%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SYN327-1 : TPTP v9.3.1. Released v1.2.0.
% 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 03:15:45 PM UTC 2026
% Result : Unsatisfiable 0.02s 0.39s
% Output : CNFRefutation 0.02s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 6
% Syntax : Number of formulae : 21 ( 3 unt; 2 def)
% Number of atoms : 42 ( 0 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 40 ( 19 ~; 19 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 3 prp; 0-2 aty)
% Number of functors : 2 ( 2 usr; 1 con; 0-1 aty)
% Number of variables : 8 ( 8 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
! [Y] :
( f(a,Y)
| f(Y,a) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,negated_conjecture,
! [Y] :
( ~ f(a,z(Y))
| f(Y,a) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f4,negated_conjecture,
! [Y] :
( ~ f(z(Y),Y)
| ~ f(Y,a)
| f(a,z(Y)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f5,negated_conjecture,
! [Y] :
( ~ f(a,z(Y))
| ~ f(a,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f7,plain,
! [X0] :
( f(a,X0)
| f(X0,a) ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f8,plain,
! [X0] :
( ~ f(a,z(X0))
| f(X0,a) ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f10,plain,
! [X0] :
( ~ f(z(X0),X0)
| ~ f(X0,a)
| f(a,z(X0)) ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f11,plain,
! [X0] :
( ~ f(a,z(X0))
| ~ f(a,X0) ),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f15,plain,
( f(a,z(a))
| ~ f(a,a)
| f(a,z(a)) ),
inference(resolution,[status(thm)],[f10,f7]) ).
fof(f16,definition,
( sQ0_spl
<=> f(a,z(a)) ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f17,plain,
( ~ sQ0_spl
| f(a,z(a)) ),
inference(component_clause,[status(thm)],[f16]) ).
fof(f19,definition,
( sQ1_spl
<=> f(a,a) ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f21,plain,
( sQ1_spl
| ~ f(a,a) ),
inference(component_clause,[status(thm)],[f19]) ).
fof(f22,plain,
( ~ sQ1_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f15,f16,f19]) ).
fof(f23,plain,
( ~ sQ0_spl
| f(a,a) ),
inference(resolution,[status(thm)],[f17,f8]) ).
fof(f24,plain,
( ~ sQ0_spl
| ~ f(a,a) ),
inference(resolution,[status(thm)],[f11,f17]) ).
fof(f27,plain,
( ~ sQ0_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f24,f23]) ).
fof(f28,plain,
~ sQ0_spl,
inference(contradiction_clause,[status(thm)],[f27]) ).
fof(f29,plain,
( sQ1_spl
| $false ),
inference(resolution,[status(thm)],[f21,f7]) ).
fof(f33,plain,
sQ1_spl,
inference(contradiction_clause,[status(thm)],[f29]) ).
fof(f34,plain,
$false,
inference(sat_refutation,[status(thm)],[f22,f28,f33]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN327-1 : TPTP v9.3.1. Released v1.2.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n002.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.02/0.36 % CPULimit : 300
% 0.02/0.36 % WCLimit : 300
% 0.02/0.36 % DateTime : Mon Sep 21 10:52:17 UTC 2026
% 0.02/0.36 % CPUTime :
% 0.02/0.37 % Drodi V4.1.1
% 0.02/0.39 % Refutation found
% 0.02/0.39 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.02/0.39 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.02/0.42 % Elapsed time: 0.046281 seconds
% 0.02/0.42 % CPU time: 0.114469 seconds
% 0.02/0.42 % Total memory used: 16.466 MB
% 0.02/0.42 % Net memory used: 15.916 MB
%------------------------------------------------------------------------------