%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SYN006-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n007.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 03:14:54 PM UTC 2026
% Result : Unsatisfiable 0.19s 0.48s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 7
% Syntax : Number of formulae : 20 ( 12 unt; 0 def)
% Number of atoms : 32 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 29 ( 17 ~; 12 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 4 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 7 ( 6 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 1 con; 0-1 aty)
% Number of variables : 36 ( 36 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
! [X,Y] :
( q2(X,f(Y))
| q1(f(X),Y)
| ~ p1(X,f(Y)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,negated_conjecture,
! [Y] : p1(a,Y),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f3,negated_conjecture,
! [X,Y] : ~ q2(X,f(Y)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f4,negated_conjecture,
! [X,Y] :
( q4(X,f(Y))
| q3(f(X),Y)
| ~ p2(X,f(Y)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f5,negated_conjecture,
! [X,Y] : ~ q3(X,g(Y)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f6,negated_conjecture,
! [X,Y] : ~ q4(f(f(X)),f(g(f(Y)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f7,negated_conjecture,
! [X,Y] :
( p2(f(X),Y)
| ~ q1(X,f(Y)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f8,plain,
! [X0,X1] :
( q2(X0,f(X1))
| q1(f(X0),X1)
| ~ p1(X0,f(X1)) ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f9,plain,
! [X0] : p1(a,X0),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f10,plain,
! [X0,X1] : ~ q2(X0,f(X1)),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f11,plain,
! [X0,X1] :
( q4(X0,f(X1))
| q3(f(X0),X1)
| ~ p2(X0,f(X1)) ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f12,plain,
! [X0,X1] : ~ q3(X0,g(X1)),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f13,plain,
! [X0,X1] : ~ q4(f(f(X0)),f(g(f(X1)))),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f14,plain,
! [X0,X1] :
( p2(f(X0),X1)
| ~ q1(X0,f(X1)) ),
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f15,plain,
! [X0,X1] :
( q1(f(X0),X1)
| ~ p1(X0,f(X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[f8,f10]) ).
fof(f16,plain,
! [X0,X1] :
( q3(f(f(f(X0))),g(f(X1)))
| ~ p2(f(f(X0)),f(g(f(X1)))) ),
inference(resolution,[status(thm)],[f11,f13]) ).
fof(f17,plain,
! [X0,X1] : ~ p2(f(f(X0)),f(g(f(X1)))),
inference(forward_subsumption_resolution,[status(thm)],[f16,f12]) ).
fof(f18,plain,
! [X0,X1] : ~ q1(f(X0),f(f(g(f(X1))))),
inference(resolution,[status(thm)],[f17,f14]) ).
fof(f19,plain,
! [X0,X1] : ~ p1(X0,f(f(f(g(f(X1)))))),
inference(resolution,[status(thm)],[f18,f15]) ).
fof(f20,plain,
$false,
inference(resolution,[status(thm)],[f19,f9]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SYN006-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.06 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.44 % Computer : n007.cluster.edu
% 0.19/0.44 % Model : x86_64 x86_64
% 0.19/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.19/0.44 % Memory : 8046.5625MB
% 0.19/0.44 % OS : Linux 6.8.0-71-generic
% 0.19/0.44 % CPULimit : 300
% 0.19/0.44 % WCLimit : 300
% 0.19/0.44 % DateTime : Mon Sep 21 10:36:50 UTC 2026
% 0.19/0.44 % CPUTime :
% 0.19/0.45 % Drodi V4.1.1
% 0.19/0.48 % Refutation found
% 0.19/0.48 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.19/0.48 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.19/0.50 % Elapsed time: 0.052332 seconds
% 0.19/0.50 % CPU time: 0.124453 seconds
% 0.19/0.50 % Total memory used: 12.397 MB
% 0.19/0.50 % Net memory used: 11.978 MB
%------------------------------------------------------------------------------