%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SWC044-1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n017.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 02:39:43 PM UTC 2026
% Result : Unsatisfiable 0.13s 0.39s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 9
% Syntax : Number of formulae : 30 ( 18 unt; 2 def)
% Number of atoms : 46 ( 18 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 34 ( 18 ~; 14 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 3 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 5 con; 0-0 aty)
% Number of variables : 4 ( 4 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f82,axiom,
! [U] :
( nil = U
| ~ ssList(U)
| ~ rearsegP(nil,U) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f188,negated_conjecture,
ssList(sk3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f190,negated_conjecture,
nil = sk2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f191,negated_conjecture,
sk2 = sk4,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f192,negated_conjecture,
sk1 = sk3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f193,negated_conjecture,
rearsegP(sk4,sk3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f194,negated_conjecture,
nil != sk1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f277,plain,
! [X0] :
( nil = X0
| ~ ssList(X0)
| ~ rearsegP(nil,X0) ),
inference(cnf_transformation,[status(thm)],[f82]) ).
fof(f427,plain,
ssList(sk3),
inference(cnf_transformation,[status(thm)],[f188]) ).
fof(f429,plain,
nil = sk2,
inference(cnf_transformation,[status(thm)],[f190]) ).
fof(f430,plain,
sk2 = sk4,
inference(cnf_transformation,[status(thm)],[f191]) ).
fof(f431,plain,
sk1 = sk3,
inference(cnf_transformation,[status(thm)],[f192]) ).
fof(f432,plain,
rearsegP(sk4,sk3),
inference(cnf_transformation,[status(thm)],[f193]) ).
fof(f433,plain,
nil != sk1,
inference(cnf_transformation,[status(thm)],[f194]) ).
fof(f470,plain,
nil = sk4,
inference(backward_demodulation,[status(thm)],[f430,f429]) ).
fof(f473,plain,
nil != sk3,
inference(forward_demodulation,[status(thm)],[f431,f433]) ).
fof(f474,plain,
sk4 != sk3,
inference(backward_demodulation,[status(thm)],[f470,f473]) ).
fof(f480,plain,
! [X0] :
( nil = X0
| ~ ssList(X0)
| ~ rearsegP(sk4,X0) ),
inference(forward_demodulation,[status(thm)],[f470,f277]) ).
fof(f481,plain,
! [X0] :
( sk4 = X0
| ~ ssList(X0)
| ~ rearsegP(sk4,X0) ),
inference(forward_demodulation,[status(thm)],[f470,f480]) ).
fof(f482,plain,
( sk4 = sk3
| ~ ssList(sk3) ),
inference(resolution,[status(thm)],[f481,f432]) ).
fof(f485,definition,
( sQ2_spl
<=> ssList(sk3) ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f487,plain,
( sQ2_spl
| ~ ssList(sk3) ),
inference(component_clause,[status(thm)],[f485]) ).
fof(f488,definition,
( sQ3_spl
<=> sk4 = sk3 ),
introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).
fof(f489,plain,
( ~ sQ3_spl
| sk4 = sk3 ),
inference(component_clause,[status(thm)],[f488]) ).
fof(f491,plain,
( sQ3_spl
| ~ sQ2_spl ),
inference(split_clause,[status(thm)],[f482,f485,f488]) ).
fof(f502,plain,
( sQ2_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f487,f427]) ).
fof(f503,plain,
sQ2_spl,
inference(contradiction_clause,[status(thm)],[f502]) ).
fof(f504,plain,
( ~ sQ3_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f489,f474]) ).
fof(f505,plain,
~ sQ3_spl,
inference(contradiction_clause,[status(thm)],[f504]) ).
fof(f506,plain,
$false,
inference(sat_refutation,[status(thm)],[f491,f503,f505]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWC044-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.37 % Computer : n017.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Mon Sep 21 07:46:57 UTC 2026
% 0.13/0.37 % CPUTime :
% 0.13/0.39 % Drodi V4.1.1
% 0.13/0.39 % Refutation found
% 0.13/0.39 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.13/0.39 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.13/0.43 % Elapsed time: 0.049773 seconds
% 0.13/0.43 % CPU time: 0.091239 seconds
% 0.13/0.43 % Total memory used: 17.008 MB
% 0.13/0.43 % Net memory used: 16.979 MB
%------------------------------------------------------------------------------