%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SYN038-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n006.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 03:14:58 PM UTC 2026
% Result : Unsatisfiable 0.08s 0.38s
% Output : CNFRefutation 0.08s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 7
% Syntax : Number of formulae : 27 ( 4 unt; 0 def)
% Number of atoms : 59 ( 0 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 55 ( 23 ~; 32 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 1 ( 1 usr; 0 con; 2-2 aty)
% Number of variables : 52 ( 52 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
! [X,Y] :
( q(Y,f(X,Y))
| ~ p(X,Y)
| ~ p(X,f(X,Y)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,negated_conjecture,
! [X,Y] :
( p(X,f(X,Y))
| ~ q(Y,f(X,Y))
| ~ p(X,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f3,negated_conjecture,
! [X,Y] :
( q(f(X,Y),f(X,Y))
| ~ p(f(X,Y),f(X,Y))
| ~ p(X,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f4,negated_conjecture,
! [X,Y] :
( p(f(X,Y),f(X,Y))
| p(X,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f5,negated_conjecture,
! [X,Y] :
( ~ q(f(X,Y),f(X,Y))
| p(X,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f6,negated_conjecture,
! [X,Y] :
( q(f(X,Y),f(X,Y))
| q(X,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f7,negated_conjecture,
! [X,Y] :
( ~ q(f(X,Y),f(X,Y))
| ~ q(X,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f8,plain,
! [X0,X1] :
( q(X1,f(X0,X1))
| ~ p(X0,X1)
| ~ p(X0,f(X0,X1)) ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f9,plain,
! [X0,X1] :
( p(X0,f(X0,X1))
| ~ q(X1,f(X0,X1))
| ~ p(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f10,plain,
! [X0,X1] :
( q(f(X0,X1),f(X0,X1))
| ~ p(f(X0,X1),f(X0,X1))
| ~ p(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f11,plain,
! [X0,X1] :
( p(f(X0,X1),f(X0,X1))
| p(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f12,plain,
! [X0,X1] :
( ~ q(f(X0,X1),f(X0,X1))
| p(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f13,plain,
! [X0,X1] :
( q(f(X0,X1),f(X0,X1))
| q(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f14,plain,
! [X0,X1] :
( ~ q(f(X0,X1),f(X0,X1))
| ~ q(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f17,plain,
! [X0,X1] :
( p(X0,X1)
| q(X0,X1) ),
inference(resolution,[status(thm)],[f13,f12]) ).
fof(f18,plain,
! [X0,X1] :
( q(f(X0,X1),f(X0,X1))
| ~ p(X0,X1) ),
inference(backward_subsumption_resolution,[status(thm)],[f10,f17]) ).
fof(f21,plain,
! [X0,X1] :
( p(X1,f(X1,X0))
| ~ p(X1,X0)
| p(X0,f(X1,X0)) ),
inference(resolution,[status(thm)],[f17,f9]) ).
fof(f28,plain,
! [X0,X1] :
( p(X0,X1)
| p(f(X0,X1),f(f(X0,X1),f(X0,X1)))
| p(f(X0,X1),f(f(X0,X1),f(X0,X1))) ),
inference(resolution,[status(thm)],[f21,f11]) ).
fof(f29,plain,
! [X0,X1] :
( p(X0,X1)
| p(f(X0,X1),f(f(X0,X1),f(X0,X1))) ),
inference(duplicate_literals_removal,[status(thm)],[f28]) ).
fof(f30,plain,
! [X0,X1] :
( q(f(X0,X1),f(f(X0,X1),f(X0,X1)))
| ~ p(f(X0,X1),f(X0,X1))
| p(X0,X1) ),
inference(resolution,[status(thm)],[f29,f8]) ).
fof(f32,plain,
! [X0,X1] :
( q(f(f(X0,X1),f(f(X0,X1),f(X0,X1))),f(f(X0,X1),f(f(X0,X1),f(X0,X1))))
| p(X0,X1) ),
inference(resolution,[status(thm)],[f29,f18]) ).
fof(f33,plain,
! [X0,X1] :
( q(f(X0,X1),f(f(X0,X1),f(X0,X1)))
| p(X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[f30,f11]) ).
fof(f39,plain,
! [X0,X1] :
( ~ q(f(X0,X1),f(f(X0,X1),f(X0,X1)))
| p(X0,X1) ),
inference(resolution,[status(thm)],[f32,f14]) ).
fof(f42,plain,
! [X0,X1] : p(X0,X1),
inference(forward_subsumption_resolution,[status(thm)],[f39,f33]) ).
fof(f44,plain,
! [X0,X1] : q(f(X0,X1),f(X0,X1)),
inference(backward_subsumption_resolution,[status(thm)],[f18,f42]) ).
fof(f46,plain,
! [X0,X1] : ~ q(X0,X1),
inference(backward_subsumption_resolution,[status(thm)],[f14,f44]) ).
fof(f48,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[f44,f46]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN038-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.36 % Computer : n006.cluster.edu
% 0.08/0.36 % Model : x86_64 x86_64
% 0.08/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.36 % Memory : 8046.5625MB
% 0.08/0.36 % OS : Linux 6.8.0-71-generic
% 0.08/0.36 % CPULimit : 300
% 0.08/0.36 % WCLimit : 300
% 0.08/0.36 % DateTime : Mon Sep 21 10:39:42 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.08/0.37 % Drodi V4.1.1
% 0.08/0.38 % Refutation found
% 0.08/0.38 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.08/0.38 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.08/0.40 % Elapsed time: 0.031857 seconds
% 0.08/0.40 % CPU time: 0.104112 seconds
% 0.08/0.40 % Total memory used: 16.670 MB
% 0.08/0.40 % Net memory used: 16.194 MB
%------------------------------------------------------------------------------