%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SWC069-1 : 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 : n007.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 02:41:30 PM UTC 2026
% Result : Unsatisfiable 0.14s 0.40s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWC069-1 : 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 : n007.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 07:51:05 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.37 % Drodi V4.1.1
% 0.14/0.40 % Refutation found
% 0.14/0.40 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.14/0.40 % SZS output start CNFRefutation for theBenchmark
% 0.14/0.40 fof(f8,axiom,(
% 0.14/0.40 ssList(nil) ),
% 0.14/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.40 fof(f100,axiom,(
% 0.14/0.40 (![U,V]: (( ~ ssList(U)| ~ ssList(V)| neq(V,U)| V = U ) ))),
% 0.14/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.40 fof(f187,negated_conjecture,(
% 0.14/0.40 ssList(sk2) ),
% 0.14/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.40 fof(f190,negated_conjecture,(
% 0.14/0.40 sk2 = sk4 ),
% 0.14/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.40 fof(f191,negated_conjecture,(
% 0.14/0.40 sk1 = sk3 ),
% 0.14/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.40 fof(f192,negated_conjecture,(
% 0.14/0.40 (![A]: (( ~ ssList(A)| ~ neq(A,nil)| ~ segmentP(sk2,A)| ~ segmentP(sk1,A) ) ))),
% 0.14/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.40 fof(f193,negated_conjecture,(
% 0.14/0.40 ( nil = sk3| nil != sk4 ) ),
% 0.14/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.40 fof(f194,negated_conjecture,(
% 0.14/0.40 ( nil != sk2| nil != sk1 ) ),
% 0.14/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.40 fof(f195,negated_conjecture,(
% 0.14/0.40 ( ssList(sk5)| ~ neq(sk4,nil) ) ),
% 0.14/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.40 fof(f196,negated_conjecture,(
% 0.14/0.40 ( neq(sk5,nil)| ~ neq(sk4,nil) ) ),
% 0.14/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.40 fof(f197,negated_conjecture,(
% 0.14/0.40 ( segmentP(sk4,sk5)| ~ neq(sk4,nil) ) ),
% 0.14/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.40 fof(f198,negated_conjecture,(
% 0.14/0.40 ( segmentP(sk3,sk5)| ~ neq(sk4,nil) ) ),
% 0.14/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.40 fof(f206,plain,(
% 0.14/0.40 ssList(nil)),
% 0.14/0.40 inference(cnf_transformation,[status(thm)],[f8])).
% 0.14/0.40 fof(f301,plain,(
% 0.14/0.40 ![X0,X1]: (~ssList(X0)|~ssList(X1)|neq(X1,X0)|X1=X0)),
% 0.14/0.40 inference(cnf_transformation,[status(thm)],[f100])).
% 0.14/0.40 fof(f430,plain,(
% 0.14/0.40 ssList(sk2)),
% 0.14/0.40 inference(cnf_transformation,[status(thm)],[f187])).
% 0.14/0.40 fof(f433,plain,(
% 0.14/0.40 sk2=sk4),
% 0.14/0.40 inference(cnf_transformation,[status(thm)],[f190])).
% 0.14/0.40 fof(f434,plain,(
% 0.14/0.40 sk1=sk3),
% 0.14/0.40 inference(cnf_transformation,[status(thm)],[f191])).
% 0.14/0.40 fof(f435,plain,(
% 0.14/0.40 ![X0]: (~ssList(X0)|~neq(X0,nil)|~segmentP(sk2,X0)|~segmentP(sk1,X0))),
% 0.14/0.40 inference(cnf_transformation,[status(thm)],[f192])).
% 0.14/0.40 fof(f436,plain,(
% 0.14/0.40 nil=sk3|~nil=sk4),
% 0.14/0.40 inference(cnf_transformation,[status(thm)],[f193])).
% 0.14/0.40 fof(f437,plain,(
% 0.14/0.40 ~nil=sk2|~nil=sk1),
% 0.14/0.40 inference(cnf_transformation,[status(thm)],[f194])).
% 0.14/0.40 fof(f438,plain,(
% 0.14/0.40 ssList(sk5)|~neq(sk4,nil)),
% 0.14/0.40 inference(cnf_transformation,[status(thm)],[f195])).
% 0.14/0.40 fof(f439,plain,(
% 0.14/0.40 neq(sk5,nil)|~neq(sk4,nil)),
% 0.14/0.40 inference(cnf_transformation,[status(thm)],[f196])).
% 0.14/0.40 fof(f440,plain,(
% 0.14/0.40 segmentP(sk4,sk5)|~neq(sk4,nil)),
% 0.14/0.40 inference(cnf_transformation,[status(thm)],[f197])).
% 0.14/0.40 fof(f441,plain,(
% 0.14/0.40 segmentP(sk3,sk5)|~neq(sk4,nil)),
% 0.14/0.40 inference(cnf_transformation,[status(thm)],[f198])).
% 0.14/0.40 fof(f476,plain,(
% 0.14/0.40 ![X0]: (~ssList(X0)|neq(sk2,X0)|sk2=X0)),
% 0.14/0.40 inference(resolution,[status(thm)],[f301,f430])).
% 0.14/0.40 fof(f502,plain,(
% 0.14/0.40 nil=sk1|~nil=sk4),
% 0.14/0.40 inference(forward_demodulation,[status(thm)],[f434,f436])).
