%------------------------------------------------------------------------------
% File : Z3---4.15.1
% Problem : LCL667+1.001 : TPTP v9.3.1. Released v4.0.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : run_E %s %d THM
% Computer : n027.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 : Mon Sep 7 03:00:32 PM UTC 2026
% Result : CounterSatisfiable 0.13s 0.40s
% Output : Model 0.13s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
tff(p201_type,type,
p201: $i > $o ).
tff(p101_type,type,
p101: $i > $o ).
tff(r1_type,type,
r1: ( $i * $i ) > $o ).
tff(formula1,axiom,
! [X0: $i] :
( p201(X0)
<=> $true ) ).
tff(formula2,axiom,
! [X0: $i] :
( p101(X0)
<=> $true ) ).
tff(formula3,axiom,
! [X0: $i,X1: $i] :
( r1(X0,X1)
<=> $true ) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LCL667+1.001 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.02 % Command : run_E %s %d THM
% 0.09/0.34 % Computer : n027.cluster.edu
% 0.09/0.34 % Model : x86_64 x86_64
% 0.09/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.34 % Memory : 8046.5625MB
% 0.09/0.34 % OS : Linux 6.8.0-71-generic
% 0.09/0.34 % CPULimit : 300
% 0.09/0.34 % WCLimit : 300
% 0.09/0.34 % DateTime : Sat Sep 5 15:28:15 UTC 2026
% 0.09/0.35 % CPUTime :
% 0.13/0.40 % SZS status CounterSatisfiable
% 0.13/0.40 % SZS output start Model
% See solution above
% 0.13/0.40 % E exiting
%------------------------------------------------------------------------------