%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SWC313-1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n018.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 02:42:08 PM UTC 2026
% Result : Unsatisfiable 205.64s 26.51s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SWC313-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.06 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.38 % Computer : n018.cluster.edu
% 0.13/0.38 % Model : x86_64 x86_64
% 0.13/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.38 % Memory : 8046.5625MB
% 0.13/0.38 % OS : Linux 6.8.0-71-generic
% 0.13/0.38 % CPULimit : 300
% 0.13/0.38 % WCLimit : 300
% 0.13/0.38 % DateTime : Mon Sep 21 08:16:29 UTC 2026
% 0.13/0.38 % CPUTime :
% 0.13/0.41 % Drodi V4.1.1
% 205.64/26.51 % Refutation found
% 205.64/26.51 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 205.64/26.51 % SZS output start CNFRefutation for theBenchmark
% 205.64/26.51 fof(f8,axiom,(
% 205.64/26.51 ssList(nil) ),
% 205.64/26.51 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 205.64/26.51 fof(f12,axiom,(
% 205.64/26.51 (![U]: (ssItem(skaf83(U)) ))),
% 205.64/26.51 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 205.64/26.51 fof(f13,axiom,(
% 205.64/26.51 (![U]: (ssList(skaf82(U)) ))),
% 205.64/26.51 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 205.64/26.51 fof(f109,axiom,(
% 205.64/26.51 (![U]: (( ~ ssList(U)| cons(skaf83(U),skaf82(U)) = U| nil = U ) ))),
% 205.64/26.51 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 205.64/26.51 fof(f115,axiom,(
% 205.64/26.51 (![U,V]: (( U != V| ~ neq(U,V)| ~ ssList(V)| ~ ssList(U) ) ))),
% 205.64/26.51 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 205.64/26.51 fof(f120,axiom,(
% 205.64/26.51 (![U,V]: (( ~ ssItem(U)| ~ ssList(V)| app(cons(U,nil),V) = cons(U,V) ) ))),
% 205.64/26.51 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 205.64/26.51 fof(f187,negated_conjecture,(
% 205.64/26.51 ssList(sk2) ),
% 205.64/26.51 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 205.64/26.51 fof(f190,negated_conjecture,(
% 205.64/26.51 sk2 = sk4 ),
% 205.64/26.51 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 205.64/26.51 fof(f191,negated_conjecture,(
% 205.64/26.51 sk1 = sk3 ),
% 205.64/26.51 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 205.64/26.51 fof(f192,negated_conjecture,(
% 205.64/26.51 (![A,B]: (( ~ ssItem(A)| ~ ssList(B)| app(B,cons(A,nil)) = sk3| app(cons(A,nil),B) != sk4 ) ))),
% 205.64/26.51 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 205.64/26.51 fof(f193,negated_conjecture,(
% 205.64/26.51 ( nil = sk3| nil != sk4 ) ),
% 205.64/26.51 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 205.64/26.51 fof(f195,negated_conjecture,(
% 205.64/26.51 (![A,B]: (( nil = sk2| ~ ssItem(A)| ~ ssList(B)| app(cons(A,nil),B) != sk2| app(B,cons(A,nil)) != sk1 ) ))),
% 205.64/26.51 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 205.64/26.51 fof(f196,negated_conjecture,(
% 205.64/26.51 ( nil != sk1| neq(sk2,nil) ) ),
% 205.64/26.51 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 205.64/26.51 fof(f205,plain,(
% 205.64/26.51 ssList(nil)),
% 205.64/26.51 inference(cnf_transformation,[status(thm)],[f8])).
% 205.64/26.51 fof(f209,plain,(
% 205.64/26.51 ![X0]: (ssItem(skaf83(X0)))),
% 205.64/26.51 inference(cnf_transformation,[status(thm)],[f12])).
% 205.64/26.51 fof(f210,plain,(
% 205.64/26.51 ![X0]: (ssList(skaf82(X0)))),
% 205.64/26.51 inference(cnf_transformation,[status(thm)],[f13])).
% 205.64/26.51 fof(f309,plain,(
% 205.64/26.51 ![X0]: (~ssList(X0)|cons(skaf83(X0),skaf82(X0))=X0|nil=X0)),
% 205.64/26.51 inference(cnf_transformation,[status(thm)],[f109])).