% 0.14/0.40 fof(f503,plain,(
% 0.14/0.40 nil=sk1|~nil=sk2),
% 0.14/0.40 inference(forward_demodulation,[status(thm)],[f433,f502])).
% 0.14/0.40 fof(f504,plain,(
% 0.14/0.40 ~nil=sk2),
% 0.14/0.40 inference(forward_subsumption_resolution,[status(thm)],[f437,f503])).
% 0.14/0.40 fof(f505,plain,(
% 0.14/0.40 ssList(sk5)|~neq(sk2,nil)),
% 0.14/0.40 inference(forward_demodulation,[status(thm)],[f433,f438])).
% 0.14/0.40 fof(f519,plain,(
% 0.14/0.40 neq(sk5,nil)|~neq(sk2,nil)),
% 0.14/0.40 inference(forward_demodulation,[status(thm)],[f433,f439])).
% 0.14/0.40 fof(f520,plain,(
% 0.14/0.40 ~neq(sk2,nil)|~ssList(sk5)|~segmentP(sk2,sk5)|~segmentP(sk1,sk5)),
% 0.14/0.40 inference(resolution,[status(thm)],[f519,f435])).
% 0.14/0.40 fof(f521,plain,(
% 0.14/0.40 ~neq(sk2,nil)|~segmentP(sk2,sk5)|~segmentP(sk1,sk5)),
% 0.14/0.40 inference(forward_subsumption_resolution,[status(thm)],[f520,f505])).
% 0.14/0.40 fof(f522,plain,(
% 0.14/0.40 segmentP(sk2,sk5)|~neq(sk4,nil)),
% 0.14/0.40 inference(forward_demodulation,[status(thm)],[f433,f440])).
% 0.14/0.40 fof(f523,plain,(
% 0.14/0.40 segmentP(sk2,sk5)|~neq(sk2,nil)),
% 0.14/0.40 inference(forward_demodulation,[status(thm)],[f433,f522])).
% 0.14/0.40 fof(f524,plain,(
% 0.14/0.40 segmentP(sk2,sk5)|~ssList(nil)|sk2=nil),
% 0.14/0.40 inference(resolution,[status(thm)],[f523,f476])).
% 0.14/0.40 fof(f525,plain,(
% 0.14/0.40 segmentP(sk2,sk5)|sk2=nil),
% 0.14/0.40 inference(forward_subsumption_resolution,[status(thm)],[f524,f206])).
% 0.14/0.40 fof(f537,plain,(
% 0.14/0.40 segmentP(sk1,sk5)|~neq(sk4,nil)),
% 0.14/0.40 inference(forward_demodulation,[status(thm)],[f434,f441])).
% 0.14/0.40 fof(f538,plain,(
% 0.14/0.40 segmentP(sk1,sk5)|~neq(sk2,nil)),
% 0.14/0.40 inference(forward_demodulation,[status(thm)],[f433,f537])).
% 0.14/0.40 fof(f539,plain,(
% 0.14/0.40 segmentP(sk1,sk5)|~ssList(nil)|sk2=nil),
% 0.14/0.40 inference(resolution,[status(thm)],[f538,f476])).
% 0.14/0.40 fof(f540,plain,(
% 0.14/0.40 segmentP(sk1,sk5)|sk2=nil),
% 0.14/0.40 inference(forward_subsumption_resolution,[status(thm)],[f539,f206])).
% 0.14/0.40 fof(f545,plain,(
% 0.14/0.40 segmentP(sk2,sk5)),
% 0.14/0.40 inference(forward_subsumption_resolution,[status(thm)],[f525,f504])).
% 0.14/0.40 fof(f550,plain,(
% 0.14/0.40 segmentP(sk1,sk5)),
% 0.14/0.40 inference(forward_subsumption_resolution,[status(thm)],[f540,f504])).
% 0.14/0.40 fof(f591,plain,(
% 0.14/0.40 ~neq(sk2,nil)|~segmentP(sk1,sk5)),
% 0.14/0.40 inference(forward_subsumption_resolution,[status(thm)],[f521,f545])).
% 0.14/0.40 fof(f592,plain,(
% 0.14/0.40 ~segmentP(sk1,sk5)|~ssList(nil)|sk2=nil),
% 0.14/0.40 inference(resolution,[status(thm)],[f591,f476])).
% 0.14/0.40 fof(f593,plain,(
% 0.14/0.40 ~ssList(nil)|sk2=nil),
% 0.14/0.40 inference(forward_subsumption_resolution,[status(thm)],[f592,f550])).
% 0.14/0.40 fof(f601,plain,(
% 0.14/0.40 ~nil=nil),
% 0.14/0.40 inference(backward_demodulation,[status(thm)],[f605,f504])).
% 0.14/0.40 fof(f605,plain,(
% 0.14/0.40 sk2=nil),
% 0.14/0.40 inference(forward_subsumption_resolution,[status(thm)],[f593,f206])).
% 0.14/0.40 fof(f612,plain,(
% 0.14/0.40 $false),
% 0.14/0.40 inference(trivial_equality_resolution,[status(thm)],[f601])).
% 0.14/0.40 % SZS output end CNFRefutation for theBenchmark.p
% 0.14/0.42 % Elapsed time: 0.056967 seconds
% 0.14/0.42 % CPU time: 0.209944 seconds
% 0.14/0.42 % Total memory used: 109.936 MB
% 0.14/0.42 % Net memory used: 109.729 MB
%------------------------------------------------------------------------------