%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SWC309-1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n013.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 02:42:07 PM UTC 2026
% Result : Unsatisfiable 135.27s 17.76s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SWC309-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.06 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.45 % Computer : n013.cluster.edu
% 0.19/0.45 % Model : x86_64 x86_64
% 0.19/0.45 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.19/0.45 % Memory : 8046.5625MB
% 0.19/0.45 % OS : Linux 6.8.0-71-generic
% 0.19/0.45 % CPULimit : 300
% 0.19/0.45 % WCLimit : 300
% 0.19/0.45 % DateTime : Mon Sep 21 08:13:51 UTC 2026
% 0.19/0.45 % CPUTime :
% 0.19/0.50 % Drodi V4.1.1
% 135.27/17.76 % Refutation found
% 135.27/17.76 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 135.27/17.76 % SZS output start CNFRefutation for theBenchmark
% 135.27/17.76 fof(f8,axiom,(
% 135.27/17.76 ssList(nil) ),
% 135.27/17.76 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 135.27/17.76 fof(f12,axiom,(
% 135.27/17.76 (![U]: (ssItem(skaf83(U)) ))),
% 135.27/17.76 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 135.27/17.76 fof(f13,axiom,(
% 135.27/17.76 (![U]: (ssList(skaf82(U)) ))),
% 135.27/17.76 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 135.27/17.76 fof(f109,axiom,(
% 135.27/17.76 (![U]: (( ~ ssList(U)| cons(skaf83(U),skaf82(U)) = U| nil = U ) ))),
% 135.27/17.76 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 135.27/17.76 fof(f115,axiom,(
% 135.27/17.76 (![U,V]: (( U != V| ~ neq(U,V)| ~ ssList(V)| ~ ssList(U) ) ))),
% 135.27/17.76 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 135.27/17.76 fof(f120,axiom,(
% 135.27/17.76 (![U,V]: (( ~ ssItem(U)| ~ ssList(V)| app(cons(U,nil),V) = cons(U,V) ) ))),
% 135.27/17.76 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 135.27/17.76 fof(f187,negated_conjecture,(
% 135.27/17.76 ssList(sk2) ),
% 135.27/17.76 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 135.27/17.76 fof(f190,negated_conjecture,(
% 135.27/17.76 sk2 = sk4 ),
% 135.27/17.76 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 135.27/17.76 fof(f191,negated_conjecture,(
% 135.27/17.76 sk1 = sk3 ),
% 135.27/17.76 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 135.27/17.76 fof(f192,negated_conjecture,(
% 135.27/17.76 neq(sk2,nil) ),
% 135.27/17.76 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 135.27/17.76 fof(f193,negated_conjecture,(
% 135.27/17.76 (![A,B]: (( ~ ssItem(A)| ~ ssList(B)| app(cons(A,nil),B) != sk2| app(B,cons(A,nil)) != sk1 ) ))),
% 135.27/17.76 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 135.27/17.76 fof(f194,negated_conjecture,(
% 135.27/17.76 (![A,B]: (( ~ ssItem(A)| ~ ssList(B)| app(B,cons(A,nil)) = sk3| app(cons(A,nil),B) != sk4 ) ))),
% 135.27/17.76 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 135.27/17.76 fof(f203,plain,(
% 135.27/17.76 ssList(nil)),
% 135.27/17.76 inference(cnf_transformation,[status(thm)],[f8])).
% 135.27/17.76 fof(f207,plain,(
% 135.27/17.76 ![X0]: (ssItem(skaf83(X0)))),
% 135.27/17.76 inference(cnf_transformation,[status(thm)],[f12])).
% 135.27/17.76 fof(f208,plain,(
% 135.27/17.76 ![X0]: (ssList(skaf82(X0)))),
% 135.27/17.76 inference(cnf_transformation,[status(thm)],[f13])).
% 135.27/17.76 fof(f307,plain,(
% 135.27/17.76 ![X0]: (~ssList(X0)|cons(skaf83(X0),skaf82(X0))=X0|nil=X0)),
% 135.27/17.76 inference(cnf_transformation,[status(thm)],[f109])).
% 135.27/17.76 fof(f316,plain,(
% 135.27/17.76 ![U]: ((![V]: ((~U=V|~neq(U,V))|~ssList(V)))|~ssList(U))),
% 135.27/17.76 inference(miniscoping,[status(thm)],[f115])).
% 135.27/17.76 fof(f317,plain,(
% 135.27/17.76 ![X0,X1]: (~X0=X1|~neq(X0,X1)|~ssList(X1)|~ssList(X0))),
% 135.27/17.76 inference(cnf_transformation,[status(thm)],[f316])).
% 135.27/17.76 fof(f326,plain,(
% 135.27/17.76 ![X0,X1]: (~ssItem(X0)|~ssList(X1)|app(cons(X0,nil),X1)=cons(X0,X1))),
% 135.27/17.76 inference(cnf_transformation,[status(thm)],[f120])).
% 135.27/17.76 fof(f427,plain,(
% 135.27/17.76 ssList(sk2)),
% 135.27/17.76 inference(cnf_transformation,[status(thm)],[f187])).
% 135.27/17.76 fof(f430,plain,(
% 135.27/17.76 sk2=sk4),
% 135.27/17.76 inference(cnf_transformation,[status(thm)],[f190])).
