TSTP Solution File: SWC020-1 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : SWC020-1 : TPTP v8.1.2. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n028.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 12:38:54 EDT 2023
% Result : Unsatisfiable 0.13s 0.36s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SWC020-1 : TPTP v8.1.2. Released v2.4.0.
% 0.11/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34 % Computer : n028.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 May 30 11:34:47 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.13/0.35 % Drodi V3.5.1
% 0.13/0.36 % Refutation found
% 0.13/0.36 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.13/0.36 % SZS output start CNFRefutation for theBenchmark
% 0.13/0.36 fof(f8,axiom,(
% 0.13/0.36 ssList(nil) ),
% 0.13/0.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.36 fof(f60,axiom,(
% 0.13/0.36 (![U]: (( ~ ssList(U)| frontsegP(U,nil) ) ))),
% 0.13/0.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.36 fof(f61,axiom,(
% 0.13/0.36 (![U]: (( ~ ssList(U)| frontsegP(U,U) ) ))),
% 0.13/0.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.36 fof(f84,axiom,(
% 0.13/0.36 (![U]: (( ~ frontsegP(nil,U)| ~ ssList(U)| nil = U ) ))),
% 0.13/0.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.36 fof(f100,axiom,(
% 0.13/0.36 (![U,V]: (( ~ ssList(U)| ~ ssList(V)| neq(V,U)| V = U ) ))),
% 0.13/0.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.36 fof(f129,axiom,(
% 0.13/0.36 (![U,V]: (( ~ frontsegP(U,V)| ~ frontsegP(V,U)| ~ ssList(U)| ~ ssList(V)| V = U ) ))),
% 0.13/0.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.36 fof(f186,negated_conjecture,(
% 0.13/0.36 ssList(sk1) ),
% 0.13/0.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.36 fof(f187,negated_conjecture,(
% 0.13/0.36 ssList(sk2) ),
% 0.13/0.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.36 fof(f190,negated_conjecture,(
% 0.13/0.36 sk2 = sk4 ),
% 0.13/0.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.36 fof(f191,negated_conjecture,(
% 0.13/0.36 sk1 = sk3 ),
% 0.13/0.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.36 fof(f192,negated_conjecture,(
% 0.13/0.36 (![A]: (( ~ ssList(A)| ~ neq(A,nil)| ~ frontsegP(sk2,A)| ~ frontsegP(sk1,A) ) ))),
% 0.13/0.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.36 fof(f193,negated_conjecture,(
% 0.13/0.36 ( nil != sk2| nil != sk1 ) ),
% 0.13/0.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.36 fof(f194,negated_conjecture,(
% 0.13/0.36 ( nil = sk4| neq(sk3,nil) ) ),
% 0.13/0.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.36 fof(f195,negated_conjecture,(
% 0.13/0.36 ( nil = sk4| frontsegP(sk4,sk3) ) ),
% 0.13/0.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.36 fof(f196,negated_conjecture,(
% 0.13/0.36 ( nil = sk3| neq(sk3,nil) ) ),
% 0.13/0.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.36 fof(f197,negated_conjecture,(
% 0.13/0.36 ( nil = sk3| frontsegP(sk4,sk3) ) ),
% 0.13/0.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.36 fof(f205,plain,(
% 0.13/0.36 ssList(nil)),
% 0.13/0.36 inference(cnf_transformation,[status(esa)],[f8])).
% 0.13/0.36 fof(f257,plain,(
% 0.13/0.36 ![X0]: (~ssList(X0)|frontsegP(X0,nil))),
% 0.13/0.36 inference(cnf_transformation,[status(esa)],[f60])).
% 0.13/0.36 fof(f258,plain,(
% 0.13/0.36 ![X0]: (~ssList(X0)|frontsegP(X0,X0))),
% 0.13/0.36 inference(cnf_transformation,[status(esa)],[f61])).
