TSTP Solution File: SWC422-1 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : SWC422-1 : TPTP v8.1.2. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n023.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 12:40:24 EDT 2023
% Result : Unsatisfiable 0.10s 0.34s
% Output : CNFRefutation 0.15s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.12 % Problem : SWC422-1 : TPTP v8.1.2. Released v2.4.0.
% 0.05/0.12 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.10/0.32 % Computer : n023.cluster.edu
% 0.10/0.32 % Model : x86_64 x86_64
% 0.10/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.32 % Memory : 8042.1875MB
% 0.10/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.32 % CPULimit : 300
% 0.10/0.32 % WCLimit : 300
% 0.10/0.32 % DateTime : Tue May 30 11:41:53 EDT 2023
% 0.10/0.32 % CPUTime :
% 0.10/0.33 % Drodi V3.5.1
% 0.10/0.34 % Refutation found
% 0.10/0.34 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.10/0.34 % SZS output start CNFRefutation for theBenchmark
% 0.10/0.34 fof(f8,axiom,(
% 0.10/0.34 ssList(nil) ),
% 0.10/0.34 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.34 fof(f187,negated_conjecture,(
% 0.10/0.34 ssList(sk2) ),
% 0.10/0.34 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.34 fof(f190,negated_conjecture,(
% 0.10/0.34 sk2 = sk4 ),
% 0.10/0.34 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.34 fof(f191,negated_conjecture,(
% 0.10/0.34 sk1 = sk3 ),
% 0.10/0.34 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.34 fof(f192,negated_conjecture,(
% 0.10/0.34 ( neq(sk2,nil)| neq(sk2,nil) ) ),
% 0.10/0.34 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.34 fof(f200,negated_conjecture,(
% 0.10/0.34 (![A,B,C]: (( ~ ssItem(A)| ~ ssList(B)| ~ ssList(C)| app(app(B,cons(A,nil)),C) != sk2| app(app(C,cons(A,nil)),B) != sk1| ~ neq(sk4,nil) ) ))),
% 0.10/0.34 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.34 fof(f201,negated_conjecture,(
% 0.10/0.34 ( ssItem(sk5)| ~ neq(sk4,nil) ) ),
% 0.10/0.34 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.34 fof(f202,negated_conjecture,(
% 0.10/0.34 ( ssList(sk6)| ~ neq(sk4,nil) ) ),
% 0.10/0.34 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.34 fof(f203,negated_conjecture,(
% 0.10/0.34 ( ssList(sk7)| ~ neq(sk4,nil) ) ),
% 0.10/0.34 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.34 fof(f204,negated_conjecture,(
% 0.10/0.34 ( app(app(sk6,cons(sk5,nil)),sk7) = sk4| ~ neq(sk4,nil) ) ),
% 0.10/0.34 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.34 fof(f205,negated_conjecture,(
% 0.10/0.34 ( app(app(sk7,cons(sk5,nil)),sk6) = sk3| ~ neq(sk4,nil) ) ),
% 0.10/0.34 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.34 fof(f213,plain,(
% 0.10/0.34 ssList(nil)),
% 0.10/0.34 inference(cnf_transformation,[status(esa)],[f8])).
% 0.10/0.34 fof(f437,plain,(
% 0.10/0.34 ssList(sk2)),
% 0.10/0.34 inference(cnf_transformation,[status(esa)],[f187])).
% 0.10/0.34 fof(f440,plain,(
% 0.10/0.34 sk2=sk4),
% 0.10/0.34 inference(cnf_transformation,[status(esa)],[f190])).
% 0.10/0.34 fof(f441,plain,(
% 0.10/0.34 sk1=sk3),
% 0.10/0.34 inference(cnf_transformation,[status(esa)],[f191])).
% 0.10/0.34 fof(f442,plain,(
% 0.10/0.34 neq(sk2,nil)|neq(sk2,nil)),
% 0.10/0.34 inference(cnf_transformation,[status(esa)],[f192])).
