TSTP Solution File: SWC028-1 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : SWC028-1 : 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 12:38:56 EDT 2023
% Result : Unsatisfiable 0.14s 0.37s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWC028-1 : TPTP v8.1.2. Released v2.4.0.
% 0.07/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.14/0.34 % Computer : n013.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Tue May 30 11:16:50 EDT 2023
% 0.14/0.34 % CPUTime :
% 0.14/0.36 % Drodi V3.5.1
% 0.14/0.37 % Refutation found
% 0.14/0.37 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.14/0.37 % SZS output start CNFRefutation for theBenchmark
% 0.14/0.37 fof(f8,axiom,(
% 0.14/0.37 ssList(nil) ),
% 0.14/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.37 fof(f9,axiom,(
% 0.14/0.37 ssItem(skac3) ),
% 0.14/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.37 fof(f10,axiom,(
% 0.14/0.37 ssItem(skac2) ),
% 0.14/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.37 fof(f58,axiom,(
% 0.14/0.37 (![U]: (( ~ ssList(U)| rearsegP(U,nil) ) ))),
% 0.14/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.37 fof(f82,axiom,(
% 0.14/0.37 (![U]: (( ~ rearsegP(nil,U)| ~ ssList(U)| nil = U ) ))),
% 0.14/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.37 fof(f102,axiom,(
% 0.14/0.37 (![U,V]: (( ~ ssItem(U)| ~ ssItem(V)| neq(V,U)| V = U ) ))),
% 0.14/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.37 fof(f115,axiom,(
% 0.14/0.37 (![U,V]: (( U != V| ~ neq(U,V)| ~ ssList(V)| ~ ssList(U) ) ))),
% 0.14/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.37 fof(f117,axiom,(
% 0.14/0.37 (![U,V]: (( U != V| ~ neq(U,V)| ~ ssItem(V)| ~ ssItem(U) ) ))),
% 0.14/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.37 fof(f128,axiom,(
% 0.14/0.37 (![U,V]: (( ~ rearsegP(U,V)| ~ rearsegP(V,U)| ~ ssList(U)| ~ ssList(V)| V = U ) ))),
% 0.14/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.37 fof(f153,axiom,(
% 0.14/0.37 (![U,V,W]: (( ~ rearsegP(U,V)| ~ rearsegP(V,W)| ~ ssList(W)| ~ ssList(V)| ~ ssList(U)| rearsegP(U,W) ) ))),
% 0.14/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.37 fof(f186,negated_conjecture,(
% 0.14/0.37 ssList(sk1) ),
% 0.14/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.37 fof(f190,negated_conjecture,(
% 0.14/0.37 sk2 = sk4 ),
% 0.14/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.37 fof(f191,negated_conjecture,(
% 0.14/0.37 sk1 = sk3 ),
% 0.14/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.37 fof(f192,negated_conjecture,(
% 0.14/0.37 ( nil = sk2| nil = sk1 ) ),
% 0.14/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.37 fof(f195,negated_conjecture,(
% 0.14/0.37 ( nil != sk1| nil != sk2 ) ),
% 0.14/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.37 fof(f196,negated_conjecture,(
% 0.14/0.37 ( nil = sk4| neq(sk3,nil) ) ),
% 0.14/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.37 fof(f199,negated_conjecture,(
% 0.14/0.37 ( nil = sk3| rearsegP(sk4,sk3) ) ),
% 0.14/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.37 fof(f207,plain,(
% 0.14/0.37 ssList(nil)),
% 0.14/0.37 inference(cnf_transformation,[status(esa)],[f8])).
% 0.14/0.37 fof(f208,plain,(
% 0.14/0.37 ssItem(skac3)),
% 0.14/0.37 inference(cnf_transformation,[status(esa)],[f9])).
% 0.14/0.37 fof(f209,plain,(
% 0.14/0.37 ssItem(skac2)),
% 0.14/0.37 inference(cnf_transformation,[status(esa)],[f10])).
