TSTP Solution File: SWC049-1 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : SWC049-1 : TPTP v8.1.2. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n015.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 20:44:19 EDT 2024
% Result : Unsatisfiable 0.15s 0.33s
% Output : CNFRefutation 0.15s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : SWC049-1 : TPTP v8.1.2. Released v2.4.0.
% 0.10/0.11 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.10/0.31 % Computer : n015.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 Apr 30 00:28:17 EDT 2024
% 0.15/0.31 % CPUTime :
% 0.15/0.33 % Drodi V3.6.0
% 0.15/0.33 % Refutation found
% 0.15/0.33 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.15/0.33 % SZS output start CNFRefutation for theBenchmark
% 0.15/0.33 fof(f8,axiom,(
% 0.15/0.33 ssList(nil) ),
% 0.15/0.33 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.33 fof(f58,axiom,(
% 0.15/0.33 (![U]: (( ~ ssList(U)| rearsegP(U,nil) ) ))),
% 0.15/0.33 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.33 fof(f59,axiom,(
% 0.15/0.33 (![U]: (( ~ ssList(U)| rearsegP(U,U) ) ))),
% 0.15/0.33 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.33 fof(f82,axiom,(
% 0.15/0.33 (![U]: (( ~ rearsegP(nil,U)| ~ ssList(U)| nil = U ) ))),
% 0.15/0.33 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.33 fof(f100,axiom,(
% 0.15/0.33 (![U,V]: (( ~ ssList(U)| ~ ssList(V)| neq(V,U)| V = U ) ))),
% 0.15/0.33 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.33 fof(f128,axiom,(
% 0.15/0.33 (![U,V]: (( ~ rearsegP(U,V)| ~ rearsegP(V,U)| ~ ssList(U)| ~ ssList(V)| V = U ) ))),
% 0.15/0.33 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.33 fof(f186,negated_conjecture,(
% 0.15/0.33 ssList(sk1) ),
% 0.15/0.33 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.33 fof(f187,negated_conjecture,(
% 0.15/0.33 ssList(sk2) ),
% 0.15/0.33 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.33 fof(f190,negated_conjecture,(
% 0.15/0.33 sk2 = sk4 ),
% 0.15/0.33 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.33 fof(f191,negated_conjecture,(
% 0.15/0.33 sk1 = sk3 ),
% 0.15/0.33 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.33 fof(f192,negated_conjecture,(
% 0.15/0.33 (![A]: (( ~ ssList(A)| ~ neq(A,nil)| ~ rearsegP(sk2,A)| ~ rearsegP(sk1,A) ) ))),
% 0.15/0.33 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.33 fof(f193,negated_conjecture,(
% 0.15/0.33 ( nil = sk3| nil != sk4 ) ),
% 0.15/0.33 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.33 fof(f194,negated_conjecture,(
% 0.15/0.33 ( nil != sk2| nil != sk1 ) ),
% 0.15/0.33 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.33 fof(f195,negated_conjecture,(
% 0.15/0.33 ( ~ neq(sk4,nil)| neq(sk3,nil) ) ),
% 0.15/0.33 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.33 fof(f196,negated_conjecture,(
% 0.15/0.33 ( ~ neq(sk4,nil)| rearsegP(sk4,sk3) ) ),
% 0.15/0.33 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.33 fof(f204,plain,(
% 0.15/0.33 ssList(nil)),
% 0.15/0.33 inference(cnf_transformation,[status(esa)],[f8])).
% 0.15/0.33 fof(f254,plain,(
% 0.15/0.33 ![X0]: (~ssList(X0)|rearsegP(X0,nil))),
% 0.15/0.33 inference(cnf_transformation,[status(esa)],[f58])).
% 0.15/0.33 fof(f255,plain,(
% 0.15/0.33 ![X0]: (~ssList(X0)|rearsegP(X0,X0))),
% 0.15/0.33 inference(cnf_transformation,[status(esa)],[f59])).
