%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SWC275-1 : 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 : 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 02:42:02 PM UTC 2026
% Result : Unsatisfiable 0.19s 0.54s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SWC275-1 : 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 : n018.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
% 0.19/0.46 % CPULimit : 300
% 0.19/0.46 % WCLimit : 300
% 0.19/0.46 % DateTime : Mon Sep 21 08:13:15 UTC 2026
% 0.19/0.46 % CPUTime :
% 0.19/0.50 % Drodi V4.1.1
% 0.19/0.54 % Refutation found
% 0.19/0.54 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.19/0.54 % SZS output start CNFRefutation for theBenchmark
% 0.19/0.54 fof(f4,axiom,(
% 0.19/0.54 totalorderedP(nil) ),
% 0.19/0.54 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.54 fof(f8,axiom,(
% 0.19/0.54 ssList(nil) ),
% 0.19/0.54 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.54 fof(f67,axiom,(
% 0.19/0.54 (![U]: (( ~ ssItem(U)| totalorderedP(cons(U,nil)) ) ))),
% 0.19/0.54 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.54 fof(f100,axiom,(
% 0.19/0.54 (![U,V]: (( ~ ssList(U)| ~ ssList(V)| neq(V,U)| V = U ) ))),
% 0.19/0.54 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.54 fof(f187,negated_conjecture,(
% 0.19/0.54 ssList(sk2) ),
% 0.19/0.54 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.54 fof(f190,negated_conjecture,(
% 0.19/0.54 sk2 = sk4 ),
% 0.19/0.54 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.54 fof(f191,negated_conjecture,(
% 0.19/0.54 sk1 = sk3 ),
% 0.19/0.54 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.54 fof(f192,negated_conjecture,(
% 0.19/0.54 ~ totalorderedP(sk1) ),
% 0.19/0.54 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.54 fof(f193,negated_conjecture,(
% 0.19/0.54 ( nil = sk3| nil != sk4 ) ),
% 0.19/0.54 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.54 fof(f194,negated_conjecture,(
% 0.19/0.54 ( ssItem(sk5)| ~ neq(sk4,nil) ) ),
% 0.19/0.54 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.54 fof(f195,negated_conjecture,(
% 0.19/0.54 ( cons(sk5,nil) = sk3| ~ neq(sk4,nil) ) ),
% 0.19/0.54 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.54 fof(f200,plain,(
% 0.19/0.54 totalorderedP(nil)),
% 0.19/0.54 inference(cnf_transformation,[status(thm)],[f4])).
% 0.19/0.54 fof(f204,plain,(
% 0.19/0.54 ssList(nil)),
% 0.19/0.54 inference(cnf_transformation,[status(thm)],[f8])).
% 0.19/0.54 fof(f263,plain,(
% 0.19/0.54 ![X0]: (~ssItem(X0)|totalorderedP(cons(X0,nil)))),
% 0.19/0.54 inference(cnf_transformation,[status(thm)],[f67])).
% 0.19/0.54 fof(f299,plain,(
% 0.19/0.54 ![X0,X1]: (~ssList(X0)|~ssList(X1)|neq(X1,X0)|X1=X0)),
% 0.19/0.54 inference(cnf_transformation,[status(thm)],[f100])).
% 0.19/0.54 fof(f428,plain,(
% 0.19/0.54 ssList(sk2)),
% 0.19/0.54 inference(cnf_transformation,[status(thm)],[f187])).
% 0.19/0.54 fof(f431,plain,(
% 0.19/0.54 sk2=sk4),
% 0.19/0.54 inference(cnf_transformation,[status(thm)],[f190])).
% 0.19/0.54 fof(f432,plain,(
% 0.19/0.54 sk1=sk3),
% 0.19/0.54 inference(cnf_transformation,[status(thm)],[f191])).
% 0.19/0.54 fof(f433,plain,(
% 0.19/0.54 ~totalorderedP(sk1)),
% 0.19/0.54 inference(cnf_transformation,[status(thm)],[f192])).
% 0.19/0.54 fof(f434,plain,(
% 0.19/0.54 nil=sk3|~nil=sk4),
% 0.19/0.54 inference(cnf_transformation,[status(thm)],[f193])).
% 0.19/0.54 fof(f435,plain,(
% 0.19/0.54 ssItem(sk5)|~neq(sk4,nil)),
% 0.19/0.54 inference(cnf_transformation,[status(thm)],[f194])).
% 0.19/0.54 fof(f436,plain,(
% 0.19/0.54 cons(sk5,nil)=sk3|~neq(sk4,nil)),
% 0.19/0.54 inference(cnf_transformation,[status(thm)],[f195])).
