TSTP Solution File: SWC013-1 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : SWC013-1 : 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 : Tue Apr 30 20:44:09 EDT 2024
% Result : Unsatisfiable 0.12s 0.37s
% Output : CNFRefutation 0.12s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SWC013-1 : TPTP v8.1.2. Released v2.4.0.
% 0.07/0.14 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.12/0.35 % Computer : n028.cluster.edu
% 0.12/0.35 % Model : x86_64 x86_64
% 0.12/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.35 % Memory : 8042.1875MB
% 0.12/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.35 % CPULimit : 300
% 0.12/0.35 % WCLimit : 300
% 0.12/0.35 % DateTime : Tue Apr 30 00:23:29 EDT 2024
% 0.12/0.35 % CPUTime :
% 0.12/0.37 % Drodi V3.6.0
% 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/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.37 fof(f76,axiom,(
% 0.12/0.37 (![U]: (( ~ ssList(U)| ssItem(hd(U))| nil = U ) ))),
% 0.12/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.37 fof(f86,axiom,(
% 0.12/0.37 (![U,V]: (( ~ ssItem(U)| ~ ssList(V)| ssList(cons(U,V)) ) ))),
% 0.12/0.37 file('/export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.37 fof(f115,axiom,(
% 0.12/0.37 (![U,V]: (( U != V| ~ neq(U,V)| ~ ssList(V)| ~ ssList(U) ) ))),
% 0.12/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.37 fof(f186,negated_conjecture,(
% 0.12/0.37 ssList(sk1) ),
% 0.12/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.37 fof(f187,negated_conjecture,(
% 0.12/0.37 ssList(sk2) ),
% 0.12/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.37 fof(f190,negated_conjecture,(
% 0.12/0.37 sk2 = sk4 ),
% 0.12/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.37 fof(f191,negated_conjecture,(
% 0.12/0.37 sk1 = sk3 ),
% 0.12/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.37 fof(f192,negated_conjecture,(
% 0.12/0.37 ( neq(sk2,nil)| neq(sk2,nil) ) ),
% 0.12/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.37 fof(f196,negated_conjecture,(
% 0.12/0.37 (![A,B]: (( ~ ssList(A)| sk3 = A| ~ ssItem(B)| cons(B,nil) != A| hd(sk4) != B| ~ neq(nil,sk4)| ~ neq(sk4,nil) ) ))),
% 0.12/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.37 fof(f197,negated_conjecture,(
% 0.12/0.37 (![A,B]: (( ~ ssList(A)| sk1 != A| ~ ssItem(B)| cons(B,nil) != A| hd(sk2) != B| ~ neq(nil,sk2)| ~ neq(sk4,nil) ) ))),
% 0.12/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.37 fof(f205,plain,(
% 0.12/0.37 ssList(nil)),
% 0.12/0.37 inference(cnf_transformation,[status(esa)],[f8])).
% 0.12/0.37 fof(f274,plain,(
% 0.12/0.37 ![X0]: (~ssList(X0)|ssItem(hd(X0))|nil=X0)),
% 0.12/0.37 inference(cnf_transformation,[status(esa)],[f76])).
% 0.12/0.37 fof(f284,plain,(
% 0.12/0.37 ![X0,X1]: (~ssItem(X0)|~ssList(X1)|ssList(cons(X0,X1)))),
% 0.12/0.37 inference(cnf_transformation,[status(esa)],[f86])).
% 0.12/0.37 fof(f300,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(f318,plain,(
% 0.12/0.37 ![U]: ((![V]: ((~U=V|~neq(U,V))|~ssList(V)))|~ssList(U))),
% 0.12/0.37 inference(miniscoping,[status(esa)],[f115])).
% 0.12/0.37 fof(f319,plain,(
% 0.12/0.37 ![X0,X1]: (~X0=X1|~neq(X0,X1)|~ssList(X1)|~ssList(X0))),
% 0.12/0.37 inference(cnf_transformation,[status(esa)],[f318])).
% 0.12/0.37 fof(f428,plain,(
% 0.12/0.37 ssList(sk1)),
% 0.12/0.37 inference(cnf_transformation,[status(esa)],[f186])).
% 0.12/0.37 fof(f429,plain,(
% 0.12/0.37 ssList(sk2)),
% 0.12/0.37 inference(cnf_transformation,[status(esa)],[f187])).