% 0.13/0.36 fof(f282,plain,(
% 0.13/0.36 ![X0]: (~frontsegP(nil,X0)|~ssList(X0)|nil=X0)),
% 0.13/0.36 inference(cnf_transformation,[status(esa)],[f84])).
% 0.13/0.36 fof(f300,plain,(
% 0.13/0.36 ![X0,X1]: (~ssList(X0)|~ssList(X1)|neq(X1,X0)|X1=X0)),
% 0.13/0.36 inference(cnf_transformation,[status(esa)],[f100])).
% 0.13/0.36 fof(f339,plain,(
% 0.13/0.36 ![X0,X1]: (~frontsegP(X0,X1)|~frontsegP(X1,X0)|~ssList(X0)|~ssList(X1)|X1=X0)),
% 0.13/0.36 inference(cnf_transformation,[status(esa)],[f129])).
% 0.13/0.36 fof(f428,plain,(
% 0.13/0.36 ssList(sk1)),
% 0.13/0.36 inference(cnf_transformation,[status(esa)],[f186])).
% 0.13/0.36 fof(f429,plain,(
% 0.13/0.36 ssList(sk2)),
% 0.13/0.36 inference(cnf_transformation,[status(esa)],[f187])).
% 0.13/0.36 fof(f432,plain,(
% 0.13/0.36 sk2=sk4),
% 0.13/0.36 inference(cnf_transformation,[status(esa)],[f190])).
% 0.13/0.36 fof(f433,plain,(
% 0.13/0.36 sk1=sk3),
% 0.13/0.36 inference(cnf_transformation,[status(esa)],[f191])).
% 0.13/0.36 fof(f434,plain,(
% 0.13/0.36 ![X0]: (~ssList(X0)|~neq(X0,nil)|~frontsegP(sk2,X0)|~frontsegP(sk1,X0))),
% 0.13/0.36 inference(cnf_transformation,[status(esa)],[f192])).
% 0.13/0.36 fof(f435,plain,(
% 0.13/0.36 ~nil=sk2|~nil=sk1),
% 0.13/0.36 inference(cnf_transformation,[status(esa)],[f193])).
% 0.13/0.36 fof(f436,plain,(
% 0.13/0.36 nil=sk4|neq(sk3,nil)),
% 0.13/0.36 inference(cnf_transformation,[status(esa)],[f194])).
% 0.13/0.36 fof(f437,plain,(
% 0.13/0.36 nil=sk4|frontsegP(sk4,sk3)),
% 0.13/0.36 inference(cnf_transformation,[status(esa)],[f195])).
% 0.13/0.36 fof(f438,plain,(
% 0.13/0.36 nil=sk3|neq(sk3,nil)),
% 0.13/0.36 inference(cnf_transformation,[status(esa)],[f196])).
% 0.13/0.36 fof(f439,plain,(
% 0.13/0.36 nil=sk3|frontsegP(sk4,sk3)),
% 0.13/0.36 inference(cnf_transformation,[status(esa)],[f197])).
% 0.13/0.36 fof(f447,plain,(
% 0.13/0.36 spl0_2 <=> nil=sk2),
% 0.13/0.36 introduced(split_symbol_definition)).
% 0.13/0.36 fof(f449,plain,(
% 0.13/0.36 ~nil=sk2|spl0_2),
% 0.13/0.36 inference(component_clause,[status(thm)],[f447])).
% 0.13/0.36 fof(f450,plain,(
% 0.13/0.36 spl0_3 <=> nil=sk1),
% 0.13/0.36 introduced(split_symbol_definition)).
% 0.13/0.36 fof(f452,plain,(
% 0.13/0.36 ~nil=sk1|spl0_3),
% 0.13/0.36 inference(component_clause,[status(thm)],[f450])).
% 0.13/0.36 fof(f453,plain,(
% 0.13/0.36 ~spl0_2|~spl0_3),
% 0.13/0.36 inference(split_clause,[status(thm)],[f435,f447,f450])).