% 0.15/0.33 fof(f279,plain,(
% 0.15/0.33 ![X0]: (~rearsegP(nil,X0)|~ssList(X0)|nil=X0)),
% 0.15/0.33 inference(cnf_transformation,[status(esa)],[f82])).
% 0.15/0.33 fof(f299,plain,(
% 0.15/0.33 ![X0,X1]: (~ssList(X0)|~ssList(X1)|neq(X1,X0)|X1=X0)),
% 0.15/0.33 inference(cnf_transformation,[status(esa)],[f100])).
% 0.15/0.33 fof(f337,plain,(
% 0.15/0.33 ![X0,X1]: (~rearsegP(X0,X1)|~rearsegP(X1,X0)|~ssList(X0)|~ssList(X1)|X1=X0)),
% 0.15/0.33 inference(cnf_transformation,[status(esa)],[f128])).
% 0.15/0.33 fof(f427,plain,(
% 0.15/0.33 ssList(sk1)),
% 0.15/0.33 inference(cnf_transformation,[status(esa)],[f186])).
% 0.15/0.33 fof(f428,plain,(
% 0.15/0.33 ssList(sk2)),
% 0.15/0.33 inference(cnf_transformation,[status(esa)],[f187])).
% 0.15/0.33 fof(f431,plain,(
% 0.15/0.33 sk2=sk4),
% 0.15/0.33 inference(cnf_transformation,[status(esa)],[f190])).
% 0.15/0.33 fof(f432,plain,(
% 0.15/0.33 sk1=sk3),
% 0.15/0.33 inference(cnf_transformation,[status(esa)],[f191])).
% 0.15/0.33 fof(f433,plain,(
% 0.15/0.33 ![X0]: (~ssList(X0)|~neq(X0,nil)|~rearsegP(sk2,X0)|~rearsegP(sk1,X0))),
% 0.15/0.33 inference(cnf_transformation,[status(esa)],[f192])).
% 0.15/0.33 fof(f434,plain,(
% 0.15/0.33 nil=sk3|~nil=sk4),
% 0.15/0.33 inference(cnf_transformation,[status(esa)],[f193])).
% 0.15/0.33 fof(f435,plain,(
% 0.15/0.33 ~nil=sk2|~nil=sk1),
% 0.15/0.33 inference(cnf_transformation,[status(esa)],[f194])).
% 0.15/0.33 fof(f436,plain,(
% 0.15/0.33 ~neq(sk4,nil)|neq(sk3,nil)),
% 0.15/0.33 inference(cnf_transformation,[status(esa)],[f195])).
% 0.15/0.33 fof(f437,plain,(
% 0.15/0.33 ~neq(sk4,nil)|rearsegP(sk4,sk3)),
% 0.15/0.33 inference(cnf_transformation,[status(esa)],[f196])).
% 0.15/0.33 fof(f445,plain,(
% 0.15/0.33 spl0_2 <=> nil=sk3),
% 0.15/0.33 introduced(split_symbol_definition)).
% 0.15/0.33 fof(f446,plain,(
% 0.15/0.33 nil=sk3|~spl0_2),
% 0.15/0.33 inference(component_clause,[status(thm)],[f445])).
% 0.15/0.33 fof(f448,plain,(
% 0.15/0.33 spl0_3 <=> nil=sk4),
% 0.15/0.33 introduced(split_symbol_definition)).
% 0.15/0.33 fof(f450,plain,(
% 0.15/0.33 ~nil=sk4|spl0_3),
% 0.15/0.33 inference(component_clause,[status(thm)],[f448])).
% 0.15/0.33 fof(f451,plain,(
% 0.15/0.33 spl0_2|~spl0_3),
% 0.15/0.33 inference(split_clause,[status(thm)],[f434,f445,f448])).
% 0.15/0.33 fof(f452,plain,(
% 0.15/0.33 spl0_4 <=> nil=sk2),
% 0.15/0.33 introduced(split_symbol_definition)).