% 0.12/0.37 fof(f432,plain,(
% 0.12/0.37 sk2=sk4),
% 0.12/0.37 inference(cnf_transformation,[status(esa)],[f190])).
% 0.12/0.37 fof(f433,plain,(
% 0.12/0.37 sk1=sk3),
% 0.12/0.37 inference(cnf_transformation,[status(esa)],[f191])).
% 0.12/0.37 fof(f434,plain,(
% 0.12/0.37 neq(sk2,nil)|neq(sk2,nil)),
% 0.12/0.37 inference(cnf_transformation,[status(esa)],[f192])).
% 0.12/0.37 fof(f440,plain,(
% 0.12/0.37 ((![B]: ((![A]: (((~ssList(A)|sk3=A)|~ssItem(B))|~cons(B,nil)=A))|~hd(sk4)=B))|~neq(nil,sk4))|~neq(sk4,nil)),
% 0.12/0.37 inference(miniscoping,[status(esa)],[f196])).
% 0.12/0.37 fof(f441,plain,(
% 0.12/0.37 ![X0,X1]: (~ssList(X0)|sk3=X0|~ssItem(X1)|~cons(X1,nil)=X0|~hd(sk4)=X1|~neq(nil,sk4)|~neq(sk4,nil))),
% 0.12/0.37 inference(cnf_transformation,[status(esa)],[f440])).
% 0.12/0.37 fof(f442,plain,(
% 0.12/0.37 ((![B]: ((![A]: (((~ssList(A)|~sk1=A)|~ssItem(B))|~cons(B,nil)=A))|~hd(sk2)=B))|~neq(nil,sk2))|~neq(sk4,nil)),
% 0.12/0.37 inference(miniscoping,[status(esa)],[f197])).
% 0.12/0.37 fof(f443,plain,(
% 0.12/0.37 ![X0,X1]: (~ssList(X0)|~sk1=X0|~ssItem(X1)|~cons(X1,nil)=X0|~hd(sk2)=X1|~neq(nil,sk2)|~neq(sk4,nil))),
% 0.12/0.37 inference(cnf_transformation,[status(esa)],[f442])).
% 0.12/0.37 fof(f451,plain,(
% 0.12/0.37 spl0_2 <=> neq(sk2,nil)),
% 0.12/0.37 introduced(split_symbol_definition)).
% 0.12/0.37 fof(f452,plain,(
% 0.12/0.37 neq(sk2,nil)|~spl0_2),
% 0.12/0.37 inference(component_clause,[status(thm)],[f451])).
% 0.12/0.37 fof(f454,plain,(
% 0.12/0.37 spl0_2),
% 0.12/0.37 inference(split_clause,[status(thm)],[f434,f451])).
% 0.12/0.37 fof(f455,plain,(
% 0.12/0.37 spl0_3 <=> neq(sk4,nil)),
% 0.12/0.37 introduced(split_symbol_definition)).
% 0.12/0.37 fof(f457,plain,(
% 0.12/0.37 ~neq(sk4,nil)|spl0_3),
% 0.12/0.37 inference(component_clause,[status(thm)],[f455])).
% 0.12/0.37 fof(f459,plain,(
% 0.12/0.37 spl0_4 <=> ~ssList(X0)|sk3=X0|~ssItem(X1)|~cons(X1,nil)=X0|~hd(sk4)=X1),
% 0.12/0.37 introduced(split_symbol_definition)).
% 0.12/0.37 fof(f460,plain,(
% 0.12/0.37 ![X0,X1]: (~ssList(X0)|sk3=X0|~ssItem(X1)|~cons(X1,nil)=X0|~hd(sk4)=X1|~spl0_4)),
% 0.12/0.37 inference(component_clause,[status(thm)],[f459])).
% 0.12/0.37 fof(f462,plain,(
% 0.12/0.37 spl0_5 <=> neq(nil,sk4)),
% 0.12/0.37 introduced(split_symbol_definition)).
% 0.12/0.37 fof(f464,plain,(
% 0.12/0.37 ~neq(nil,sk4)|spl0_5),
% 0.12/0.37 inference(component_clause,[status(thm)],[f462])).
% 0.12/0.37 fof(f466,plain,(
% 0.12/0.37 spl0_6 <=> ~ssList(X0)|~sk1=X0|~ssItem(X1)|~cons(X1,nil)=X0|~hd(sk2)=X1),
% 0.12/0.37 introduced(split_symbol_definition)).
