 inference(forward_demodulation,[status(thm)],[f434,f440])).
% 6.53/1.21 fof(f481,plain,(
% 6.53/1.21 app(sk5,sk7)=sk2),
% 6.53/1.21 inference(forward_demodulation,[status(thm)],[f433,f441])).
% 6.53/1.21 fof(f485,plain,(
% 6.53/1.21 spl0_2 <=> ssList(sk2)),
% 6.53/1.21 introduced(split_symbol_definition)).
% 6.53/1.21 fof(f487,plain,(
% 6.53/1.21 ~ssList(sk2)|spl0_2),
% 6.53/1.21 inference(component_clause,[status(thm)],[f485])).
% 6.53/1.21 fof(f491,plain,(
% 6.53/1.21 spl0_4 <=> segmentP(sk1,sk2)),
% 6.53/1.21 introduced(split_symbol_definition)).
% 6.53/1.21 fof(f496,plain,(
% 6.53/1.21 segmentP(sk2,sk2)),
% 6.53/1.21 inference(resolution,[status(thm)],[f255,f430])).
% 6.53/1.21 fof(f498,plain,(
% 6.53/1.21 spl0_5 <=> neq(sk2,nil)),
% 6.53/1.21 introduced(split_symbol_definition)).
% 6.53/1.21 fof(f500,plain,(
% 6.53/1.21 ~neq(sk2,nil)|spl0_5),
% 6.53/1.21 inference(component_clause,[status(thm)],[f498])).
% 6.53/1.21 fof(f501,plain,(
% 6.53/1.21 ~ssList(sk2)|~neq(sk2,nil)|~segmentP(sk1,sk2)),
% 6.53/1.21 inference(resolution,[status(thm)],[f496,f436])).
% 6.53/1.21 fof(f502,plain,(
% 6.53/1.21 ~spl0_2|~spl0_5|~spl0_4),
% 6.53/1.21 inference(split_clause,[status(thm)],[f501,f485,f498,f491])).
% 6.53/1.21 fof(f503,plain,(
% 6.53/1.21 $false|spl0_5),
% 6.53/1.21 inference(forward_subsumption_resolution,[status(thm)],[f500,f435])).
% 6.53/1.21 fof(f504,plain,(
% 6.53/1.21 spl0_5),
% 6.53/1.21 inference(contradiction_clause,[status(thm)],[f503])).
% 6.53/1.21 fof(f505,plain,(
% 6.53/1.21 $false|spl0_2),
% 6.53/1.21 inference(forward_subsumption_resolution,[status(thm)],[f487,f430])).
% 6.53/1.21 fof(f506,plain,(
% 6.53/1.21 spl0_2),
% 6.53/1.21 inference(contradiction_clause,[status(thm)],[f505])).
% 6.53/1.21 fof(f520,plain,(
% 6.53/1.21 spl0_9 <=> ssList(nil)),
% 6.53/1.21 introduced(split_symbol_definition)).
% 6.53/1.21 fof(f522,plain,(
% 6.53/1.21 ~ssList(nil)|spl0_9),
% 6.53/1.21 inference(component_clause,[status(thm)],[f520])).
% 6.53/1.21 fof(f536,plain,(
% 6.53/1.21 app(sk2,nil)=sk2),
% 6.53/1.21 inference(resolution,[status(thm)],[f272,f430])).
% 6.53/1.21 fof(f537,plain,(
% 6.53/1.21 app(sk1,nil)=sk1),
% 6.53/1.21 inference(resolution,[status(thm)],[f272,f429])).
% 6.53/1.21 fof(f542,plain,(
% 6.53/1.21 app(nil,sk2)=sk2),
% 6.53/1.21 inference(resolution,[status(thm)],[f273,f430])).
% 6.53/1.21 fof(f595,plain,(
% 6.53/1.21 $false|spl0_9),
% 6.53/1.21 inference(forward_subsumption_resolution,[status(thm)],[f522,f206])).
% 6.53/1.21 fof(f596,plain,(
% 6.53/1.21 spl0_9),
% 6.53/1.21 inference(contradiction_clause,[status(thm)],[f595])).
% 6.53/1.21 fof(f616,plain,(
% 6.53/1.21 app(sk5,nil)=sk5),
% 6.53/1.21 inference(resolution,[status(thm)],[f437,f272])).