% 0.14/0.37 fof(f257,plain,(
% 0.14/0.37 ![X0]: (~ssList(X0)|rearsegP(X0,nil))),
% 0.14/0.37 inference(cnf_transformation,[status(esa)],[f58])).
% 0.14/0.37 fof(f282,plain,(
% 0.14/0.37 ![X0]: (~rearsegP(nil,X0)|~ssList(X0)|nil=X0)),
% 0.14/0.37 inference(cnf_transformation,[status(esa)],[f82])).
% 0.14/0.37 fof(f304,plain,(
% 0.14/0.37 ![X0,X1]: (~ssItem(X0)|~ssItem(X1)|neq(X1,X0)|X1=X0)),
% 0.14/0.37 inference(cnf_transformation,[status(esa)],[f102])).
% 0.14/0.37 fof(f320,plain,(
% 0.14/0.37 ![U]: ((![V]: ((~U=V|~neq(U,V))|~ssList(V)))|~ssList(U))),
% 0.14/0.37 inference(miniscoping,[status(esa)],[f115])).
% 0.14/0.37 fof(f321,plain,(
% 0.14/0.37 ![X0,X1]: (~X0=X1|~neq(X0,X1)|~ssList(X1)|~ssList(X0))),
% 0.14/0.37 inference(cnf_transformation,[status(esa)],[f320])).
% 0.14/0.37 fof(f324,plain,(
% 0.14/0.37 ![U]: ((![V]: ((~U=V|~neq(U,V))|~ssItem(V)))|~ssItem(U))),
% 0.14/0.37 inference(miniscoping,[status(esa)],[f117])).
% 0.14/0.37 fof(f325,plain,(
% 0.14/0.37 ![X0,X1]: (~X0=X1|~neq(X0,X1)|~ssItem(X1)|~ssItem(X0))),
% 0.14/0.37 inference(cnf_transformation,[status(esa)],[f324])).
% 0.14/0.37 fof(f340,plain,(
% 0.14/0.37 ![X0,X1]: (~rearsegP(X0,X1)|~rearsegP(X1,X0)|~ssList(X0)|~ssList(X1)|X1=X0)),
% 0.14/0.37 inference(cnf_transformation,[status(esa)],[f128])).
% 0.14/0.37 fof(f375,plain,(
% 0.14/0.37 ![U,W]: (((![V]: (((~rearsegP(U,V)|~rearsegP(V,W))|~ssList(W))|~ssList(V)))|~ssList(U))|rearsegP(U,W))),
% 0.14/0.37 inference(miniscoping,[status(esa)],[f153])).
% 0.14/0.37 fof(f376,plain,(
% 0.14/0.37 ![X0,X1,X2]: (~rearsegP(X0,X1)|~rearsegP(X1,X2)|~ssList(X2)|~ssList(X1)|~ssList(X0)|rearsegP(X0,X2))),
% 0.14/0.37 inference(cnf_transformation,[status(esa)],[f375])).
% 0.14/0.37 fof(f430,plain,(
% 0.14/0.37 ssList(sk1)),
% 0.14/0.37 inference(cnf_transformation,[status(esa)],[f186])).
% 0.14/0.37 fof(f434,plain,(
% 0.14/0.37 sk2=sk4),
% 0.14/0.37 inference(cnf_transformation,[status(esa)],[f190])).
% 0.14/0.37 fof(f435,plain,(
% 0.14/0.37 sk1=sk3),
% 0.14/0.37 inference(cnf_transformation,[status(esa)],[f191])).
% 0.14/0.37 fof(f436,plain,(
% 0.14/0.37 nil=sk2|nil=sk1),
% 0.14/0.37 inference(cnf_transformation,[status(esa)],[f192])).
% 0.14/0.37 fof(f439,plain,(
% 0.14/0.37 ~nil=sk1|~nil=sk2),
% 0.14/0.37 inference(cnf_transformation,[status(esa)],[f195])).