% 0.13/0.36 fof(f454,plain,(
% 0.13/0.36 spl0_4 <=> nil=sk4),
% 0.13/0.36 introduced(split_symbol_definition)).
% 0.13/0.36 fof(f455,plain,(
% 0.13/0.36 nil=sk4|~spl0_4),
% 0.13/0.36 inference(component_clause,[status(thm)],[f454])).
% 0.13/0.36 fof(f457,plain,(
% 0.13/0.36 spl0_5 <=> neq(sk3,nil)),
% 0.13/0.36 introduced(split_symbol_definition)).
% 0.13/0.36 fof(f458,plain,(
% 0.13/0.36 neq(sk3,nil)|~spl0_5),
% 0.13/0.36 inference(component_clause,[status(thm)],[f457])).
% 0.13/0.36 fof(f460,plain,(
% 0.13/0.36 spl0_4|spl0_5),
% 0.13/0.36 inference(split_clause,[status(thm)],[f436,f454,f457])).
% 0.13/0.36 fof(f461,plain,(
% 0.13/0.36 spl0_6 <=> frontsegP(sk4,sk3)),
% 0.13/0.36 introduced(split_symbol_definition)).
% 0.13/0.36 fof(f462,plain,(
% 0.13/0.36 frontsegP(sk4,sk3)|~spl0_6),
% 0.13/0.36 inference(component_clause,[status(thm)],[f461])).
% 0.13/0.36 fof(f464,plain,(
% 0.13/0.36 spl0_4|spl0_6),
% 0.13/0.36 inference(split_clause,[status(thm)],[f437,f454,f461])).
% 0.13/0.36 fof(f465,plain,(
% 0.13/0.36 spl0_7 <=> nil=sk3),
% 0.13/0.36 introduced(split_symbol_definition)).
% 0.13/0.36 fof(f466,plain,(
% 0.13/0.36 nil=sk3|~spl0_7),
% 0.13/0.36 inference(component_clause,[status(thm)],[f465])).
% 0.13/0.36 fof(f468,plain,(
% 0.13/0.36 spl0_7|spl0_5),
% 0.13/0.36 inference(split_clause,[status(thm)],[f438,f465,f457])).
% 0.13/0.36 fof(f469,plain,(
% 0.13/0.36 spl0_7|spl0_6),
% 0.13/0.36 inference(split_clause,[status(thm)],[f439,f465,f461])).
% 0.13/0.36 fof(f501,plain,(
% 0.13/0.36 spl0_8 <=> ssList(nil)),
% 0.13/0.36 introduced(split_symbol_definition)).
% 0.13/0.36 fof(f503,plain,(
% 0.13/0.36 ~ssList(nil)|spl0_8),
% 0.13/0.36 inference(component_clause,[status(thm)],[f501])).
% 0.13/0.36 fof(f504,plain,(
% 0.13/0.36 spl0_9 <=> nil=nil),
% 0.13/0.36 introduced(split_symbol_definition)).
% 0.13/0.36 fof(f507,plain,(
% 0.13/0.36 ~ssList(nil)|nil=nil|~ssList(nil)),
% 0.13/0.36 inference(resolution,[status(thm)],[f282,f257])).
% 0.13/0.36 fof(f508,plain,(
% 0.13/0.36 ~spl0_8|spl0_9),
% 0.13/0.36 inference(split_clause,[status(thm)],[f507,f501,f504])).
% 0.13/0.36 fof(f511,plain,(
% 0.13/0.36 $false|spl0_8),
% 0.13/0.36 inference(forward_subsumption_resolution,[status(thm)],[f503,f205])).
% 0.13/0.36 fof(f512,plain,(
% 0.13/0.36 spl0_8),
% 0.13/0.36 inference(contradiction_clause,[status(thm)],[f511])).
% 0.13/0.36 fof(f513,plain,(
% 0.13/0.36 spl0_10 <=> ~frontsegP(nil,X0)|~ssList(X0)|X0=nil|~ssList(X0)),
% 0.13/0.36 introduced(split_symbol_definition)).