% 6.53/1.21 fof(f649,plain,(
% 6.53/1.21 spl0_14 <=> ssList(sk7)),
% 6.53/1.21 introduced(split_symbol_definition)).
% 6.53/1.21 fof(f651,plain,(
% 6.53/1.21 ~ssList(sk7)|spl0_14),
% 6.53/1.21 inference(component_clause,[status(thm)],[f649])).
% 6.53/1.21 fof(f654,plain,(
% 6.53/1.21 spl0_15 <=> ssList(app(sk5,sk6))),
% 6.53/1.21 introduced(split_symbol_definition)).
% 6.53/1.21 fof(f655,plain,(
% 6.53/1.21 ssList(app(sk5,sk6))|~spl0_15),
% 6.53/1.21 inference(component_clause,[status(thm)],[f654])).
% 6.53/1.21 fof(f656,plain,(
% 6.53/1.21 ~ssList(app(sk5,sk6))|spl0_15),
% 6.53/1.22 inference(component_clause,[status(thm)],[f654])).
% 6.53/1.22 fof(f659,plain,(
% 6.53/1.22 spl0_16 <=> ssList(sk6)),
% 6.53/1.22 introduced(split_symbol_definition)).
% 6.53/1.22 fof(f661,plain,(
% 6.53/1.22 ~ssList(sk6)|spl0_16),
% 6.53/1.22 inference(component_clause,[status(thm)],[f659])).
% 6.53/1.22 fof(f670,plain,(
% 6.53/1.22 spl0_17 <=> ssList(sk5)),
% 6.53/1.22 introduced(split_symbol_definition)).
% 6.53/1.22 fof(f672,plain,(
% 6.53/1.22 ~ssList(sk5)|spl0_17),
% 6.53/1.22 inference(component_clause,[status(thm)],[f670])).
% 6.53/1.22 fof(f687,plain,(
% 6.53/1.22 $false|spl0_17),
% 6.53/1.22 inference(forward_subsumption_resolution,[status(thm)],[f672,f437])).
% 6.53/1.22 fof(f688,plain,(
% 6.53/1.22 spl0_17),
% 6.53/1.22 inference(contradiction_clause,[status(thm)],[f687])).
% 6.53/1.22 fof(f690,plain,(
% 6.53/1.22 ![X0]: (~ssList(X0)|neq(sk7,X0)|sk7=X0)),
% 6.53/1.22 inference(resolution,[status(thm)],[f301,f439])).
% 6.53/1.22 fof(f707,plain,(
% 6.53/1.22 spl0_19 <=> sk7=nil),
% 6.53/1.22 introduced(split_symbol_definition)).
% 6.53/1.22 fof(f708,plain,(
% 6.53/1.22 sk7=nil|~spl0_19),
% 6.53/1.22 inference(component_clause,[status(thm)],[f707])).
% 6.53/1.22 fof(f710,plain,(
% 6.53/1.22 spl0_20 <=> segmentP(sk2,sk7)),
% 6.53/1.22 introduced(split_symbol_definition)).
% 6.53/1.22 fof(f713,plain,(
% 6.53/1.22 spl0_21 <=> segmentP(sk1,sk7)),
% 6.53/1.22 introduced(split_symbol_definition)).
% 6.53/1.22 fof(f716,plain,(
% 6.53/1.22 ~ssList(nil)|sk7=nil|~ssList(sk7)|~segmentP(sk2,sk7)|~segmentP(sk1,sk7)),
% 6.53/1.22 inference(resolution,[status(thm)],[f690,f436])).
% 6.53/1.22 fof(f717,plain,(
% 6.53/1.22 ~spl0_9|spl0_19|~spl0_14|~spl0_20|~spl0_21),
% 6.53/1.22 inference(split_clause,[status(thm)],[f716,f520,f707,f649,f710,f713])).
% 6.53/1.22 fof(f718,plain,(
% 6.53/1.22 $false|spl0_14),
% 6.53/1.22 inference(forward_subsumption_resolution,[status(thm)],[f651,f439])).
% 6.53/1.22 fof(f719,plain,(
% 6.53/1.22 spl0_14),
% 6.53/1.22 inference(contradiction_clause,[status(thm)],[f718])).
