%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SWC007-1 : 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 02:39:33 PM UTC 2026
% Result : Unsatisfiable 0.11s 0.79s
% Output : CNFRefutation 0.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 11
% Syntax : Number of formulae : 40 ( 16 unt; 4 def)
% Number of atoms : 82 ( 27 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 86 ( 44 ~; 38 |; 0 &)
% ( 4 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 5 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 19 ( 19 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f8,axiom,
ssList(nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f73,axiom,
! [U] :
( app(U,nil) = U
| ~ ssList(U) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f74,axiom,
! [U] :
( app(nil,U) = U
| ~ ssList(U) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f187,negated_conjecture,
ssList(sk2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f190,negated_conjecture,
nil = sk3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f192,negated_conjecture,
sk1 = sk3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f193,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(f201,plain,
ssList(nil),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f267,plain,
! [X0] :
( app(X0,nil) = X0
| ~ ssList(X0) ),
inference(cnf_transformation,[status(thm)],[f73]) ).
fof(f268,plain,
! [X0] :
( app(nil,X0) = X0
| ~ ssList(X0) ),
inference(cnf_transformation,[status(thm)],[f74]) ).
fof(f425,plain,
ssList(sk2),
inference(cnf_transformation,[status(thm)],[f187]) ).
fof(f428,plain,
nil = sk3,
inference(cnf_transformation,[status(thm)],[f190]) ).
fof(f430,plain,
sk1 = sk3,
inference(cnf_transformation,[status(thm)],[f192]) ).
fof(f431,plain,
! [A,C] :
( app(A,C) != sk1
| ! [B] :
( app(app(A,B),C) != sk2
| ~ ssList(C)
| ~ ssList(B)
| ~ ssList(A) ) ),
inference(miniscoping,[status(thm)],[f193]) ).
fof(f432,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)],[f431]) ).
fof(f471,plain,
app(nil,nil) = nil,
inference(resolution,[status(thm)],[f267,f201]) ).
fof(f472,plain,
app(sk2,nil) = sk2,
inference(resolution,[status(thm)],[f267,f425]) ).
fof(f475,plain,
app(nil,sk2) = sk2,
inference(resolution,[status(thm)],[f268,f425]) ).
fof(f478,plain,
sk1 = nil,
inference(forward_demodulation,[status(thm)],[f428,f430]) ).
fof(f479,plain,
! [X0,X1,X2] :
( app(X0,X2) != nil
| app(app(X0,X1),X2) != sk2
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(forward_demodulation,[status(thm)],[f478,f432]) ).
fof(f481,definition,
( sQ2_spl
<=> ssList(sk2) ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f483,plain,
( sQ2_spl
| ~ ssList(sk2) ),
inference(component_clause,[status(thm)],[f481]) ).
fof(f487,definition,
( sQ4_spl
<=> ssList(nil) ),
introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).
fof(f489,plain,
( sQ4_spl
| ~ ssList(nil) ),
inference(component_clause,[status(thm)],[f487]) ).
fof(f494,plain,
! [X0] :
( app(app(nil,X0),nil) != sk2
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(nil) ),
inference(resolution,[status(thm)],[f471,f479]) ).
fof(f496,definition,
! [X0] :
( sQ6_spl
<=> ( app(app(nil,X0),nil) != sk2
| ~ ssList(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition]) ).
fof(f497,plain,
! [X0] :
( ~ sQ6_spl
| app(app(nil,X0),nil) != sk2
| ~ ssList(X0) ),
inference(component_clause,[status(thm)],[f496]) ).
fof(f499,plain,
( sQ6_spl
| ~ sQ4_spl ),
inference(split_clause,[status(thm)],[f494,f487,f496]) ).
fof(f504,plain,
( sQ4_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f489,f201]) ).
fof(f505,plain,
sQ4_spl,
inference(contradiction_clause,[status(thm)],[f504]) ).
fof(f531,plain,
( ~ sQ6_spl
| app(sk2,nil) != sk2
| ~ ssList(sk2) ),
inference(paramodulation,[status(thm)],[f475,f497]) ).
fof(f533,definition,
( sQ9_spl
<=> app(sk2,nil) = sk2 ),
introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition]) ).
fof(f535,plain,
( sQ9_spl
| app(sk2,nil) != sk2 ),
inference(component_clause,[status(thm)],[f533]) ).
fof(f536,plain,
( ~ sQ6_spl
| ~ sQ9_spl
| ~ sQ2_spl ),
inference(split_clause,[status(thm)],[f531,f481,f533,f496]) ).
fof(f541,plain,
( sQ2_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f483,f425]) ).
fof(f542,plain,
sQ2_spl,
inference(contradiction_clause,[status(thm)],[f541]) ).
fof(f544,plain,
( sQ9_spl
| sk2 != sk2 ),
inference(forward_demodulation,[status(thm)],[f472,f535]) ).
fof(f545,plain,
( sQ9_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f544]) ).
fof(f546,plain,
sQ9_spl,
inference(contradiction_clause,[status(thm)],[f545]) ).
fof(f547,plain,
$false,
inference(sat_refutation,[status(thm)],[f499,f505,f536,f542,f546]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWC007-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.73 % Computer : n020.cluster.edu
% 0.11/0.73 % Model : x86_64 x86_64
% 0.11/0.73 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.73 % Memory : 8046.5625MB
% 0.11/0.73 % OS : Linux 6.8.0-71-generic
% 0.11/0.73 % CPULimit : 300
% 0.11/0.73 % WCLimit : 300
% 0.11/0.73 % DateTime : Mon Sep 21 07:49:33 UTC 2026
% 0.11/0.74 % CPUTime :
% 0.11/0.75 % Drodi V4.1.1
% 0.11/0.79 % Refutation found
% 0.11/0.79 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.11/0.79 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.15/0.81 % Elapsed time: 0.067907 seconds
% 0.15/0.81 % CPU time: 0.174630 seconds
% 0.15/0.81 % Total memory used: 108.764 MB
% 0.15/0.81 % Net memory used: 108.627 MB
%------------------------------------------------------------------------------