%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SYN107-1 : TPTP v9.3.1. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n004.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 03:15:14 PM UTC 2026
% Result : Unsatisfiable 0.14s 0.48s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 4
% Syntax : Number of formulae : 12 ( 6 unt; 0 def)
% Number of atoms : 18 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 14 ( 8 ~; 6 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 1 ( 1 usr; 1 con; 0-0 aty)
% Number of variables : 11 ( 11 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
s0(d),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f135,axiom,
! [A] :
( ~ s0(A)
| q1(A,A,A) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f167,axiom,
! [J,A] :
( ~ q1(A,J,J)
| k2(J,J) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f369,negated_conjecture,
! [X] : ~ k2(X,d),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f370,plain,
s0(d),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f562,plain,
! [X0] :
( ~ s0(X0)
| q1(X0,X0,X0) ),
inference(cnf_transformation,[status(thm)],[f135]) ).
fof(f613,plain,
! [J] :
( ! [A] : ~ q1(A,J,J)
| k2(J,J) ),
inference(miniscoping,[status(thm)],[f167]) ).
fof(f614,plain,
! [X0,X1] :
( ~ q1(X1,X0,X0)
| k2(X0,X0) ),
inference(cnf_transformation,[status(thm)],[f613]) ).
fof(f924,plain,
! [X0] : ~ k2(X0,d),
inference(cnf_transformation,[status(thm)],[f369]) ).
fof(f1011,plain,
! [X0] :
( k2(X0,X0)
| ~ s0(X0) ),
inference(resolution,[status(thm)],[f562,f614]) ).
fof(f1013,plain,
k2(d,d),
inference(resolution,[status(thm)],[f1011,f370]) ).
fof(f1014,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f1013,f924]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : SYN107-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.05 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.41 % Computer : n004.cluster.edu
% 0.14/0.41 % Model : x86_64 x86_64
% 0.14/0.41 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.41 % Memory : 8046.5625MB
% 0.14/0.41 % OS : Linux 6.8.0-71-generic
% 0.14/0.41 % CPULimit : 300
% 0.14/0.41 % WCLimit : 300
% 0.14/0.41 % DateTime : Mon Sep 21 10:43:06 UTC 2026
% 0.14/0.42 % CPUTime :
% 0.14/0.45 % Drodi V4.1.1
% 0.14/0.48 % Refutation found
% 0.14/0.48 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.14/0.48 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.14/0.51 % Elapsed time: 0.088334 seconds
% 0.14/0.51 % CPU time: 0.242883 seconds
% 0.14/0.51 % Total memory used: 42.752 MB
% 0.14/0.51 % Net memory used: 42.650 MB
%------------------------------------------------------------------------------