% 6.53/1.22 fof(f736,plain,(
% 6.53/1.22 $false|spl0_16),
% 6.53/1.22 inference(forward_subsumption_resolution,[status(thm)],[f661,f438])).
% 6.53/1.22 fof(f737,plain,(
% 6.53/1.22 spl0_16),
% 6.53/1.22 inference(contradiction_clause,[status(thm)],[f736])).
% 6.53/1.22 fof(f806,plain,(
% 6.53/1.22 ~ssList(sk6)|~ssList(sk5)|spl0_15),
% 6.53/1.22 inference(resolution,[status(thm)],[f656,f284])).
% 6.53/1.22 fof(f807,plain,(
% 6.53/1.22 ~spl0_16|~spl0_17|spl0_15),
% 6.53/1.22 inference(split_clause,[status(thm)],[f806,f659,f670,f654])).
% 6.53/1.22 fof(f1422,plain,(
% 6.53/1.22 spl0_48 <=> ~ssList(X0)|~ssList(app(sk1,X0))|segmentP(app(app(app(sk5,sk6),sk7),X0),sk7)),
% 6.72/1.22 introduced(split_symbol_definition)).
% 6.72/1.22 fof(f1423,plain,(
% 6.72/1.22 ![X0]: (~ssList(X0)|~ssList(app(sk1,X0))|segmentP(app(app(app(sk5,sk6),sk7),X0),sk7)|~spl0_48)),
% 6.72/1.22 inference(component_clause,[status(thm)],[f1422])).
% 6.72/1.22 fof(f1425,plain,(
% 6.72/1.22 ![X0]: (~ssList(X0)|~ssList(app(sk5,sk6))|~ssList(sk7)|~ssList(app(sk1,X0))|segmentP(app(app(app(sk5,sk6),sk7),X0),sk7))),
% 6.72/1.22 inference(paramodulation,[status(thm)],[f480,f469])).
% 6.72/1.22 fof(f1426,plain,(
% 6.72/1.22 spl0_48|~spl0_15|~spl0_14),
% 6.72/1.22 inference(split_clause,[status(thm)],[f1425,f1422,f654,f649])).
% 6.72/1.22 fof(f1432,plain,(
% 6.72/1.22 spl0_50 <=> ~ssList(X0)|~ssList(app(sk2,X0))|segmentP(app(app(sk5,sk7),X0),sk7)),
% 6.72/1.22 introduced(split_symbol_definition)).
% 6.72/1.22 fof(f1433,plain,(
% 6.72/1.22 ![X0]: (~ssList(X0)|~ssList(app(sk2,X0))|segmentP(app(app(sk5,sk7),X0),sk7)|~spl0_50)),
% 6.72/1.22 inference(component_clause,[status(thm)],[f1432])).
% 6.72/1.22 fof(f1435,plain,(
% 6.72/1.22 ![X0]: (~ssList(X0)|~ssList(sk5)|~ssList(sk7)|~ssList(app(sk2,X0))|segmentP(app(app(sk5,sk7),X0),sk7))),
% 6.72/1.22 inference(paramodulation,[status(thm)],[f481,f469])).
% 6.72/1.22 fof(f1436,plain,(
% 6.72/1.22 spl0_50|~spl0_17|~spl0_14),
% 6.72/1.22 inference(split_clause,[status(thm)],[f1435,f1432,f670,f649])).
% 6.72/1.22 fof(f1484,plain,(
% 6.72/1.22 spl0_58 <=> ~ssList(X0)|~ssList(app(sk2,X0))|segmentP(app(app(nil,sk2),X0),sk2)),
% 6.72/1.22 introduced(split_symbol_definition)).
% 6.72/1.22 fof(f1485,plain,(
% 6.72/1.22 ![X0]: (~ssList(X0)|~ssList(app(sk2,X0))|segmentP(app(app(nil,sk2),X0),sk2)|~spl0_58)),
% 6.72/1.22 inference(component_clause,[status(thm)],[f1484])).
% 6.72/1.22 fof(f1487,plain,(
% 6.72/1.22 ![X0]: (~ssList(X0)|~ssList(nil)|~ssList(sk2)|~ssList(app(sk2,X0))|segmentP(app(app(nil,sk2),X0),sk2))),
% 6.72/1.22 inference(paramodulation,[status(thm)],[f542,f469])).