% 0.14/0.37 fof(f440,plain,(
% 0.14/0.37 nil=sk4|neq(sk3,nil)),
% 0.14/0.37 inference(cnf_transformation,[status(esa)],[f196])).
% 0.14/0.37 fof(f443,plain,(
% 0.14/0.37 nil=sk3|rearsegP(sk4,sk3)),
% 0.14/0.37 inference(cnf_transformation,[status(esa)],[f199])).
% 0.14/0.37 fof(f451,plain,(
% 0.14/0.37 spl0_2 <=> nil=sk2),
% 0.14/0.37 introduced(split_symbol_definition)).
% 0.14/0.37 fof(f452,plain,(
% 0.14/0.37 nil=sk2|~spl0_2),
% 0.14/0.37 inference(component_clause,[status(thm)],[f451])).
% 0.14/0.37 fof(f454,plain,(
% 0.14/0.37 spl0_3 <=> nil=sk1),
% 0.14/0.37 introduced(split_symbol_definition)).
% 0.14/0.37 fof(f455,plain,(
% 0.14/0.37 nil=sk1|~spl0_3),
% 0.14/0.37 inference(component_clause,[status(thm)],[f454])).
% 0.14/0.37 fof(f456,plain,(
% 0.14/0.37 ~nil=sk1|spl0_3),
% 0.14/0.37 inference(component_clause,[status(thm)],[f454])).
% 0.14/0.37 fof(f457,plain,(
% 0.14/0.37 spl0_2|spl0_3),
% 0.14/0.37 inference(split_clause,[status(thm)],[f436,f451,f454])).
% 0.14/0.37 fof(f460,plain,(
% 0.14/0.37 ~spl0_3|~spl0_2),
% 0.14/0.37 inference(split_clause,[status(thm)],[f439,f454,f451])).
% 0.14/0.37 fof(f461,plain,(
% 0.14/0.37 spl0_4 <=> nil=sk4),
% 0.14/0.37 introduced(split_symbol_definition)).
% 0.14/0.37 fof(f462,plain,(
% 0.14/0.37 nil=sk4|~spl0_4),
% 0.14/0.37 inference(component_clause,[status(thm)],[f461])).
% 0.14/0.37 fof(f464,plain,(
% 0.14/0.37 spl0_5 <=> neq(sk3,nil)),
% 0.14/0.37 introduced(split_symbol_definition)).
% 0.14/0.37 fof(f465,plain,(
% 0.14/0.37 neq(sk3,nil)|~spl0_5),
% 0.14/0.37 inference(component_clause,[status(thm)],[f464])).
% 0.14/0.37 fof(f467,plain,(
% 0.14/0.37 spl0_4|spl0_5),
% 0.14/0.37 inference(split_clause,[status(thm)],[f440,f461,f464])).
% 0.14/0.37 fof(f468,plain,(
% 0.14/0.37 spl0_6 <=> rearsegP(sk4,sk3)),
% 0.14/0.37 introduced(split_symbol_definition)).
% 0.14/0.37 fof(f469,plain,(
% 0.14/0.37 rearsegP(sk4,sk3)|~spl0_6),
% 0.14/0.37 inference(component_clause,[status(thm)],[f468])).
% 0.14/0.37 fof(f472,plain,(
% 0.14/0.37 spl0_7 <=> nil=sk3),
% 0.14/0.37 introduced(split_symbol_definition)).
% 0.14/0.37 fof(f473,plain,(
% 0.14/0.37 nil=sk3|~spl0_7),
% 0.14/0.37 inference(component_clause,[status(thm)],[f472])).
% 0.14/0.37 fof(f476,plain,(
% 0.14/0.37 spl0_7|spl0_6),
% 0.14/0.37 inference(split_clause,[status(thm)],[f443,f472,f468])).
% 0.14/0.37 fof(f484,plain,(
% 0.14/0.37 ![X1]: (~neq(X1,X1)|~ssList(X1)|~ssList(X1))),
% 0.14/0.37 inference(destructive_equality_resolution,[status(esa)],[f321])).