% 205.64/26.51 fof(f318,plain,(
% 205.64/26.51 ![U]: ((![V]: ((~U=V|~neq(U,V))|~ssList(V)))|~ssList(U))),
% 205.64/26.51 inference(miniscoping,[status(thm)],[f115])).
% 205.64/26.51 fof(f319,plain,(
% 205.64/26.51 ![X0,X1]: (~X0=X1|~neq(X0,X1)|~ssList(X1)|~ssList(X0))),
% 205.64/26.51 inference(cnf_transformation,[status(thm)],[f318])).
% 205.64/26.51 fof(f328,plain,(
% 205.64/26.51 ![X0,X1]: (~ssItem(X0)|~ssList(X1)|app(cons(X0,nil),X1)=cons(X0,X1))),
% 205.64/26.51 inference(cnf_transformation,[status(thm)],[f120])).
% 205.64/26.51 fof(f429,plain,(
% 205.64/26.51 ssList(sk2)),
% 205.64/26.51 inference(cnf_transformation,[status(thm)],[f187])).
% 205.64/26.51 fof(f432,plain,(
% 205.64/26.51 sk2=sk4),
% 205.64/26.51 inference(cnf_transformation,[status(thm)],[f190])).
% 205.64/26.51 fof(f433,plain,(
% 205.64/26.51 sk1=sk3),
% 205.64/26.51 inference(cnf_transformation,[status(thm)],[f191])).
% 205.64/26.51 fof(f434,plain,(
% 205.64/26.51 ![X0,X1]: (~ssItem(X0)|~ssList(X1)|app(X1,cons(X0,nil))=sk3|~app(cons(X0,nil),X1)=sk4)),
% 205.64/26.51 inference(cnf_transformation,[status(thm)],[f192])).
% 205.64/26.51 fof(f435,plain,(
% 205.64/26.51 nil=sk3|~nil=sk4),
% 205.64/26.51 inference(cnf_transformation,[status(thm)],[f193])).
% 205.64/26.51 fof(f437,plain,(
% 205.64/26.51 ![X0,X1]: (nil=sk2|~ssItem(X0)|~ssList(X1)|~app(cons(X0,nil),X1)=sk2|~app(X1,cons(X0,nil))=sk1)),
% 205.64/26.51 inference(cnf_transformation,[status(thm)],[f195])).
% 205.64/26.51 fof(f438,plain,(
% 205.64/26.51 ~nil=sk1|neq(sk2,nil)),
% 205.64/26.51 inference(cnf_transformation,[status(thm)],[f196])).
% 205.64/26.51 fof(f447,plain,(
% 205.64/26.51 ![X1]: (~neq(X1,X1)|~ssList(X1)|~ssList(X1))),
% 205.64/26.51 inference(destructive_equality_resolution,[status(thm)],[f319])).
% 205.64/26.51 fof(f448,plain,(
% 205.64/26.51 ![X0]: (~neq(X0,X0)|~ssList(X0))),
% 205.64/26.51 inference(duplicate_literals_removal,[status(thm)],[f447])).
% 205.64/26.51 fof(f473,plain,(
% 205.64/26.51 ![X0,X1]: (~ssItem(X0)|~ssList(X1)|app(X1,cons(X0,nil))=sk1|~app(cons(X0,nil),X1)=sk4)),
% 205.64/26.51 inference(forward_demodulation,[status(thm)],[f433,f434])).
% 205.64/26.51 fof(f474,plain,(
% 205.64/26.51 ![X0,X1]: (~ssItem(X0)|~ssList(X1)|app(X1,cons(X0,nil))=sk1|~app(cons(X0,nil),X1)=sk2)),
% 205.64/26.51 inference(forward_demodulation,[status(thm)],[f432,f473])).
% 205.64/26.51 fof(f475,plain,(
% 206.51/26.57 nil=sk1|~nil=sk4),
% 206.51/26.57 inference(forward_demodulation,[status(thm)],[f433,f435])).
% 206.51/26.57 fof(f476,plain,(
% 206.51/26.57 nil=sk1|~nil=sk2),
% 206.51/26.57 inference(forward_demodulation,[status(thm)],[f432,f475])).
