%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SWC007-1 : 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 : n014.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 02:41:19 PM UTC 2026
% Result : Unsatisfiable 0.13s 0.46s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWC007-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n014.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Mon Sep 21 07:48:50 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.38 % Drodi V4.1.1
% 0.13/0.46 % Refutation found
% 0.13/0.46 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.13/0.46 % SZS output start CNFRefutation for theBenchmark
% 0.13/0.46 fof(f8,axiom,(
% 0.13/0.46 ssList(nil) ),
% 0.13/0.46 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.46 fof(f73,axiom,(
% 0.13/0.46 (![U]: (( ~ ssList(U)| app(U,nil) = U ) ))),
% 0.13/0.46 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.46 fof(f74,axiom,(
% 0.13/0.46 (![U]: (( ~ ssList(U)| app(nil,U) = U ) ))),
% 0.13/0.46 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.46 fof(f187,negated_conjecture,(
% 0.13/0.46 ssList(sk2) ),
% 0.13/0.46 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.46 fof(f189,negated_conjecture,(
% 0.13/0.46 ssList(sk4) ),
% 0.13/0.46 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.46 fof(f190,negated_conjecture,(
% 0.13/0.46 nil = sk3 ),
% 0.13/0.46 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.46 fof(f191,negated_conjecture,(
% 0.13/0.46 sk2 = sk4 ),
% 0.13/0.46 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.46 fof(f192,negated_conjecture,(
% 0.13/0.46 sk1 = sk3 ),
% 0.13/0.46 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.46 fof(f193,negated_conjecture,(
% 0.13/0.46 (![A,B,C]: (( ~ ssList(A)| ~ ssList(B)| ~ ssList(C)| app(app(A,B),C) != sk2| app(A,C) != sk1 ) ))),
% 0.13/0.46 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.46 fof(f201,plain,(
% 0.13/0.46 ssList(nil)),
% 0.13/0.46 inference(cnf_transformation,[status(thm)],[f8])).
% 0.13/0.46 fof(f267,plain,(
% 0.13/0.46 ![X0]: (~ssList(X0)|app(X0,nil)=X0)),
% 0.13/0.46 inference(cnf_transformation,[status(thm)],[f73])).
% 0.13/0.46 fof(f268,plain,(
% 0.13/0.46 ![X0]: (~ssList(X0)|app(nil,X0)=X0)),
% 0.13/0.46 inference(cnf_transformation,[status(thm)],[f74])).
% 0.13/0.46 fof(f425,plain,(
% 0.13/0.46 ssList(sk2)),
% 0.13/0.46 inference(cnf_transformation,[status(thm)],[f187])).
% 0.13/0.46 fof(f427,plain,(
% 0.13/0.46 ssList(sk4)),
% 0.13/0.46 inference(cnf_transformation,[status(thm)],[f189])).
% 0.13/0.46 fof(f428,plain,(
% 0.13/0.46 nil=sk3),
% 0.13/0.46 inference(cnf_transformation,[status(thm)],[f190])).
% 0.13/0.46 fof(f429,plain,(
% 0.13/0.46 sk2=sk4),
% 0.13/0.46 inference(cnf_transformation,[status(thm)],[f191])).
% 0.13/0.46 fof(f430,plain,(
% 0.13/0.46 sk1=sk3),
% 0.13/0.46 inference(cnf_transformation,[status(thm)],[f192])).
% 0.13/0.46 fof(f431,plain,(
% 0.13/0.46 ![A,C]: ((![B]: (((~ssList(A)|~ssList(B))|~ssList(C))|~app(app(A,B),C)=sk2))|~app(A,C)=sk1)),
% 0.13/0.47 inference(miniscoping,[status(thm)],[f193])).
% 0.13/0.47 fof(f432,plain,(
% 0.13/0.47 ![X0,X1,X2]: (~ssList(X0)|~ssList(X1)|~ssList(X2)|~app(app(X0,X1),X2)=sk2|~app(X0,X2)=sk1)),
% 0.13/0.47 inference(cnf_transformation,[status(thm)],[f431])).