% 0.13/0.36 fof(f516,plain,(
% 0.13/0.36 ![X0]: (~frontsegP(nil,X0)|~ssList(nil)|~ssList(X0)|X0=nil|~ssList(X0))),
% 0.13/0.36 inference(resolution,[status(thm)],[f339,f257])).
% 0.13/0.36 fof(f517,plain,(
% 0.13/0.36 spl0_10|~spl0_8),
% 0.13/0.36 inference(split_clause,[status(thm)],[f516,f513,f501])).
% 0.13/0.36 fof(f523,plain,(
% 0.13/0.36 nil=sk1|~spl0_7),
% 0.13/0.36 inference(forward_demodulation,[status(thm)],[f433,f466])).
% 0.13/0.36 fof(f526,plain,(
% 0.13/0.36 nil=sk2|~spl0_4),
% 0.13/0.36 inference(forward_demodulation,[status(thm)],[f432,f455])).
% 0.13/0.36 fof(f527,plain,(
% 0.13/0.36 $false|spl0_2|~spl0_4),
% 0.13/0.36 inference(forward_subsumption_resolution,[status(thm)],[f526,f449])).
% 0.13/0.36 fof(f528,plain,(
% 0.13/0.36 spl0_2|~spl0_4),
% 0.13/0.36 inference(contradiction_clause,[status(thm)],[f527])).
% 0.13/0.36 fof(f529,plain,(
% 0.13/0.36 frontsegP(sk2,sk3)|~spl0_6),
% 0.13/0.36 inference(forward_demodulation,[status(thm)],[f432,f462])).
% 0.13/0.36 fof(f537,plain,(
% 0.13/0.36 spl0_13 <=> ssList(sk2)),
% 0.13/0.36 introduced(split_symbol_definition)).
% 0.13/0.36 fof(f539,plain,(
% 0.13/0.36 ~ssList(sk2)|spl0_13),
% 0.13/0.36 inference(component_clause,[status(thm)],[f537])).
% 0.13/0.36 fof(f545,plain,(
% 0.13/0.36 $false|spl0_13),
% 0.13/0.36 inference(forward_subsumption_resolution,[status(thm)],[f539,f429])).
% 0.13/0.36 fof(f546,plain,(
% 0.13/0.36 spl0_13),
% 0.13/0.36 inference(contradiction_clause,[status(thm)],[f545])).
% 0.13/0.36 fof(f547,plain,(
% 0.13/0.36 $false|spl0_3|~spl0_7),
% 0.13/0.36 inference(forward_subsumption_resolution,[status(thm)],[f523,f452])).
% 0.13/0.36 fof(f548,plain,(
% 0.13/0.36 spl0_3|~spl0_7),
% 0.13/0.36 inference(contradiction_clause,[status(thm)],[f547])).
% 0.13/0.36 fof(f563,plain,(
% 0.13/0.36 neq(sk1,nil)|~spl0_5),
% 0.13/0.36 inference(backward_demodulation,[status(thm)],[f433,f458])).
% 0.13/0.36 fof(f564,plain,(
% 0.13/0.36 frontsegP(sk2,sk1)|~spl0_6),
% 0.13/0.36 inference(backward_demodulation,[status(thm)],[f433,f529])).
% 0.13/0.36 fof(f570,plain,(
% 0.13/0.36 spl0_16 <=> ssList(sk1)),
% 0.13/0.36 introduced(split_symbol_definition)).
% 0.13/0.36 fof(f572,plain,(
% 0.13/0.36 ~ssList(sk1)|spl0_16),
% 0.13/0.36 inference(component_clause,[status(thm)],[f570])).
% 0.13/0.36 fof(f578,plain,(
% 0.13/0.36 $false|spl0_16),
% 0.13/0.36 inference(forward_subsumption_resolution,[status(thm)],[f428,f572])).