% 6.72/1.22 fof(f1488,plain,(
% 6.72/1.22 spl0_58|~spl0_9|~spl0_2),
% 6.72/1.22 inference(split_clause,[status(thm)],[f1487,f1484,f520,f485])).
% 6.72/1.22 fof(f1500,plain,(
% 6.72/1.22 ![X0]: (~ssList(X0)|~ssList(app(sk2,X0))|segmentP(app(sk2,X0),sk2)|~spl0_58)),
% 6.72/1.22 inference(forward_demodulation,[status(thm)],[f542,f1485])).
% 6.72/1.22 fof(f1513,plain,(
% 6.72/1.22 ![X0]: (~ssList(X0)|~ssList(app(sk1,X0))|segmentP(app(sk1,X0),sk7)|~spl0_48)),
% 6.72/1.22 inference(forward_demodulation,[status(thm)],[f480,f1423])).
% 6.72/1.22 fof(f1514,plain,(
% 6.72/1.22 ![X0]: (~ssList(X0)|~ssList(app(sk2,X0))|segmentP(app(sk2,X0),sk7)|~spl0_50)),
% 6.72/1.22 inference(forward_demodulation,[status(thm)],[f481,f1433])).
% 6.72/1.22 fof(f1561,plain,(
% 6.72/1.22 spl0_61 <=> ssList(app(sk2,nil))),
% 6.72/1.22 introduced(split_symbol_definition)).
% 6.72/1.22 fof(f1563,plain,(
% 6.72/1.22 ~ssList(app(sk2,nil))|spl0_61),
% 6.72/1.22 inference(component_clause,[status(thm)],[f1561])).
% 6.72/1.22 fof(f1566,plain,(
% 6.72/1.22 ~ssList(sk2)|spl0_61),
% 6.72/1.22 inference(forward_demodulation,[status(thm)],[f536,f1563])).
% 6.72/1.22 fof(f1567,plain,(
% 6.72/1.22 $false|spl0_61),
% 6.72/1.22 inference(forward_subsumption_resolution,[status(thm)],[f1566,f430])).
% 6.72/1.22 fof(f1568,plain,(
% 6.72/1.22 spl0_61),
% 6.72/1.22 inference(contradiction_clause,[status(thm)],[f1567])).
% 6.72/1.22 fof(f1698,plain,(
% 6.72/1.22 spl0_82 <=> ssList(app(sk1,nil))),
% 6.72/1.22 introduced(split_symbol_definition)).
% 6.72/1.22 fof(f1700,plain,(
% 6.72/1.22 ~ssList(app(sk1,nil))|spl0_82),
% 6.72/1.22 inference(component_clause,[status(thm)],[f1698])).
% 6.72/1.22 fof(f1703,plain,(
% 6.72/1.22 ~ssList(sk1)|spl0_82),
% 6.72/1.22 inference(forward_demodulation,[status(thm)],[f537,f1700])).
% 6.72/1.22 fof(f1704,plain,(
% 6.72/1.22 $false|spl0_82),
% 6.72/1.22 inference(forward_subsumption_resolution,[status(thm)],[f1703,f429])).
% 6.72/1.22 fof(f1705,plain,(
% 6.72/1.22 spl0_82),
% 6.72/1.22 inference(contradiction_clause,[status(thm)],[f1704])).
% 6.72/1.22 fof(f1707,plain,(
% 6.72/1.22 ~ssList(nil)|~ssList(app(sk1,nil))|segmentP(sk1,sk7)|~spl0_48),
% 6.72/1.22 inference(paramodulation,[status(thm)],[f537,f1513])).
% 6.72/1.22 fof(f1708,plain,(
% 6.72/1.22 ~spl0_9|~spl0_82|spl0_21|~spl0_48),
% 6.72/1.22 inference(split_clause,[status(thm)],[f1707,f520,f1698,f713,f1422])).
% 6.72/1.22 fof(f1731,plain,(
% 6.72/1.22 app(app(sk5,sk6),nil)=sk1|~spl0_19),
% 6.72/1.22 inference(backward_demodulation,[status(thm)],[f708,f480])).
