%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SWC127-1 : 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 : n001.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 02:41:39 PM UTC 2026
% Result : Unsatisfiable 0.13s 0.41s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWC127-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.35 % Computer : n001.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Mon Sep 21 08:03:29 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.08/0.37 % Drodi V4.1.1
% 0.13/0.41 % Refutation found
% 0.13/0.41 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.13/0.41 % SZS output start CNFRefutation for theBenchmark
% 0.13/0.41 fof(f8,axiom,(
% 0.13/0.41 ssList(nil) ),
% 0.13/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.41 fof(f11,axiom,(
% 0.13/0.41 ~ singletonP(nil) ),
% 0.13/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.41 fof(f100,axiom,(
% 0.13/0.41 (![U,V]: (( ~ ssList(U)| ~ ssList(V)| neq(V,U)| V = U ) ))),
% 0.13/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.41 fof(f186,negated_conjecture,(
% 0.13/0.41 ssList(sk1) ),
% 0.13/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.41 fof(f190,negated_conjecture,(
% 0.13/0.41 sk2 = sk4 ),
% 0.13/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.41 fof(f191,negated_conjecture,(
% 0.13/0.41 sk1 = sk3 ),
% 0.13/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.41 fof(f192,negated_conjecture,(
% 0.13/0.41 neq(sk2,nil) ),
% 0.13/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.41 fof(f193,negated_conjecture,(
% 0.13/0.41 segmentP(sk4,sk3) ),
% 0.13/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.41 fof(f194,negated_conjecture,(
% 0.13/0.41 ( singletonP(sk3)| ~ neq(sk4,nil) ) ),
% 0.13/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.41 fof(f195,negated_conjecture,(
% 0.13/0.41 ( ~ neq(sk1,nil)| ~ segmentP(sk2,sk1) ) ),
% 0.13/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.41 fof(f203,plain,(
% 0.13/0.41 ssList(nil)),
% 0.13/0.41 inference(cnf_transformation,[status(thm)],[f8])).
% 0.13/0.41 fof(f206,plain,(
% 0.13/0.41 ~singletonP(nil)),
% 0.13/0.41 inference(cnf_transformation,[status(thm)],[f11])).
% 0.13/0.41 fof(f298,plain,(
% 0.13/0.41 ![X0,X1]: (~ssList(X0)|~ssList(X1)|neq(X1,X0)|X1=X0)),
% 0.13/0.41 inference(cnf_transformation,[status(thm)],[f100])).
% 0.13/0.41 fof(f426,plain,(
% 0.13/0.41 ssList(sk1)),
% 0.13/0.41 inference(cnf_transformation,[status(thm)],[f186])).
% 0.13/0.41 fof(f430,plain,(
% 0.13/0.41 sk2=sk4),
% 0.13/0.41 inference(cnf_transformation,[status(thm)],[f190])).
% 0.13/0.41 fof(f431,plain,(
% 0.13/0.41 sk1=sk3),
% 0.13/0.41 inference(cnf_transformation,[status(thm)],[f191])).
% 0.13/0.41 fof(f432,plain,(
% 0.13/0.41 neq(sk2,nil)),
% 0.13/0.41 inference(cnf_transformation,[status(thm)],[f192])).
% 0.13/0.41 fof(f433,plain,(
% 0.13/0.41 segmentP(sk4,sk3)),
% 0.13/0.41 inference(cnf_transformation,[status(thm)],[f193])).
% 0.13/0.41 fof(f434,plain,(
% 0.13/0.41 singletonP(sk3)|~neq(sk4,nil)),
% 0.13/0.41 inference(cnf_transformation,[status(thm)],[f194])).
% 0.13/0.41 fof(f435,plain,(
% 0.13/0.41 ~neq(sk1,nil)|~segmentP(sk2,sk1)),
% 0.13/0.41 inference(cnf_transformation,[status(thm)],[f195])).
% 0.13/0.41 fof(f469,plain,(
% 0.13/0.41 segmentP(sk2,sk3)),
% 0.13/0.41 inference(forward_demodulation,[status(thm)],[f430,f433])).
% 0.13/0.41 fof(f470,plain,(
% 0.13/0.41 segmentP(sk2,sk1)),
% 0.13/0.41 inference(forward_demodulation,[status(thm)],[f431,f469])).
% 0.13/0.41 fof(f478,plain,(
% 0.13/0.41 singletonP(sk1)|~neq(sk4,nil)),
% 0.13/0.41 inference(forward_demodulation,[status(thm)],[f431,f434])).
% 0.13/0.41 fof(f479,plain,(
% 0.13/0.41 singletonP(sk1)|~neq(sk2,nil)),
% 0.13/0.41 inference(forward_demodulation,[status(thm)],[f430,f478])).
% 0.13/0.41 fof(f480,plain,(
% 0.13/0.41 singletonP(sk1)),
% 0.13/0.41 inference(forward_subsumption_resolution,[status(thm)],[f479,f432])).
% 0.13/0.41 fof(f481,plain,(
% 0.13/0.41 ~neq(sk1,nil)),
% 0.13/0.41 inference(forward_subsumption_resolution,[status(thm)],[f435,f470])).
% 0.13/0.41 fof(f483,plain,(
% 0.13/0.41 ~ssList(nil)|~ssList(sk1)|sk1=nil),
% 0.13/0.41 inference(resolution,[status(thm)],[f481,f298])).
% 0.13/0.41 fof(f484,plain,(
% 0.13/0.41 ~ssList(sk1)|sk1=nil),
% 0.13/0.41 inference(forward_subsumption_resolution,[status(thm)],[f483,f203])).
% 0.13/0.41 fof(f489,plain,(
% 0.13/0.41 singletonP(nil)),
% 0.13/0.41 inference(backward_demodulation,[status(thm)],[f493,f480])).
% 0.13/0.41 fof(f493,plain,(
% 0.13/0.41 sk1=nil),
% 0.13/0.41 inference(forward_subsumption_resolution,[status(thm)],[f484,f426])).
% 0.13/0.41 fof(f494,plain,(
% 0.13/0.41 $false),
% 0.13/0.41 inference(forward_subsumption_resolution,[status(thm)],[f489,f206])).
% 0.13/0.41 % SZS output end CNFRefutation for theBenchmark.p
% 0.13/0.43 % Elapsed time: 0.070408 seconds
% 0.13/0.43 % CPU time: 0.168445 seconds
% 0.13/0.43 % Total memory used: 108.608 MB
% 0.13/0.43 % Net memory used: 108.446 MB
%------------------------------------------------------------------------------