% 0.10/0.34 fof(f451,plain,(
% 0.10/0.34 (![A,B,C]: ((((~ssItem(A)|~ssList(B))|~ssList(C))|~app(app(B,cons(A,nil)),C)=sk2)|~app(app(C,cons(A,nil)),B)=sk1))|~neq(sk4,nil)),
% 0.10/0.34 inference(miniscoping,[status(esa)],[f200])).
% 0.10/0.34 fof(f452,plain,(
% 0.10/0.34 ![X0,X1,X2]: (~ssItem(X0)|~ssList(X1)|~ssList(X2)|~app(app(X1,cons(X0,nil)),X2)=sk2|~app(app(X2,cons(X0,nil)),X1)=sk1|~neq(sk4,nil))),
% 0.10/0.34 inference(cnf_transformation,[status(esa)],[f451])).
% 0.10/0.34 fof(f453,plain,(
% 0.10/0.34 ssItem(sk5)|~neq(sk4,nil)),
% 0.10/0.34 inference(cnf_transformation,[status(esa)],[f201])).
% 0.10/0.34 fof(f454,plain,(
% 0.10/0.34 ssList(sk6)|~neq(sk4,nil)),
% 0.10/0.34 inference(cnf_transformation,[status(esa)],[f202])).
% 0.10/0.34 fof(f455,plain,(
% 0.10/0.34 ssList(sk7)|~neq(sk4,nil)),
% 0.10/0.34 inference(cnf_transformation,[status(esa)],[f203])).
% 0.10/0.34 fof(f456,plain,(
% 0.10/0.34 app(app(sk6,cons(sk5,nil)),sk7)=sk4|~neq(sk4,nil)),
% 0.10/0.34 inference(cnf_transformation,[status(esa)],[f204])).
% 0.10/0.34 fof(f457,plain,(
% 0.10/0.34 app(app(sk7,cons(sk5,nil)),sk6)=sk3|~neq(sk4,nil)),
% 0.10/0.34 inference(cnf_transformation,[status(esa)],[f205])).
% 0.10/0.34 fof(f465,plain,(
% 0.10/0.34 spl0_2 <=> neq(sk2,nil)),
% 0.10/0.34 introduced(split_symbol_definition)).
% 0.10/0.34 fof(f466,plain,(
% 0.10/0.34 neq(sk2,nil)|~spl0_2),
% 0.10/0.34 inference(component_clause,[status(thm)],[f465])).
% 0.10/0.34 fof(f468,plain,(
% 0.10/0.34 spl0_2),
% 0.10/0.34 inference(split_clause,[status(thm)],[f442,f465])).
% 0.10/0.34 fof(f469,plain,(
% 0.10/0.34 spl0_3 <=> neq(sk4,nil)),
% 0.10/0.34 introduced(split_symbol_definition)).
% 0.10/0.34 fof(f471,plain,(
% 0.10/0.34 ~neq(sk4,nil)|spl0_3),
% 0.10/0.34 inference(component_clause,[status(thm)],[f469])).
% 0.10/0.34 fof(f473,plain,(
% 0.10/0.34 spl0_4 <=> ~ssItem(X0)|~ssList(X1)|~ssList(X2)|~app(app(X1,cons(X0,nil)),X2)=sk2|~app(app(X2,cons(X0,nil)),X1)=sk1),
% 0.10/0.34 introduced(split_symbol_definition)).
% 0.10/0.34 fof(f474,plain,(
% 0.10/0.34 ![X0,X1,X2]: (~ssItem(X0)|~ssList(X1)|~ssList(X2)|~app(app(X1,cons(X0,nil)),X2)=sk2|~app(app(X2,cons(X0,nil)),X1)=sk1|~spl0_4)),
% 0.10/0.34 inference(component_clause,[status(thm)],[f473])).