% 0.15/0.33 fof(f453,plain,(
% 0.15/0.33 nil=sk2|~spl0_4),
% 0.15/0.33 inference(component_clause,[status(thm)],[f452])).
% 0.15/0.33 fof(f455,plain,(
% 0.15/0.33 spl0_5 <=> nil=sk1),
% 0.15/0.33 introduced(split_symbol_definition)).
% 0.15/0.33 fof(f457,plain,(
% 0.15/0.33 ~nil=sk1|spl0_5),
% 0.15/0.33 inference(component_clause,[status(thm)],[f455])).
% 0.15/0.33 fof(f458,plain,(
% 0.15/0.33 ~spl0_4|~spl0_5),
% 0.15/0.33 inference(split_clause,[status(thm)],[f435,f452,f455])).
% 0.15/0.33 fof(f459,plain,(
% 0.15/0.33 spl0_6 <=> neq(sk4,nil)),
% 0.15/0.33 introduced(split_symbol_definition)).
% 0.15/0.33 fof(f461,plain,(
% 0.15/0.33 ~neq(sk4,nil)|spl0_6),
% 0.15/0.33 inference(component_clause,[status(thm)],[f459])).
% 0.15/0.33 fof(f462,plain,(
% 0.15/0.33 spl0_7 <=> neq(sk3,nil)),
% 0.15/0.33 introduced(split_symbol_definition)).
% 0.15/0.33 fof(f463,plain,(
% 0.15/0.33 neq(sk3,nil)|~spl0_7),
% 0.15/0.33 inference(component_clause,[status(thm)],[f462])).
% 0.15/0.33 fof(f465,plain,(
% 0.15/0.33 ~spl0_6|spl0_7),
% 0.15/0.33 inference(split_clause,[status(thm)],[f436,f459,f462])).
% 0.15/0.33 fof(f466,plain,(
% 0.15/0.33 spl0_8 <=> rearsegP(sk4,sk3)),
% 0.15/0.33 introduced(split_symbol_definition)).
% 0.15/0.33 fof(f467,plain,(
% 0.15/0.33 rearsegP(sk4,sk3)|~spl0_8),
% 0.15/0.33 inference(component_clause,[status(thm)],[f466])).
% 0.15/0.33 fof(f469,plain,(
% 0.15/0.33 ~spl0_6|spl0_8),
% 0.15/0.33 inference(split_clause,[status(thm)],[f437,f459,f466])).
% 0.15/0.33 fof(f501,plain,(
% 0.15/0.33 spl0_9 <=> ssList(nil)),
% 0.15/0.33 introduced(split_symbol_definition)).
% 0.15/0.33 fof(f503,plain,(
% 0.15/0.33 ~ssList(nil)|spl0_9),
% 0.15/0.33 inference(component_clause,[status(thm)],[f501])).
% 0.15/0.33 fof(f504,plain,(
% 0.15/0.33 spl0_10 <=> nil=nil),
% 0.15/0.33 introduced(split_symbol_definition)).
% 0.15/0.33 fof(f507,plain,(
% 0.15/0.33 ~ssList(nil)|nil=nil|~ssList(nil)),
% 0.15/0.33 inference(resolution,[status(thm)],[f279,f254])).
% 0.15/0.33 fof(f508,plain,(
% 0.15/0.33 ~spl0_9|spl0_10),
% 0.15/0.33 inference(split_clause,[status(thm)],[f507,f501,f504])).
% 0.15/0.33 fof(f511,plain,(
% 0.15/0.33 $false|spl0_9),
% 0.15/0.33 inference(forward_subsumption_resolution,[status(thm)],[f503,f204])).
% 0.15/0.33 fof(f512,plain,(
% 0.15/0.33 spl0_9),
% 0.15/0.33 inference(contradiction_clause,[status(thm)],[f511])).