% 0.14/0.37 fof(f485,plain,(
% 0.14/0.37 ![X0]: (~neq(X0,X0)|~ssList(X0))),
% 0.14/0.37 inference(duplicate_literals_removal,[status(esa)],[f484])).
% 0.14/0.37 fof(f487,plain,(
% 0.14/0.37 ![X1]: (~neq(X1,X1)|~ssItem(X1)|~ssItem(X1))),
% 0.14/0.37 inference(destructive_equality_resolution,[status(esa)],[f325])).
% 0.14/0.37 fof(f488,plain,(
% 0.14/0.37 ![X0]: (~neq(X0,X0)|~ssItem(X0))),
% 0.14/0.37 inference(duplicate_literals_removal,[status(esa)],[f487])).
% 0.14/0.37 fof(f508,plain,(
% 0.14/0.37 spl0_8 <=> ssList(nil)),
% 0.14/0.37 introduced(split_symbol_definition)).
% 0.14/0.37 fof(f510,plain,(
% 0.14/0.37 ~ssList(nil)|spl0_8),
% 0.14/0.37 inference(component_clause,[status(thm)],[f508])).
% 0.14/0.37 fof(f511,plain,(
% 0.14/0.37 spl0_9 <=> nil=nil),
% 0.14/0.37 introduced(split_symbol_definition)).
% 0.14/0.37 fof(f514,plain,(
% 0.14/0.37 ~ssList(nil)|nil=nil|~ssList(nil)),
% 0.14/0.37 inference(resolution,[status(thm)],[f282,f257])).
% 0.14/0.37 fof(f515,plain,(
% 0.14/0.37 ~spl0_8|spl0_9),
% 0.14/0.37 inference(split_clause,[status(thm)],[f514,f508,f511])).
% 0.14/0.37 fof(f518,plain,(
% 0.14/0.37 $false|spl0_8),
% 0.14/0.37 inference(forward_subsumption_resolution,[status(thm)],[f510,f207])).
% 0.14/0.37 fof(f519,plain,(
% 0.14/0.37 spl0_8),
% 0.14/0.37 inference(contradiction_clause,[status(thm)],[f518])).
% 0.14/0.37 fof(f520,plain,(
% 0.14/0.37 spl0_10 <=> ~rearsegP(nil,X0)|~ssList(X0)|X0=nil|~ssList(X0)),
% 0.14/0.37 introduced(split_symbol_definition)).
% 0.14/0.37 fof(f523,plain,(
% 0.14/0.37 ![X0]: (~rearsegP(nil,X0)|~ssList(nil)|~ssList(X0)|X0=nil|~ssList(X0))),
% 0.14/0.37 inference(resolution,[status(thm)],[f340,f257])).
% 0.14/0.37 fof(f524,plain,(
% 0.14/0.37 spl0_10|~spl0_8),
% 0.14/0.37 inference(split_clause,[status(thm)],[f523,f520,f508])).
% 0.14/0.37 fof(f528,plain,(
% 0.14/0.37 ![X0]: (~ssItem(X0)|neq(skac3,X0)|skac3=X0)),
% 0.14/0.37 inference(resolution,[status(thm)],[f208,f304])).
% 0.14/0.37 fof(f529,plain,(
% 0.14/0.37 ~neq(skac3,skac3)),
% 0.14/0.37 inference(resolution,[status(thm)],[f208,f488])).
% 0.14/0.37 fof(f530,plain,(
% 0.14/0.37 ![X0]: (~ssItem(X0)|neq(skac2,X0)|skac2=X0)),
% 0.14/0.37 inference(resolution,[status(thm)],[f209,f304])).
% 0.14/0.37 fof(f531,plain,(
% 0.14/0.37 ~neq(skac2,skac2)),
% 0.14/0.37 inference(resolution,[status(thm)],[f209,f488])).