% 206.51/26.57 fof(f477,plain,(
% 206.51/26.57 ![X0,X1]: (nil=sk2|~ssItem(X0)|~ssList(X1)|~app(cons(X0,nil),X1)=sk2)),
% 206.51/26.57 inference(forward_subsumption_resolution,[status(thm)],[f437,f474])).
% 206.51/26.57 fof(f548,plain,(
% 206.51/26.57 ![X0,X1]: (~ssList(X0)|app(cons(skaf83(X1),nil),X0)=cons(skaf83(X1),X0))),
% 206.51/26.57 inference(resolution,[status(thm)],[f209,f328])).
% 206.51/26.57 fof(f577,plain,(
% 206.51/26.57 ![X0,X1]: (nil=sk2|~ssList(X0)|~app(cons(skaf83(X1),nil),X0)=sk2)),
% 206.51/26.57 inference(resolution,[status(thm)],[f477,f209])).
% 206.51/26.57 fof(f1624,plain,(
% 206.51/26.57 ![X0,X1]: (nil=sk2|~app(cons(skaf83(X0),nil),skaf82(X1))=sk2)),
% 206.51/26.57 inference(resolution,[status(thm)],[f577,f210])).
% 206.51/26.57 fof(f2074,plain,(
% 206.51/26.57 ![X0,X1]: (app(cons(skaf83(X0),nil),skaf82(X1))=cons(skaf83(X0),skaf82(X1)))),
% 206.51/26.57 inference(resolution,[status(thm)],[f548,f210])).
% 206.51/26.57 fof(f2106,plain,(
% 206.51/26.57 ![X0,X1]: (nil=sk2|~cons(skaf83(X0),skaf82(X1))=sk2)),
% 206.51/26.57 inference(backward_demodulation,[status(thm)],[f2074,f1624])).
% 206.51/26.57 fof(f7881,plain,(
% 206.51/26.57 cons(skaf83(sk2),skaf82(sk2))=sk2|nil=sk2),
% 206.51/26.57 inference(resolution,[status(thm)],[f309,f429])).
% 206.51/26.57 fof(f7958,plain,(
% 206.51/26.57 nil=sk1|~nil=nil),
% 206.51/26.57 inference(backward_demodulation,[status(thm)],[f9587,f476])).
% 206.51/26.57 fof(f7962,plain,(
% 206.51/26.57 ~nil=sk1|neq(nil,nil)),
% 206.51/26.57 inference(backward_demodulation,[status(thm)],[f9587,f438])).
% 206.51/26.57 fof(f9587,plain,(
% 206.51/26.57 nil=sk2),
% 206.51/26.57 inference(forward_subsumption_resolution,[status(thm)],[f7881,f2106])).
% 206.51/26.57 fof(f10447,plain,(
% 206.51/26.57 nil=sk1),
% 206.51/26.57 inference(trivial_equality_resolution,[status(thm)],[f7958])).
% 206.51/26.57 fof(f10449,plain,(
% 206.51/26.57 ~nil=nil|neq(nil,nil)),
% 206.51/26.57 inference(forward_demodulation,[status(thm)],[f10447,f7962])).
% 206.51/26.57 fof(f10450,plain,(
% 206.51/26.57 neq(nil,nil)),
% 206.51/26.57 inference(trivial_equality_resolution,[status(thm)],[f10449])).
% 206.51/26.57 fof(f16194,plain,(
% 206.51/26.57 ~ssList(nil)),
% 206.51/26.57 inference(resolution,[status(thm)],[f10450,f448])).
% 206.51/26.57 fof(f16195,plain,(
% 206.51/26.57 $false),
% 206.51/26.57 inference(forward_subsumption_resolution,[status(thm)],[f16194,f205])).
% 206.51/26.57 % SZS output end CNFRefutation for theBenchmark.p
% 113.21/26.67 % Elapsed time: 26.260895 seconds
% 113.21/26.67 % CPU time: 207.445896 seconds
% 113.21/26.67 % Total memory used: 1.348 GB
% 113.21/26.67 % Net memory used: 1.247 GB
%------------------------------------------------------------------------------