%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SWC094-1 : 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 : n020.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 02:41:34 PM UTC 2026
% Result : Unsatisfiable 1.15s 0.59s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWC094-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.35 % Computer : n020.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Mon Sep 21 07:56:17 UTC 2026
% 0.09/0.35 % CPUTime :
% 0.13/0.37 % Drodi V4.1.1
% 1.15/0.59 % Refutation found
% 1.15/0.59 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 1.15/0.59 % SZS output start CNFRefutation for theBenchmark
% 1.15/0.59 fof(f8,axiom,(
% 1.15/0.59 ssList(nil) ),
% 1.15/0.59 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.15/0.59 fof(f73,axiom,(
% 1.15/0.59 (![U]: (( ~ ssList(U)| app(U,nil) = U ) ))),
% 1.15/0.59 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.15/0.59 fof(f186,negated_conjecture,(
% 1.15/0.59 ssList(sk1) ),
% 1.15/0.59 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.15/0.59 fof(f190,negated_conjecture,(
% 1.15/0.59 sk2 = sk4 ),
% 1.15/0.59 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.15/0.59 fof(f191,negated_conjecture,(
% 1.15/0.59 sk1 = sk3 ),
% 1.15/0.59 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.15/0.59 fof(f192,negated_conjecture,(
% 1.15/0.59 sk4 = sk3 ),
% 1.15/0.59 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.15/0.59 fof(f193,negated_conjecture,(
% 1.15/0.59 (![A,B,C]: (( ~ ssList(A)| ~ ssList(B)| ~ ssList(C)| app(app(A,B),C) != sk1| app(A,C) != sk2 ) ))),
% 1.15/0.59 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.15/0.59 fof(f201,plain,(
% 1.15/0.59 ssList(nil)),
% 1.15/0.59 inference(cnf_transformation,[status(thm)],[f8])).
% 1.15/0.59 fof(f267,plain,(
% 1.15/0.59 ![X0]: (~ssList(X0)|app(X0,nil)=X0)),
% 1.15/0.59 inference(cnf_transformation,[status(thm)],[f73])).
% 1.15/0.59 fof(f424,plain,(
% 1.15/0.59 ssList(sk1)),
% 1.15/0.59 inference(cnf_transformation,[status(thm)],[f186])).
% 1.15/0.59 fof(f428,plain,(
% 1.15/0.59 sk2=sk4),
% 1.15/0.59 inference(cnf_transformation,[status(thm)],[f190])).
% 1.15/0.59 fof(f429,plain,(
% 1.15/0.59 sk1=sk3),
% 1.15/0.59 inference(cnf_transformation,[status(thm)],[f191])).
% 1.15/0.59 fof(f430,plain,(
% 1.15/0.59 sk4=sk3),
% 1.15/0.59 inference(cnf_transformation,[status(thm)],[f192])).
% 1.15/0.59 fof(f431,plain,(
% 1.15/0.59 ![A,C]: ((![B]: (((~ssList(A)|~ssList(B))|~ssList(C))|~app(app(A,B),C)=sk1))|~app(A,C)=sk2)),
% 1.15/0.59 inference(miniscoping,[status(thm)],[f193])).
% 1.15/0.59 fof(f432,plain,(
% 1.15/0.59 ![X0,X1,X2]: (~ssList(X0)|~ssList(X1)|~ssList(X2)|~app(app(X0,X1),X2)=sk1|~app(X0,X2)=sk2)),
% 1.15/0.59 inference(cnf_transformation,[status(thm)],[f431])).
% 1.15/0.59 fof(f497,plain,(
% 1.15/0.59 sk2=sk3),
% 1.15/0.59 inference(forward_demodulation,[status(thm)],[f428,f430])).
% 1.15/0.59 fof(f500,plain,(
% 1.15/0.59 sk2=sk1),
% 1.15/0.59 inference(forward_demodulation,[status(thm)],[f429,f497])).
% 1.15/0.59 fof(f501,plain,(
% 1.15/0.59 ![X0,X1,X2]: (~ssList(X0)|~ssList(X1)|~ssList(X2)|~app(app(X0,X1),X2)=sk1|~app(X0,X2)=sk1)),
% 1.15/0.59 inference(forward_demodulation,[status(thm)],[f500,f432])).
% 1.15/0.59 fof(f502,plain,(
% 1.15/0.59 ![X0]: (~ssList(X0)|~app(app(X0,nil),nil)=sk1|~app(X0,nil)=sk1)),
% 1.15/0.59 inference(resolution,[status(thm)],[f501,f201])).
% 1.15/0.59 fof(f2438,plain,(
% 1.15/0.59 app(sk1,nil)=sk1),
% 1.15/0.59 inference(resolution,[status(thm)],[f267,f424])).
% 1.15/0.59 fof(f2502,plain,(
% 1.15/0.59 ~ssList(sk1)|~app(sk1,nil)=sk1|~app(sk1,nil)=sk1),
% 1.15/0.59 inference(paramodulation,[status(thm)],[f2438,f502])).
% 1.15/0.59 fof(f2515,plain,(
% 1.15/0.59 ~ssList(sk1)|~sk1=sk1|~app(sk1,nil)=sk1),
% 1.15/0.59 inference(forward_demodulation,[status(thm)],[f2438,f2502])).
% 1.15/0.59 fof(f2516,plain,(
% 1.15/0.59 ~ssList(sk1)|~sk1=sk1|~sk1=sk1),
% 1.15/0.59 inference(forward_demodulation,[status(thm)],[f2438,f2515])).
% 1.15/0.59 fof(f2517,plain,(
% 1.15/0.59 ~ssList(sk1)|~sk1=sk1),
% 1.15/0.59 inference(duplicate_literals_removal,[status(thm)],[f2516])).
% 1.15/0.59 fof(f2518,plain,(
% 1.15/0.59 ~ssList(sk1)),
% 1.15/0.59 inference(trivial_equality_resolution,[status(thm)],[f2517])).
% 1.15/0.59 fof(f2519,plain,(
% 1.15/0.59 $false),
% 1.15/0.59 inference(forward_subsumption_resolution,[status(thm)],[f2518,f424])).
% 1.15/0.59 % SZS output end CNFRefutation for theBenchmark.p
% 1.15/0.60 % Elapsed time: 0.232881 seconds
% 1.15/0.60 % CPU time: 1.510166 seconds
% 1.15/0.60 % Total memory used: 142.475 MB
% 1.15/0.60 % Net memory used: 139.522 MB
%------------------------------------------------------------------------------