% 0.19/0.54 fof(f484,plain,(
% 0.19/0.54 nil=sk1|~nil=sk4),
% 0.19/0.54 inference(forward_demodulation,[status(thm)],[f432,f434])).
% 0.19/0.54 fof(f485,plain,(
% 0.19/0.54 nil=sk1|~nil=sk2),
% 0.19/0.54 inference(forward_demodulation,[status(thm)],[f431,f484])).
% 0.19/0.54 fof(f486,plain,(
% 0.19/0.54 ssItem(sk5)|~neq(sk2,nil)),
% 0.19/0.54 inference(forward_demodulation,[status(thm)],[f431,f435])).
% 0.19/0.54 fof(f488,plain,(
% 0.19/0.54 ssItem(sk5)|~ssList(nil)|~ssList(sk2)|sk2=nil),
% 0.19/0.54 inference(resolution,[status(thm)],[f486,f299])).
% 0.19/0.54 fof(f489,plain,(
% 0.19/0.54 ssItem(sk5)|~ssList(sk2)|sk2=nil),
% 0.19/0.54 inference(forward_subsumption_resolution,[status(thm)],[f488,f204])).
% 0.19/0.54 fof(f490,plain,(
% 0.19/0.54 cons(sk5,nil)=sk1|~neq(sk4,nil)),
% 0.19/0.54 inference(forward_demodulation,[status(thm)],[f432,f436])).
% 0.19/0.54 fof(f491,plain,(
% 0.19/0.54 cons(sk5,nil)=sk1|~neq(sk2,nil)),
% 0.19/0.54 inference(forward_demodulation,[status(thm)],[f431,f490])).
% 0.19/0.54 fof(f493,plain,(
% 0.19/0.54 cons(sk5,nil)=sk1|~ssList(nil)|~ssList(sk2)|sk2=nil),
% 0.19/0.54 inference(resolution,[status(thm)],[f491,f299])).
% 0.19/0.54 fof(f494,plain,(
% 0.19/0.54 cons(sk5,nil)=sk1|~ssList(sk2)|sk2=nil),
% 0.19/0.54 inference(forward_subsumption_resolution,[status(thm)],[f493,f204])).
% 0.19/0.54 fof(f515,plain,(
% 0.19/0.54 ssItem(sk5)|sk2=nil),
% 0.19/0.54 inference(forward_subsumption_resolution,[status(thm)],[f489,f428])).
% 0.19/0.54 fof(f533,plain,(
% 0.19/0.54 cons(sk5,nil)=sk1|sk2=nil),
% 0.19/0.54 inference(forward_subsumption_resolution,[status(thm)],[f494,f428])).
% 0.19/0.54 fof(f534,plain,(
% 0.19/0.54 ~ssItem(sk5)|totalorderedP(sk1)|sk2=nil),
% 0.19/0.54 inference(paramodulation,[status(thm)],[f533,f263])).
% 0.19/0.54 fof(f540,plain,(
% 0.19/0.54 totalorderedP(sk1)|sk2=nil),
% 0.19/0.54 inference(forward_subsumption_resolution,[status(thm)],[f534,f515])).
% 0.19/0.54 fof(f598,plain,(
% 0.19/0.54 nil=sk1|~nil=nil),
% 0.19/0.54 inference(backward_demodulation,[status(thm)],[f601,f485])).
% 0.19/0.56 fof(f601,plain,(
% 0.19/0.56 sk2=nil),
% 0.19/0.56 inference(forward_subsumption_resolution,[status(thm)],[f540,f433])).
% 0.19/0.56 fof(f603,plain,(
% 0.19/0.56 nil=sk1),
% 0.19/0.56 inference(trivial_equality_resolution,[status(thm)],[f598])).
% 0.19/0.56 fof(f609,plain,(
% 0.19/0.56 ~totalorderedP(nil)),
% 0.19/0.56 inference(backward_demodulation,[status(thm)],[f603,f433])).
% 0.19/0.56 fof(f612,plain,(
% 0.19/0.56 $false),
% 0.19/0.56 inference(forward_subsumption_resolution,[status(thm)],[f609,f200])).
% 0.19/0.56 % SZS output end CNFRefutation for theBenchmark.p
% 0.23/0.59 % Elapsed time: 0.117246 seconds
% 0.23/0.59 % CPU time: 0.254649 seconds
% 0.23/0.59 % Total memory used: 53.057 MB
% 0.23/0.59 % Net memory used: 52.896 MB
%------------------------------------------------------------------------------