% 0.12/0.37 fof(f467,plain,(
% 0.12/0.37 ![X0,X1]: (~ssList(X0)|~sk1=X0|~ssItem(X1)|~cons(X1,nil)=X0|~hd(sk2)=X1|~spl0_6)),
% 0.12/0.37 inference(component_clause,[status(thm)],[f466])).
% 0.12/0.37 fof(f469,plain,(
% 0.12/0.37 spl0_7 <=> neq(nil,sk2)),
% 0.12/0.37 introduced(split_symbol_definition)).
% 0.12/0.37 fof(f471,plain,(
% 0.12/0.37 ~neq(nil,sk2)|spl0_7),
% 0.12/0.37 inference(component_clause,[status(thm)],[f469])).
% 0.12/0.37 fof(f473,plain,(
% 0.12/0.37 spl0_4|~spl0_5|~spl0_3),
% 0.12/0.37 inference(split_clause,[status(thm)],[f441,f459,f462,f455])).
% 0.12/0.37 fof(f474,plain,(
% 0.12/0.37 spl0_6|~spl0_7|~spl0_3),
% 0.12/0.37 inference(split_clause,[status(thm)],[f443,f466,f469,f455])).
% 0.12/0.37 fof(f482,plain,(
% 0.12/0.37 ![X1]: (~neq(X1,X1)|~ssList(X1)|~ssList(X1))),
% 0.12/0.37 inference(destructive_equality_resolution,[status(esa)],[f319])).
% 0.12/0.37 fof(f483,plain,(
% 0.12/0.37 ![X0]: (~neq(X0,X0)|~ssList(X0))),
% 0.12/0.37 inference(duplicate_literals_removal,[status(esa)],[f482])).
% 0.12/0.37 fof(f524,plain,(
% 0.12/0.37 spl0_11 <=> nil=sk2),
% 0.12/0.37 introduced(split_symbol_definition)).
% 0.12/0.37 fof(f525,plain,(
% 0.12/0.37 nil=sk2|~spl0_11),
% 0.12/0.37 inference(component_clause,[status(thm)],[f524])).
% 0.12/0.37 fof(f566,plain,(
% 0.12/0.37 ~neq(sk2,nil)|spl0_3),
% 0.12/0.37 inference(forward_demodulation,[status(thm)],[f432,f457])).
% 0.12/0.37 fof(f567,plain,(
% 0.12/0.37 spl0_14 <=> ssList(nil)),
% 0.12/0.37 introduced(split_symbol_definition)).
% 0.12/0.37 fof(f569,plain,(
% 0.12/0.37 ~ssList(nil)|spl0_14),
% 0.12/0.37 inference(component_clause,[status(thm)],[f567])).
% 0.12/0.37 fof(f570,plain,(
% 0.12/0.37 spl0_15 <=> ssList(sk2)),
% 0.12/0.37 introduced(split_symbol_definition)).
% 0.12/0.37 fof(f572,plain,(
% 0.12/0.37 ~ssList(sk2)|spl0_15),
% 0.12/0.37 inference(component_clause,[status(thm)],[f570])).
% 0.12/0.37 fof(f573,plain,(
% 0.12/0.37 ~ssList(nil)|~ssList(sk2)|sk2=nil|spl0_3),
% 0.12/0.37 inference(resolution,[status(thm)],[f566,f300])).
% 0.12/0.37 fof(f574,plain,(
% 0.12/0.37 ~spl0_14|~spl0_15|spl0_11|spl0_3),
% 0.12/0.37 inference(split_clause,[status(thm)],[f573,f567,f570,f524,f455])).
% 0.12/0.37 fof(f575,plain,(
% 0.12/0.37 $false|spl0_15),
% 0.12/0.37 inference(forward_subsumption_resolution,[status(thm)],[f572,f429])).
% 0.12/0.37 fof(f576,plain,(
% 0.12/0.37 spl0_15),
% 0.12/0.37 inference(contradiction_clause,[status(thm)],[f575])).
% 0.12/0.37 fof(f577,plain,(
% 0.12/0.37 $false|spl0_14),
% 0.12/0.37 inference(forward_subsumption_resolution,[status(thm)],[f569,f205])).