% 0.13/0.47 fof(f462,plain,(
% 0.13/0.47 app(sk4,nil)=sk4),
% 0.13/0.47 inference(resolution,[status(thm)],[f267,f427])).
% 0.13/0.47 fof(f463,plain,(
% 0.13/0.47 app(nil,nil)=nil),
% 0.13/0.47 inference(resolution,[status(thm)],[f267,f201])).
% 0.13/0.47 fof(f467,plain,(
% 0.13/0.47 app(nil,sk4)=sk4),
% 0.13/0.47 inference(resolution,[status(thm)],[f268,f427])).
% 0.13/0.47 fof(f479,plain,(
% 0.13/0.47 sk1=nil),
% 0.13/0.47 inference(forward_demodulation,[status(thm)],[f428,f430])).
% 0.13/0.47 fof(f480,plain,(
% 0.13/0.47 app(sk2,nil)=sk4),
% 0.13/0.47 inference(forward_demodulation,[status(thm)],[f429,f462])).
% 0.13/0.47 fof(f481,plain,(
% 0.13/0.47 app(sk2,nil)=sk2),
% 0.13/0.47 inference(forward_demodulation,[status(thm)],[f429,f480])).
% 0.13/0.47 fof(f516,plain,(
% 0.13/0.47 ![X0,X1,X2]: (~ssList(X0)|~ssList(X1)|~ssList(X2)|~app(app(X0,X1),X2)=sk2|~app(X0,X2)=nil)),
% 0.13/0.47 inference(forward_demodulation,[status(thm)],[f479,f432])).
% 0.13/0.47 fof(f524,plain,(
% 0.13/0.47 app(nil,sk2)=sk4),
% 0.13/0.47 inference(forward_demodulation,[status(thm)],[f429,f467])).
% 0.13/0.47 fof(f525,plain,(
% 0.13/0.47 app(nil,sk2)=sk2),
% 0.13/0.47 inference(forward_demodulation,[status(thm)],[f429,f524])).
% 0.13/0.47 fof(f526,plain,(
% 0.13/0.47 ![X0]: (~ssList(nil)|~ssList(sk2)|~ssList(X0)|~app(sk2,X0)=sk2|~app(nil,X0)=nil)),
% 0.13/0.47 inference(paramodulation,[status(thm)],[f525,f516])).
% 0.13/0.47 fof(f528,plain,(
% 0.13/0.47 ![X0]: (~ssList(sk2)|~ssList(X0)|~app(sk2,X0)=sk2|~app(nil,X0)=nil)),
% 0.13/0.47 inference(forward_subsumption_resolution,[status(thm)],[f526,f201])).
% 0.13/0.47 fof(f1888,plain,(
% 0.13/0.47 ![X0]: (~ssList(X0)|~app(sk2,X0)=sk2|~app(nil,X0)=nil)),
% 0.13/0.47 inference(forward_subsumption_resolution,[status(thm)],[f528,f425])).
% 0.13/0.47 fof(f1889,plain,(
% 0.13/0.47 ~ssList(nil)|~app(nil,nil)=nil),
% 0.13/0.47 inference(resolution,[status(thm)],[f1888,f481])).
% 0.13/0.47 fof(f1891,plain,(
% 0.13/0.47 ~ssList(nil)|~nil=nil),
% 0.13/0.47 inference(forward_demodulation,[status(thm)],[f463,f1889])).
% 0.13/0.47 fof(f1892,plain,(
% 0.13/0.47 ~ssList(nil)),
% 0.13/0.47 inference(trivial_equality_resolution,[status(thm)],[f1891])).
% 0.13/0.47 fof(f1893,plain,(
% 0.13/0.47 $false),
% 0.13/0.47 inference(forward_subsumption_resolution,[status(thm)],[f1892,f201])).
% 0.13/0.47 % SZS output end CNFRefutation for theBenchmark.p
% 0.15/0.58 % Elapsed time: 0.197246 seconds
% 0.15/0.58 % CPU time: 0.635911 seconds
% 0.15/0.58 % Total memory used: 114.179 MB
% 0.15/0.58 % Net memory used: 113.597 MB
%------------------------------------------------------------------------------