%------------------------------------------------------------------------------
% File : Z3---4.15.1
% Problem : ALG443+1 : TPTP v9.0.0. Released v6.4.0.
% Transfm : none
% Format : tptp
% Command : run_E %s %d THM
% Computer : n011.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sat Jun 21 04:59:07 AM UTC 2025
% Result : Satisfiable 0.14s 0.40s
% Output : Model 0.14s
% Verified :
% SZS Type : Derivation
% Derivation depth : 0
% Number of leaves : 1
% Syntax : Number of formulae : 1 ( 1 unt; 0 typ; 0 def)
% Number of atoms : 1 ( 1 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 0 ( 0 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 1 ( 0 usr; 0 prp; 2-2 aty)
% Number of functors : 1 ( 1 usr; 0 con; 3-3 aty)
% Number of variables : 3 ( 3 !; 0 ?; 3 :)
% Comments :
%------------------------------------------------------------------------------
tff(f_type,type,
f: ( $i * $i * $i ) > $i ).
tff(formula1,axiom,
! [X0: $i,X1: $i,X2: $i] : ( f(X0,X1,X2) = X2 ) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.14 % Problem : ALG443+1 : TPTP v9.0.0. Released v6.4.0.
% 0.13/0.14 % Command : run_E %s %d THM
% 0.14/0.36 % Computer : n011.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Thu Jun 19 11:15:56 EDT 2025
% 0.14/0.36 % CPUTime :
% 0.14/0.40 % SZS status Satisfiable
% 0.14/0.40 % SZS output start Model
% See solution above
% 0.14/0.40 % E exiting
%------------------------------------------------------------------------------