%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SET786-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n003.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 02:10:36 PM UTC 2026
% Result : Unsatisfiable 0.15s 0.39s
% Output : CNFRefutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 6
% Syntax : Number of formulae : 24 ( 2 unt; 3 def)
% Number of atoms : 55 ( 0 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 60 ( 29 ~; 28 |; 0 &)
% ( 3 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 4 prp; 0-2 aty)
% Number of functors : 2 ( 2 usr; 1 con; 0-1 aty)
% Number of variables : 14 ( 14 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
! [B,A] :
( ~ element(A,sk1)
| ~ element(A,B)
| ~ element(B,A) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,negated_conjecture,
! [A] :
( element(A,sk2(A))
| element(A,sk1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f3,negated_conjecture,
! [A] :
( element(sk2(A),A)
| element(A,sk1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f4,plain,
! [A] :
( ~ element(A,sk1)
| ! [B] :
( ~ element(A,B)
| ~ element(B,A) ) ),
inference(miniscoping,[status(thm)],[f1]) ).
fof(f5,plain,
! [X0,X1] :
( ~ element(X1,sk1)
| ~ element(X1,X0)
| ~ element(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f6,plain,
! [X0] :
( element(X0,sk2(X0))
| element(X0,sk1) ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f7,plain,
! [X0] :
( element(sk2(X0),X0)
| element(X0,sk1) ),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f8,plain,
! [X0] :
( element(sk1,sk1)
| ~ element(sk2(sk1),X0)
| ~ element(X0,sk2(sk1)) ),
inference(resolution,[status(thm)],[f5,f7]) ).
fof(f9,definition,
! [X0] :
( sQ0_spl
<=> ( ~ element(sk2(sk1),X0)
| ~ element(X0,sk2(sk1)) ) ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f10,plain,
! [X0] :
( ~ sQ0_spl
| ~ element(sk2(sk1),X0)
| ~ element(X0,sk2(sk1)) ),
inference(component_clause,[status(thm)],[f9]) ).
fof(f12,definition,
( sQ1_spl
<=> element(sk1,sk1) ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f13,plain,
( ~ sQ1_spl
| element(sk1,sk1) ),
inference(component_clause,[status(thm)],[f12]) ).
fof(f15,plain,
( sQ1_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f8,f9,f12]) ).
fof(f16,plain,
( ~ sQ0_spl
| element(sk1,sk1)
| ~ element(sk1,sk2(sk1)) ),
inference(resolution,[status(thm)],[f10,f7]) ).
fof(f18,definition,
( sQ2_spl
<=> element(sk1,sk2(sk1)) ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f20,plain,
( sQ2_spl
| ~ element(sk1,sk2(sk1)) ),
inference(component_clause,[status(thm)],[f18]) ).
fof(f21,plain,
( ~ sQ0_spl
| sQ1_spl
| ~ sQ2_spl ),
inference(split_clause,[status(thm)],[f16,f18,f12,f9]) ).
fof(f29,plain,
! [X0] :
( ~ sQ1_spl
| ~ element(sk1,X0)
| ~ element(X0,sk1) ),
inference(resolution,[status(thm)],[f13,f5]) ).
fof(f31,plain,
( ~ sQ1_spl
| ~ element(sk1,sk1) ),
inference(resolution,[status(thm)],[f29,f13]) ).
fof(f33,plain,
( ~ sQ1_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f31,f13]) ).
fof(f34,plain,
~ sQ1_spl,
inference(contradiction_clause,[status(thm)],[f33]) ).
fof(f35,plain,
( sQ2_spl
| element(sk1,sk1) ),
inference(resolution,[status(thm)],[f20,f6]) ).
fof(f36,plain,
( sQ2_spl
| sQ1_spl ),
inference(split_clause,[status(thm)],[f35,f12,f18]) ).
fof(f37,plain,
$false,
inference(sat_refutation,[status(thm)],[f15,f21,f34,f36]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET786-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.35 % Computer : n003.cluster.edu
% 0.11/0.35 % Model : x86_64 x86_64
% 0.11/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.35 % Memory : 8046.5625MB
% 0.11/0.35 % OS : Linux 6.8.0-71-generic
% 0.11/0.35 % CPULimit : 300
% 0.11/0.35 % WCLimit : 300
% 0.11/0.35 % DateTime : Mon Sep 21 05:39:45 UTC 2026
% 0.11/0.36 % CPUTime :
% 0.11/0.36 % Drodi V4.1.1
% 0.15/0.39 % Refutation found
% 0.15/0.39 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.15/0.39 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.15/0.41 % Elapsed time: 0.047355 seconds
% 0.15/0.41 % CPU time: 0.129370 seconds
% 0.15/0.41 % Total memory used: 16.447 MB
% 0.15/0.41 % Net memory used: 15.843 MB
%------------------------------------------------------------------------------