%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SWX206+1 : TPTP v9.3.1. Released v9.3.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n017.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 03:13:26 PM UTC 2026
% Result : Theorem 0.22s 0.51s
% Output : CNFRefutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 2
% Syntax : Number of formulae : 8 ( 8 unt; 0 def)
% Number of atoms : 8 ( 7 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 4 ( 4 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 3 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 2 ( 2 usr; 1 con; 0-2 aty)
% Number of variables : 6 ( 4 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
! [Y] : x2(z,Y) = Y,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f5,conjecture,
? [X] : x2(X,X) = X,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f6,negated_conjecture,
~ ? [X] : x2(X,X) = X,
inference(negated_conjecture,[status(cth)],[f5]) ).
fof(f9,plain,
! [X0] : x2(z,X0) = X0,
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f11,plain,
! [X] : x2(X,X) != X,
inference(pre_NNF_transformation,[status(thm)],[f6]) ).
fof(f12,plain,
! [X0] : x2(X0,X0) != X0,
inference(cnf_transformation,[status(thm)],[f11]) ).
fof(f28,plain,
z != z,
inference(paramodulation,[status(thm)],[f9,f12]) ).
fof(f29,plain,
$false,
inference(trivial_equality_resolution,[status(thm)],[f28]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SWX206+1 : TPTP v9.3.1. Released v9.3.0.
% 0.00/0.07 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.22/0.47 % Computer : n017.cluster.edu
% 0.22/0.47 % Model : x86_64 x86_64
% 0.22/0.47 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.22/0.47 % Memory : 8046.5625MB
% 0.22/0.47 % OS : Linux 6.8.0-71-generic
% 0.22/0.47 % CPULimit : 300
% 0.22/0.47 % WCLimit : 300
% 0.22/0.47 % DateTime : Mon Sep 21 10:28:42 UTC 2026
% 0.22/0.48 % CPUTime :
% 0.22/0.50 % Drodi V4.1.1
% 0.22/0.51 % Refutation found
% 0.22/0.51 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.22/0.51 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.25/0.58 % Elapsed time: 0.077749 seconds
% 0.25/0.58 % CPU time: 0.035234 seconds
% 0.25/0.58 % Total memory used: 429.936 KB
% 0.25/0.58 % Net memory used: 405.824 KB
%------------------------------------------------------------------------------