% 0.12/0.37 fof(f578,plain,(
% 0.12/0.37 spl0_14),
% 0.12/0.37 inference(contradiction_clause,[status(thm)],[f577])).
% 0.12/0.37 fof(f579,plain,(
% 0.12/0.37 ~neq(nil,sk2)|spl0_5),
% 0.12/0.37 inference(forward_demodulation,[status(thm)],[f432,f464])).
% 0.12/0.37 fof(f583,plain,(
% 0.12/0.37 neq(nil,nil)|~spl0_11|~spl0_2),
% 0.12/0.37 inference(forward_demodulation,[status(thm)],[f525,f452])).
% 0.12/0.37 fof(f584,plain,(
% 0.12/0.37 ~ssList(nil)|~spl0_11|~spl0_2),
% 0.12/0.37 inference(resolution,[status(thm)],[f583,f483])).
% 0.12/0.37 fof(f585,plain,(
% 0.12/0.37 ~spl0_14|~spl0_11|~spl0_2),
% 0.12/0.37 inference(split_clause,[status(thm)],[f584,f567,f524,f451])).
% 0.12/0.37 fof(f586,plain,(
% 0.12/0.37 ~ssList(sk2)|~ssList(nil)|nil=sk2|spl0_7),
% 0.12/0.37 inference(resolution,[status(thm)],[f471,f300])).
% 0.12/0.37 fof(f587,plain,(
% 0.12/0.37 ~spl0_15|~spl0_14|spl0_11|spl0_7),
% 0.12/0.37 inference(split_clause,[status(thm)],[f586,f570,f567,f524,f469])).
% 0.12/0.37 fof(f588,plain,(
% 0.12/0.37 ~ssList(sk1)|~ssItem(hd(sk2))|~cons(hd(sk2),nil)=sk1|~spl0_6),
% 0.12/0.37 inference(destructive_equality_resolution,[status(esa)],[f467])).
% 0.12/0.37 fof(f589,plain,(
% 0.12/0.37 ~ssItem(hd(sk2))|~cons(hd(sk2),nil)=sk1|~spl0_6),
% 0.12/0.37 inference(forward_subsumption_resolution,[status(thm)],[f588,f428])).
% 0.12/0.37 fof(f590,plain,(
% 0.12/0.37 ~ssList(sk2)|~ssList(nil)|nil=sk2|spl0_5),
% 0.12/0.37 inference(resolution,[status(thm)],[f579,f300])).
% 0.12/0.37 fof(f591,plain,(
% 0.12/0.37 ~spl0_15|~spl0_14|spl0_11|spl0_5),
% 0.12/0.37 inference(split_clause,[status(thm)],[f590,f570,f567,f524,f462])).
% 0.12/0.37 fof(f592,plain,(
% 0.12/0.37 ![X0,X1]: (~ssList(X0)|sk1=X0|~ssItem(X1)|~cons(X1,nil)=X0|~hd(sk4)=X1|~spl0_4)),
% 0.12/0.37 inference(forward_demodulation,[status(thm)],[f433,f460])).
% 0.12/0.37 fof(f593,plain,(
% 0.12/0.37 ~ssList(cons(hd(sk4),nil))|sk1=cons(hd(sk4),nil)|~ssItem(hd(sk4))|~spl0_4),
% 0.12/0.37 inference(destructive_equality_resolution,[status(esa)],[f592])).
% 0.12/0.37 fof(f621,plain,(
% 0.12/0.37 spl0_20 <=> ssItem(hd(sk2))),
% 0.12/0.37 introduced(split_symbol_definition)).
% 0.12/0.37 fof(f623,plain,(
% 0.12/0.37 ~ssItem(hd(sk2))|spl0_20),
% 0.12/0.37 inference(component_clause,[status(thm)],[f621])).
% 0.12/0.37 fof(f624,plain,(
% 0.12/0.37 spl0_21 <=> cons(hd(sk2),nil)=sk1),
% 0.12/0.37 introduced(split_symbol_definition)).
% 0.12/0.37 fof(f626,plain,(
% 0.12/0.37 ~cons(hd(sk2),nil)=sk1|spl0_21),
% 0.12/0.37 inference(component_clause,[status(thm)],[f624])).
% 0.12/0.37 fof(f627,plain,(
% 0.12/0.37 ~spl0_20|~spl0_21|~spl0_6),
% 0.12/0.37 inference(split_clause,[status(thm)],[f589,f621,f624,f466])).