% 0.14/0.37 fof(f538,plain,(
% 0.14/0.37 nil=sk1|~spl0_7),
% 0.14/0.37 inference(forward_demodulation,[status(thm)],[f435,f473])).
% 0.14/0.37 fof(f541,plain,(
% 0.14/0.37 nil=sk2|~spl0_4),
% 0.14/0.37 inference(forward_demodulation,[status(thm)],[f434,f462])).
% 0.14/0.37 fof(f544,plain,(
% 0.14/0.37 ~nil=nil|~spl0_7|spl0_3),
% 0.14/0.37 inference(forward_demodulation,[status(thm)],[f538,f456])).
% 0.14/0.37 fof(f545,plain,(
% 0.14/0.37 $false|~spl0_7|spl0_3),
% 0.14/0.37 inference(trivial_equality_resolution,[status(esa)],[f544])).
% 0.14/0.37 fof(f546,plain,(
% 0.14/0.37 ~spl0_7|spl0_3),
% 0.14/0.37 inference(contradiction_clause,[status(thm)],[f545])).
% 0.14/0.37 fof(f550,plain,(
% 0.14/0.37 spl0_12 <=> ssList(sk3)),
% 0.14/0.37 introduced(split_symbol_definition)).
% 0.14/0.37 fof(f552,plain,(
% 0.14/0.37 ~ssList(sk3)|spl0_12),
% 0.14/0.37 inference(component_clause,[status(thm)],[f550])).
% 0.14/0.37 fof(f553,plain,(
% 0.14/0.37 spl0_13 <=> ssList(sk4)),
% 0.14/0.37 introduced(split_symbol_definition)).
% 0.14/0.37 fof(f555,plain,(
% 0.14/0.37 ~ssList(sk4)|spl0_13),
% 0.14/0.37 inference(component_clause,[status(thm)],[f553])).
% 0.14/0.37 fof(f561,plain,(
% 0.14/0.37 spl0_2|~spl0_4),
% 0.14/0.37 inference(split_clause,[status(thm)],[f541,f451,f461])).
% 0.14/0.37 fof(f569,plain,(
% 0.14/0.37 nil=sk4|~spl0_2),
% 0.14/0.37 inference(forward_demodulation,[status(thm)],[f452,f434])).
% 0.14/0.37 fof(f571,plain,(
% 0.14/0.37 ~ssList(nil)|~spl0_2|spl0_13),
% 0.14/0.37 inference(backward_demodulation,[status(thm)],[f569,f555])).
% 0.14/0.37 fof(f572,plain,(
% 0.14/0.37 ~spl0_8|~spl0_2|spl0_13),
% 0.14/0.37 inference(split_clause,[status(thm)],[f571,f508,f451,f553])).
% 0.14/0.37 fof(f592,plain,(
% 0.14/0.37 rearsegP(nil,sk3)|~spl0_2|~spl0_6),
% 0.14/0.37 inference(forward_demodulation,[status(thm)],[f569,f469])).
% 0.14/0.37 fof(f593,plain,(
% 0.14/0.37 ~ssList(sk3)|nil=sk3|~spl0_2|~spl0_6),
% 0.14/0.37 inference(resolution,[status(thm)],[f592,f282])).
% 0.14/0.37 fof(f594,plain,(
% 0.14/0.37 ~spl0_12|spl0_7|~spl0_2|~spl0_6),
% 0.14/0.37 inference(split_clause,[status(thm)],[f593,f550,f472,f451,f468])).
% 0.14/0.37 fof(f602,plain,(
% 0.14/0.37 neq(sk1,nil)|~spl0_5),
% 0.14/0.37 inference(backward_demodulation,[status(thm)],[f435,f465])).
% 0.14/0.37 fof(f607,plain,(
% 0.14/0.37 spl0_18 <=> skac3=skac3),
% 0.14/0.37 introduced(split_symbol_definition)).
% 0.14/0.37 fof(f615,plain,(
% 0.14/0.37 spl0_20 <=> skac2=skac2),
% 0.14/0.37 introduced(split_symbol_definition)).