% 0.15/0.33 fof(f513,plain,(
% 0.15/0.33 spl0_11 <=> ~rearsegP(nil,X0)|~ssList(X0)|X0=nil|~ssList(X0)),
% 0.15/0.33 introduced(split_symbol_definition)).
% 0.15/0.33 fof(f516,plain,(
% 0.15/0.33 ![X0]: (~rearsegP(nil,X0)|~ssList(nil)|~ssList(X0)|X0=nil|~ssList(X0))),
% 0.15/0.33 inference(resolution,[status(thm)],[f337,f254])).
% 0.15/0.33 fof(f517,plain,(
% 0.15/0.33 spl0_11|~spl0_9),
% 0.15/0.33 inference(split_clause,[status(thm)],[f516,f513,f501])).
% 0.15/0.33 fof(f536,plain,(
% 0.15/0.33 ~neq(sk2,nil)|spl0_6),
% 0.15/0.33 inference(forward_demodulation,[status(thm)],[f431,f461])).
% 0.15/0.33 fof(f537,plain,(
% 0.15/0.33 spl0_12 <=> ssList(sk2)),
% 0.15/0.33 introduced(split_symbol_definition)).
% 0.15/0.33 fof(f539,plain,(
% 0.15/0.33 ~ssList(sk2)|spl0_12),
% 0.15/0.33 inference(component_clause,[status(thm)],[f537])).
% 0.15/0.33 fof(f540,plain,(
% 0.15/0.33 ~ssList(nil)|~ssList(sk2)|sk2=nil|spl0_6),
% 0.15/0.33 inference(resolution,[status(thm)],[f536,f299])).
% 0.15/0.33 fof(f541,plain,(
% 0.15/0.33 ~spl0_9|~spl0_12|spl0_4|spl0_6),
% 0.15/0.33 inference(split_clause,[status(thm)],[f540,f501,f537,f452,f459])).
% 0.15/0.33 fof(f542,plain,(
% 0.15/0.33 $false|spl0_12),
% 0.15/0.33 inference(forward_subsumption_resolution,[status(thm)],[f539,f428])).
% 0.15/0.33 fof(f543,plain,(
% 0.15/0.33 spl0_12),
% 0.15/0.33 inference(contradiction_clause,[status(thm)],[f542])).
% 0.15/0.33 fof(f544,plain,(
% 0.15/0.33 ~nil=sk2|spl0_3),
% 0.15/0.33 inference(forward_demodulation,[status(thm)],[f431,f450])).
% 0.15/0.33 fof(f545,plain,(
% 0.15/0.33 neq(sk1,nil)|~spl0_7),
% 0.15/0.33 inference(forward_demodulation,[status(thm)],[f432,f463])).
% 0.15/0.33 fof(f546,plain,(
% 0.15/0.33 rearsegP(sk2,sk3)|~spl0_8),
% 0.15/0.33 inference(forward_demodulation,[status(thm)],[f431,f467])).
% 0.15/0.33 fof(f547,plain,(
% 0.15/0.33 rearsegP(sk2,sk1)|~spl0_8),
% 0.15/0.33 inference(forward_demodulation,[status(thm)],[f432,f546])).
% 0.15/0.33 fof(f552,plain,(
% 0.15/0.33 spl0_14 <=> ssList(sk1)),
% 0.15/0.33 introduced(split_symbol_definition)).
% 0.15/0.33 fof(f554,plain,(
% 0.15/0.33 ~ssList(sk1)|spl0_14),
% 0.15/0.33 inference(component_clause,[status(thm)],[f552])).
% 0.15/0.33 fof(f560,plain,(
% 0.15/0.33 $false|spl0_14),
% 0.15/0.33 inference(forward_subsumption_resolution,[status(thm)],[f554,f427])).
% 0.15/0.33 fof(f561,plain,(
% 0.15/0.33 spl0_14),
% 0.15/0.33 inference(contradiction_clause,[status(thm)],[f560])).