% 0.12/0.37 fof(f628,plain,(
% 0.12/0.37 spl0_22 <=> ssList(cons(hd(sk4),nil))),
% 0.12/0.37 introduced(split_symbol_definition)).
% 0.12/0.37 fof(f630,plain,(
% 0.12/0.37 ~ssList(cons(hd(sk4),nil))|spl0_22),
% 0.12/0.37 inference(component_clause,[status(thm)],[f628])).
% 0.12/0.37 fof(f631,plain,(
% 0.12/0.37 spl0_23 <=> sk1=cons(hd(sk4),nil)),
% 0.12/0.37 introduced(split_symbol_definition)).
% 0.12/0.37 fof(f632,plain,(
% 0.12/0.37 sk1=cons(hd(sk4),nil)|~spl0_23),
% 0.12/0.37 inference(component_clause,[status(thm)],[f631])).
% 0.12/0.37 fof(f648,plain,(
% 0.12/0.37 ~ssList(sk2)|nil=sk2|spl0_20),
% 0.12/0.37 inference(resolution,[status(thm)],[f623,f274])).
% 0.12/0.37 fof(f649,plain,(
% 0.12/0.37 ~spl0_15|spl0_11|spl0_20),
% 0.12/0.37 inference(split_clause,[status(thm)],[f648,f570,f524,f621])).
% 0.12/0.37 fof(f655,plain,(
% 0.12/0.37 spl0_26 <=> ssItem(hd(sk4))),
% 0.12/0.37 introduced(split_symbol_definition)).
% 0.12/0.37 fof(f657,plain,(
% 0.12/0.37 ~ssItem(hd(sk4))|spl0_26),
% 0.12/0.37 inference(component_clause,[status(thm)],[f655])).
% 0.12/0.37 fof(f658,plain,(
% 0.12/0.37 ~ssItem(hd(sk4))|~ssList(nil)|spl0_22),
% 0.12/0.37 inference(resolution,[status(thm)],[f630,f284])).
% 0.12/0.37 fof(f659,plain,(
% 0.12/0.37 ~spl0_26|~spl0_14|spl0_22),
% 0.12/0.37 inference(split_clause,[status(thm)],[f658,f655,f567,f628])).
% 0.12/0.37 fof(f660,plain,(
% 0.12/0.37 ~spl0_22|spl0_23|~spl0_26|~spl0_4),
% 0.12/0.37 inference(split_clause,[status(thm)],[f593,f628,f631,f655,f459])).
% 0.12/0.37 fof(f689,plain,(
% 0.12/0.37 ~ssItem(hd(sk2))|spl0_26),
% 0.12/0.37 inference(backward_demodulation,[status(thm)],[f432,f657])).
% 0.12/0.37 fof(f690,plain,(
% 0.12/0.37 ~spl0_20|spl0_26),
% 0.12/0.37 inference(split_clause,[status(thm)],[f689,f621,f655])).
% 0.12/0.37 fof(f693,plain,(
% 0.12/0.37 sk1=cons(hd(sk2),nil)|~spl0_23),
% 0.12/0.37 inference(forward_demodulation,[status(thm)],[f432,f632])).
% 0.12/0.37 fof(f694,plain,(
% 0.12/0.37 $false|spl0_21|~spl0_23),
% 0.12/0.37 inference(forward_subsumption_resolution,[status(thm)],[f693,f626])).
% 0.12/0.37 fof(f695,plain,(
% 0.12/0.37 spl0_21|~spl0_23),
% 0.12/0.37 inference(contradiction_clause,[status(thm)],[f694])).
% 0.12/0.37 fof(f696,plain,(
% 0.12/0.37 $false),
% 0.12/0.37 inference(sat_refutation,[status(thm)],[f454,f473,f474,f574,f576,f578,f585,f587,f591,f627,f649,f659,f660,f690,f695])).
% 0.12/0.37 % SZS output end CNFRefutation for theBenchmark.p
% 0.12/0.38 % Elapsed time: 0.026224 seconds
% 0.12/0.38 % CPU time: 0.046432 seconds
% 0.12/0.38 % Total memory used: 16.559 MB
% 0.12/0.38 % Net memory used: 16.519 MB
%------------------------------------------------------------------------------