% 0.14/0.37 fof(f620,plain,(
% 0.14/0.37 spl0_21 <=> ~rearsegP(nil,X0)|~rearsegP(X0,X1)|~ssList(X1)|~ssList(X0)|~ssList(X1)|nil=X1),
% 0.14/0.37 introduced(split_symbol_definition)).
% 0.14/0.37 fof(f623,plain,(
% 0.14/0.37 ![X0,X1]: (~rearsegP(nil,X0)|~rearsegP(X0,X1)|~ssList(X1)|~ssList(X0)|~ssList(nil)|~ssList(X1)|nil=X1)),
% 0.14/0.37 inference(resolution,[status(thm)],[f376,f282])).
% 0.14/0.37 fof(f624,plain,(
% 0.14/0.37 spl0_21|~spl0_8),
% 0.14/0.37 inference(split_clause,[status(thm)],[f623,f620,f508])).
% 0.14/0.37 fof(f625,plain,(
% 0.14/0.37 ![X0,X1,X2]: (~rearsegP(X0,X1)|~rearsegP(X1,X2)|~ssList(X2)|~ssList(X1)|~ssList(X0)|~rearsegP(X2,X0)|~ssList(X2)|~ssList(X0)|X0=X2)),
% 0.14/0.37 inference(resolution,[status(thm)],[f376,f340])).
% 0.14/0.37 fof(f626,plain,(
% 0.14/0.37 ![X0,X1,X2]: (~rearsegP(X0,X1)|~rearsegP(X1,X2)|~ssList(X2)|~ssList(X1)|~ssList(X0)|~rearsegP(X2,X0)|X0=X2)),
% 0.14/0.37 inference(duplicate_literals_removal,[status(esa)],[f625])).
% 0.14/0.37 fof(f628,plain,(
% 0.14/0.37 spl0_22 <=> ssItem(skac3)),
% 0.14/0.37 introduced(split_symbol_definition)).
% 0.14/0.37 fof(f630,plain,(
% 0.14/0.37 ~ssItem(skac3)|spl0_22),
% 0.14/0.37 inference(component_clause,[status(thm)],[f628])).
% 0.14/0.37 fof(f631,plain,(
% 0.14/0.37 ~ssItem(skac3)|skac3=skac3),
% 0.14/0.37 inference(resolution,[status(thm)],[f528,f529])).
% 0.14/0.37 fof(f632,plain,(
% 0.14/0.37 ~spl0_22|spl0_18),
% 0.14/0.37 inference(split_clause,[status(thm)],[f631,f628,f607])).
% 0.14/0.37 fof(f635,plain,(
% 0.14/0.37 $false|spl0_22),
% 0.14/0.37 inference(forward_subsumption_resolution,[status(thm)],[f630,f208])).
% 0.14/0.37 fof(f636,plain,(
% 0.14/0.37 spl0_22),
% 0.14/0.37 inference(contradiction_clause,[status(thm)],[f635])).
% 0.14/0.37 fof(f637,plain,(
% 0.14/0.37 spl0_23 <=> ssItem(skac2)),
% 0.14/0.37 introduced(split_symbol_definition)).
% 0.14/0.37 fof(f639,plain,(
% 0.14/0.37 ~ssItem(skac2)|spl0_23),
% 0.14/0.37 inference(component_clause,[status(thm)],[f637])).
% 0.14/0.37 fof(f640,plain,(
% 0.14/0.37 ~ssItem(skac2)|skac2=skac2),
% 0.14/0.37 inference(resolution,[status(thm)],[f530,f531])).
% 0.14/0.37 fof(f641,plain,(
% 0.14/0.37 ~spl0_23|spl0_20),
% 0.14/0.37 inference(split_clause,[status(thm)],[f640,f637,f615])).
% 0.14/0.37 fof(f644,plain,(
% 0.14/0.37 $false|spl0_23),
% 0.14/0.37 inference(forward_subsumption_resolution,[status(thm)],[f639,f209])).
