%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SET838-2 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n008.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 02:10:45 PM UTC 2026
% Result : Unsatisfiable 0.14s 15.67s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 4
% Syntax : Number of formulae : 16 ( 7 unt; 0 def)
% Number of atoms : 25 ( 24 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 22 ( 13 ~; 9 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 1 con; 0-1 aty)
% Number of variables : 6 ( 6 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
v_f(v_g(v_x)) = v_x,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2,negated_conjecture,
! [V_U] :
( v_f(v_g(V_U)) != V_U
| V_U = v_x ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f3,negated_conjecture,
! [V_U] :
( v_g(v_f(V_U)) != V_U
| v_g(v_f(v_xa(V_U))) = v_xa(V_U) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4,negated_conjecture,
! [V_U] :
( v_g(v_f(V_U)) != V_U
| v_xa(V_U) != V_U ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f5,plain,
v_f(v_g(v_x)) = v_x,
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f6,plain,
! [X0] :
( v_f(v_g(X0)) != X0
| X0 = v_x ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f7,plain,
! [X0] :
( v_g(v_f(X0)) != X0
| v_g(v_f(v_xa(X0))) = v_xa(X0) ),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f8,plain,
! [X0] :
( v_g(v_f(X0)) != X0
| v_xa(X0) != X0 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f11,plain,
( v_g(v_x) != v_g(v_x)
| v_g(v_f(v_xa(v_g(v_x)))) = v_xa(v_g(v_x)) ),
inference(paramodulation,[status(thm)],[f5,f7]) ).
fof(f12,plain,
v_g(v_f(v_xa(v_g(v_x)))) = v_xa(v_g(v_x)),
inference(trivial_equality_resolution,[status(thm)],[f11]) ).
fof(f13,plain,
( v_g(v_x) != v_g(v_x)
| v_xa(v_g(v_x)) != v_g(v_x) ),
inference(paramodulation,[status(thm)],[f5,f8]) ).
fof(f14,plain,
v_xa(v_g(v_x)) != v_g(v_x),
inference(trivial_equality_resolution,[status(thm)],[f13]) ).
fof(f19,plain,
( v_f(v_xa(v_g(v_x))) != v_f(v_xa(v_g(v_x)))
| v_f(v_xa(v_g(v_x))) = v_x ),
inference(paramodulation,[status(thm)],[f12,f6]) ).
fof(f21,plain,
v_g(v_x) = v_xa(v_g(v_x)),
inference(backward_demodulation,[status(thm)],[f22,f12]) ).
fof(f22,plain,
v_f(v_xa(v_g(v_x))) = v_x,
inference(trivial_equality_resolution,[status(thm)],[f19]) ).
fof(f23,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f21,f14]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SET838-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.06 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/15.63 % Computer : n008.cluster.edu
% 0.14/15.63 % Model : x86_64 x86_64
% 0.14/15.63 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/15.63 % Memory : 8046.5625MB
% 0.14/15.63 % OS : Linux 6.8.0-71-generic
% 0.14/15.63 % CPULimit : 300
% 0.14/15.63 % WCLimit : 300
% 0.14/15.63 % DateTime : Mon Sep 21 05:41:54 UTC 2026
% 0.14/15.63 % CPUTime :
% 0.14/15.64 % Drodi V4.1.1
% 0.14/15.67 % Refutation found
% 0.14/15.67 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.14/15.67 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.18/15.75 % Elapsed time: 0.111935 seconds
% 0.18/15.75 % CPU time: 0.096595 seconds
% 0.18/15.75 % Total memory used: 2.079 MB
% 0.18/15.75 % Net memory used: 2.079 MB
%------------------------------------------------------------------------------