% 0.10/0.34 fof(f477,plain,(
% 0.10/0.34 spl0_5 <=> ssItem(sk5)),
% 0.10/0.34 introduced(split_symbol_definition)).
% 0.10/0.34 fof(f481,plain,(
% 0.10/0.34 spl0_6 <=> ssList(sk6)),
% 0.10/0.34 introduced(split_symbol_definition)).
% 0.10/0.34 fof(f485,plain,(
% 0.10/0.34 spl0_7 <=> ssList(sk7)),
% 0.10/0.34 introduced(split_symbol_definition)).
% 0.15/0.57 fof(f489,plain,(
% 0.15/0.57 spl0_8 <=> app(app(sk6,cons(sk5,nil)),sk7)=sk4),
% 0.15/0.57 introduced(split_symbol_definition)).
% 0.15/0.57 fof(f490,plain,(
% 0.15/0.57 app(app(sk6,cons(sk5,nil)),sk7)=sk4|~spl0_8),
% 0.15/0.57 inference(component_clause,[status(thm)],[f489])).
% 0.15/0.57 fof(f493,plain,(
% 0.15/0.57 spl0_9 <=> app(app(sk7,cons(sk5,nil)),sk6)=sk3),
% 0.15/0.57 introduced(split_symbol_definition)).
% 0.15/0.57 fof(f494,plain,(
% 0.15/0.57 app(app(sk7,cons(sk5,nil)),sk6)=sk3|~spl0_9),
% 0.15/0.57 inference(component_clause,[status(thm)],[f493])).
% 0.15/0.57 fof(f497,plain,(
% 0.15/0.57 spl0_4|~spl0_3),
% 0.15/0.57 inference(split_clause,[status(thm)],[f452,f473,f469])).
% 0.15/0.57 fof(f498,plain,(
% 0.15/0.57 spl0_5|~spl0_3),
% 0.15/0.57 inference(split_clause,[status(thm)],[f453,f477,f469])).
% 0.15/0.57 fof(f499,plain,(
% 0.15/0.57 spl0_6|~spl0_3),
% 0.15/0.57 inference(split_clause,[status(thm)],[f454,f481,f469])).
% 0.15/0.57 fof(f500,plain,(
% 0.15/0.57 spl0_7|~spl0_3),
% 0.15/0.57 inference(split_clause,[status(thm)],[f455,f485,f469])).
% 0.15/0.57 fof(f501,plain,(
% 0.15/0.57 spl0_8|~spl0_3),
% 0.15/0.57 inference(split_clause,[status(thm)],[f456,f489,f469])).
% 0.15/0.57 fof(f502,plain,(
% 0.15/0.57 spl0_9|~spl0_3),
% 0.15/0.57 inference(split_clause,[status(thm)],[f457,f493,f469])).
% 0.15/0.57 fof(f534,plain,(
% 0.15/0.57 spl0_10 <=> ssList(nil)),
% 0.15/0.57 introduced(split_symbol_definition)).
% 0.15/0.57 fof(f536,plain,(
% 0.15/0.57 ~ssList(nil)|spl0_10),
% 0.15/0.57 inference(component_clause,[status(thm)],[f534])).
% 0.15/0.57 fof(f544,plain,(
% 0.15/0.57 $false|spl0_10),
% 0.15/0.57 inference(forward_subsumption_resolution,[status(thm)],[f536,f213])).
% 0.15/0.57 fof(f545,plain,(
% 0.15/0.57 spl0_10),
% 0.15/0.57 inference(contradiction_clause,[status(thm)],[f544])).
% 0.15/0.57 fof(f546,plain,(
% 0.15/0.57 ~neq(sk2,nil)|spl0_3),
% 0.15/0.57 inference(forward_demodulation,[status(thm)],[f440,f471])).
% 0.15/0.57 fof(f558,plain,(
% 0.15/0.57 spl0_15 <=> ssList(sk2)),
% 0.15/0.57 introduced(split_symbol_definition)).