% 0.14/0.37 fof(f645,plain,(
% 0.14/0.37 spl0_23),
% 0.14/0.37 inference(contradiction_clause,[status(thm)],[f644])).
% 0.14/0.37 fof(f653,plain,(
% 0.14/0.37 spl0_25 <=> ~rearsegP(X0,X1)|~ssList(X1)|~ssList(X0)|~rearsegP(nil,X0)|X0=nil|~ssList(X1)),
% 0.14/0.37 introduced(split_symbol_definition)).
% 0.14/0.37 fof(f656,plain,(
% 0.14/0.37 ![X0,X1]: (~rearsegP(X0,X1)|~ssList(nil)|~ssList(X1)|~ssList(X0)|~rearsegP(nil,X0)|X0=nil|~ssList(X1))),
% 0.14/0.37 inference(resolution,[status(thm)],[f626,f257])).
% 0.14/0.37 fof(f657,plain,(
% 0.14/0.37 spl0_25|~spl0_8),
% 0.14/0.37 inference(split_clause,[status(thm)],[f656,f653,f508])).
% 0.14/0.38 fof(f658,plain,(
% 0.14/0.38 ![X0,X1,X2,X3]: (~rearsegP(X0,X1)|~ssList(X2)|~ssList(X1)|~ssList(X0)|~rearsegP(X2,X0)|X0=X2|~rearsegP(X1,X3)|~rearsegP(X3,X2)|~ssList(X2)|~ssList(X3)|~ssList(X1))),
% 0.14/0.38 inference(resolution,[status(thm)],[f626,f376])).
% 0.14/0.38 fof(f659,plain,(
% 0.14/0.38 ![X0,X1,X2,X3]: (~rearsegP(X0,X1)|~ssList(X2)|~ssList(X1)|~ssList(X0)|~rearsegP(X2,X0)|X0=X2|~rearsegP(X1,X3)|~rearsegP(X3,X2)|~ssList(X3))),
% 0.14/0.38 inference(duplicate_literals_removal,[status(esa)],[f658])).
% 0.14/0.38 fof(f673,plain,(
% 0.14/0.38 spl0_26 <=> ~rearsegP(nil,X0)|~ssList(X1)|~ssList(X0)|nil=X1|~rearsegP(X0,X2)|~rearsegP(X2,X1)|~ssList(X2)|~ssList(X1)),
% 0.14/0.38 introduced(split_symbol_definition)).
% 0.14/0.38 fof(f676,plain,(
% 0.14/0.38 ![X0,X1,X2]: (~rearsegP(nil,X0)|~ssList(X1)|~ssList(X0)|~ssList(nil)|nil=X1|~rearsegP(X0,X2)|~rearsegP(X2,X1)|~ssList(X2)|~ssList(X1))),
% 0.14/0.38 inference(resolution,[status(thm)],[f659,f257])).
% 0.14/0.38 fof(f677,plain,(
% 0.14/0.38 spl0_26|~spl0_8),
% 0.14/0.38 inference(split_clause,[status(thm)],[f676,f673,f508])).
% 0.14/0.38 fof(f684,plain,(
% 0.14/0.38 spl0_27 <=> ~rearsegP(X0,nil)|~ssList(X0)|~rearsegP(nil,X0)|X0=nil),
% 0.14/0.38 introduced(split_symbol_definition)).
% 0.14/0.38 fof(f687,plain,(
% 0.14/0.38 ![X0]: (~rearsegP(X0,nil)|~ssList(nil)|~ssList(nil)|~ssList(X0)|~rearsegP(nil,X0)|X0=nil|~ssList(nil)|~ssList(nil))),
% 0.14/0.38 inference(resolution,[status(thm)],[f659,f257])).
% 0.14/0.38 fof(f688,plain,(
% 0.14/0.38 spl0_27|~spl0_8),
% 0.14/0.38 inference(split_clause,[status(thm)],[f687,f684,f508])).
