%------------------------------------------------------------------------------
% File : Twee---2.7
% Problem : SWX206+1 : TPTP v9.3.1. Released v9.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_twee /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n003.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 : Tue Sep 29 01:45:34 PM UTC 2026
% Result : Theorem 0.16s 0.30s
% Output : CNFRefutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 2
% Syntax : Number of formulae : 6 ( 6 unt; 0 def)
% Number of atoms : 6 ( 5 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 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 : 4 ( 0 sgn 0 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(c1,conjecture,
? [X] : x2(X,X) = X,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goal_005) ).
fof(c2,negated_conjecture,
~ ? [X2] : x2(X2,X2) = X2,
inference(negate_conjecture,[status(cth)],[c1]) ).
cnf(c3,plain,
x2(X2,X2) != X2,
inference(clausify,[status(esa)],[c2]) ).
cnf(c4,axiom,
x2(z,Y) = Y,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_003) ).
cnf(c5,plain,
x2(z,z) = z,
inference(substitution,[status(thm)],[c4]) ).
cnf(c6,plain,
$false,
inference(resolution,[status(thm)],[c3,c5]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWX206+1 : TPTP v9.3.1. Released v9.3.0.
% 0.00/0.04 % Command : run_twee /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.07/0.24 % Computer : n003.cluster.edu
% 0.07/0.24 % Model : x86_64 x86_64
% 0.07/0.24 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.24 % Memory : 8046.5625MB
% 0.07/0.24 % OS : Linux 6.8.0-71-generic
% 0.07/0.24 % CPULimit : 300
% 0.07/0.24 % WCLimit : 300
% 0.07/0.24 % DateTime : Mon Sep 28 15:11:41 UTC 2026
% 0.07/0.24 % CPUTime :
% 0.07/0.24 Running run_twee /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.16/0.30 Command-line arguments: --lhs-weight 1 --flip-ordering --normalise-queue-percent 10 --cp-renormalise-threshold 10 --complete-subsets --ground-joining-incomplete-limit 15 --flatten-every 2
% 0.16/0.30
% 0.16/0.30 % SZS status Theorem
% 0.16/0.30
% 0.16/0.30 % SZS output start CNFRefutation
% See solution above
% 0.16/0.30
% 0.16/0.30 RESULT: Theorem (the conjecture is true).
%------------------------------------------------------------------------------