%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SWC339-1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n020.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 02:40:51 PM UTC 2026
% Result : Unsatisfiable 0.19s 0.49s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 10
% Syntax : Number of formulae : 33 ( 19 unt; 0 def)
% Number of atoms : 71 ( 9 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 84 ( 46 ~; 38 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 6 con; 0-2 aty)
% Number of variables : 15 ( 15 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f173,axiom,
! [U,V,W,X] :
( segmentP(X,V)
| ~ ssList(X)
| ~ ssList(V)
| ~ ssList(U)
| ~ ssList(W)
| app(app(U,V),W) != X ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f188,negated_conjecture,
ssList(sk3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f189,negated_conjecture,
ssList(sk4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
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,
ssList(sk5),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f193,negated_conjecture,
ssList(sk6),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f194,negated_conjecture,
app(app(sk5,sk3),sk6) = sk4,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f195,negated_conjecture,
totalorderedP(sk3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f199,negated_conjecture,
( ~ totalorderedP(sk1)
| ~ segmentP(sk2,sk1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f405,plain,
! [V,X] :
( segmentP(X,V)
| ~ ssList(X)
| ~ ssList(V)
| ! [U] :
( ~ ssList(U)
| ! [W] :
( ~ ssList(W)
| app(app(U,V),W) != X ) ) ),
inference(miniscoping,[status(thm)],[f173]) ).
fof(f406,plain,
! [X0,X1,X2,X3] :
( segmentP(X3,X1)
| ~ ssList(X3)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(X2)
| app(app(X0,X1),X2) != X3 ),
inference(cnf_transformation,[status(thm)],[f405]) ).
fof(f432,plain,
ssList(sk3),
inference(cnf_transformation,[status(thm)],[f188]) ).
fof(f433,plain,
ssList(sk4),
inference(cnf_transformation,[status(thm)],[f189]) ).
fof(f434,plain,
sk2 = sk4,
inference(cnf_transformation,[status(thm)],[f190]) ).
fof(f435,plain,
sk1 = sk3,
inference(cnf_transformation,[status(thm)],[f191]) ).
fof(f436,plain,
ssList(sk5),
inference(cnf_transformation,[status(thm)],[f192]) ).
fof(f437,plain,
ssList(sk6),
inference(cnf_transformation,[status(thm)],[f193]) ).
fof(f438,plain,
app(app(sk5,sk3),sk6) = sk4,
inference(cnf_transformation,[status(thm)],[f194]) ).
fof(f439,plain,
totalorderedP(sk3),
inference(cnf_transformation,[status(thm)],[f195]) ).
fof(f445,plain,
( ~ totalorderedP(sk1)
| ~ segmentP(sk2,sk1) ),
inference(cnf_transformation,[status(thm)],[f199]) ).
fof(f464,plain,
! [X0,X1,X2] :
( segmentP(app(app(X1,X2),X0),X2)
| ~ ssList(app(app(X1,X2),X0))
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(destructive_equality_resolution,[status(thm)],[f406]) ).
fof(f477,plain,
( ~ totalorderedP(sk1)
| ~ segmentP(sk4,sk1) ),
inference(forward_demodulation,[status(thm)],[f434,f445]) ).
fof(f478,plain,
( ~ totalorderedP(sk1)
| ~ segmentP(sk4,sk3) ),
inference(forward_demodulation,[status(thm)],[f435,f477]) ).
fof(f479,plain,
( ~ totalorderedP(sk3)
| ~ segmentP(sk4,sk3) ),
inference(forward_demodulation,[status(thm)],[f435,f478]) ).
fof(f480,plain,
~ segmentP(sk4,sk3),
inference(forward_subsumption_resolution,[status(thm)],[f479,f439]) ).
fof(f607,plain,
( segmentP(sk4,sk3)
| ~ ssList(app(app(sk5,sk3),sk6))
| ~ ssList(sk3)
| ~ ssList(sk5)
| ~ ssList(sk6) ),
inference(paramodulation,[status(thm)],[f438,f464]) ).
fof(f611,plain,
( segmentP(sk4,sk3)
| ~ ssList(sk4)
| ~ ssList(sk3)
| ~ ssList(sk5)
| ~ ssList(sk6) ),
inference(forward_demodulation,[status(thm)],[f438,f607]) ).
fof(f612,plain,
( segmentP(sk4,sk3)
| ~ ssList(sk4)
| ~ ssList(sk3)
| ~ ssList(sk5) ),
inference(forward_subsumption_resolution,[status(thm)],[f611,f437]) ).
fof(f615,plain,
( segmentP(sk4,sk3)
| ~ ssList(sk4)
| ~ ssList(sk3) ),
inference(forward_subsumption_resolution,[status(thm)],[f612,f436]) ).
fof(f616,plain,
( ~ ssList(sk4)
| ~ ssList(sk3) ),
inference(resolution,[status(thm)],[f615,f480]) ).
fof(f621,plain,
~ ssList(sk4),
inference(forward_subsumption_resolution,[status(thm)],[f616,f432]) ).
fof(f630,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f621,f433]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SWC339-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.06 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.43 % Computer : n020.cluster.edu
% 0.19/0.43 % Model : x86_64 x86_64
% 0.19/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.19/0.43 % Memory : 8046.5625MB
% 0.19/0.43 % OS : Linux 6.8.0-71-generic
% 0.19/0.44 % CPULimit : 300
% 0.19/0.44 % WCLimit : 300
% 0.19/0.44 % DateTime : Mon Sep 21 08:18:02 UTC 2026
% 0.19/0.44 % CPUTime :
% 0.19/0.46 % Drodi V4.1.1
% 0.19/0.49 % Refutation found
% 0.19/0.49 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.19/0.49 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.22/0.53 % Elapsed time: 0.074997 seconds
% 0.22/0.53 % CPU time: 0.203513 seconds
% 0.22/0.53 % Total memory used: 71.917 MB
% 0.22/0.53 % Net memory used: 71.801 MB
%------------------------------------------------------------------------------