% 6.72/1.22 fof(f1735,plain,(
% 6.72/1.22 app(sk5,nil)=sk2|~spl0_19),
% 6.72/1.22 inference(backward_demodulation,[status(thm)],[f708,f481])).
% 6.72/1.22 fof(f1736,plain,(
% 6.72/1.22 sk5=sk2|~spl0_19),
% 6.72/1.22 inference(forward_demodulation,[status(thm)],[f616,f1735])).
% 6.72/1.22 fof(f1846,plain,(
% 6.72/1.22 app(app(sk2,sk6),nil)=sk1|~spl0_19),
% 6.72/1.22 inference(forward_demodulation,[status(thm)],[f1736,f1731])).
% 6.72/1.22 fof(f1863,plain,(
% 6.72/1.22 ssList(app(sk2,sk6))|~spl0_19|~spl0_15),
% 6.72/1.22 inference(backward_demodulation,[status(thm)],[f1736,f655])).
% 6.72/1.22 fof(f1920,plain,(
% 6.72/1.22 spl0_84 <=> ssList(app(sk2,sk6))),
% 6.72/1.22 introduced(split_symbol_definition)).
% 6.72/1.22 fof(f1922,plain,(
% 6.72/1.22 ~ssList(app(sk2,sk6))|spl0_84),
% 6.72/1.22 inference(component_clause,[status(thm)],[f1920])).
% 6.72/1.22 fof(f1933,plain,(
% 6.72/1.22 $false|~spl0_19|~spl0_15|spl0_84),
% 6.72/1.22 inference(forward_subsumption_resolution,[status(thm)],[f1922,f1863])).
% 6.72/1.22 fof(f1934,plain,(
% 6.72/1.22 ~spl0_19|~spl0_15|spl0_84),
% 6.72/1.22 inference(contradiction_clause,[status(thm)],[f1933])).
% 6.72/1.22 fof(f2432,plain,(
% 6.72/1.22 app(app(sk2,sk6),nil)=app(sk2,sk6)|~spl0_19|~spl0_15),
% 6.72/1.22 inference(resolution,[status(thm)],[f1863,f272])).
% 6.72/1.22 fof(f2433,plain,(
% 6.72/1.22 sk1=app(sk2,sk6)|~spl0_19|~spl0_15),
% 6.72/1.22 inference(forward_demodulation,[status(thm)],[f1846,f2432])).
% 6.72/1.22 fof(f2991,plain,(
% 6.72/1.22 ~ssList(sk6)|~ssList(app(sk2,sk6))|segmentP(sk1,sk2)|~spl0_58|~spl0_19|~spl0_15),
% 6.72/1.22 inference(paramodulation,[status(thm)],[f2433,f1500])).
% 6.72/1.22 fof(f2992,plain,(
% 6.72/1.22 ~spl0_16|~spl0_84|spl0_4|~spl0_58|~spl0_19|~spl0_15),
% 6.72/1.22 inference(split_clause,[status(thm)],[f2991,f659,f1920,f491,f1484,f707,f654])).
% 6.72/1.22 fof(f3667,plain,(
% 6.72/1.22 ~ssList(nil)|~ssList(app(sk2,nil))|segmentP(sk2,sk7)|~spl0_50),
% 6.72/1.22 inference(paramodulation,[status(thm)],[f536,f1514])).
% 6.72/1.22 fof(f3668,plain,(
% 6.72/1.22 ~spl0_9|~spl0_61|spl0_20|~spl0_50),
% 6.72/1.22 inference(split_clause,[status(thm)],[f3667,f520,f1561,f710,f1432])).
% 6.72/1.22 fof(f3669,plain,(
% 6.72/1.22 $false),
% 6.72/1.22 inference(sat_refutation,[status(thm)],[f502,f504,f506,f596,f688,f717,f719,f737,f807,f1426,f1436,f1488,f1568,f1705,f1708,f1934,f2992,f3668])).
% 6.72/1.22 % SZS output end CNFRefutation for theBenchmark.p
% 6.78/1.23 % Elapsed time: 0.879596 seconds
% 6.78/1.23 % CPU time: 6.829773 seconds
% 6.78/1.23 % Total memory used: 132.134 MB
% 6.78/1.23 % Net memory used: 128.820 MB
%------------------------------------------------------------------------------