% 0.15/0.57 fof(f560,plain,(
% 0.15/0.57 ~ssList(sk2)|spl0_15),
% 0.15/0.57 inference(component_clause,[status(thm)],[f558])).
% 0.15/0.57 fof(f563,plain,(
% 0.15/0.57 $false|spl0_15),
% 0.15/0.57 inference(forward_subsumption_resolution,[status(thm)],[f560,f437])).
% 0.15/0.57 fof(f564,plain,(
% 0.15/0.57 spl0_15),
% 0.15/0.57 inference(contradiction_clause,[status(thm)],[f563])).
% 0.15/0.57 fof(f565,plain,(
% 0.15/0.57 app(app(sk6,cons(sk5,nil)),sk7)=sk2|~spl0_8),
% 0.15/0.57 inference(forward_demodulation,[status(thm)],[f440,f490])).
% 0.15/0.57 fof(f566,plain,(
% 0.15/0.57 app(app(sk7,cons(sk5,nil)),sk6)=sk1|~spl0_9),
% 0.15/0.57 inference(forward_demodulation,[status(thm)],[f441,f494])).
% 0.15/0.57 fof(f568,plain,(
% 0.15/0.57 spl0_16 <=> app(app(sk7,cons(sk5,nil)),sk6)=sk1),
% 0.15/0.57 introduced(split_symbol_definition)).
% 0.15/0.57 fof(f570,plain,(
% 0.15/0.57 ~app(app(sk7,cons(sk5,nil)),sk6)=sk1|spl0_16),
% 0.15/0.57 inference(component_clause,[status(thm)],[f568])).
% 0.15/0.57 fof(f571,plain,(
% 0.15/0.57 ~ssItem(sk5)|~ssList(sk6)|~ssList(sk7)|~app(app(sk7,cons(sk5,nil)),sk6)=sk1|~spl0_8|~spl0_4),
% 0.15/0.57 inference(resolution,[status(thm)],[f565,f474])).
% 0.15/0.57 fof(f572,plain,(
% 0.15/0.57 ~spl0_5|~spl0_6|~spl0_7|~spl0_16|~spl0_8|~spl0_4),
% 0.15/0.57 inference(split_clause,[status(thm)],[f571,f477,f481,f485,f568,f489,f473])).
% 0.15/0.57 fof(f619,plain,(
% 0.15/0.57 ~sk1=sk1|~spl0_9|spl0_16),
% 0.15/0.57 inference(forward_demodulation,[status(thm)],[f566,f570])).
% 0.15/0.57 fof(f620,plain,(
% 0.15/0.57 $false|~spl0_9|spl0_16),
% 0.15/0.57 inference(trivial_equality_resolution,[status(esa)],[f619])).
% 0.15/0.57 fof(f621,plain,(
% 0.15/0.57 ~spl0_9|spl0_16),
% 0.15/0.57 inference(contradiction_clause,[status(thm)],[f620])).
% 0.15/0.57 fof(f623,plain,(
% 0.15/0.57 $false|~spl0_2|spl0_3),
% 0.15/0.57 inference(forward_subsumption_resolution,[status(thm)],[f546,f466])).
% 0.15/0.57 fof(f624,plain,(
% 0.15/0.57 ~spl0_2|spl0_3),
% 0.15/0.57 inference(contradiction_clause,[status(thm)],[f623])).
% 0.15/0.57 fof(f625,plain,(
% 0.15/0.57 $false),
% 0.15/0.57 inference(sat_refutation,[status(thm)],[f468,f497,f498,f499,f500,f501,f502,f545,f564,f572,f621,f624])).
% 0.15/0.57 % SZS output end CNFRefutation for theBenchmark.p
% 0.15/0.57 % Elapsed time: 0.018938 seconds
% 0.15/0.57 % CPU time: 0.019320 seconds
% 0.15/0.57 % Memory used: 4.114 MB
%------------------------------------------------------------------------------