%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SWC097-1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n011.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 02:39:57 PM UTC 2026
% Result : Unsatisfiable 0.03s 15.47s
% Output : CNFRefutation 0.03s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 11
% Syntax : Number of formulae : 36 ( 6 unt; 5 def)
% Number of atoms : 78 ( 15 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 85 ( 43 ~; 37 |; 0 &)
% ( 5 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 9 ( 7 usr; 6 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 6 con; 0-2 aty)
% Number of variables : 7 ( 7 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f190,negated_conjecture,
sk2 = sk4,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f191,negated_conjecture,
sk1 = sk3,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f192,negated_conjecture,
( neq(sk2,nil)
| neq(sk2,nil) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f197,negated_conjecture,
! [A] :
( ~ neq(sk4,nil)
| app(sk1,cons(A,nil)) != sk2
| ~ ssItem(A) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f198,negated_conjecture,
( ~ neq(sk4,nil)
| ssItem(sk5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f199,negated_conjecture,
( ~ neq(sk4,nil)
| app(sk3,cons(sk5,nil)) = sk4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
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,
( neq(sk2,nil)
| neq(sk2,nil) ),
inference(cnf_transformation,[status(thm)],[f192]) ).
fof(f442,plain,
( ~ neq(sk4,nil)
| ! [A] :
( app(sk1,cons(A,nil)) != sk2
| ~ ssItem(A) ) ),
inference(miniscoping,[status(thm)],[f197]) ).
fof(f443,plain,
! [X0] :
( ~ neq(sk4,nil)
| app(sk1,cons(X0,nil)) != sk2
| ~ ssItem(X0) ),
inference(cnf_transformation,[status(thm)],[f442]) ).
fof(f444,plain,
( ~ neq(sk4,nil)
| ssItem(sk5) ),
inference(cnf_transformation,[status(thm)],[f198]) ).
fof(f445,plain,
( ~ neq(sk4,nil)
| app(sk3,cons(sk5,nil)) = sk4 ),
inference(cnf_transformation,[status(thm)],[f199]) ).
fof(f453,definition,
( sQ2_spl
<=> neq(sk2,nil) ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f454,plain,
( ~ sQ2_spl
| neq(sk2,nil) ),
inference(component_clause,[status(thm)],[f453]) ).
fof(f456,plain,
sQ2_spl,
inference(split_clause,[status(thm)],[f436,f453]) ).
fof(f457,definition,
( sQ3_spl
<=> neq(sk4,nil) ),
introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).
fof(f459,plain,
( sQ3_spl
| ~ neq(sk4,nil) ),
inference(component_clause,[status(thm)],[f457]) ).
fof(f461,definition,
! [X0] :
( sQ4_spl
<=> ( app(sk1,cons(X0,nil)) != sk2
| ~ ssItem(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).
fof(f462,plain,
! [X0] :
( ~ sQ4_spl
| app(sk1,cons(X0,nil)) != sk2
| ~ ssItem(X0) ),
inference(component_clause,[status(thm)],[f461]) ).
fof(f465,definition,
( sQ5_spl
<=> ssItem(sk5) ),
introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).
fof(f466,plain,
( ~ sQ5_spl
| ssItem(sk5) ),
inference(component_clause,[status(thm)],[f465]) ).
fof(f469,definition,
( sQ6_spl
<=> app(sk3,cons(sk5,nil)) = sk4 ),
introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition]) ).
fof(f470,plain,
( ~ sQ6_spl
| app(sk3,cons(sk5,nil)) = sk4 ),
inference(component_clause,[status(thm)],[f469]) ).
fof(f473,plain,
( ~ sQ3_spl
| sQ4_spl ),
inference(split_clause,[status(thm)],[f443,f461,f457]) ).
fof(f474,plain,
( ~ sQ3_spl
| sQ5_spl ),
inference(split_clause,[status(thm)],[f444,f465,f457]) ).
fof(f475,plain,
( ~ sQ3_spl
| sQ6_spl ),
inference(split_clause,[status(thm)],[f445,f469,f457]) ).
fof(f507,plain,
( ~ sQ2_spl
| neq(sk4,nil) ),
inference(forward_demodulation,[status(thm)],[f434,f454]) ).
fof(f508,plain,
( sQ3_spl
| ~ sQ2_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f459,f507]) ).
fof(f509,plain,
( sQ3_spl
| ~ sQ2_spl ),
inference(contradiction_clause,[status(thm)],[f508]) ).
fof(f510,plain,
! [X0] :
( ~ sQ4_spl
| app(sk3,cons(X0,nil)) != sk2
| ~ ssItem(X0) ),
inference(forward_demodulation,[status(thm)],[f435,f462]) ).
fof(f511,plain,
! [X0] :
( ~ sQ4_spl
| app(sk3,cons(X0,nil)) != sk4
| ~ ssItem(X0) ),
inference(forward_demodulation,[status(thm)],[f434,f510]) ).
fof(f523,plain,
( ~ sQ6_spl
| ~ sQ4_spl
| ~ ssItem(sk5) ),
inference(resolution,[status(thm)],[f511,f470]) ).
fof(f525,plain,
( ~ sQ6_spl
| ~ sQ4_spl
| ~ sQ5_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f523,f466]) ).
fof(f526,plain,
( ~ sQ6_spl
| ~ sQ4_spl
| ~ sQ5_spl ),
inference(contradiction_clause,[status(thm)],[f525]) ).
fof(f527,plain,
$false,
inference(sat_refutation,[status(thm)],[f456,f473,f474,f475,f509,f526]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : SWC097-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.02 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.34 % Computer : n011.cluster.edu
% 0.08/0.34 % Model : x86_64 x86_64
% 0.08/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.34 % Memory : 8046.5625MB
% 0.08/0.34 % OS : Linux 6.8.0-71-generic
% 0.03/15.43 % CPULimit : 300
% 0.03/15.43 % WCLimit : 300
% 0.03/15.43 % DateTime : Mon Sep 21 07:55:38 UTC 2026
% 0.03/15.43 % CPUTime :
% 0.03/15.44 % Drodi V4.1.1
% 0.03/15.47 % Refutation found
% 0.03/15.47 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.03/15.47 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.03/15.49 % Elapsed time: 0.046210 seconds
% 0.03/15.49 % CPU time: 0.092867 seconds
% 0.03/15.49 % Total memory used: 108.775 MB
% 0.03/15.49 % Net memory used: 108.644 MB
%------------------------------------------------------------------------------