% 135.27/17.76 fof(f431,plain,(
% 135.27/17.76 sk1=sk3),
% 135.27/17.76 inference(cnf_transformation,[status(thm)],[f191])).
% 135.27/17.76 fof(f432,plain,(
% 135.27/17.76 neq(sk2,nil)),
% 135.27/17.76 inference(cnf_transformation,[status(thm)],[f192])).
% 135.27/17.76 fof(f433,plain,(
% 135.27/17.76 ![X0,X1]: (~ssItem(X0)|~ssList(X1)|~app(cons(X0,nil),X1)=sk2|~app(X1,cons(X0,nil))=sk1)),
% 135.27/17.76 inference(cnf_transformation,[status(thm)],[f193])).
% 135.27/17.76 fof(f434,plain,(
% 135.27/17.76 ![X0,X1]: (~ssItem(X0)|~ssList(X1)|app(X1,cons(X0,nil))=sk3|~app(cons(X0,nil),X1)=sk4)),
% 135.27/17.76 inference(cnf_transformation,[status(thm)],[f194])).
% 135.27/17.76 fof(f443,plain,(
% 135.27/17.76 ![X1]: (~neq(X1,X1)|~ssList(X1)|~ssList(X1))),
% 135.27/17.76 inference(destructive_equality_resolution,[status(thm)],[f317])).
% 135.27/17.76 fof(f444,plain,(
% 135.27/17.76 ![X0]: (~neq(X0,X0)|~ssList(X0))),
% 135.27/17.76 inference(duplicate_literals_removal,[status(thm)],[f443])).
% 135.27/17.76 fof(f469,plain,(
% 135.27/17.76 ![X0,X1]: (~ssItem(X0)|~ssList(X1)|app(X1,cons(X0,nil))=sk1|~app(cons(X0,nil),X1)=sk4)),
% 135.27/17.76 inference(forward_demodulation,[status(thm)],[f431,f434])).
% 135.27/17.76 fof(f470,plain,(
% 135.27/17.76 ![X0,X1]: (~ssItem(X0)|~ssList(X1)|app(X1,cons(X0,nil))=sk1|~app(cons(X0,nil),X1)=sk2)),
% 135.27/17.76 inference(forward_demodulation,[status(thm)],[f430,f469])).
% 135.27/17.76 fof(f471,plain,(
% 135.27/17.76 ![X0,X1]: (~ssItem(X0)|~ssList(X1)|~app(cons(X0,nil),X1)=sk2)),
% 135.27/17.76 inference(forward_subsumption_resolution,[status(thm)],[f470,f433])).
% 135.27/17.76 fof(f546,plain,(
% 135.27/17.76 ![X0,X1]: (~ssList(X0)|app(cons(skaf83(X1),nil),X0)=cons(skaf83(X1),X0))),
% 135.27/17.76 inference(resolution,[status(thm)],[f207,f326])).
% 136.13/17.82 fof(f550,plain,(
% 136.13/17.82 ![X0,X1]: (~ssList(X0)|~app(cons(skaf83(X1),nil),X0)=sk2)),
% 136.13/17.82 inference(resolution,[status(thm)],[f207,f471])).
% 136.13/17.82 fof(f1065,plain,(
% 136.13/17.82 ![X0,X1]: (~app(cons(skaf83(X0),nil),skaf82(X1))=sk2)),
% 136.13/17.82 inference(resolution,[status(thm)],[f550,f208])).
% 136.13/17.82 fof(f2072,plain,(
% 136.13/17.82 ![X0,X1]: (app(cons(skaf83(X0),nil),skaf82(X1))=cons(skaf83(X0),skaf82(X1)))),
% 136.13/17.82 inference(resolution,[status(thm)],[f546,f208])).
% 136.13/17.82 fof(f2090,plain,(
% 136.13/17.82 ![X0,X1]: (~cons(skaf83(X0),skaf82(X1))=sk2)),
% 136.13/17.82 inference(backward_demodulation,[status(thm)],[f2072,f1065])).
% 136.13/17.82 fof(f7284,plain,(
% 136.13/17.82 cons(skaf83(sk2),skaf82(sk2))=sk2|nil=sk2),
% 136.13/17.82 inference(resolution,[status(thm)],[f307,f427])).
% 136.13/17.82 fof(f7367,plain,(
% 136.13/17.82 neq(nil,nil)),
% 136.13/17.82 inference(backward_demodulation,[status(thm)],[f8635,f432])).
% 136.13/17.82 fof(f8635,plain,(
% 136.13/17.82 nil=sk2),
% 136.13/17.82 inference(forward_subsumption_resolution,[status(thm)],[f7284,f2090])).
% 136.13/17.82 fof(f13255,plain,(
% 136.13/17.82 ~ssList(nil)),
% 136.13/17.82 inference(resolution,[status(thm)],[f7367,f444])).
% 136.13/17.82 fof(f13256,plain,(
% 136.13/17.82 $false),
% 136.13/17.82 inference(forward_subsumption_resolution,[status(thm)],[f13255,f203])).
% 136.13/17.82 % SZS output end CNFRefutation for theBenchmark.p
% 65.16/17.92 % Elapsed time: 17.433483 seconds
% 65.16/17.92 % CPU time: 137.071941 seconds
% 65.16/17.92 % Total memory used: 912.606 MB
% 65.16/17.92 % Net memory used: 848.917 MB
%------------------------------------------------------------------------------