% 0.14/0.38 fof(f689,plain,(
% 0.14/0.38 spl0_28 <=> ~rearsegP(X0,X1)|~ssList(X2)|~ssList(X1)|~ssList(X0)|~rearsegP(X2,X0)|X0=X2|~rearsegP(nil,X2)|~ssList(X1)),
% 0.14/0.38 introduced(split_symbol_definition)).
% 0.14/0.38 fof(f692,plain,(
% 0.14/0.38 ![X0,X1,X2]: (~rearsegP(X0,X1)|~ssList(X2)|~ssList(X1)|~ssList(X0)|~rearsegP(X2,X0)|X0=X2|~rearsegP(nil,X2)|~ssList(nil)|~ssList(X1))),
% 0.14/0.38 inference(resolution,[status(thm)],[f659,f257])).
% 0.14/0.38 fof(f693,plain,(
% 0.14/0.38 spl0_28|~spl0_8),
% 0.14/0.38 inference(split_clause,[status(thm)],[f692,f689,f508])).
% 0.14/0.38 fof(f704,plain,(
% 0.14/0.38 spl0_29 <=> ~rearsegP(X0,X1)|~ssList(X1)|~ssList(X0)|~rearsegP(nil,X0)|X0=nil|~rearsegP(X1,X2)|~ssList(X2)|~ssList(X2)),
% 0.14/0.38 introduced(split_symbol_definition)).
% 0.14/0.38 fof(f707,plain,(
% 0.14/0.38 ![X0,X1,X2]: (~rearsegP(X0,X1)|~ssList(nil)|~ssList(X1)|~ssList(X0)|~rearsegP(nil,X0)|X0=nil|~rearsegP(X1,X2)|~ssList(X2)|~ssList(X2))),
% 0.14/0.38 inference(resolution,[status(thm)],[f659,f257])).
% 0.14/0.38 fof(f708,plain,(
% 0.14/0.38 spl0_29|~spl0_8),
% 0.14/0.38 inference(split_clause,[status(thm)],[f707,f704,f508])).
% 0.14/0.38 fof(f742,plain,(
% 0.14/0.38 ~ssList(sk1)|spl0_12),
% 0.14/0.38 inference(forward_demodulation,[status(thm)],[f435,f552])).
% 0.14/0.38 fof(f743,plain,(
% 0.14/0.38 $false|spl0_12),
% 0.14/0.38 inference(forward_subsumption_resolution,[status(thm)],[f742,f430])).
% 0.14/0.38 fof(f744,plain,(
% 0.14/0.38 spl0_12),
% 0.14/0.38 inference(contradiction_clause,[status(thm)],[f743])).
% 0.14/0.38 fof(f752,plain,(
% 0.14/0.38 neq(nil,nil)|~spl0_3|~spl0_5),
% 0.14/0.38 inference(forward_demodulation,[status(thm)],[f455,f602])).
% 0.14/0.38 fof(f753,plain,(
% 0.14/0.38 ~ssList(nil)|~spl0_3|~spl0_5),
% 0.14/0.38 inference(resolution,[status(thm)],[f752,f485])).
% 0.14/0.38 fof(f754,plain,(
% 0.14/0.38 ~spl0_8|~spl0_3|~spl0_5),
% 0.14/0.38 inference(split_clause,[status(thm)],[f753,f508,f454,f464])).
% 0.14/0.38 fof(f755,plain,(
% 0.14/0.38 $false),
% 0.14/0.38 inference(sat_refutation,[status(thm)],[f457,f460,f467,f476,f515,f519,f524,f546,f561,f572,f594,f624,f632,f636,f641,f645,f657,f677,f688,f693,f708,f744,f754])).
% 0.14/0.38 % SZS output end CNFRefutation for theBenchmark.p
% 0.14/0.39 % Elapsed time: 0.035395 seconds
% 0.14/0.39 % CPU time: 0.082614 seconds
% 0.14/0.39 % Memory used: 16.205 MB
%------------------------------------------------------------------------------