% 0.15/0.33 fof(f577,plain,(
% 0.15/0.33 spl0_18 <=> neq(sk1,nil)),
% 0.15/0.33 introduced(split_symbol_definition)).
% 0.15/0.33 fof(f579,plain,(
% 0.15/0.33 ~neq(sk1,nil)|spl0_18),
% 0.15/0.33 inference(component_clause,[status(thm)],[f577])).
% 0.15/0.33 fof(f580,plain,(
% 0.15/0.33 spl0_19 <=> rearsegP(sk2,sk1)),
% 0.15/0.33 introduced(split_symbol_definition)).
% 0.15/0.33 fof(f582,plain,(
% 0.15/0.33 ~rearsegP(sk2,sk1)|spl0_19),
% 0.15/0.33 inference(component_clause,[status(thm)],[f580])).
% 0.15/0.33 fof(f583,plain,(
% 0.15/0.33 ~ssList(sk1)|~neq(sk1,nil)|~rearsegP(sk2,sk1)|~ssList(sk1)),
% 0.15/0.33 inference(resolution,[status(thm)],[f433,f255])).
% 0.15/0.33 fof(f584,plain,(
% 0.15/0.33 ~spl0_14|~spl0_18|~spl0_19),
% 0.15/0.33 inference(split_clause,[status(thm)],[f583,f552,f577,f580])).
% 0.15/0.33 fof(f585,plain,(
% 0.15/0.33 $false|~spl0_7|spl0_18),
% 0.15/0.33 inference(forward_subsumption_resolution,[status(thm)],[f579,f545])).
% 0.15/0.33 fof(f586,plain,(
% 0.15/0.33 ~spl0_7|spl0_18),
% 0.15/0.33 inference(contradiction_clause,[status(thm)],[f585])).
% 0.15/0.33 fof(f587,plain,(
% 0.15/0.33 $false|~spl0_8|spl0_19),
% 0.15/0.33 inference(forward_subsumption_resolution,[status(thm)],[f582,f547])).
% 0.15/0.33 fof(f588,plain,(
% 0.15/0.33 ~spl0_8|spl0_19),
% 0.15/0.33 inference(contradiction_clause,[status(thm)],[f587])).
% 0.15/0.33 fof(f591,plain,(
% 0.15/0.33 $false|spl0_3|~spl0_4),
% 0.15/0.33 inference(forward_subsumption_resolution,[status(thm)],[f453,f544])).
% 0.15/0.33 fof(f592,plain,(
% 0.15/0.33 spl0_3|~spl0_4),
% 0.15/0.33 inference(contradiction_clause,[status(thm)],[f591])).
% 0.15/0.33 fof(f594,plain,(
% 0.15/0.33 nil=sk1|~spl0_2),
% 0.15/0.33 inference(forward_demodulation,[status(thm)],[f432,f446])).
% 0.15/0.33 fof(f595,plain,(
% 0.15/0.33 $false|spl0_5|~spl0_2),
% 0.15/0.33 inference(forward_subsumption_resolution,[status(thm)],[f594,f457])).
% 0.15/0.33 fof(f596,plain,(
% 0.15/0.33 spl0_5|~spl0_2),
% 0.15/0.33 inference(contradiction_clause,[status(thm)],[f595])).
% 0.15/0.33 fof(f597,plain,(
% 0.15/0.33 $false),
% 0.15/0.33 inference(sat_refutation,[status(thm)],[f451,f458,f465,f469,f508,f512,f517,f541,f543,f561,f584,f586,f588,f592,f596])).
% 0.15/0.33 % SZS output end CNFRefutation for theBenchmark.p
% 0.15/0.34 % Elapsed time: 0.024163 seconds
% 0.15/0.34 % CPU time: 0.036623 seconds
% 0.15/0.34 % Total memory used: 14.350 MB
% 0.15/0.34 % Net memory used: 14.329 MB
%------------------------------------------------------------------------------