%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SWC189-1 : 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 02:40:20 PM UTC 2026
% Result : Unsatisfiable 0.10s 0.41s
% Output : CNFRefutation 0.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 13
% Syntax : Number of formulae : 40 ( 21 unt; 5 def)
% Number of atoms : 73 ( 14 equ)
% Maximal formula atoms : 6 ( 1 avg)
% Number of connectives : 60 ( 27 ~; 28 |; 0 &)
% ( 5 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 2 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 9 ( 7 usr; 6 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 7 con; 0-2 aty)
% Number of variables : 8 ( 8 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f191,negated_conjecture,
sk1 = sk3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f192,negated_conjecture,
! [A,B,C,D] :
( app(app(app(C,cons(A,nil)),cons(B,nil)),D) != sk3
| A = B
| ~ ssList(D)
| ~ ssList(C)
| ~ ssItem(B)
| ~ ssItem(A) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f193,negated_conjecture,
ssItem(sk5),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f194,negated_conjecture,
ssItem(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,
ssList(sk8),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f197,negated_conjecture,
app(app(app(sk7,cons(sk5,nil)),cons(sk6,nil)),sk8) = sk1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f198,negated_conjecture,
sk5 != sk6,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f434,plain,
sk1 = sk3,
inference(cnf_transformation,[status(thm)],[f191]) ).
fof(f435,plain,
! [X0,X1,X2,X3] :
( app(app(app(X2,cons(X0,nil)),cons(X1,nil)),X3) != sk3
| X0 = X1
| ~ ssList(X3)
| ~ ssList(X2)
| ~ ssItem(X1)
| ~ ssItem(X0) ),
inference(cnf_transformation,[status(thm)],[f192]) ).
fof(f436,plain,
ssItem(sk5),
inference(cnf_transformation,[status(thm)],[f193]) ).
fof(f437,plain,
ssItem(sk6),
inference(cnf_transformation,[status(thm)],[f194]) ).
fof(f438,plain,
ssList(sk7),
inference(cnf_transformation,[status(thm)],[f195]) ).
fof(f439,plain,
ssList(sk8),
inference(cnf_transformation,[status(thm)],[f196]) ).
fof(f440,plain,
app(app(app(sk7,cons(sk5,nil)),cons(sk6,nil)),sk8) = sk1,
inference(cnf_transformation,[status(thm)],[f197]) ).
fof(f441,plain,
sk5 != sk6,
inference(cnf_transformation,[status(thm)],[f198]) ).
fof(f480,plain,
app(app(app(sk7,cons(sk5,nil)),cons(sk6,nil)),sk8) = sk3,
inference(forward_demodulation,[status(thm)],[f434,f440]) ).
fof(f482,definition,
( sQ2_spl
<=> ssList(sk8) ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f484,plain,
( sQ2_spl
| ~ ssList(sk8) ),
inference(component_clause,[status(thm)],[f482]) ).
fof(f492,plain,
( sk5 = sk6
| ~ ssList(sk8)
| ~ ssList(sk7)
| ~ ssItem(sk6)
| ~ ssItem(sk5) ),
inference(resolution,[status(thm)],[f435,f480]) ).
fof(f494,definition,
( sQ5_spl
<=> ssItem(sk5) ),
introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).
fof(f496,plain,
( sQ5_spl
| ~ ssItem(sk5) ),
inference(component_clause,[status(thm)],[f494]) ).
fof(f497,definition,
( sQ6_spl
<=> ssItem(sk6) ),
introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition]) ).
fof(f499,plain,
( sQ6_spl
| ~ ssItem(sk6) ),
inference(component_clause,[status(thm)],[f497]) ).
fof(f500,definition,
( sQ7_spl
<=> ssList(sk7) ),
introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition]) ).
fof(f502,plain,
( sQ7_spl
| ~ ssList(sk7) ),
inference(component_clause,[status(thm)],[f500]) ).
fof(f503,definition,
( sQ8_spl
<=> sk5 = sk6 ),
introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition]) ).
fof(f504,plain,
( ~ sQ8_spl
| sk5 = sk6 ),
inference(component_clause,[status(thm)],[f503]) ).
fof(f506,plain,
( sQ8_spl
| ~ sQ2_spl
| ~ sQ7_spl
| ~ sQ6_spl
| ~ sQ5_spl ),
inference(split_clause,[status(thm)],[f492,f494,f497,f500,f482,f503]) ).
fof(f511,plain,
( sQ2_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f484,f439]) ).
fof(f512,plain,
sQ2_spl,
inference(contradiction_clause,[status(thm)],[f511]) ).
fof(f513,plain,
( ~ sQ8_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f504,f441]) ).
fof(f514,plain,
~ sQ8_spl,
inference(contradiction_clause,[status(thm)],[f513]) ).
fof(f515,plain,
( sQ7_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f502,f438]) ).
fof(f516,plain,
sQ7_spl,
inference(contradiction_clause,[status(thm)],[f515]) ).
fof(f517,plain,
( sQ5_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f496,f436]) ).
fof(f518,plain,
sQ5_spl,
inference(contradiction_clause,[status(thm)],[f517]) ).
fof(f519,plain,
( sQ6_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f499,f437]) ).
fof(f520,plain,
sQ6_spl,
inference(contradiction_clause,[status(thm)],[f519]) ).
fof(f521,plain,
$false,
inference(sat_refutation,[status(thm)],[f506,f512,f514,f516,f518,f520]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWC189-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.36 % Computer : n004.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Mon Sep 21 08:02:49 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.39 % Drodi V4.1.1
% 0.10/0.41 % Refutation found
% 0.10/0.41 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.10/0.41 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.10/0.44 % Elapsed time: 0.063713 seconds
% 0.10/0.44 % CPU time: 0.163964 seconds
% 0.10/0.44 % Total memory used: 105.329 MB
% 0.10/0.44 % Net memory used: 105.186 MB
%------------------------------------------------------------------------------