% 0.13/0.36 fof(f579,plain,(
% 0.13/0.36 spl0_16),
% 0.13/0.36 inference(contradiction_clause,[status(thm)],[f578])).
% 0.13/0.36 fof(f581,plain,(
% 0.13/0.36 spl0_18 <=> frontsegP(sk2,sk1)),
% 0.13/0.36 introduced(split_symbol_definition)).
% 0.13/0.37 fof(f583,plain,(
% 0.13/0.37 ~frontsegP(sk2,sk1)|spl0_18),
% 0.13/0.37 inference(component_clause,[status(thm)],[f581])).
% 0.13/0.37 fof(f584,plain,(
% 0.13/0.37 spl0_19 <=> frontsegP(sk1,sk1)),
% 0.13/0.37 introduced(split_symbol_definition)).
% 0.13/0.37 fof(f586,plain,(
% 0.13/0.37 ~frontsegP(sk1,sk1)|spl0_19),
% 0.13/0.37 inference(component_clause,[status(thm)],[f584])).
% 0.13/0.37 fof(f587,plain,(
% 0.13/0.37 ~ssList(sk1)|~frontsegP(sk2,sk1)|~frontsegP(sk1,sk1)|~spl0_5),
% 0.13/0.37 inference(resolution,[status(thm)],[f434,f563])).
% 0.13/0.37 fof(f588,plain,(
% 0.13/0.37 ~spl0_16|~spl0_18|~spl0_19|~spl0_5),
% 0.13/0.37 inference(split_clause,[status(thm)],[f587,f570,f581,f584,f457])).
% 0.13/0.37 fof(f597,plain,(
% 0.13/0.37 spl0_22 <=> ~ssList(X0)|~frontsegP(sk2,X0)|~frontsegP(sk1,X0)|~ssList(X0)|X0=nil),
% 0.13/0.37 introduced(split_symbol_definition)).
% 0.13/0.37 fof(f600,plain,(
% 0.13/0.37 ![X0]: (~ssList(X0)|~frontsegP(sk2,X0)|~frontsegP(sk1,X0)|~ssList(nil)|~ssList(X0)|X0=nil)),
% 0.13/0.37 inference(resolution,[status(thm)],[f434,f300])).
% 0.13/0.37 fof(f601,plain,(
% 0.13/0.37 spl0_22|~spl0_8),
% 0.13/0.37 inference(split_clause,[status(thm)],[f600,f597,f501])).
% 0.13/0.37 fof(f602,plain,(
% 0.13/0.37 $false|~spl0_6|spl0_18),
% 0.13/0.37 inference(forward_subsumption_resolution,[status(thm)],[f583,f564])).
% 0.13/0.37 fof(f603,plain,(
% 0.13/0.37 ~spl0_6|spl0_18),
% 0.13/0.37 inference(contradiction_clause,[status(thm)],[f602])).
% 0.13/0.37 fof(f605,plain,(
% 0.13/0.37 ~ssList(sk1)|spl0_19),
% 0.13/0.37 inference(resolution,[status(thm)],[f586,f258])).
% 0.13/0.37 fof(f606,plain,(
% 0.13/0.37 ~spl0_16|spl0_19),
% 0.13/0.37 inference(split_clause,[status(thm)],[f605,f570,f584])).
% 0.13/0.37 fof(f607,plain,(
% 0.13/0.37 $false),
% 0.13/0.37 inference(sat_refutation,[status(thm)],[f453,f460,f464,f468,f469,f508,f512,f517,f528,f546,f548,f579,f588,f601,f603,f606])).
% 0.13/0.37 % SZS output end CNFRefutation for theBenchmark.p
% 0.13/0.37 % Elapsed time: 0.029898 seconds
% 0.13/0.37 % CPU time: 0.050359 seconds
% 0.13/0.37 % Memory used: 16.045 MB
%------------------------------------------------------------------------------