%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SWC102-1 : 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 : n016.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 02:41:35 PM UTC 2026
% Result : Unsatisfiable 0.09s 0.41s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWC102-1 : 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 : n016.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 08:00:38 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.38 % Drodi V4.1.1
% 0.09/0.41 % Refutation found
% 0.09/0.41 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.09/0.41 % SZS output start CNFRefutation for theBenchmark
% 0.09/0.41 fof(f61,axiom,(
% 0.09/0.41 (![U]: (( ~ ssList(U)| frontsegP(U,U) ) ))),
% 0.09/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.41 fof(f189,negated_conjecture,(
% 0.09/0.41 ssList(sk4) ),
% 0.09/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.41 fof(f190,negated_conjecture,(
% 0.09/0.41 sk2 = sk4 ),
% 0.09/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.41 fof(f191,negated_conjecture,(
% 0.09/0.41 sk1 = sk3 ),
% 0.09/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.41 fof(f192,negated_conjecture,(
% 0.09/0.41 sk4 = sk3 ),
% 0.09/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.41 fof(f193,negated_conjecture,(
% 0.09/0.41 neq(sk2,nil) ),
% 0.09/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.41 fof(f194,negated_conjecture,(
% 0.09/0.41 ( ~ neq(sk1,nil)| ~ frontsegP(sk2,sk1) ) ),
% 0.09/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.41 fof(f255,plain,(
% 0.09/0.41 ![X0]: (~ssList(X0)|frontsegP(X0,X0))),
% 0.09/0.41 inference(cnf_transformation,[status(thm)],[f61])).
% 0.09/0.41 fof(f428,plain,(
% 0.09/0.41 ssList(sk4)),
% 0.09/0.41 inference(cnf_transformation,[status(thm)],[f189])).
% 0.09/0.41 fof(f429,plain,(
% 0.09/0.41 sk2=sk4),
% 0.09/0.41 inference(cnf_transformation,[status(thm)],[f190])).
% 0.09/0.41 fof(f430,plain,(
% 0.09/0.41 sk1=sk3),
% 0.09/0.41 inference(cnf_transformation,[status(thm)],[f191])).
% 0.09/0.41 fof(f431,plain,(
% 0.09/0.41 sk4=sk3),
% 0.09/0.41 inference(cnf_transformation,[status(thm)],[f192])).
% 0.09/0.41 fof(f432,plain,(
% 0.09/0.41 neq(sk2,nil)),
% 0.09/0.41 inference(cnf_transformation,[status(thm)],[f193])).
% 0.09/0.41 fof(f433,plain,(
% 0.09/0.41 ~neq(sk1,nil)|~frontsegP(sk2,sk1)),
% 0.09/0.41 inference(cnf_transformation,[status(thm)],[f194])).
% 0.09/0.41 fof(f441,definition,(
% 0.09/0.41 sQ2_spl <=> (neq(sk1,nil))),
% 0.09/0.41 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 0.09/0.41 fof(f443,plain,(
% 0.09/0.41 ~neq(sk1,nil)|sQ2_spl),
% 0.09/0.41 inference(component_clause,[status(thm)],[f441])).
% 0.09/0.41 fof(f444,definition,(
% 0.09/0.41 sQ3_spl <=> (frontsegP(sk2,sk1))),
% 0.09/0.41 introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition])).
% 0.09/0.41 fof(f446,plain,(
% 0.09/0.41 ~frontsegP(sk2,sk1)|sQ3_spl),
% 0.09/0.41 inference(component_clause,[status(thm)],[f444])).
% 0.09/0.41 fof(f447,plain,(
% 0.09/0.41 ~sQ2_spl|~sQ3_spl),
% 0.09/0.41 inference(split_clause,[status(thm)],[f433,f441,f444])).
% 0.09/0.41 fof(f479,plain,(
% 0.09/0.41 sk1=sk4),
% 0.09/0.41 inference(backward_demodulation,[status(thm)],[f431,f430])).
% 0.09/0.41 fof(f481,plain,(
% 0.09/0.41 neq(sk4,nil)),
% 0.09/0.41 inference(forward_demodulation,[status(thm)],[f429,f432])).
% 0.09/0.41 fof(f482,plain,(
% 0.09/0.41 ~neq(sk4,nil)|sQ2_spl),
% 0.09/0.41 inference(forward_demodulation,[status(thm)],[f479,f443])).
% 0.09/0.41 fof(f483,plain,(
% 0.09/0.41 $false|sQ2_spl),
% 0.09/0.41 inference(forward_subsumption_resolution,[status(thm)],[f482,f481])).
% 0.09/0.41 fof(f484,plain,(
% 0.09/0.41 sQ2_spl),
% 0.09/0.41 inference(contradiction_clause,[status(thm)],[f483])).
% 0.09/0.41 fof(f485,plain,(
% 0.09/0.41 ~frontsegP(sk4,sk1)|sQ3_spl),
% 0.09/0.41 inference(forward_demodulation,[status(thm)],[f429,f446])).
% 0.09/0.41 fof(f486,plain,(
% 0.09/0.41 ~frontsegP(sk4,sk4)|sQ3_spl),
% 0.09/0.41 inference(forward_demodulation,[status(thm)],[f479,f485])).
% 0.09/0.41 fof(f489,plain,(
% 0.09/0.41 frontsegP(sk4,sk4)),
% 0.09/0.41 inference(resolution,[status(thm)],[f255,f428])).
% 0.09/0.41 fof(f490,plain,(
% 0.09/0.41 $false|sQ3_spl),
% 0.09/0.41 inference(forward_subsumption_resolution,[status(thm)],[f489,f486])).
% 0.09/0.41 fof(f491,plain,(
% 0.09/0.41 sQ3_spl),
% 0.09/0.41 inference(contradiction_clause,[status(thm)],[f490])).
% 0.09/0.41 fof(f492,plain,(
% 0.09/0.41 $false),
% 0.09/0.41 inference(sat_refutation,[status(thm)],[f447,f484,f491])).
% 0.09/0.41 % SZS output end CNFRefutation for theBenchmark.p
% 0.09/0.43 % Elapsed time: 0.059159 seconds
% 0.09/0.43 % CPU time: 0.160421 seconds
% 0.09/0.43 % Total memory used: 91.501 MB
% 0.09/0.43 % Net memory used: 91.345 MB
%------------------------------------------------------------------------------