%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SWC408-1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n002.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 02:41:07 PM UTC 2026
% Result : Unsatisfiable 0.14s 5.62s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 11
% Syntax : Number of formulae : 34 ( 20 unt; 3 def)
% Number of atoms : 59 ( 6 equ)
% Maximal formula atoms : 5 ( 1 avg)
% Number of connectives : 49 ( 24 ~; 22 |; 0 &)
% ( 3 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 4 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 5 con; 0-2 aty)
% Number of variables : 8 ( 8 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f140,axiom,
! [U,V,W] :
( memberP(app(U,W),V)
| ~ ssItem(V)
| ~ ssList(U)
| ~ ssList(W)
| ~ memberP(U,V) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f189,negated_conjecture,
ssList(sk4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f190,negated_conjecture,
app(sk4,sk4) = sk3,
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,
ssItem(sk5),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f194,negated_conjecture,
memberP(sk2,sk5),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f195,negated_conjecture,
~ memberP(sk1,sk5),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f350,plain,
! [X0,X1,X2] :
( memberP(app(X0,X2),X1)
| ~ ssItem(X1)
| ~ ssList(X0)
| ~ ssList(X2)
| ~ memberP(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f140]) ).
fof(f429,plain,
ssList(sk4),
inference(cnf_transformation,[status(thm)],[f189]) ).
fof(f430,plain,
app(sk4,sk4) = sk3,
inference(cnf_transformation,[status(thm)],[f190]) ).
fof(f431,plain,
sk2 = sk4,
inference(cnf_transformation,[status(thm)],[f191]) ).
fof(f432,plain,
sk1 = sk3,
inference(cnf_transformation,[status(thm)],[f192]) ).
fof(f433,plain,
ssItem(sk5),
inference(cnf_transformation,[status(thm)],[f193]) ).
fof(f434,plain,
memberP(sk2,sk5),
inference(cnf_transformation,[status(thm)],[f194]) ).
fof(f435,plain,
~ memberP(sk1,sk5),
inference(cnf_transformation,[status(thm)],[f195]) ).
fof(f474,plain,
memberP(sk4,sk5),
inference(forward_demodulation,[status(thm)],[f431,f434]) ).
fof(f475,plain,
~ memberP(sk3,sk5),
inference(forward_demodulation,[status(thm)],[f432,f435]) ).
fof(f477,definition,
( sQ2_spl
<=> ssList(sk4) ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f479,plain,
( sQ2_spl
| ~ ssList(sk4) ),
inference(component_clause,[status(thm)],[f477]) ).
fof(f484,plain,
( sQ2_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f479,f429]) ).
fof(f485,plain,
sQ2_spl,
inference(contradiction_clause,[status(thm)],[f484]) ).
fof(f486,plain,
! [X0,X1] :
( memberP(app(X0,X1),sk5)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ memberP(X0,sk5) ),
inference(resolution,[status(thm)],[f350,f433]) ).
fof(f490,plain,
( memberP(sk3,sk5)
| ~ ssList(sk4)
| ~ ssList(sk4)
| ~ memberP(sk4,sk5) ),
inference(paramodulation,[status(thm)],[f430,f486]) ).
fof(f491,definition,
( sQ4_spl
<=> memberP(sk4,sk5) ),
introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).
fof(f493,plain,
( sQ4_spl
| ~ memberP(sk4,sk5) ),
inference(component_clause,[status(thm)],[f491]) ).
fof(f494,definition,
( sQ5_spl
<=> memberP(sk3,sk5) ),
introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).
fof(f495,plain,
( ~ sQ5_spl
| memberP(sk3,sk5) ),
inference(component_clause,[status(thm)],[f494]) ).
fof(f497,plain,
( sQ5_spl
| ~ sQ2_spl
| ~ sQ4_spl ),
inference(split_clause,[status(thm)],[f490,f491,f477,f494]) ).
fof(f498,plain,
( sQ4_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f493,f474]) ).
fof(f499,plain,
sQ4_spl,
inference(contradiction_clause,[status(thm)],[f498]) ).
fof(f500,plain,
( ~ sQ5_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f495,f475]) ).
fof(f501,plain,
~ sQ5_spl,
inference(contradiction_clause,[status(thm)],[f500]) ).
fof(f502,plain,
$false,
inference(sat_refutation,[status(thm)],[f485,f497,f499,f501]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWC408-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/5.59 % Computer : n002.cluster.edu
% 0.10/5.59 % Model : x86_64 x86_64
% 0.10/5.59 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/5.59 % Memory : 8046.5625MB
% 0.10/5.59 % OS : Linux 6.8.0-71-generic
% 0.10/5.59 % CPULimit : 300
% 0.10/5.59 % WCLimit : 300
% 0.10/5.59 % DateTime : Mon Sep 21 08:25:09 UTC 2026
% 0.10/5.59 % CPUTime :
% 0.14/5.61 % Drodi V4.1.1
% 0.14/5.62 % Refutation found
% 0.14/5.62 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.14/5.62 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.14/5.65 % Elapsed time: 0.056535 seconds
% 0.14/5.65 % CPU time: 0.140706 seconds
% 0.14/5.65 % Total memory used: 67.956 MB
% 0.14/5.65 % Net memory used: 67.866 MB
%------------------------------------------------------------------------------