%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SYN350-1 : TPTP v9.3.1. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n016.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 03:15:51 PM UTC 2026
% Result : Unsatisfiable 0.10s 0.39s
% Output : CNFRefutation 0.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 6
% Syntax : Number of formulae : 20 ( 4 unt; 2 def)
% Number of atoms : 43 ( 0 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 40 ( 17 ~; 21 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 3 prp; 0-2 aty)
% Number of functors : 2 ( 2 usr; 1 con; 0-2 aty)
% Number of variables : 16 ( 16 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
! [X,Y] :
( f(z(X,Y),a)
| ~ f(a,z(X,Y)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f3,negated_conjecture,
! [X,Y] :
( f(X,z(X,Y))
| f(Y,z(X,Y))
| f(a,z(X,Y)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f5,negated_conjecture,
! [X,Y] :
( ~ f(X,Y)
| f(Y,z(X,Y))
| f(a,z(X,Y)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f6,negated_conjecture,
! [X,Y] :
( ~ f(X,Y)
| ~ f(Y,z(X,Y))
| ~ f(a,z(X,Y)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f7,plain,
! [X0,X1] :
( f(z(X0,X1),a)
| ~ f(a,z(X0,X1)) ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f9,plain,
! [X0,X1] :
( f(X0,z(X0,X1))
| f(X1,z(X0,X1))
| f(a,z(X0,X1)) ),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f11,plain,
! [X0,X1] :
( ~ f(X0,X1)
| f(X1,z(X0,X1))
| f(a,z(X0,X1)) ),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f12,plain,
! [X0,X1] :
( ~ f(X0,X1)
| ~ f(X1,z(X0,X1))
| ~ f(a,z(X0,X1)) ),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f13,plain,
f(z(a,a),a),
inference(resolution,[status(thm)],[f9,f7]) ).
fof(f33,definition,
( sQ3_spl
<=> f(z(a,a),a) ),
introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).
fof(f35,plain,
( sQ3_spl
| ~ f(z(a,a),a) ),
inference(component_clause,[status(thm)],[f33]) ).
fof(f40,plain,
( f(a,z(z(a,a),a))
| f(a,z(z(a,a),a)) ),
inference(resolution,[status(thm)],[f13,f11]) ).
fof(f41,definition,
( sQ4_spl
<=> f(a,z(z(a,a),a)) ),
introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).
fof(f42,plain,
( ~ sQ4_spl
| f(a,z(z(a,a),a)) ),
inference(component_clause,[status(thm)],[f41]) ).
fof(f44,plain,
sQ4_spl,
inference(split_clause,[status(thm)],[f40,f41]) ).
fof(f74,plain,
( ~ sQ4_spl
| ~ f(z(a,a),a)
| ~ f(a,z(z(a,a),a)) ),
inference(resolution,[status(thm)],[f12,f42]) ).
fof(f83,plain,
( ~ sQ3_spl
| ~ sQ4_spl ),
inference(split_clause,[status(thm)],[f74,f41,f33]) ).
fof(f92,plain,
( sQ3_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f35,f13]) ).
fof(f93,plain,
sQ3_spl,
inference(contradiction_clause,[status(thm)],[f92]) ).
fof(f94,plain,
$false,
inference(sat_refutation,[status(thm)],[f44,f83,f93]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN350-1 : TPTP v9.3.1. Released v1.2.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.36 % Computer : n016.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 10:55:40 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.37 % Drodi V4.1.1
% 0.10/0.39 % Refutation found
% 0.10/0.39 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.10/0.39 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.10/0.41 % Elapsed time: 0.037552 seconds
% 0.10/0.41 % CPU time: 0.102353 seconds
% 0.10/0.41 % Total memory used: 14.523 MB
% 0.10/0.41 % Net memory used: 14.067 MB
%------------------------------------------------------------------------------