%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SWC006-1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n004.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 02:39:33 PM UTC 2026
% Result : Unsatisfiable 0.15s 5.42s
% Output : CNFRefutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 8
% Syntax : Number of formulae : 25 ( 18 unt; 0 def)
% Number of atoms : 46 ( 18 equ)
% Maximal formula atoms : 5 ( 1 avg)
% Number of connectives : 50 ( 29 ~; 21 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 7 con; 0-2 aty)
% Number of variables : 9 ( 9 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f190,negated_conjecture,
sk2 = sk4,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f191,negated_conjecture,
sk1 = sk3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f192,negated_conjecture,
! [A,B,C] :
( app(A,C) != sk1
| app(app(A,B),C) != sk2
| ~ ssList(C)
| ~ ssList(B)
| ~ ssList(A) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f193,negated_conjecture,
ssList(sk5),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f194,negated_conjecture,
ssList(sk6),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f195,negated_conjecture,
ssList(sk7),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f196,negated_conjecture,
app(app(sk5,sk6),sk7) = sk4,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f197,negated_conjecture,
app(sk5,sk7) = sk3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f432,plain,
sk2 = sk4,
inference(cnf_transformation,[status(thm)],[f190]) ).
fof(f433,plain,
sk1 = sk3,
inference(cnf_transformation,[status(thm)],[f191]) ).
fof(f434,plain,
! [A,C] :
( app(A,C) != sk1
| ! [B] :
( app(app(A,B),C) != sk2
| ~ ssList(C)
| ~ ssList(B)
| ~ ssList(A) ) ),
inference(miniscoping,[status(thm)],[f192]) ).
fof(f435,plain,
! [X0,X1,X2] :
( app(X0,X2) != sk1
| app(app(X0,X1),X2) != sk2
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[status(thm)],[f434]) ).
fof(f436,plain,
ssList(sk5),
inference(cnf_transformation,[status(thm)],[f193]) ).
fof(f437,plain,
ssList(sk6),
inference(cnf_transformation,[status(thm)],[f194]) ).
fof(f438,plain,
ssList(sk7),
inference(cnf_transformation,[status(thm)],[f195]) ).
fof(f439,plain,
app(app(sk5,sk6),sk7) = sk4,
inference(cnf_transformation,[status(thm)],[f196]) ).
fof(f440,plain,
app(sk5,sk7) = sk3,
inference(cnf_transformation,[status(thm)],[f197]) ).
fof(f472,plain,
app(sk5,sk7) = sk1,
inference(forward_demodulation,[status(thm)],[f433,f440]) ).
fof(f476,plain,
app(app(sk5,sk6),sk7) = sk2,
inference(forward_demodulation,[status(thm)],[f432,f439]) ).
fof(f484,plain,
( app(sk5,sk7) != sk1
| ~ ssList(sk7)
| ~ ssList(sk6)
| ~ ssList(sk5) ),
inference(resolution,[status(thm)],[f435,f476]) ).
fof(f488,plain,
( sk1 != sk1
| ~ ssList(sk7)
| ~ ssList(sk6)
| ~ ssList(sk5) ),
inference(forward_demodulation,[status(thm)],[f472,f484]) ).
fof(f489,plain,
( ~ ssList(sk7)
| ~ ssList(sk6)
| ~ ssList(sk5) ),
inference(trivial_equality_resolution,[status(thm)],[f488]) ).
fof(f490,plain,
( ~ ssList(sk7)
| ~ ssList(sk6) ),
inference(forward_subsumption_resolution,[status(thm)],[f489,f436]) ).
fof(f497,plain,
~ ssList(sk7),
inference(forward_subsumption_resolution,[status(thm)],[f490,f437]) ).
fof(f498,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[f438,f497]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWC006-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/5.38 % Computer : n004.cluster.edu
% 0.10/5.38 % Model : x86_64 x86_64
% 0.10/5.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/5.38 % Memory : 8046.5625MB
% 0.10/5.38 % OS : Linux 6.8.0-71-generic
% 0.10/5.38 % CPULimit : 300
% 0.10/5.38 % WCLimit : 300
% 0.10/5.38 % DateTime : Mon Sep 21 07:48:40 UTC 2026
% 0.10/5.38 % CPUTime :
% 0.10/5.40 % Drodi V4.1.1
% 0.15/5.42 % Refutation found
% 0.15/5.42 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.15/5.42 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.15/5.44 % Elapsed time: 0.057261 seconds
% 0.15/5.44 % CPU time: 0.154915 seconds
% 0.15/5.44 % Total memory used: 91.765 MB
% 0.15/5.44 % Net memory used: 91.636 MB
%------------------------------------------------------------------------------